{"text":"Question: Is 144805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 + 131?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/26?  (a) 25  (b) -1  (c) -2  (d) -33  (e) -30  (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -487*p. Let z(r) = 3*r + 4. Let k(u) = 11*u + 14. Let f(h) = -h**2 + 15*h - 52. Let d be f(5). Let x(j) = d*k(j) + 7*z(j). Give x(o(i)).\nAnswer: 487*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1153*v**2 - 1166*v**2 + 3478*v**2 - 1180*v**2 - 6 + 9.\nAnswer: -21*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*f = 247279*b - 247281*b - 652, 4*f = 5*b - 278 for f.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -3 + 3 - 2*x. Let p(i) = 5*i. Determine u(p(n)).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -417 + 416.8. Which is smaller: w or -0.195?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -28 - -24.8. Let o = x + 3. Suppose 58585*l - 58316*l = 269. Put 2, l, o, -2 in descending order.\nAnswer: 2, l, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 198  (b) -3\/7  (c) 4\/7  (d) 1  (e) -1  (f) -0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (7\/(-98)*12)\/((-3)\/(-21)). Let z(i) = 7*i**2 + 6*i. Let b(l) = 6*l**2 + 5*l. Determine f*b(t) + 5*z(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 5182 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 4 - 107*g**3 + 106*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(78)*-6 - -4*(sqrt(78)*-1 - sqrt(78)))\/(sqrt(864) - (sqrt(864) + (sqrt(864) - 2*sqrt(864)))).\nAnswer: -7*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = 0, 0 = -4*h - 8*x + 6*x + 23356. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 0*j + j**2 + 5*j - 11*j - 4. Let d be h(7). Suppose 0 = -d*b + 15 + 39. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.09, 0.1, -8?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -386*f - 147*f - 73*f - 1 + 2*f + 1 - f + 0*f + 0*f + (-1 + 4 - 2)*(-2 - f + 2) - 3*f + 4*f + f + 3*f + 0*f - f.\nAnswer: -602*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.47 in 5, -3\/2, 5.2, -2\/17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 986883.5 nanoseconds?\nAnswer: 0.9868835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that s**4 + 1787*s**3 - 166789*s**2 + 328213*s - 163212 = 0.\nAnswer: -1876, 1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 54  (b) 8  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3.2 + -7.2. Which is the second biggest value?  (a) 2\/5  (b) g  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + u - 5*u = -14, -5*y + 3*u + 1 = 0. Suppose 2*t - 12 = -5*k, -y*t = -k - 4*t + 4. What is the derivative of -2*s + 2*s + k*s**4 - 2 wrt s?\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -56546, -107867, -159188?\n\"Answer: -51321*r - 5225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*x**3 + 5394*x**2 - 137280*x - 55776 = 0 for x.\nAnswer: -2\/5, 28, 332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1097 and 133.48?\nAnswer: 1230.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/3  (b) -2  (c) -5  (d) -7.51  (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 4*(sqrt(75) + 2 + 0 + sqrt(75) + -5))*5.\nAnswer: -40 + 200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2382173.\nAnswer: 2382173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 7102.995ml?\nAnswer: 7.102995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**3 + 40*c**2 + 4268*c + 164920. Calculate r(-39).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 51\/102 - (-3)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 9, 7, 0.2, 222?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vrrvrrerrere. What is prob of picking 2 v and 1 e?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36006*g + 189591*g - 4504*g.\nAnswer: 221093*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 888456 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 17 + 62. Calculate the remainder when t is divided by ((-36)\/(-174))\/(-3) + 1\/(-9) + 76296\/6264.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q - 6. Let l be d(5). Suppose -x + 2*x - 1 = -2*k, -3*x = 3*k - 6. Let s(u) = -1479*u + 1 - 6*u**x - 2*u**2 + 1479*u. What is s(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/8)\/((-23)\/(-322))*8\/(-14)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2786?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 496927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 23 - 22.9. Let w = -1 - m. Round w to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 272 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 6, -1, 60, 1.2, -4, 5\/7, 4?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 321.8 - 322. Let v be 0 + 2 + (-40)\/1. Let g be (v\/(-18) + -2)*-2. Sort 3\/7, f, g.\nAnswer: g, f, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1422.5 + -1422.6. Which is the fourth smallest value?  (a) 1\/8  (b) -8  (c) s  (d) -2\/11  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 2*w**4\/3 + 224312*w**3\/3 - 11220706*w**2\/3 - 3964544*w + 7630008 = 0.\nAnswer: -112206, -2, 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3\/(-2) - -2)*0. Suppose -3*g + 4*k - 5 + 17 = 0, -5*k - 15 = a. Suppose g = -2*x + 7*x - 785. List the prime factors of x.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 31428761 and 10829.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.260873 less than -17?\nAnswer: -18.260873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5949 is divided by 820.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*a + 12 = 18*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*o - 178*o - 33*o - 43*o + 303*o.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 199*i - 32 + 64 - 32 as z + y*i and give y.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-1 + sqrt(117) + 1 + 3*(1*sqrt(13) + 1 + sqrt(13))))**2.\nAnswer: 486*sqrt(13) + 9558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 81 + 2*b + 9*b - 81 - 17*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9373.\nAnswer: 7, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -9*a**3 + 27*a**2*z + 78*a + 493864*z wrt a?\nAnswer: -27*a**2 + 54*a*z + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -5, -30, -75, -140, -225, -330?\n\"Answer: -10*r**2 + 5*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 + 7. Let t be ((-4)\/10 - 0)\/((-19)\/(-285)). Let g(l) = -l**3 - 18*l**2 + 37*l - 55. Let x be g(-20). Sort n, x, t in decreasing order.\nAnswer: x, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -201551, -404714, -607877, -811040?\nAnswer: -1014203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2200112212001200 - -2?\nAnswer: 2200112212001202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.01003 - -0.61003. What is the biggest value in l, 1, -0.04, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 8 = -x - 31, -3*j - 4*x = 42. Let q = 3.06 + -0.06. Let t = q - 3. Which is the closest to j?  (a) t  (b) 1\/4  (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.04112 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 14*s**3 - 2*s**2 - 4*s + 1. What is the tens digit of p(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (424\/159)\/(8\/(-72))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11093 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - ((-6 - 1 - -4) + 8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 16\/3*765\/34. Let f = t - -10. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -m - 2 + 2 - 3*m + 5*m - 4*m + (4*m - 3*m + m)*(-1 + 0 + 0) + 15 + 5 + 2 - m + (0 - 3 + 1)*(m - 1 + 1) + 3*m - 2*m + 0*m to f + h*m and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/20)\/((-6)\/(360\/(-6)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*c**2 + 1 - 29*c**2 - 142*c + c**3 + 144*c to w*c**3 + v + o*c**2 + x*c and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 107594 is divided by 106717.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the second derivative of 0*n**2 + 0 - 1\/3*n**3 - 4*n. Let y(x) = x. Give y(a(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 81\/12 - 2\/(-8). Let r be (-8)\/28*h\/(-5). Let x be -2 - (-8)\/6*2. What is the nearest to r in x, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d**3 + 2*d**3 - 6*d**3)*(5*d + 0*d + 0*d) - 3*d**4 + 4*d**4 + 3*d**4 + 0*d**2 - 2*d**4 - d**2 - d**2.\nAnswer: -8*d**4 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12111121111010 - 0?\nAnswer: -12111121111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -5*x - 42. Let i be p(7). Let f(u) = -u**3 + 2*u**2 + 2*u - 4. Let j be f(5). Let r = j - i. Solve -r*d = -4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-170)\/5 - (0 + -2). Find the common denominator of -11\/3 and 2\/(-3)*a\/(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*n**4*u + 42*n**2*u - 90*u wrt n?\nAnswer: 8*n**3*u + 84*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*j + 523 + 89. Let f = 188 - j. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -39 + 40.7. What is u rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, 0, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*g + 4 - 1308*g**2 + 5016*g**2 - 4 to x*g + s + o*g**2 and give o.\nAnswer: 3708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-14)\/(-4) - 4) + -4 - (-1116)\/(-24).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 856306 * -4\nAnswer: -3425224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the first derivative of -t**4\/8 - 13*t**3\/6 + t**2\/4 + 13*t\/2 - 198. Factor z(d).\nAnswer: -(d - 1)*(d + 1)*(d + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2746364 or 1\/6?\nAnswer: -2746364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 276\/15 - (-2)\/(-5). Suppose 0 = k - 0*k - 2. Solve 3*j - r = 4*d, 10 = -2*d - k*d - j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1537114 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 5, 3\/7, 1\/6, -1, 0.1 in ascending order.\nAnswer: -1, 0.1, 1\/6, 3\/7, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/(-15)*((-25)\/(-12))\/((273\/(-1560))\/(-7))?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -4*l + 2*l - 6 + 5*l - 5*l. Determine z(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 6*o + 2*o - 72 = 0, o = 4*h - 60. Let a(g) = g - h - 3*g + 14. Let p(q) = -5*q. Give p(a(l)).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**3 + 4*z**2 - 276*z - 128. What is l(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -d (base 16) to base 5.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*k + 2*k + 0*k + (-5 + 5 - 1)*(2*k + 3*k - 2*k).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 73629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 261300 (base 7) to base 3.\nAnswer: 2110112200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -50  (b) 0  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxss when four letters picked without replacement from xxssxxssxsxsx?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 7330 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 36*s**2 - 16*s + 90. Is d(-18) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that -10 - 52\/5*q**2 + 2\/15*q**5 - 62\/3*q + 4\/3*q**3 + 6\/5*q**4 = 0.\nAnswer: -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2765197 - -22089303\/8. Let n = a - -4027. Find the common denominator of -77\/18 and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 132882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t = -109 + 97 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k\/(((k\/(k*k*k**(-6)))\/k)\/k)*k**6*(k*k\/(k\/k**(1\/5)*k*k)*k)\/k**(-2\/17) assuming k is positive.\nAnswer: k**(367\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1048971 a multiple of 717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o**4 + o**4 - 2*o**4)*(132487 - 132487 - 537*o + (-3 - 3 + 4)*(o - o - 2*o))*(-3 + 4 - 3) + (3*o**2 - 3*o**2 + 2*o**2)*(2*o**3 - 5*o**3 + o**3).\nAnswer: -2136*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -3*d - 1. What is p(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/7  (b) 0  (c) 0.05  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 149987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 3*k**2. Let o(v) be the second derivative of v**6\/120 + v**3\/3 - 6*v. Let g(a) be the second derivative of o(a). Give q(g(m)).\nAnswer: 27*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the second derivative of 0 + 0*n**3 + 0*n**6 + 0*n**2 + 3*n - 1\/3*n**4 + 1\/42*n**7 + 0*n**5. What is the third derivative of d(y) wrt y?\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.2488172 to 2 dps.\nAnswer: 5.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**4\/7 + 240*q**3\/7 + 9348*q**2\/7 + 107584*q\/7 - 413526\/7.\nAnswer: 2*(q - 3)*(q + 41)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -760800 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1133410?\nAnswer: 2, 5, 113341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12 - 23. Let i(b) = -b + 10. Let h be i(m). What is the third derivative of 4340 + h*c**2 - 34*c**5 - 4340 wrt c?\nAnswer: -2040*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 - (-72 - -55) - (0 - -24)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the first derivative of y**4\/2 + 6*y**3 - 66*y**2 + 112*y - 3368. Factor s(c).\nAnswer: 2*(c - 4)*(c - 1)*(c + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -3*z. Let b(w) = 9*w**2 - 5*w. What is b(k(a))?\nAnswer: 81*a**2 + 15*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46730.\nAnswer: 2, 5, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 29 = 5*s, -3*s + 25 = -0*a - 5*a. Let d be 6\/(-12)*a\/3. Suppose -p - d - 1\/3*p**3 - p**2 = 0. What is p?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*n**4*r**2 + 5*n**2*r**3 + 14*n*r**3 - 7*r**3 wrt n.\nAnswer: -48*n**2*r**2 + 10*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 106 divided by -99\nAnswer: -106\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(1\/5)\/(j*j**14))\/(j**(-11)\/(j**12*j)))**(-5\/6) assuming j is positive.\nAnswer: j**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 5*n = 61, 5*n - 10 = 15. Let w(f) = f**3 - 11*f**2 - 11*f + 8. Let q be w(m). Let u = q - 18. Solve u*g = -s - 10 + 3, 3*g + 9 = -2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k = -34*k + 56. Solve -4*d = -s + 2 + 8, 0 = 5*d - k*s + 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -50, 162, -0.13, 0.2.\nAnswer: -50, -0.13, 0.2, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 336 = 2*m, 2*c + 4*m = -0 + 156. List the prime factors of c.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*a + 320 - 33 = -63 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10200.1 centuries to millennia.\nAnswer: 1020.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (13530\/(-540) + 25)*(0 + (3 - 1)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10 by -17.\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4\/11 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 41884083023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -57138.304 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -103, 0.5, 637?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*a = 7*a + 44. Suppose 13*t - a*t - 24 = 0. Calculate the lowest common multiple of t and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**2 - 1317. Let d(a) = -903*a**2. Calculate t(d(m)).\nAnswer: -815409*m**4 - 1317","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 2 + z + 0)*(2*z**3 - z**3 + z**3).\nAnswer: 2*z**4 - 10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1177*o + 4*w + 11 = -1178*o, 0 = -2*o - 2*w - 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**5 - 279*g**4 - 6345*g**3 + 6627*g**2.\nAnswer: -3*g**2*(g - 1)*(g + 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -250 = -f + 5*x, 0 = -f + 3*x + 81 + 175. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 2, z: 5, i: 3, k: 3}. Give prob of sequence zzoz.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the first derivative of 0*c**3 - 3\/4*c**4 - 1\/2*c**6 + 6\/5*c**5 + 0*c + 1 + 0*c**2. Factor a(p).\nAnswer: -3*p**3*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6*k**2*o - 105941708*k**2 + k*o - 131216*o with respect to o.\nAnswer: -6*k**2 + k - 131216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.03 - -0.43. Let k = x - 0.2. Is 1 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23702527 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11 + -8. Suppose i*l - 72 = 2*l. Suppose l = 5*x - x. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes before 10:06 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**2 + 5*w + 4. Let m be i(6). Let y be ((-30)\/975)\/(m\/(-1 + 11)). Which is the closest to 0?  (a) 0.4  (b) 8  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*f**3 + f + 132 - 140 - f**3 - 5*f**3 + 97 as o*f**3 + t*f**2 + v*f + p and give p.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*c = 5*k - 8*c - 2543, c = -2. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:25 PM and 12:39 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2888 and 708.\nAnswer: 511176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3.241 - 0.241. Which is greater: n or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -181 - -177. Which is the fourth biggest value?  (a) v  (b) 0.3  (c) 0  (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1202039 divided by 3.\nAnswer: -1202039\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m\/m**(-6)))\/m*m\/(m\/(m\/(m*(m**6\/m)\/m))))\/(m**0\/m**(-6\/5)) assuming m is positive.\nAnswer: m**(-61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -64196 divided by 3.\nAnswer: -64196\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*((-1)\/(-3))\/((-15)\/45).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 940012 = 7*z - 4*d, 2*z + d = 469997. What is z rounded to the nearest 10000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3575 is divided by 1190.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 511748 is divided by 36437.\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + b - 9667 = 0, 3*b - 3894 + 23243 = 4*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -48*i + 82*i - 279*i as k*i + h and give k.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 582 and 82395195.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32 - 66 = 34*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -300 + -97 + 393 - (0 + -27)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94 = 5*z - 61. Let m = z + -30. Let c = 77\/51 - 3\/17. What is the nearest to 1 in m, 1\/3, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*m - 150 + 72 - 170 = 0 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1396 (base 12) to base 3.\nAnswer: -10010020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes after 4:14 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 228 + 249. Suppose 3*n - p = g, -3*g - 157 = -n - 2*g. Suppose 0 = 30*v - 25*v - n. Calculate the greatest common factor of v and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -263\/78 - -46\/13. Which is the second biggest value?  (a) m  (b) 0.2  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**2 - 46*o - 170. Let f be n(-4). Let s be (-11)\/(715\/(-140)) + -4 - f. Factor -s*i**3 + 4\/13*i**2 + 6\/13*i + 0.\nAnswer: -2*i*(i - 3)*(i + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -3*h - 3*k + 882, -5*k - 232 = -h. Suppose -5*c - 298 = h. Let z = c - -135. Solve -5*y - 11 = -z for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3)*1 - sqrt(3))*1*-6 + sqrt(108) + (sqrt(108) + -3*(sqrt(108) + -1 + sqrt(108) + sqrt(108)))**2.\nAnswer: -282*sqrt(3) + 6921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-28)\/(-70))\/(2\/((-50)\/55)). What is the closest to 0.1 in -2\/3, -6\/5, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2421814\/121 + 20015. Is -4\/9 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2863.366m to millimeters.\nAnswer: 2863366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1228844 by 361.\nAnswer: 3404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 34.1  (b) 1\/5  (c) -2\/301\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 18134 = -9*j, 2*s = -3*j + 19349 + 16919. List the prime factors of s.\nAnswer: 2, 9067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -31 - -35. Suppose -l*h = -3*z - 2, -4*z = -4*h + 5*h - 29. Solve 0 = -2*y + 2*t + z, -11 = -y - 3*t - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4377 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-18))\/(12\/180*(-1)\/2)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -82*74\/(-3034) + 91.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -41*m**2 - 11*m. Let h(z) = -8*z**2 - 2*z. Let t(x) = -33*h(x) + 6*k(x). Let n(g) = g. Determine n(t(b)).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-10))\/(8541\/(-1314))?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.13 - 14.13. Let x = -928 + 925. Sort x, m, 4\/9 in decreasing order.\nAnswer: 4\/9, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (((sqrt(81) + 2*sqrt(81) + sqrt(81))*6)\/sqrt(3))\/(sqrt(81)\/(-2*sqrt(576))))*2.\nAnswer: -768*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -401 (base 12) to base 2.\nAnswer: -1001000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 3634000 to the nearest 100000.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(55)\/((sqrt(180) + -1*sqrt(180) + sqrt(180) - sqrt(5)) + sqrt(5)))**2 + -1.\nAnswer: -25\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1544 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 204376477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 86545*v**2 - 173063*v**2 + 86515*v**2 - 14*v.\nAnswer: -3*v**2 - 14*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i = -i - 5. What is the nearest to -0.1 in i, 0.2, -1\/23?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 31 + (-725 - -673).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the second derivative of 5*j**8\/56 - 3*j**4\/4 - 4*j. Find the third derivative of w(x) wrt x.\nAnswer: 600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -6 + -3 + 12 + -3. Let i(o) be the first derivative of 0*o**3 - 16 - 4\/5*o**5 + 0*o**4 + g*o**2 + 3*o. What is the derivative of i(h) wrt h?\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 4*c = q, -3*c = 4*q - 4. Let n = -8 - -12. Calculate the greatest common divisor of n and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 285509*b**2. Let i(a) = -24*a**2. What is i(p(g))?\nAnswer: -1956369337944*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -2*l + 3*l + 0 - 6. Let i be v(6). Find the second derivative of 3*t + i*t**3 - 4*t**3 - 7*t wrt t.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (21\/(-49))\/(18\/12594). Is x less than or equal to -299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1333 + 175 + 1906 + 851 + 442)*(-15*i**3 - 9*i + 9*i).\nAnswer: -70605*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**3 + 2*c**2 + 9*c - 3. Let g be z(4). Let m(t) = 6*t**2. What is the least common multiple of 6 and m(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*-85.4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the first derivative of -4*v**2 + 3*v**2 + 20*v + 1 - 27*v. Let t(l) = -3*l - 10. Determine 5*t(w) - 7*y(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4 + 0 + -1 + 2. Suppose 9*u - 4*u - 4*j = 30, -d*u = -j - 15. Suppose -3*c = -4*f + 71, 1 + u = c. Calculate the remainder when f is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8 in -1837, 6, -0.2, -0.44, -0.3?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -2*t**4\/7 - 342*t**3\/7 - 338*t**2\/7 + 342*t\/7 + 340\/7 = 0.\nAnswer: -170, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12 and 3852.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 210 + -217. Let r(v) = -408*v + 161. Is r(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 59391616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*-0.19989.\nAnswer: -0.39978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 + 2. Let d = 22 - 20. Let b be d\/a - (-25)\/(-24). Which is greater: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 59829800 divided by 4\nAnswer: 14957450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 129817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 44 = -0*y. Suppose -2*b = 1 - y, 4*j = -4*b + 304. Does 28 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1))**29\/(t**(-2\/5))**10 assuming t is positive.\nAnswer: t**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -259 - -258.979. Let x = d - 0.02. Which is the second smallest value?  (a) -0.5  (b) -1\/7  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -20*s**3*w**2 - 25*s**3*w - 11*s**3 - s**2 + 67 wrt w.\nAnswer: -40*s**3*w - 25*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b = -u + 18, 2*u + 14 + 5 = 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, w: 1, v: 5, j: 8, s: 2}. Give prob of sequence js.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 24826992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (4 - 75\/20) + (-13)\/20\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 271*t**3 - 10*t**2 + 42*t - 167. What are the prime factors of b(4)?\nAnswer: 5, 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*d**3 - 2*d + d**3 + 2*d**3 + (-3*d**2 - d**2 + 5*d**2)*(1 - 1 - 2*d) to u + j*d**3 + t*d + o*d**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.8 times 39?\nAnswer: 148.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -6048, -10931, -14768, -17553, -19280?\n\"Answer: a**3 + 517*a**2 - 6441*a - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**3 - 41*r**2 - 46*r - 213. Let x(m) = 4*m**2 + 7*m - 6. Calculate the smallest common multiple of x(-6) and g(-40).\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**3 - 6*g**2 - 7*g - 2. Suppose 2*s = 5*s + 9, -s = 4*f - 29. Suppose -7 - f = -3*o. Suppose o*c = 12*c - 49. Calculate r(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 2*y**2 + 6*y + 5. Suppose -j - 2*j - 12 = 0. Let d be x(j). Let v = d + -9. Solve 0*o + 5 = -4*o + 5*b, -v*o = b - 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:43 PM and 5:01 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -4224.9 - 0.419\nAnswer: -4225.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**3 + 8*t**2 - 8*t + 4. Let o be b(7). Let j(q) = 4*q + 4. Let h be j(0). What are the prime factors of 66 + o + h - 2?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4b2a4 (base 14) to base 2.\nAnswer: -101101000001000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, m: 2, g: 1, p: 2, o: 1}. What is prob of sequence gb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -2628, -5259, -7888, -10515?\n\"Answer: z**2 - 2634*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -19*-556459\nAnswer: 10572721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 9\/3 + -2 + 5. Suppose q*r = 1 + 41. Let v(w) = -w**3 + 10*w**2 - 6*w - 2. Is v(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -129*s - 1 = t - 134*s, -2*t = 3*s - 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -27 + 26.8. Which is the second biggest value?  (a) -4  (b) n  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7\/9119 in -1\/6, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11, 27, 43, 59, 75?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 371474735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 34*i**3 - 20*i**3 - 15*i**3 - 6 - i**3 + 0*i**3 - i**3 + (-2*i**2 - 2*i + 2*i)*(4 - 4 + i) + 2*i**3 + i - i.\nAnswer: -3*i**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12213669 is divided by 1425.\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -9 + (-7)\/(567\/(-711)). Let a = 0.3 + -0.5. Let r = 0.2 + a. Put p, r, 3 in increasing order.\nAnswer: p, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**2 - 70*l - 120. What is a(-67)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the third derivative of -1\/36*w**5 + 1\/720*w**6 + 2\/9*w**3 + 13*w**2 + 3*w + 0 + 1\/315*w**7 + 1\/2016*w**8 - 1\/36*w**4. Let s(i) = 0. Calculate i.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: -17 + -10 - -20 - -15\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 32 - 29. Suppose -3*g = -0*g - 5*d - 124, 4*g = 3*d + 147. Let q = g - 166\/5. Which is the third biggest value?  (a) q  (b) -3  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*p - 3*p + 2*p + 4*p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -165 - -497\/3. Sort -4, 0.3, c.\nAnswer: -4, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 56038208 by 1108.\nAnswer: 50576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -210 + 217. What is the greatest common factor of 56 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6347 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 1957*t - 30 - 132*t**3 - 3977*t + 2020*t as g + u*t**3 + y*t + q*t**2 and give g.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 88*x + 5751. Give w(-65).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:27 AM and 7:31 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 22*v**3 - v**5 - 10*v**3 - 18*v**3 - 19*v**5 - 200*v**2 wrt v?\nAnswer: -1200*v**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = 5*b + 37, 3*l = -0*b - 4*b - 11. Solve l*y = y + 4*h - 6, 0 = -3*y - 3*h + 27 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -729, -1368, -2435, -3930?\n\"Answer: -214*r**2 + 3*r - 518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2842103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of -12*i**5\/5 + 24*i**3 - 15*i**2\/2 + i - 642. What is the second derivative of r(w) wrt w?\nAnswer: -144*w**2 + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + 53 + -131 + -2?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -38 (base 10) in base 11?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*z + 20 - 118. Let k be 0*((-1 - 5) + z). Solve 5*h - 7*h = k for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.5, 2\/7, 26.\nAnswer: 2\/7, 1.5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes after 11:23 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*b + 3*b - 4*b)*(6*b - b - 3*b) - 66 - 9*b**2 + 66 + 160*b - 160*b + 16*b**2.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 279?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 901989605?\nAnswer: 5, 11, 16399811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 390\/975 + (-2)\/((-80)\/(-26)). Which is the nearest to 2?  (a) g  (b) -2  (c) 2  (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -2*h**3 + 7*h**2 + 6*h + 9. Determine y(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 261*r**3 - 99\/2*r**4 + 3\/2*r**5 + 0 + 324*r - 498*r**2.\nAnswer: 3*r*(r - 27)*(r - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 67397 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o - 3*i + 871 + 699, 0 = 4*o - 3*i + 1253. Let h = 527 + o. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of -10 + (12 - -834) + -6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1244428837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*q + m = 0, 3*q + 3*q - 9*q - 5*m = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.28 - -0.08. Let r = 1 - 2. Let p = r - z. Round p to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 16748, 67043, 150870, 268229, 419120, 603543, 821498?\n\"Answer: 16766*z**2 - 3*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11592*h = -11473*h - 7021 for h.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3*(-4)\/6 + 6. Let q = -123342.94 - -123343. What is the nearest to 0 in q, 3\/2, i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vgeevvvcvee. Give prob of picking 1 c and 1 v.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 11626589 or 0.1?\nAnswer: 11626589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*c + 124*c**2 - 134*c**2 - 3*c as z + d*c + j*c**2 and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j + 269 - 465. Suppose 0 = -5*u + 1 - 31. What are the prime factors of j\/(-8) - u - (-1970)\/16?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3\/7 - -16\/21. Let o = 11 - 10. Which is the third smallest value?  (a) q  (b) o  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 5*m**3 + 2*m**2 - 1. Calculate g(-2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 2 = -3*m - 25, m - 6 = -4*b. Let i(q) = -q**3 - q**2 - q + 2. Let s be i(-2). Suppose 5*n = 4*g + 6, g + 5 = -n + 4*n. Solve s = b*k - g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -899?  (a) -0.009  (b) 5\/3  (c) 1  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -18821, -0.75 in decreasing order.\nAnswer: 3, -0.75, -18821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(-1*sqrt(44) + sqrt(44))\/sqrt(2))\/((-1*sqrt(176) - sqrt(176) - sqrt(11)) + sqrt(110)\/(sqrt(10)*-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 4. Let k(p) = -22*p**2 + 13. What is k(s) - 4*l(s)?\nAnswer: -22*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 50*v. Let b be z(1). Let m = 37 + -22. Let h be ((-300)\/m)\/(-2 - -1). Calculate the greatest common divisor of h and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*q + 27 = 126. What is the remainder when (6\/(-7))\/((-4)\/196) is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-39)\/9 - (-2)\/6. Let v be 2\/(-2)*(-8)\/(-8). Sort v, 1, o in decreasing order.\nAnswer: 1, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 714275*g + 547175 wrt g?\nAnswer: 714275","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1664, 3358, 5098, 6872, 8668?\nAnswer: 10474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = 2*a - 2, 2*a - 1 = 5*k - 5. Let h be 21\/42*(3 + 1). Find the third derivative of 20*l**2 - 2*l**5 - 28*l**k + 14*l**h wrt l.\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the third derivative of m**4\/12 + m**3\/6 - m**2. Let x(g) = g + 1. Let d(p) = u(p) - 3*x(p). What is d(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 500*i**2 - 771*i**2 + 282*i**2.\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -4, 5645 in decreasing order.\nAnswer: 5645, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10 - 18. Is 7 a factor of (3 - (3 - -1))*j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7280 + 8813. Does 73 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -23295 - -23343. What is the third biggest value in b, -48, 0?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*o - 77*o - 7800 = 224*o for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**2 + 278*h - 1094. Let b be d(4). Let u = -254 + 358. Suppose -3*o = -2*i - u, o - 33 = -b*i + 7. What is the highest common factor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + (10 - 12) + (-8 - (7 + -37))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z - z = -4*z + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 31*m + 3. Let f(q) = 46*q + 5. Let t(a) = -3*f(a) + 5*r(a). Let z(n) = -n**2 + 50. Determine t(z(g)).\nAnswer: -17*g**2 + 850","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 + 1. Suppose 2*c - 2*z - g*z = 5, -c = -3*z - 2. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -389840440 by 15476.\nAnswer: -25190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*o + 16470 - 17250 = 0. Solve -3*y + o = -0*y + 5*i, 0 = 4*y + 2*i - 16 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1591 - 12*x**2 + 795 + 796.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5  (b) -9  (c) 14.5  (d) 5  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 96 = -13*h. Let f be 2\/h + (-377)\/78. Let x(a) = 3 - 3 + 2*a. Give x(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/23)\/(21*22\/924)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 2*k**2 - 4*k. Let i(u) be the third derivative of -u**6\/720 + 11*u**4\/4 - 93*u**2. Let h(o) be the second derivative of i(o). Calculate h(s(m)).\nAnswer: -2*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 362.9665*0.3.\nAnswer: 108.88995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = -3*t + 5*q, -106*t + 107*t - 2*q + 6 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18\/4*(-14)\/132*(-116)\/203?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (24 - -1092)*8\/6. Does b = 1494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -2*t**2\/5 + 7276*t\/5 - 7274\/5 = 0.\nAnswer: 1, 3637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2018 + -1986. Solve 10*x - m = 26*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -5*g**3 - g**2 + 6*g - 5. Let f(k) = k**3 - k. Suppose -10 = -2*m, 3*m + 0*m = 5*o + 45. Let w(x) = o*f(x) - t(x). What is the units digit of w(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1020220121012 + -10?\nAnswer: 1020220121002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 25821844 to the power of 1\/2, to the nearest integer?\nAnswer: 5082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 3*l**2 + l - 1. Let j be o(1). Suppose -j*x - 4 + 31 = 0. What is the highest common factor of 36 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h*h**(1\/2))**(1\/26)*h\/h**(-5)*h\/(h\/(h*h\/h**6*h)) assuming h is positive.\nAnswer: h**(161\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (169 - 6*f - 169)*(-198 + 2 + 33).\nAnswer: 978*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -686*u**3 + 66 + 39 + 0 wrt u?\nAnswer: -2058*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.08 times 733\nAnswer: -791.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 14260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1 - -32)\/((-6)\/(-18)). Let u be (80\/(-120))\/(2\/(-93)). What is the greatest common factor of u and g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3290 and 348082?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(250)\/(sqrt(30)\/sqrt(3)))\/(sqrt(5) + sqrt(45) + sqrt(180)\/sqrt(4)).\nAnswer: sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.5  (b) 1\/25  (c) 5  (d) 0.05  (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2589.464 centimeters in kilometers?\nAnswer: 0.02589464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -98, -90, -68, -26, 42?\n\"Answer: k**3 + k**2 - 2*k - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1651926 is divided by 4788?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 24149400131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 1468 divide 348885014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in seven quarters of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 6*r - 0*r. Let q be -1*(-5)\/45*r. Solve 0 + 0*i + q*i**3 + 1\/3*i**2 = 0 for i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qbbsqsqbqbqbbbbqsbs. Give prob of picking 1 b and 2 q.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 438834 and 13664?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(19) + (1*sqrt(19)*-1)**2 - (2 + 0 + sqrt(19)) - sqrt(133)\/(6*sqrt(28)\/sqrt(4)).\nAnswer: -sqrt(19)\/6 + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 + 3. Let g be (q*-12)\/(-3) - -1. Let c be 2\/(-6)*(-2)\/2. What is the nearest to c in g, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1927 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d - 1, -g + d + 4 = 1. Factor -j**g + j**3 - 3 - 3*j + j**2 + 1.\nAnswer: (j - 2)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/5 + (-12)\/20. Let r(f) = -f**2 + 4*f + 1. Let j(l) = -l. What is m*r(g) - 4*j(g)?\nAnswer: g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes after 7:11 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 20465 plus -534.2?\nAnswer: 19930.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4961 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 2 = t - 3*t, 3*r - 5 = 5*t. Suppose -3*i = 12, r = -d + 5*i - 10*i - 25. Let l be d*(-6)\/315*3. Which is smaller: l or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 3*r + 24 = -4*o, 3*o = -r - 16. Let h be 251\/o - 8\/48. Let t = -37 - h. What is the greatest common factor of t and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -0.039, 5, -3, -1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 44 and 410036.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (100\/(-40))\/((10\/4)\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * 50.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 0*k - 18 = 0. Suppose -31*m = -7*m - 360. Let f(z) = -2*z + k + m - 30. Calculate f(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g + 2. Let o be l(4). Find the third derivative of k**3 + k**2 - k**3 + 3*k**o wrt k.\nAnswer: 360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 3 + (-8 - -5 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 11589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:37 AM and 11:49 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -d3e (base 16) in base 15?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 5*c + c - 8 - 15*c**2 - 5 + 3*c. Let q = -3 + 5. Suppose -4*w = -q*w + 12. Let y(x) = -7*x**2 + 4*x - 6. What is w*s(i) + 13*y(i)?\nAnswer: -i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 7 + -2 - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**3 + 16*k**2 + 13*k - 30. Let y be z(-15). Suppose -80*c + 84*c - 1440 = y. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.6 times -77326?\nAnswer: -355699.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 133137?\nAnswer: 3, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -606 = 30*t - 2826. Calculate the highest common factor of 259 and t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 398 minutes before 5:19 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 8, -2\/9, 1, 2, 5, 8\/31?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 23.4 + -24.4. Which is greater: i or -25?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b + 36 = -3*b. Let w be (-3)\/b - (-55)\/4. Let z be (-4)\/w - 8\/(-14). Which is bigger: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:38 AM and 6:15 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 993*a**3 + 2*a + 20. Let f(b) = -4964*b**3 - 11*b - 95. What is -19*d(m) - 4*f(m)?\nAnswer: 989*m**3 + 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1467 - -1509. Is s a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -76 - 4?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 15, w: 3}. What is prob of picking 2 w and 1 y?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.25 - -0.25. Let g = 6.1 + q. Let f = 5.6 - g. Does 0.02 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 418 = -a - 0*a - c, -5*c - 410 = a. Let z = 707 + a. List the prime factors of z.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-5)\/(-1) - 5 - (-64)\/(-8) - -51831.\nAnswer: 29, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 17 = -2*h + 12, 4 = -h. Let z = 11 - 7. Let b be (-1 - -15)*2\/z. Sort a, b, 1.\nAnswer: a, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n + 0*n + n**5)*(-3 + 4 + 1 + (12 - 7 + 4)*(5 - 3 + 0) + (-2 + 0 + 0)*(1 - 4 + 2)).\nAnswer: 22*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the third derivative of k**5\/60 + 17*k**4\/24 + 19*k**3\/2 - k**2 + 5. Let i be w(-13). Solve -i*u = -33 + 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1515 and 3.3823247.\nAnswer: 1518.3823247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 2*-450331\nAnswer: -900662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 + -97?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 189897 is divided by 94913.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kn when two letters picked without replacement from {n: 1, b: 9, k: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 2*sqrt(1584))**2.\nAnswer: 144*sqrt(11) + 6345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2575460853 + -17223096132. Let b = o - -19798557169.00000386. Let f = b - 184. Round f to 7 dps.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d. Let i(y) = 54*y. Determine b(i(g)).\nAnswer: 54*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 266, 534, 802, 1070, 1338?\n\"Answer: 268*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 29668?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 126256806.\nAnswer: 2, 3, 13, 59951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41450820.\nAnswer: 2, 3, 5, 191, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jl when two letters picked without replacement from iljijdsljxlix?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 513, 520, 535, 564, 613?\n\"Answer: h**3 - 2*h**2 + 6*h + 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*s + 2 = 2*s + 4*l, s - 4 = 3*l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 61231277?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**3 - 7*o**2 - 8*o - 9. Let g be p(-6). Suppose 0 = -s + c + 7, -g*s + 27 = -5*c. Solve 4*k - 2*k = s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19053739?\nAnswer: 271, 70309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -c*j - 5*c*z - 7*j*z**2 + 2*j - 8*z**2 wrt j?\nAnswer: -c - 7*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 4) + (-3 - -12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 16*o + 4. Let b be y(1). Let k be -1*(18 + -2)*-1. Let n = b - k. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*j - 16, 1 = x - 2*j + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*w + 70 + 19*w - 70.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -1179 != -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -70*o - 1 + 13*o + 17*o. Suppose 4*w + 14 = -18. Is j(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.5, 192, 2?\nAnswer: 192","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*u - 7*u - 3 + 16*u)*(-9 - 5 + 1).\nAnswer: -52*u + 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -19760 divided by 5\nAnswer: -3952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 560*h - 12741 + 55301 = 0 for h.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**3 + c**2 + c + 2. Let y be u(0). Suppose -i + 3 = 0, -10 + y = o - 5*i. Let b(s) = 5*s - o*s + 2 - 5*s - 3. Give b(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -1 + -1 + -191 + 196.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -210*c - 200*c + 1014*c - 194*c - 2*c**2 - 203*c - 207*c.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -677*r - 5955. What are the prime factors of u(-26)?\nAnswer: 19, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -173183 divided by 2486?\nAnswer: -173183\/2486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.2693 + -0.2307. What is the second smallest value in -2, 0.5, l, 93?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.0246 + 41.2754. Let t = g - 42. Which is the biggest value?  (a) t  (b) -3  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-4 + 3 - 1)*(a - 7*a + 0*a) + 3 - 3 - a + 15*a + 20*a - 6*a - 4*a)*(2 - 3 + 2) to the form u*a + h and give u.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 524338 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*i - 35*i + 240 = -5*d, -3*i + 9*d = 5*d + 25 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/o**0*o)**(11\/6))**(3\/4)*(o**(2\/15)\/o**(-2\/17))\/(o\/(o\/(o**(1\/2)*o*o)))**(-1\/8) assuming o is positive.\nAnswer: o**(13519\/4080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*v + 2*v + 2*v)*(4 + 0 - 6)*(-49 - 63 - 24) to the form p*v + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 190.007 - 190. Let y = 1960.993 - 1960. Let a = q + y. Put -0.11, a, -5 in decreasing order.\nAnswer: a, -0.11, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/24873516 and 73\/776.\nAnswer: 49747032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes before 11:54 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4836856065 and 7905?\nAnswer: 7905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 + (-1)\/(-2) - (-45)\/(-10). Let b be ((5\/(-5))\/(-2))\/(2\/v). Put -2, 2, b in descending order.\nAnswer: 2, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**2 + 3*b + 89. What is the tens digit of n(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:36 PM and 8:31 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the first derivative of -5*g**2 - 2*g - 11. Let b be o(7). What are the prime factors of (-416)\/b - 2\/(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-68)\/(-3)*((-68)\/(-8) + -4). Solve -248*a - p - 327*a**3 - 12*a**2 + 347*a**3 + 6 = 0.\nAnswer: -3, -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1069204 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q**2 - 42*q + 187. Let r be k(37). Factor 3\/4*h**3 + 9\/4*h**r + 3\/4 + 9\/4*h.\nAnswer: 3*(h + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -112 in -5\/31, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cdc when three letters picked without replacement from dddccccccccddcdcccc?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2639?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 + 16\/12*9\/2. Let z be 1\/(1 - v)*36\/(-2). Differentiate -z*k**2 - 14 + 21*k**2 - 22*k**2 with respect to k.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8635, -143, 3, 6 in descending order.\nAnswer: 8635, 6, 3, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 - -10. Suppose 20*q - 24*q = -20. Let w = s - q. Calculate the smallest common multiple of 5 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m + 7. Let y be v(5). Suppose -12 + 133 = y*b - d, 5*b = 5*d + 310. List the prime factors of b.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -101010000000010101 (base 2) in base 6?\nAnswer: -3404313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:50 AM and 2:20 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:18 AM and 9:01 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -2*p - 28. Let b be m(-19). Suppose 0 = -8*q + 6*q + 6014. Suppose -5*s - 2238 = -3*n - b*s, -4*n + s + q = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.01 * 4619.9\nAnswer: 4666.099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -6 * -5.2\nAnswer: 31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 247 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1617978563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2233554?\nAnswer: 2, 3, 191, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9379164 is divided by 2321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the second derivative of -49*t**5\/90 - 329*t**4\/27 + 388*t**3\/27 - 56*t**2\/9 + 3*t + 20. Determine y, given that g(y) = 0.\nAnswer: -14, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/25 of a centimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-3*(sqrt(2057) - (1 + sqrt(2057))) + 3*sqrt(2057)*1 - (sqrt(2057) + (-2*sqrt(2057) - sqrt(2057))*3 - 1*sqrt(2057)*3))**2.\nAnswer: 924*sqrt(17) + 403178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -47 (base 13) to base 5\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2163*g**2 + 623*g**2 + 1073*g**2.\nAnswer: 3859*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -213*d**2 + 8*d - 10 + d - 6*d**2. Let r be g(-10). Round r to the nearest one thousand.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3476375 to the power of 1\/2, to the nearest integer?\nAnswer: 1865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/r**50)\/(r\/(r*r*r*r*r\/r**(26\/7)*r)))\/(r**(-39))**19 assuming r is positive.\nAnswer: r**(4853\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide (2*5424\/28)\/(24\/84)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 656 * -0.5868\nAnswer: -384.9408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b**4\/4 - 413*b**3\/4 + 12581*b**2\/2 - 98136*b - 222264 = 0. What is b?\nAnswer: -2, 36, 343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -3903482 rounded to the nearest ten thousand?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -20304, -20275, -20208, -20085, -19888?\n\"Answer: 3*h**3 + h**2 + 5*h - 20313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5085\/119 + -180\/17. Let d = 1097\/35 - j. Let g be (-12)\/9*(-4)\/16. Put 3\/2, 0.6, g, d in ascending order.\nAnswer: d, g, 0.6, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -8) + 3 + -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 79642 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 7 + (-1)\/1 - 5. Solve -i + 1 = -n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1873207.\nAnswer: 7, 267601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 1 - 7)*(-6 + 2 - 3)*(-5*j**3 - 4*j**3 + 2*j**3).\nAnswer: -539*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 556048789 a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**2 - 53*z + 245. Determine c(46).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(4840))\/(sqrt(8) + (sqrt(8) - sqrt(128))*-4))**2.\nAnswer: 2420\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 1  (b) 0.3  (c) 1\/3  (d) -38  (e) 1\/6  (f) -16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y**4 + 38*y**3 - 56*y**2 - 3008*y - 9216 = 0. Calculate y.\nAnswer: -16, -8, -4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u\/(u**4*u))*u\/u**0)\/(u*(u*u**(2\/3))\/u)**24)\/(((u**(-8)\/u)\/(u*u**(-4\/5)))\/(u**(-1\/2)\/u)**(-2\/37)) assuming u is positive.\nAnswer: u**(-4573\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1.1  (b) 1  (c) -1630\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(1\/4)\/l**4)\/(l\/(l**(-1\/8)\/l)*l**(-1)\/l)*(l**(2\/7)*l**(1\/5))**(-39) assuming l is positive.\nAnswer: l**(-6389\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28251 divided by -657.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**2 + 2*j + 65. Let g be r(9). Solve 0 = -4*c - y - 21, -c - g*c = -2*y + 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 69724405 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9102*y - 4524*y = 4498*y - 4640 for y.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/((-16)\/4))\/(-9*56\/144)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-3))\/(8\/(4\/2)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -6*c**2 + 44*c - 54. Determine j(12).\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 294 and 63?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-31 - -26)\/(1\/(-1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 20*k**2 + 14*k - 14. Let r(v) = 13*v**2 + 9*v - 9. Let u(p) = -8*r(p) + 5*s(p). Suppose -2 = 2*f, -3*g - f = -4*f + 3. What is u(g)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(9)\/(sqrt(3)*1))**2.\nAnswer: 6*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.1 - -0.4. Let f = 25 + -25. Let c = -4 + 4.5. What is the closest to f in q, 2\/7, c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 105258, 210579, 315900, 421221, 526542, 631863?\nAnswer: 737184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the third derivative of -4*k**4\/3 + k**3\/6 + 7*k**2. Let i be l(-2). Suppose 5*h - i = 5. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 15*q - 10. Let l(o) = 8*o - 6. Let h(u) = -4*c(u) + 7*l(u). Let w(j) = -2*j**2 - 2*j + 2. Let a be w(-2). Give h(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (315\/(-42))\/((-5)\/2)*(-16)\/84\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u - 4*s + 4827, -2*u + s - 2*s + 1929 = 0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12922 is divided by 231?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -24 - 1. Let b = c - -36. What is the remainder when 1\/((-40)\/42 + 1) is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 435 and 23200.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 3 = 3*a, -4*i - 1 = -i + 4*a. Suppose -3*k + i*k = -4*g + 12, 33 = 3*k + 3*g. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 9*n + 4. Let f(k) = -3*k - 8. Let o(y) = 14*y + 43. Let h(d) = 11*f(d) + 2*o(d). Calculate -4*a(m) - 7*h(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 524887 - 524885. Factor -39\/8 + 1\/8*o**b - 5\/4*o.\nAnswer: (o - 13)*(o + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -0*y + y - 3*d, 4*y - 2*d - 34 = 0. Suppose -y = -3*n + a + 5, 0 = -a. Suppose n*t = -47 + 312. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*z**2 + 0 - 2*z**2 + 0 - 10*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the first derivative of z**2 + 3*z - 12. Let y(i) = 4*i + 7. What is 5*h(l) - 2*y(l)?\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 8 - 1 = -3*i, -13 = -i - y. Suppose 0 = -4*s + 1 + 3. Let u(f) = -s + f**3 - 4 + 2 - 8*f**2 + 2*f. What is u(i)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 3615 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 + 3. Let t = p + 1. Let u(i) = 4*i**2 + 979*i + 4769. Let h be u(-5). Sort t, h, -1 in increasing order.\nAnswer: h, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, f: 8, u: 4}. Give prob of sequence fff.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-5*2*sqrt(57))\/((sqrt(3) + sqrt(48))*6).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/(-20)*4\/6. Let u = -0.275 - -0.675. Which is the smallest value?  (a) u  (b) 2  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1827 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1820, 3263, 4260, 4589, 4028, 2355?\nAnswer: -652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 614*o**3 + 21*o - 399*o**3 - 2 + 2 + 13*o.\nAnswer: -1013*o**3 + 34*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -3, -0.002, -824, 0, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 >= 3718275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 9112, 18190, 27268?\n\"Answer: 9078*o + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1990, 12, -5, 4 in descending order.\nAnswer: 1990, 12, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/2218168 and -53\/10?\nAnswer: 11090840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*s, 3*s - 26 = -0*z - 4*z. Factor 0*l**4 + z*l**4 - 110*l + 40*l**2 + 110*l - 30*l**3.\nAnswer: 5*l**2*(l - 4)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1145\/50 - (-11)\/110. Solve -77 = r*i - 34*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**2 - 16*d - 18. Determine k(11).\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 144582858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2700 - 2700.3. Let s = 4.31 + 0.69. What is the second biggest value in s, j, -1\/8, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t - 4*l + 8, -5*t = -11*l + 10*l - 25. What is the second smallest value in t, -0.2, 1\/3, -0.3, 2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 67*w**3 - 4*w**2 - w + 9. Let m(o) = -131*o**3 + 10*o**2 + o - 20. Calculate -9*c(a) - 4*m(a).\nAnswer: -79*a**3 - 4*a**2 + 5*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-34))\/((-120)\/320*4\/6)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 12722494?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 16342 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the third derivative of -u**8\/168 + u**6\/30 - u**4\/12 - 7*u**2. Let i(g) = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36108172.\nAnswer: 2, 9027043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*s = 71*s - 105 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1452041?\nAnswer: 53, 27397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in -0.3, 15, 11.8997?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -36805773 + 52305773. What is h rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 798389079.\nAnswer: 3, 266129693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14585 + 17229. Is u bigger than 2644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 84653137 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3 and -0.381?\nAnswer: -0.1143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2.06  (b) 2\/17  (c) 804  (d) 2\/11  (e) 3  (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*i**4*l + 78*i**3*l**2 - 35*i**2*l**2 - 2*i**2*l + 3*l**2 wrt i?\nAnswer: 48*i*l + 468*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 307*q - 4030. Calculate the lowest common multiple of o(22) and 27.\nAnswer: 24516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0019326435 to four decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the third derivative of 0*g**5 - 1\/180*g**6 + 0 - 1\/18*g**3 + 2*g**2 + 0*g + 1\/630*g**7 + 1\/36*g**4. Solve n(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**3 - 5*w**2 + 6*w - 3. Let o be i(4). Solve 5*y + 24 = -2*l, 0 = o*y - 5*l + 4 + 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**3 - 2*q**2 + 3*q + 18. List the prime factors of r(13).\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21 + 8 - (-111 - -99)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in -7\/155, -312, -3\/4?\nAnswer: -7\/155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the second derivative of -1\/2*s**3 - 1\/3*s**4 - 1\/10*s**5 + 2 - 9*s + 0*s**2. Let m(i) = -i**2 - i. Give 4*m(k) - u(k).\nAnswer: 2*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 40\/(-6)*426\/355\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 36 times -576287\nAnswer: -20746332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/66834 and 82\/2115.\nAnswer: 334170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -4b0b4 (base 15) to base 8\nAnswer: -724262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 3900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the first derivative of 49\/2*l**2 + 52\/3*l**3 + 0*l - 28. What is the second derivative of m(r) wrt r?\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 121829*o - 6822426. Give z(56).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/((z*z**(-1))\/z))**10*z**(-15)*z*z*z**17 assuming z is positive.\nAnswer: z**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:46 AM and 12:42 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 6 + 24 + 5*c**3 + c - 2*c**2 as s*c**3 + b*c + d*c**2 + n and give n.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3780.26 - 3780. Sort i, 5\/7, -0.5 in descending order.\nAnswer: 5\/7, i, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let v = 771 + -131073\/170. Let s = 349\/510 + v. Which is the second biggest value?  (a) -3\/2  (b) -1  (c) s  (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 187, -1293.\nAnswer: -1293, -1, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*y - 3*y = -51 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -2, -5, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 215938?\nAnswer: 2, 101, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.7 - 4.7. Let k = 13\/2 + -6. Which is the second smallest value?  (a) k  (b) l  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 3*a = 3*t + 25, 2*t + 6 = 0. Suppose 0 = -l + 5*l + a. Let b(w) = w**3 + 2*w**2 - 2*w - 2. Determine b(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -56*t**2 + t. Let i(q) = 40*q - 2. What is y(i(u))?\nAnswer: -89600*u**2 + 9000*u - 226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 19 * 15\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8332, 11491, 16758, 24133?\nAnswer: 33616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 4 - 2 + l - 1 + l. Let n be h(-3). Sort -2, -4, n in ascending order.\nAnswer: n, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 128458?\nAnswer: 2, 11, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes before 1:10 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*q**3*y + 6*q**3 + 15915*q**2*y - 106698*q**2 + 3*q - 40*y - 1 wrt y?\nAnswer: -2*q**3 + 15915*q**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -30210966 by -24502.\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14369 + 21020. Let h = 2751 - q. Round h to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*b - 83*y + 82*y - 17, 5*b - 5*y = -80 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13672 - 13672 - 2*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-76)\/297 + 18\/243?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5982 and 6.\nAnswer: 5982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -445*f**2 + 42 + 888*f**2 - 440*f**2 + 45*f = 0.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 26*r**2 + 11047*r + 9784. What is d(-424)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -40*j**2 - 12*j - 12. Let l(f) = -16*f**2 - 5*f - 5. Let b(m) = -m**3 - 8*m**2 - 16*m + 7. Let w be b(-5). What is w*l(g) - 5*x(g)?\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -12*r**2 + 5*r - 5. Let p(n) = -6*n**2 + 2*n - 2. Let b(t) = -2*k(t) + 5*p(t). Let j(a) = -2*a**2. Determine j(b(o)).\nAnswer: -72*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 305*x + 2207. Determine g(-7).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ze when two letters picked without replacement from {z: 1, r: 1, t: 4, e: 1, v: 2}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -535*o + 400*o = -2160 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7743956447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (0 - -1) - -1 - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = 6*c - 70. Suppose 3*s + 4 = 5*s. Suppose 4*k - 17 = 3*k - 3*m, s*k = 4*m + 24. Calculate the lowest common multiple of c and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 111*o + 1. Let z = -9 + 15. Let u = 8 - z. Is n(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 187 - 83. Which is bigger: -0.1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 368?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 2*h + 2. Suppose 0 = -4*y - o + 14, 2*o = -0*y - 5*y + 19. Let z(v) = -3*v - 4. Determine y*z(x) + 5*b(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 200376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aatjjjjjtt. What is prob of sequence aat?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 737 - 737 + 8253*a**3.\nAnswer: 8253*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/(-198) - (115\/30 - (-1 - 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = 2*c - 4. Let y = 1337 + -1337. Solve c*d = 8 - y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q**5 - 17*q**4 + 87*q**3 - 127*q**2 - 88*q + 144 = 0. What is q?\nAnswer: -1, 1, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 252137 and 445.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (462\/7)\/(-6) + 6 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-8)\/y)**(-39)*y**21\/y**18 assuming y is positive.\nAnswer: y**354","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -306, -834, -1706, -2916, -4458, -6326, -8514, -11016?\n\"Answer: a**3 - 178*a**2 - a - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 - -3. Let n be ((-16)\/24)\/(8\/3). Which is the second smallest value?  (a) n  (b) -3\/7  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 12 - ((2 - 1) + -1). Suppose h = -m + 5*m. Let s(w) = w**3 - 4*w**2 + 3*w + 2. Let l be s(m). Solve -5*j + 25 = 4*u, l*j - 4*u - 4 = -22 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00007706003 to 6 decimal places.\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*i + 242 = -148. Suppose -i*n = -20*n + 14605. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from amhhahboaagbmgaaaaaa. Give prob of sequence gm.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -33, -153665, 1, 19.\nAnswer: -153665, -33, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 2 j, and 1 c when four letters picked without replacement from {c: 1, y: 1, w: 1, j: 4, v: 1, q: 5}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1746, -1741, -1732, -1719, -1702?\nAnswer: -1681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tat when three letters picked without replacement from togaoostsaza.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4 - -1)\/(8 - 5). Is 2 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from khkhhhhhdkkhhkxh.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 3*z**2 - z - 2. Let f(n) = 3*n**2 - n - 1. What is 5*f(j) - 6*s(j)?\nAnswer: -3*j**2 + j + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Do 34 and 2332.76 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (3 + (-85)\/(-25))*5\/2. Solve -y = -a - 3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**3 + 59971*h**2 - 1259832*h.\nAnswer: h*(h - 21)*(h + 59992)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r - 3*m - 33650, 39*r - 13469 = 37*r + 3*m. List the prime factors of r.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.496*-374\nAnswer: -185.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 13 = 3*q - 14, -2*f = q - 11. Let w be -4*q*(-4)\/5. Suppose 3*j - 7*j = 2*i - w, -4*j + 26 = 3*i. Calculate the least common multiple of 7 and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6688285 rounded to two dps?\nAnswer: 0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 4869706 > -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 70*c**3 + 61*c**3 - 5*c**2 - 122*c**3 + (-2*c**2 - 5 + 5)*(0*c + 7*c - c).\nAnswer: -3*c**3 - 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 220\/160*8*-1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 + (-33 - (2 + -29)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 2*q - 2*q = -12, 2*q = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 80 - 76. Suppose -51 = z*l - 71. Solve 0 = t - 3*m + 11, 2*t + l = -3*t + 5*m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13995?\nAnswer: 3, 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -35485, -37547, -40983, -45793, -51977, -59535?\nAnswer: -68467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -230 (base 5) to base 4\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-1)\/3)\/1*-2. Let t = -610 + 609.93. What is the closest to w in 2, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 1356672 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y + 2. Suppose -n - 419 = 4*s, 3*s - 4*n = -s - 404. Let r be (99\/4)\/(39\/s). Let o be 4\/(-22) + (-342)\/r. Give d(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = 2*v + 2*j - 27, 0 = 4*v + 3*j - 57. Let i = 91 - v. Let m = 124 - i. Calculate the remainder when m is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4643\/812 + 3\/812. Let o be (-331)\/(-15*(-4)\/(-4)). Let i = o + -863\/30. Calculate the common denominator of i and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 k, and 1 u when three letters picked without replacement from {z: 1, r: 1, x: 1, t: 2, u: 1, k: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve p - 5*p = -12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 72*m**2 - 6*m**4 + 73*m**3 - 70*m**3 + 4*m**4 wrt m.\nAnswer: -48*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*((-12)\/42 + (-20)\/(-21)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*z + 98*z + 552 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 + -896.\nAnswer: -896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 12537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - -12. Suppose 3*f - z = 30. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13504 bigger than 13504?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 580, -624, -3610, -8378, -14928, -23260, -33374?\n\"Answer: -891*a**2 + 1469*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is eb38d5 (base 15) in base 5?\nAnswer: 10331402000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**1\/i)\/i**(-5\/2))\/(i**(-9)\/i**(4\/9)) assuming i is positive.\nAnswer: i**(215\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 less than 40885311045?\nAnswer: 40885311045.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -292104 + 206809675\/708. What is the common denominator of i and -109\/708?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.9 - 0.89. What is the second biggest value in k, -2, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -4516561 and 0.31?\nAnswer: 4516561.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 37 - (-4 - (4 + -7)). Let w = -31 + j. Suppose 416 = q + w*q. What is the remainder when q is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 51513 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-1\/20)*(f*f\/(f*((f**(-6)\/f)\/f)\/f*f))\/f*f*f**(-1\/6)*f*f\/(f*f**(-4)) assuming f is positive.\nAnswer: f**(827\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(72) + 1 + -5 + sqrt(72)*1 + 0.\nAnswer: -3 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 134*d = -19*d - 1165220. What is the thousands digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 30 + (-8)\/(6 - 10) and 20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -315 + 329. Which is bigger: t or 11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(-27) + (2 - (-38)\/(-9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + 1. Let j(o) = -o**3 + 3*o + 1. Let d be j(-2). Let a be 6\/(-16) + 1488\/(-128) + 22 + -5. Solve p = d*f - a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22344458 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1015351781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4056770488 rounded to two dps?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -4*n - 22. Let l(a) = 2*a + 11. Let c(j) = -2*h(j) - 5*l(j). What is c(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f**2 + 2600412*f + 563511880812 = 0 for f.\nAnswer: -433402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**3 + 18*w**2 - 119*w - 1576. Give d(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4218212*a**6 + a**3*r**3 + 20*a**2*r**3 - 14576*a**2 + 3 wrt a?\nAnswer: -506185440*a**3 + 6*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a millisecond in nanoseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**3 + 2*w**2 - 16*w + 8. Let v be l(3). Solve 9*q + u = v*q + 5, -4 = q - 5*u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n + 8, -n + 2 - 8 = -4*h. Suppose -1843*y - 3 = -1846*y. Solve -5*p - 5*r = -30, h*p = r + 8 + y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14 + -6. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -17.36 in -1\/11, -2\/17, 0?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.06 and 368.\nAnswer: 367.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o - 5. Let l be d(0). Let w(i) = -6*i - 7. Give w(l).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1965 and 1179.\nAnswer: 5895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000218 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**3 + 23*d**2 - 5*d + 34. Let i be p(21). Suppose i - 276 = b. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1144 - 2347\/2. Find the common denominator of 53\/8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from ecigielcccciccigci.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19, 3, -6, 0 in descending order.\nAnswer: 3, 0, -6, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -3*k - 2751, 3*q + 5*k = k + 2716. Calculate the greatest common divisor of q and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -1 + (-1 - (-2 - 2)) - (895 + -777).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 248 (base 10) to base 12.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - p + 20 = l, 10 = l + 5*p. Suppose 0 = 12*q - 7*q - l. Suppose -q*c + m = -33, 3*c - 32 = 2*m + 4. Solve -x = 4*x + c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32878?\nAnswer: 2, 17, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1034 a factor of 7398777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 7738.\nAnswer: 1\/3869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 68098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.2 + 0.15. Let o = 99347 - 99347.050007. Let n = q - o. What is n rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -408*s**2 + 7*s + 694?\nAnswer: -816*s + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -163\/4500 and 8\/99.\nAnswer: 49500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -17879566.63 to the nearest one hundred thousand.\nAnswer: -17900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 7, 152, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, -8.8, 6\/31, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -4188, -8300, -12412, -16524?\n\"Answer: -4112*l - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 6263\/6840?\nAnswer: 6263\/6840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -4*i**2 - 51*i + 59. Determine f(-12).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((2 + 5*-3*sqrt(208))**2 - -5*(sqrt(208) + 3)**2*5)*3.\nAnswer: -940122 - 6480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 + 4856?\nAnswer: 4857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**3 - 5*y**2 + 6*y - 6. What is t(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3212730 and 466017.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.2, -0.2, 0.09?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 27*g. Let p(l) = 4*l**2 + l + 1842. What is p(o(b))?\nAnswer: 2916*b**2 + 27*b + 1842","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -38, -150, -352, -650, -1050, -1558, -2180, -2922?\nAnswer: -3790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = 5*t + 29, 4*t - 2*w + 14 = 4. Which is the closest to 2\/3?  (a) t  (b) 0.05  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 17 = 4*s, 0 = -14*s + 10*s - 2*d + 18. Suppose s*h = 17*h - 2412. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u - 162 = -5*w - 157, -4*u = -w - 14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3075888.\nAnswer: 2, 3, 64081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 1 + 1)*(-1 + 5 - 3) + 5 - 6 - 5)*(q - 4 + 4).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-4*-3*sqrt(168)\/sqrt(4))\/((sqrt(108)\/(sqrt(144) + sqrt(9)) - sqrt(12) - sqrt(12))\/(sqrt(2) - (sqrt(24) + sqrt(600))\/sqrt(12))).\nAnswer: -100*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.48 + -2.4. Let p = o + -2.08. Which is the third biggest value?  (a) p  (b) 1\/13  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -136*v - 13051. Let x be t(-96). Which is the nearest to -2\/3?  (a) 2\/7  (b) 589  (c) 0.5  (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.680224ml to litres.\nAnswer: 0.005680224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 4 - 16)*(-z - 5*z + 3*z)*(2 + 0 - 4).\nAnswer: -66*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 21035253 (base 6) to base 9\nAnswer: 1131856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -30459104, -30459098, -30459092, -30459086, -30459080?\n\"Answer: 6*r - 30459110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*q**2 + 4*q - 2*q**2 + 3*q**2 - 757*q.\nAnswer: q**2 - 753*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = -5*d + 315, -3*f - 2*d + 189 = -4*d. Suppose f = 4*w - w. Let v = w + -18. Calculate the greatest common factor of 33 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the third derivative of n**4\/6 + n**3\/6 + 20*n**2. Give t(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7477*x + 7481*x = 2*h + 74, -2*x + 136 = -4*h for h.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 5*y + 4*y**3 - 3*y**3 + 15 - 11 + 5*y**2. What is k(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(539) + -1 + -5 - (5 + 0 + sqrt(11))*-2)**2.\nAnswer: 72*sqrt(11) + 907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 292 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes after 5:34 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*f**3 - 94 + 9442*f**4 + 4*f**2 - 9444*f**4 - 3*f**2 to z + k*f**4 + u*f**2 + g*f + y*f**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1, 6, -1, -4 in increasing order.\nAnswer: -4, -1, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 + 11 - (1 - 9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 4*n**2 + 3*n + 11. Let o be z(-6). Let x(j) = -12*j + 10. Let f be x(-6). Let l = o - f. List the prime factors of l.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 362 + 61 = 0. List the prime factors of b.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -147*o - 154. Let t(r) = 89*r + 75. Let z(x) = -3*j(x) - 5*t(x). Let d(y) = 10*y**2. Calculate d(z(h)).\nAnswer: 160*h**2 - 6960*h + 75690","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f\/(f*f**9)*f*f**(-2\/15)*f**(-7)*f*f**(-9) assuming f is positive.\nAnswer: f**(-347\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + 11001020?\nAnswer: 11001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -110788, -221574, -332360?\n\"Answer: -110786*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40 + 112 - 2*g + 3*g.\nAnswer: g + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*f**4\/7 - 4275696*f**3\/7 + 3046933656420*f**2\/7 - 723769636364904800*f\/7 + 2171281486807250250\/7 = 0. Calculate f.\nAnswer: 3, 712615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6074\/5 + -1214. Factor i*l + 1\/5*l**2 + 3\/5.\nAnswer: (l + 1)*(l + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 times 9519?\nAnswer: 76152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5804*h - 960*h**3 - 2934 - 5804*h wrt h.\nAnswer: -2880*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 151939, 303950, 455961, 607972, 759983, 911994?\n\"Answer: 152011*l - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.9  (b) -0.2  (c) 5\/3  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 - -10. Let s = 66 - 74. Let f = s + q. Is f at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*c + 5*c + c - 3*c + 3*c - 3*c + (-1 + 0 - 1)*(-3*c - 4*c + 4*c) in the form u + n*c and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28\/(-16)*(-20)\/(-84)*6.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 92 and 6463?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1993043*s**5 - 1645494*s**2 wrt s?\nAnswer: -119582580*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 647.8501694 to two dps.\nAnswer: 647.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 14617 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 103 (base 5) to base 3.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + k + 21586 + 6819 = 0, -11362 = -2*c + k. List the prime factors of c.\nAnswer: 13, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -122 - 101?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -69 divided by 12?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/3*b**4 + 0 + 0*b**3 + 0*b - 2\/3*b**2.\nAnswer: 2*b**2*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 take away 5.3994600388?\nAnswer: -5.8994600388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 351 divide 192069121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d\/d**0*d)*d**(-1\/10)*d)\/(d**(-3\/7)*d**(-12)*d) assuming d is positive.\nAnswer: d**(793\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (175*a - 5211 + 5211)*(2 + 4 - 5)*(6 - 1 - 4).\nAnswer: 175*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c**5 + 14901*c**4 - 104076*c**3 - 416580*c**2 - 297600*c = 0 for c.\nAnswer: -2, -1, 0, 10, 4960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/57*-209*75\/(-11)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2149 a factor of 696793909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 14 = 14. Solve h = 1, 0*h - a = -b - 3*h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 - 26284595?\nAnswer: -26284597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26605.14 months to decades.\nAnswer: 221.7095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -1\/3  (b) -1  (c) 2  (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11 - 172\/16)\/(38\/24 - 1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2443 divided by 2474\nAnswer: 2443\/2474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 14?  (a) -3  (b) -1  (c) -1\/488\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is (0 - (-14)\/2) + (-17 - -37728) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -187.116 + -4.\nAnswer: -191.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13558711 = 83*a - 48760920. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 76.3 + 309.\nAnswer: 385.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -0*o + 3*j + 119, -4*j + 54 = 2*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 1370  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68 is divided by 30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 10\/15*(2 + 1). Suppose -1 - 3 = -m*n. Suppose n*y + 2*y + 6160000 = 0. What is y rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6918 a factor of 1489491583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 2544.736 millimeters?\nAnswer: 0.002544736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -116 - -120. Is h smaller than 11\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 + 3283487?\nAnswer: 3283484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 2 = 5*k + 10, -i = -2*k + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 435307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -30.01 minus -0.0186324?\nAnswer: -29.9913676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -121.\nAnswer: -3\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gcy when three letters picked without replacement from yshyccchggccs.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 29\/24 + -7\/8. Which is the nearest to -1?  (a) 3  (b) -2  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1337548 divided by 4?\nAnswer: -334387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b + 3 = -33. Let g be 15 + -15*b\/18. Solve 0 = 3*f + 2*f + g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 408 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, i: 2, y: 2, m: 1, a: 1, b: 7}. Give prob of sequence bmi.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -0.4, 4, -0.168, -4 in increasing order.\nAnswer: -4, -2, -0.4, -0.168, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -688, -5318, -17968, -42652, -83384?\n\"Answer: -669*m**3 + 4*m**2 + 41*m - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 2*y - 1. Let m(b) = -2*b. What is 6*m(d) - 2*n(d)?\nAnswer: -16*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -2*f + 3*p - 85, -5*f + 4*p - 170 = 0. Let k be f\/4*44\/33. Let s = -5 - k. What is the nearest to 0.1 in 0.4, -5, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 100758 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/228 and -113\/960.\nAnswer: 18240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 33021 (base 8) in base 16?\nAnswer: 3611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (228\/5472)\/((-8)\/(-504)).\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 2*u - 6. Let q be o(6). Let x be 4 + (2 + -8 - -2). Let g(r) = 0*r - q*r**2 + 5*r**2 + x*r**2 - r - 2. Calculate g(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21.3 * 203\nAnswer: 4323.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate j**3*v**2 - 3972*j**3 + 96*j*v**2 + j*v + j wrt v.\nAnswer: 2*j**3*v + 192*j*v + j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 - 1102130?\nAnswer: -1102133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the second derivative of 0 + 1\/15*n**6 + 18*n**2 - 55\/3*n**3 + 19\/2*n**4 - 21\/10*n**5 + 82*n. Determine y so that t(y) = 0.\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 952.0121 kilometers to meters.\nAnswer: 952012.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(20)\/(sqrt(490) + sqrt(490) + -1*sqrt(490) + sqrt(490)))**2.\nAnswer: 8\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -651 + 649.656. Let x = 84.545611 - -0.010389. Let t = w - x. What is t rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u - 4. Let l be h(3). Let w be (-1 + 1)\/(l + 2). Suppose -2*d + 5*d - 57 = w. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 55 and 0.0043478.\nAnswer: 55.0043478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -526 divided by 1.\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -476 = -3*b + 4*x, -4*b - 31 = 2*x - 651. Suppose -r + 1131 = 4*a, 2*r - r - 282 = -a. Let o = a - b. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from iriiriiiiiirqiii.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -11*m + 30 - 30 - m - 4*m + 4*m + (1 - 4 + 4)*(2*m - 5*m + 5*m).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4.08 + -0.08. Let q be (-12)\/10*10\/(-2). Let c be (3 - 11)*1\/q. What is the third biggest value in -0.5, a, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -17.3 + 17. Which is the second smallest value?  (a) 1  (b) x  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -161669\/249392 - -41\/1417. What is the common denominator of s and 101\/176?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 10447, 10450, 10455, 10462, 10471, 10482, 10495?\n\"Answer: a**2 + 10446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -30*l - 92*l - 81*l + 2233 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3 + 501\/18 - -2. Let r = -2197\/66 + f. Let x = -31\/44 - r. Which is the closest to 0.1?  (a) x  (b) 2\/5  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*c**3 + c**3 + 11*c**3 + 5*c**3 - c**3 - 38*c**3.\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (5\/(-3) + 2)*51\/(-68)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zm when two letters picked without replacement from {z: 3, e: 6, m: 2, l: 3, g: 2}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 44399\/76 - 2337\/4. Which is the closest to h?  (a) -5  (b) -4  (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t - 37. What is y(18)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*z**2 - 69*z + 66.\nAnswer: 3*(z - 22)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1017131217 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the first derivative of -5*c**4\/12 - c**3\/6 - 3*c**2\/2 + 2. Let w(b) be the second derivative of f(b). Is w(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*y - 3*y + 8*y**2 - 9*y - 18*y to the form x + d*y + z*y**2 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 53 - -30. Let t = 88 - u. Solve 8 = -4*p + s - t, -5*s = -2*p + 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1354771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the third derivative of -4*v**2 + 3\/2*v**4 + 0*v + 7\/20*v**5 - 2*v**3 + 0. Factor q(i).\nAnswer: 3*(i + 2)*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38070 rounded to the nearest 100?\nAnswer: 38100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6187 + -6187.01767. Round s to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 414 is divided by 47?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 5\/6  (b) 57\/22  (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u\/u**(8\/7)*u\/((u*(u\/(u**(-15\/7)\/u))\/u)\/u) assuming u is positive.\nAnswer: u**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50772.\nAnswer: 2, 3, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 9*n**3 + 996*n**2 + 5*n + 5. Let l(i) = 13*i**3 + 1495*i**2 + 7*i + 7. Calculate -5*l(y) + 7*p(y).\nAnswer: -2*y**3 - 503*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24445765 = -2*d - 6085765. Round d to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -69.55 + 35.55. Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0 + (-9)\/((-9)\/2). Let u = -3 + 6. Solve f + u = -g*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -27*b + 13771 + 1673. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z + 164 + 160 = 0. What is the greatest common divisor of 18 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 828 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1240\/741 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -7. Let y(u) = 10. Let x(k) = -3*v(k) - 2*y(k). Let a(q) = -q**2 - 6*q - 5. Let t(n) = -a(n) - 4*x(n). Give t(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p**5 - 53005*p**4 + 138420790*p**3 + 10897345210*p**2 + 205744211205*p - 216779924205 = 0 for p.\nAnswer: -39, 1, 5339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**3 - h**2 - 15*h + 37. What is the least common multiple of j(2) and 73?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 75.2705cm to micrometers.\nAnswer: 752705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -253155 (base 6) in base 14?\nAnswer: -8411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -555*j + 501*j + 2592 = 0. Solve 18*o + 6*o = -j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57776827.\nAnswer: 57776827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kiiikk. What is prob of picking 2 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 240 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1 times -0.55\nAnswer: -0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1441, -25 in descending order.\nAnswer: 1441, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the first derivative of u**3\/3 + 5*u**2\/2 - 14*u - 409. Determine n(-10).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171)\/sqrt(441) + sqrt(19))**2*1.\nAnswer: 1216\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/(-2)*(0 + 1). Suppose -2*w + w + 1 = 0. Let o be (2 - (-2 + 6))\/w. Is o at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*p**2\/2 + 186999981*p + 11656330964666787\/2.\nAnswer: 3*(p + 62333327)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the third derivative of -j**5\/30 - 2*j**4\/3 - 17*j**3\/6 - 896*j**2. Calculate l(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -119 - -122. Suppose y*h + 267 = -5*i, -3*i - 88 - 70 = 4*h. Let w be -4 + (-42)\/i + (-2)\/(-9). Which is the biggest value?  (a) w  (b) 1  (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-10128)\/(-112) + (3\/7)\/(-1). Let i = 78 + -135. Let f = n + i. Calculate the remainder when 64 is divided by f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 76 - 52. Calculate the highest common factor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -8*p**2 - 339*p + 7053. Let d = 214 - 234. Let n(r) = -52*r**2 - 2372*r + 49372. Let i(w) = d*v(w) + 3*n(w). Find z, given that i(z) = 0.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.087 - -44.913. Let y = 376.6 - 332. Let t = m - y. Which is the smallest value?  (a) 5  (b) t  (c) -1\/3  (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 2\/149, -461285 in ascending order.\nAnswer: -461285, -4, 2\/149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 312388669 by 2.\nAnswer: 312388669\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) - sqrt(3267) - (sqrt(3) + -4 + sqrt(12)))**2.\nAnswer: -280*sqrt(3) + 3691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -49 - -46. Let g = m - -50. Let i(k) = g + k - 91 + 44. Let o(p) = 2*p. Determine i(o(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -416803, -416802, -416799, -416794, -416787?\n\"Answer: r**2 - 2*r - 416802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**2 + 20*j + 44. Let g be r(-2). Factor 42\/11*n**3 - 2*n**2 + 10\/11*n**5 + g + 4\/11*n - 34\/11*n**4.\nAnswer: 2*n*(n - 1)**3*(5*n - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 243.2561 rounded to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c - 3*n + 2*n = -22, 0 = 4*c - 5*n - 35 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 3*w**3 - 15*w**2 + 5*w + 32. Is 8 a factor of f(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -2*w - 67, 3*w - w - 2*m = -60. Let p = w + 20. Let a = 33 + p. What is the highest common factor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000026813051 rounded to 6 decimal places?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 419363 divided by 12?\nAnswer: 419363\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1069 - -1179. Calculate the greatest common divisor of 198 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gkgk when four letters picked without replacement from skgsgkksvngggk?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -115*h**2*t**3*z - 20*h**2*t*z**2 - 5*h**2*t*z - 4*h*t**4*z**2 wrt t?\nAnswer: -690*h**2*t*z - 48*h*t**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -1 * -19.25\nAnswer: 19.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d - d - 2*d)*(d - 2*d + 2*d + (-2*d - 1 + 1)*(0 + 3 - 1) + 15 - 15 + 27*d + 27 + 2*d - 45 + 26).\nAnswer: -52*d**2 - 16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2520.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -8*n**2 + 4 + 0*n**2 - 5*n + 2*n**2 - n**3. Let g be s(-5). Suppose -2 - g = -2*q. Solve -2*o - 1 = q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 93174988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -3*o + 18. Suppose -o*x + 172 = 2*h - 0*h, h = -2*x + 87. Let s = h - 153\/2. Calculate the common denominator of s and 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1064*j - 1057*j = 448. Let x = 75 + j. Calculate the remainder when x is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1260 and 756?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 109292 is divided by 72?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 86 + -81. Suppose -2*i - 524 = -2*v, 709 = p*v + i - 583. List the prime factors of v.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.23, 0, -52\/9, -0.4, 1 in increasing order.\nAnswer: -52\/9, -0.4, -0.23, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x - 2471993*x**2 + 0*x - 36 + 27 + 2471994*x**2. Let c be (0 + 0)*1\/(-2). Let u be (-1)\/2*c - 0. Determine r(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -226, -95, 90, 329?\nAnswer: 622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/2*(556 + 3 + -3). Let g = r + -426. Let m = -482 + g. Is 51 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/161 and 67\/2419676.\nAnswer: 55652548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*r**5*s**2 - r**3 + 3*r**2*s**2 + 2*r*s**2 - 113*r*s - s**2 wrt r?\nAnswer: -60*r**3*s**2 - 6*r + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51924 is divided by 25961?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 2*v - 6. Let f be x(5). Let z(s) = 4*s + 5*s + f*s - 5 - 11*s. Determine z(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/(-60)*-3)\/(2\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 40021874 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*b + 20 - 75 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -100102 - -102001?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u + 5*x + 26, 2*u = 7*u - 5*x - 30. Solve -2*b - 4 - u = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 501032540 to the power of 1\/3, to the nearest integer?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 472720 and 2736.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) -4354545  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 4  (b) -8.29  (c) -1\/5  (d) -10\/19  (e) 0.4  (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from fsxoxxoxffffxfssfos?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 453215 (base 7) to base 12.\nAnswer: 3a618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 2*l - 5*l = 0, 3*v = 4*l. Which is the closest to v?  (a) -2  (b) 1  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1*3\/12*(10 + -9). What is the nearest to 1 in 1, 1\/2, p, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 26\/5 of a millennium?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(380)\/(sqrt(10)*1))\/sqrt(2).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*p**2 + 14*p**2 - 3*p**2.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the first derivative of -325*r**7\/7 + 278*r**3\/3 + 367. What is the third derivative of b(q) wrt q?\nAnswer: -39000*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -10*s + 59. Let j be i(6). What is the nearest to -1 in j, 0.2, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.0115 and -6015.5?\nAnswer: 69.17825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes after 12:26 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -14*j**6 + 2872556*j**4 + 4*j**2 + 31190013*j wrt j.\nAnswer: -1680*j**3 + 68941344*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -250 - -249.2. Let k = -618 + 1239\/2. Put t, k, 5, 3 in ascending order.\nAnswer: t, k, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eayvye. Give prob of sequence aey.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 10*j + 26. Suppose f = 2*f - 2. Let a = f - j. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/(-15) - 56\/(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 378782*z - 45832626. What is x(121)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/(-18))\/(238\/(-3213))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-84)\/6)\/(-7)*1*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*z = -21*z + 11709. Let o = z - 11711\/9. Let b = -184\/3 - -62. What is the third biggest value in -1, o, b, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-29)\/(-290))\/(14\/(-35))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 54564399 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.064, 1500, 0.007 in descending order.\nAnswer: 1500, 0.007, -0.064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is n in 473*n + 0*n**3 - 114*n**2 - 14 - 202 - 77*n + 9*n**3 = 0?\nAnswer: 2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -44 - -105. Suppose 0 = 2*h - 3*d - w, -2*h - d = 4 - 61. Is 29 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2*2)\/(48\/36).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 17856325*m**2. Let g(f) = 2*f. Determine g(d(r)).\nAnswer: 35712650*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-1*2\/20)\/(30635\/(-69625))\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1020.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 - -154422?\nAnswer: 154431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 divided by -258538?\nAnswer: -9\/129269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**2 + 4*f + 8. Let i(a) = 3*a**2 + 8*a + 17. Let z(x) = -2*i(x) + 5*r(x). Let v be z(5). Let h = 4 + 0. What is the smallest value in v, h, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -48302+-8\nAnswer: -48310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from rspzsssh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is q in q**3\/5 + 6*q**2\/5 - 19*q\/5 - 24\/5 = 0?\nAnswer: -8, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s*s**(-2)*s)*s)**(3\/14)*s**2\/(s**(4\/5)\/s*s) assuming s is positive.\nAnswer: s**(57\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jtt when three letters picked without replacement from {j: 2, t: 10}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -4*t**4 + 44*t**3 - 368*t - 320 = 0.\nAnswer: -2, -1, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22141667 is divided by 907?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -280 - -285. Suppose z*w = -2*w + 28. Solve 5 = -h - w*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-6))\/(((-247)\/(-39))\/19).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-10 + 10 - 3*y)*(-19 - 13 - 20) to the form m*y + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4389 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 13415178 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(-4\/5)*q)\/q**(3\/7))**(5\/4)*((q**(4\/7)*q)\/((q*q\/((q\/(q**6\/q))\/q)*q)\/q))**(-10\/7) assuming q is positive.\nAnswer: q**(1709\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/6, 2, -0.7, -2 in decreasing order.\nAnswer: 2, -1\/6, -0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4545654 to the power of 1\/2, to the nearest integer?\nAnswer: 2132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v - 25 = 5*g, -5*g - 5 = -4*v + v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4\/7 + -15\/14. Let b = -0.035 - 23.965. Let i = b - -19. What is the nearest to 1 in 3, x, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from vvvavvaa.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jcjcxjcccj. What is prob of sequence ccc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4056.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**5 - 123*m**4 + 135*m**3 + 363*m**2 - 624*m + 252.\nAnswer: -3*(m - 1)**3*(m + 2)*(m + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 5*k + 3*k = 0, 9 = -h + 5*k. Let l = h + 1. Suppose -r - 93 = -5*z + l*r, 0 = -z + r + 19. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 42758015?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 278003 is divided by 3473?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -847987 by -7.\nAnswer: 121141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 8665264.2 to the nearest 100000.\nAnswer: 8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 88364, 176880, 265402, 353930?\n\"Answer: 3*x**2 + 88507*x - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 46, 37, 38, 55, 94, 161, 262?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -61.822 times -88\nAnswer: 5440.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -2866526 rounded to the nearest 10000?\nAnswer: -2870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2131 (base 4) to base 9.\nAnswer: -184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the second derivative of -14 + 1\/8*x**4 + x + 1\/20*x**5 - x**2 + 1\/180*x**6 - 1\/9*x**3. Factor i(j).\nAnswer: (j - 1)*(j + 2)**2*(j + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + -5. Let l be 4\/((-3)\/30 - (2 - 2)). Let o = d - l. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1394.\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/(-3))\/((-12)\/(-1026) - 0). Let i = b + -54. What is the greatest common divisor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0865188447157 - 0.5?\nAnswer: -0.5865188447157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -14*((-3 - -4 - 2) + 0). What is the greatest common factor of 56 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**2 - 13*c + 3. Let t be j(-13). List the prime factors of (220\/8 - 2)*t*2.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 12229 or 12230?\nAnswer: 12229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12.24 - 12.239999737. What is h rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -339 >= -340?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, d: 1, r: 2}. What is prob of sequence rr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -2*h + 5, 0 = x + 4*x + 4*h - 7. Suppose a = -x*n - 3*a + 24, 3*n = 5*a - 3. Calculate the remainder when 6 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9689239831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(224)\/(sqrt(196) + 1*sqrt(196)))\/(2*sqrt(72) - sqrt(512)\/sqrt(4)).\nAnswer: sqrt(7)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -4*u. Let d be s(7). Let l = d - -49. Suppose l = -5*q + 56. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 6*y. Let t be (-15)\/(-70)*4 - (-5)\/35. Let k(u) = -u**2 - u. Let o(n) = 282*n**2 + 188*n. Let q(h) = t*o(h) + 188*k(h). What is m(q(w))?\nAnswer: 564*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14375, -28677, -42949, -57203, -71451, -85705, -99977?\nAnswer: -114279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.7 * 0.023\nAnswer: 0.0161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 21370 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(3 - 1))\/(20\/(-32))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 48*t - 538. Let r be f(13). Let w be (-43)\/(-1)*(-30)\/(-6). Calculate the greatest common factor of r and w.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l + 10*l = 640. Let a = -162 + 190. Calculate the smallest common multiple of a and l.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -12\/5, -4482 in ascending order.\nAnswer: -4482, -12\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5 + -17. Let s = b - -17. Suppose 5*w - 2*i = -5*i + 64, -2*w = -s*i - 38. Calculate the remainder when 40 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m - 4*n + 55, 5*n = -2*m - 0*m + 25. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 4*o = 176 + 30, 4*o + 982 = 5*z. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-2\/17))**50*(w**(-4\/3)*w)**(7\/4) assuming w is positive.\nAnswer: w**(-1319\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from psg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -781, -1662, -2645, -3724, -4893, -6146?\n\"Answer: v**3 - 57*v**2 - 717*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -68, -4, -2, 848, 41.\nAnswer: -68, -4, -2, 41, 848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 4*n = 4*k + 4, -3*k = 2*n + 3. Suppose -2*o + 231 = 5*j, n = 5*o - j + 4*j - 568. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -29\/5 + 193\/35. What is the closest to u in 0.2, 0.4, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-135)\/(-75))\/(3\/10). Suppose 8*q = -o + 6. Suppose -2*j + 6 = q, 5*h - 1268 = -0*h - j. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002683221 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((-1*sqrt(152)*3 + sqrt(152))\/(sqrt(80)\/(sqrt(60)\/sqrt(6))) + 4))**2.\nAnswer: -144*sqrt(19) + 828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 149232024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/(-2)*(-30)\/(-100))\/(42\/((-7728)\/(-46)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Is 1579128601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 85181, 85180, 85179, 85178?\nAnswer: 85177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times -16522948?\nAnswer: -66091792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (12\/28)\/((-36)\/(-756))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((sqrt(104)*1)\/sqrt(8) + sqrt(13)) - (sqrt(234)*2 - sqrt(234))\/sqrt(2))**2.\nAnswer: 2197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -4*n - 3*u - 86, 0 = 5*u - 25. What is the units digit of (n\/18)\/(4\/(-150))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -5*o**2 - 872*o - 2. Let j(d) = 4*d**2 + 654*d + 2. Let q(h) = 4*j(h) + 3*m(h). Determine q(-8).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 10) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y, 1 k, and 1 s when three letters picked without replacement from {s: 7, t: 1, y: 1, k: 9}.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c = 20*c - 45 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 17209 or 499086\/29?\nAnswer: 17209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:33 PM and 2:09 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**3 + 84*a**2 - 346*a + 826. Determine i(-88).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 800.59626 - 827.5962558. Let k = -26.63 - 0.37. Let v = i - k. What is v rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 0, 0 = -5*a - 5*u - 4 + 44. Let z = a - 5. Let n = z - 0. Solve 0*w + 4*w = -n*r + 23, 4*w = 2*r + 18 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 4*r = 2*l + 16, 20 = 4*l - 4*r. Calculate the least common multiple of 796 and l.\nAnswer: 2388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12202233 (base 5) in base 14?\nAnswer: -30379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*y - 8*y - 2 - y**2 - 7*y to the form a*y + q + x*y**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*o - 14*o**2 + 12*o**2 - 83 + 2295*o**4 + 1104*o**4 - 39 + 44 wrt o.\nAnswer: 81576*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2258906 divided by 7982?\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 137904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2064702207?\nAnswer: 3, 17, 31, 1305947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -19\/3?  (a) -2\/7  (b) 4  (c) 1\/2  (d) -4\/9  (e) -0.3  (f) -0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*sqrt(96))\/sqrt(8))\/(1*sqrt(100)) + 4*(-3 + sqrt(300))*1)**2 + 3.\nAnswer: -4824*sqrt(3)\/5 + 124878\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 27953786 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15 + 15 + 3*t)*((-3*t + 0*t + t)*(-5 + 5 + t) - 1935*t + 27*t**2 + 1935*t).\nAnswer: 75*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -4*1\/(-20)*5. Let a(p) = 323*p**2 + 21*p - 17. Let x(d) = -81*d**2 - 5*d + 4. Let u(t) = -2*a(t) - 9*x(t). Does 10 divide u(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.143 + 0.057. Let v = -0.1 - u. What is the third biggest value in v, 0.02, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (28\/(-21))\/((-1)\/(-9))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 4*x + m = 336, -3*x = -2*m - 998. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 29 - 20. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**0)**(-1\/24)*(v**(1\/3)\/v)**(1\/29))\/(v**9\/v**(2\/5)*(v**(-2))**(2\/21)) assuming v is positive.\nAnswer: v**(-8559\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1001111000011000 (base 2) to base 6.\nAnswer: 511212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 247*h**3*y**3 - 160*h**3*y + 2*h**3 + 2*h**2*y**4 + 2*h**2*y**2 + 7*h*y**2 + 6*y**3 wrt y?\nAnswer: 1482*h**3 + 48*h**2*y + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 minus -94088198?\nAnswer: 94088194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.23165 minutes in milliseconds?\nAnswer: 313899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -54713967 divided by 4469.\nAnswer: -12243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -9*l. Let i be h(-2). Suppose -w = -3*m + i, 2*w = -m + 4*m - 18. Suppose j = m*j - 1355. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**2 - 8*a + 5. Let j(d) be the first derivative of d**2\/2 - d - 2. Let z(o) = -6*j(o) - l(o). Factor z(b).\nAnswer: (b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 8) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8792.762 days to microseconds.\nAnswer: 759694636800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/520 and 47\/153574920.\nAnswer: 1996473960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 803902 smaller than -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.0490599 in 5, -16, -1, -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 893718297?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, y: 1, n: 2}. What is prob of picking 2 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x = -x + l - 4, -2*l + 8 = 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 2 r when three letters picked without replacement from {j: 3, r: 13, v: 3}.\nAnswer: 78\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 7*y**2 + 2*y - 1. Let c be t(1). Let u be (3\/(-5))\/(c\/(-40)). Find the second derivative of -n**2 - 6*n**2 + u*n**2 + 3*n**2 + 6*n wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11*b*t**2*w + 5674518*b*t*w**2 - 2*b*t - 2*t**3*w**2 - 28*t**3 - 1593*t**2*w + 4*t**2 - 2*w**2 wrt w.\nAnswer: 11349036*b*t - 4*t**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**3 + 16*p**2 - 714*p + 289. Let d be b(-36). Solve 3*t - d + 94 = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/6*42\/(-28).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/((j\/(j\/(j**(-2)*j)*j))\/j)*j**(-13\/5) assuming j is positive.\nAnswer: j**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 16*l. Let q be x(1). Let d = 65 - 76. Let k = q + d. Solve 4*g + 10 = -k*r, r = -g - 3*r - 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 22975, 45950, 68925, 91900?\nAnswer: 114875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 5773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 - -13. Let x(j) = -8*j - 6. Let o(v) = v**2 - 2*v - 1. Let m be o(-1). Let t(f) = -f + m - 1 - 2 + 0*f. Give l*t(u) - 2*x(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*q - 2*q + 3*q**2)*(-4*q - 2*q + 4*q + (2 + 1 - 1)*(5*q + 4 - 4)) - q**3 - q + q as z*q**3 + x*q**2 + a*q + o and give z.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sum -77868.99 and -0.22726.\nAnswer: -77869.21726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 44, 42, 44, 56, 84, 134, 212?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2 - -1)\/(4\/(-16)). Which is smaller: 14\/5 or a?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -228 + 229. Let p = 83 + -80. Suppose i + 3*i = 12. Which is the closest to i?  (a) p  (b) 1\/2  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -81, 0, 247, 703 in decreasing order.\nAnswer: 703, 247, 0, -2, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.538 + -1.531022. What is w rounded to four decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 7*t = -2*w - 10, -4*t = -w - 11. Let z be 10\/4 + -2 - 0. Let s = -0.45 + -0.05. Which is the closest to z?  (a) t  (b) -0.1  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 34*y**2 - 1903*y - 63. Calculate m(56).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14 + 43\/3. Which is the nearest to 0?  (a) u  (b) -2\/7  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 7, n: 2, s: 2, h: 1, c: 3, i: 3}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 403509469 is divided by 4186.\nAnswer: 4185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 661 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 21 = 4*r + 58, -4*r = 16. Solve 2*c + 6 = 4*h - 2*h, -4*c - h = f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**2 + 4*a + 16. What is o(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q = -122 - 10. Let z = -15 - -21. What is the remainder when q is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**3\/3 - 73*q**2\/6 + 188*q\/3 - 305\/6.\nAnswer: (q - 5)*(q - 1)*(2*q - 61)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes before 11:20 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 10, y: 2, w: 3, m: 3}. Give prob of sequence wnyy.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 47*424\nAnswer: 19928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 6, 4, 2, 0, -2, -4?\n\"Answer: -2*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, o: 2, x: 2, i: 5, q: 1, p: 2}. What is prob of picking 2 h?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -125.2860547 rounded to two dps?\nAnswer: -125.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -284102, -284087, -284048, -283973, -283850, -283667?\nAnswer: -283412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 5*i**2 + 3*i + 5. Suppose 0 = 13*l - 10*l - 12. Let d(x) = 117 - 59 - 62 - l*x**2 - 2*x. Calculate 4*d(b) + 3*o(b).\nAnswer: -b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(-2\/9)*v\/v**(-2\/37))\/(v**3)**(1\/10) assuming v is positive.\nAnswer: v**(6581\/3330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t - 58 = -50 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -111\/29, -0.6, -29?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lkllrrirl. Give prob of sequence ii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let a = 28 + 87. Calculate the remainder when a is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 0, i - 3*i - 46 = 5*h. Let j = 23 + i. Suppose j = 5*n - 5*l - 125, 4*n = 5*n - 5*l - 29. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -11*n - 2. Let j(t) = 16*t + 3. Let a(u) = 7*i(u) + 5*j(u). Suppose 6 = -4*f + 22. Let l be (-5)\/3 - f\/12. Give a(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (3365 - 39)\/((-2)\/(-4))?\nAnswer: 2, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) -41  (c) 2\/5  (d) -5174  (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(6\/19)*b)**(10\/11)*(b**40\/b*b)\/(b*(b\/(b**12\/b))\/b*b) assuming b is positive.\nAnswer: b**(10491\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-1*-2*sqrt(252))**2 + 3 + 5 + (sqrt(252)*2*-6 + 4)**2.\nAnswer: -576*sqrt(7) + 37317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62\/5*i**4 + 0 - 4\/5*i + 2*i**2 + 22\/5*i**5 + 54\/5*i**3 = 0 for i.\nAnswer: -1, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 + 594\/294)\/((26\/7)\/13).\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 2*(3*sqrt(128) + -3 - (3 + sqrt(128)*1)**2).\nAnswer: -283 - 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 13\/4 - 4\/2. Let v = -9950 + 9947. Let u = -0.08 + 5.08. What is the biggest value in 1\/3, v, s, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (42\/(-56))\/(4 + 58\/(-16)). Let r(v) = 3*v**2 + 8*v. What is r(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-v - v - v)*(2 + 0 - 3) - 6*v + 0*v + 0*v)*(4*v**3 - 3*v**3 - 3*v**3).\nAnswer: 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 19072231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 28 - 28 + 38*h**2 - 2 + 2 - 2*h**2 + (-2*h**2 + h**2 + 2*h**2)*(-5 + 3 + 0) as u*h + f + q*h**2 and give q.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 84\/(-8)*6080\/1064. Put j, -2, -1, -18 in descending order.\nAnswer: -1, -2, -18, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = f - 2*t, -2*t + 10 = 2*f + t. Solve f*i + 3*i = -5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-4*q + 3*q + 0*q)*(4*q - 2*q - q + (q + 0*q + q)*(-5 + 1 + 6)) + 23*q**2 + 365 - 365)*(-2 + 3 - 3) to the form x*q + i*q**2 + r and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the third derivative of 0*v**6 + 0*v + 0 + 1\/112*v**8 - 2*v**2 + 1\/70*v**7 + 0*v**3 + 0*v**5 + 0*v**4. Solve b(u) = 0 for u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*m**4*s**2 + 4247*m**3*s**3 - 3*m**2*s - 1598*s**3 wrt m.\nAnswer: -48*m*s**2 + 25482*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2276, 4478, 6610, 8672?\nAnswer: 10664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 3*d**2 + 53*d + 36. Let j be k(-17). Let w(c) be the second derivative of -2*c - 1\/3*c**3 + 0 + 0*c**j. Let b(f) = 2*f. Determine b(w(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(-11) + 114\/22. Suppose -3*l - 34 = -n*l - 2*d, 81 = 5*l + 4*d. Solve -4*v + 14 = 4*z + 6, -z = -2*v + l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9544 != -34.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-8)\/6)\/(8\/12). Let v = -4 - -8. What is the lowest common multiple of (-1)\/(-2)*(v - l) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -3*d + 73. Let k be b(23). Calculate the greatest common divisor of k and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2 - 1\/(-2)*2. Suppose 0 = -s*a + 2*a + 8. What is the least common multiple of 7 and a?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(-3))**(-27\/2)\/(f\/(f\/(f*f\/(f**(-1\/8)*f)*f))*f*f\/f**(-7)) assuming f is positive.\nAnswer: f**(127\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (164 - 86) + -135 - 24.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 98605838?\nAnswer: 2, 577, 85447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (6\/172)\/(316\/(-474)). Is z != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(3\/22))**(-3) assuming q is positive.\nAnswer: q**(-75\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-5)\/((8\/20)\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 69*f**4 + 2*f**3 - 73*f**4 + 52*f**2 - 9*f**2 + f + 0*f**3 - 86 - 38*f**2 to w*f**3 + o*f**4 + z*f**2 + i + s*f and give i.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*l**3 + 85052*l**2 + 510420*l + 765684 = 0. Calculate l.\nAnswer: -3, 21269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -137\/1934802 and 115\/78.\nAnswer: 25152426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -104, -112, -106, -80, -28, 56?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/6 - (-96)\/(-18). Let z(j) = j**3 + 8*j**2 + 10*j + 5. List the prime factors of z(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*p + 129*p + 6*p**2 - 2*p**2.\nAnswer: 4*p**2 + 135*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, u: 1, g: 5, n: 1}. Give prob of sequence nu.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00417740636 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -u**5 + 5*u**5 - 2*u**5 + (-u**3 + 2*u**3 + 3*u**3)*(-2*u**2 + 3*u**2 - 4*u**2).\nAnswer: -10*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/3 - (-20)\/6. Let z(q) = 6*q + 3. Let y(c) = -15*c - 12. Let k(p) = -p + 2. Let w(o) = -2*k(o) - y(o). Calculate s*w(x) - 8*z(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 9, -0.038 in decreasing order.\nAnswer: 9, 1, -0.038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (-5 + sqrt(19)*-3 + sqrt(475) + 0)*1)**2*5.\nAnswer: -80*sqrt(19) + 460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*m + 37752 = 54*m. What are the prime factors of m?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1552177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 28 + -75. Let c = -42 - b. Is 6 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*v + 6*v + 9*v to the form y + g*v and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1003*p = 3*o + 1008*p + 27, 22 = -4*o - 2*p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -71 + 274. Does 29 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 37\/2  (b) -2  (c) -1.4  (d) -2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*j = -123 - 57. Suppose 9 = j*i - 9. Solve -m + 5*g - i = -4*m, m - 4*g = 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 616028 is divided by 276.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 140\/(-3) + -3*(-5)\/(-45). Let c = p + 8. What is c rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 0, 92, 274, 552, 932, 1420, 2022, 2744?\nAnswer: 3592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -d - 2*d + 29, -3*k = 4*d - 47. Suppose 2*b + 5*y = 6*y + 34, -y = b - 23. Calculate the remainder when b is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101011001110 - 1?\nAnswer: 101011001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 120 - 41. Let p = 142.555 - 63.6. Let j = l - p. What is j rounded to three decimal places?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 4, k: 2, j: 3, s: 1}. What is prob of picking 3 m and 1 s?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 46948429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, -720.82, 0.1, 86 in decreasing order.\nAnswer: 86, 0.1, -0.1, -720.82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 6, u: 7}. What is prob of sequence uu?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:20 AM and 7:27 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -4*f**3 + 4*f**2 + 3. Let x(d) = d**3 + d**2 + 1. Let q(b) = -r(b) + 4*x(b). Let u(v) = v**3 - 1. Determine -q(o) - 2*u(o).\nAnswer: -10*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -840965 - 2294522\nAnswer: -3135487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6819 is divided by 74.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p - 2. Let d be u(-5). Suppose 2*h - 4*h = d*k + 11, 0 = 5*h - 2*k - 20. What is the second derivative of 2*a**4 - h*a + 3*a - 4*a**4 wrt a?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express s + 415509*s**2 - 1 - 415509*s**2 - 863*s**3 in the form c*s**3 + q*s + m*s**2 + g and give c.\nAnswer: -863","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3214*z - 6233 with respect to z.\nAnswer: 3214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 139438?\nAnswer: 2, 13, 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 = -l - 2*l. Let p = l - 10. What is the units digit of (-6 + 1)\/((-1)\/p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4753 or 4752?\nAnswer: 4752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/195305700 and -83\/200.\nAnswer: 390611400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -127*b**2 + b + 1. Let i(h) = 9*h. Calculate w(i(j)).\nAnswer: -10287*j**2 + 9*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 72110 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y. Let f be h(-3). Let o(m) be the first derivative of -m**4\/4 + m**3 + m**2\/2 + 3*m + 6. What is o(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2346 + -2277. What is the smallest common multiple of x and 36?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = 4*l - 5. Let j(f) = 3*f - 14. Let a be j(6). Solve -u = 2*y - l*y, a*u = y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s - 3*j + 43, -234*s + 232*s + 4*j + 26 = 0. What is the remainder when 497 is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/2, -3\/17, 2 in ascending order.\nAnswer: -1\/2, -3\/17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -245*n + 248*n = 33. Solve -16*r = -n*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + -1 - (2 - (4 + 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, x: 3}. Give prob of sequence xx.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 2*m - 10. Let f be i(7). Solve f*y = -13 + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 - -2. Find the common denominator of j - (1 + 298\/(-24)) and 138\/23 + (-306)\/40.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 70 = -19. Let p = -0.9953 + -0.0047. Which is smaller: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 191545?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -3*j - 2*j + 70, 3*o = -2*j + 55. Suppose -o = -4*m - m. Let y be 0\/(1 + -4) - 0. Solve -h = -y*h + m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1011 - 103 = -2*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 86 - 41. Suppose 27*x - 30*x = q. Let l = 39 + x. Solve -4*z + 5 = -5*p + 32, -3*z - l = -5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 42 and 99.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 251, 237, 205, 149, 63, -59?\n\"Answer: -t**3 - 3*t**2 + 2*t + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4663548054 - -10.9.\nAnswer: -4663548043.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 4*k**2 - 3*k - 16. Suppose 4*r = -23 - 1. Let u(s) = s + 12. Let o be u(r). Is 10 a factor of w(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the first derivative of -5*a**2\/2 + 18*a - 8. Does 12 divide j(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5797 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-24 + 38 - 105 - 60)*(v - v - v**2 + (3 - 3 + v)*(-v - 3*v + 0*v)) to m*v + c*v**2 + y and give c.\nAnswer: 755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(245) - (1 + sqrt(245) + sqrt(245) + 5)) + (sqrt(40)\/(sqrt(8)*2) - -2*sqrt(245)).\nAnswer: -6 + 15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 17 - 12 = -2*i, j - 5 = 3*i. Let r be 0*(-2)\/(-5 - -3). Solve -3*u - 2*u = -t - 15, -j*t - u + 29 = r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, 2, 1215, -2 in decreasing order.\nAnswer: 1215, 2, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 + 3. Suppose -2*d = -q*h - 0*d, 0 = -4*h - 2*d - 12. Put 1, h, -4 in descending order.\nAnswer: 1, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (5 - (8 + 1)) + 44\/10. Let w(j) be the first derivative of 0*j**3 - s*j**5 - 2*j + 0*j**4 + 0*j**2 - 1. Find the first derivative of w(m) wrt m.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -277, -334, -421, -532, -661?\nAnswer: -802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 20 = 2*o, -o - 5*a = -5*o + 1. Suppose 18*q = -0*q + 792. Let b = q - 37. Solve -p - b = -2*r, -p = o*r - 0 - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -33\/1916 and -67\/6706.\nAnswer: 13412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nonn. Give prob of picking 3 n.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 0.1  (c) -0.15  (d) -2  (e) 4\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes after 1:51 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 10793544 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the second derivative of -o**4\/12 - o**3 + 3*o**2\/2 + o. Suppose 0 = -30*n + 39*n - 36. Let w(p) = -1. Let y(t) = n*w(t) + l(t). Determine y(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**2. Let n = -14 - -16. What is s(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.07857239 and 0.4.\nAnswer: -0.031428956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 + 24*r**2 + 44*r + 7. Let n be d(-13). Let b = -1292 + n. Suppose 0*j + 0 - 6\/7*j**4 + 27\/7*j**3 - 12\/7*j**b = 0. What is j?\nAnswer: 0, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2269944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/1 + (8 - 10 - 6). Let s be (4\/3)\/((-1)\/48). Let d = w - s. Is d a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + k - 6 = 0. Suppose -6*w + 13 = -2*d - w, 3*w = k*d + 6. Let r(q) = 6*q**3. What are the prime factors of r(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1209, -1354, -1499, -1644, -1789?\n\"Answer: -145*c - 1064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 194370 - -1283?\nAnswer: 195653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u - 113 - 85 = 0. Suppose -u*n - 12 = -39*n. Solve -p + n = -3*h, 3*h + 0 = 2*p - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 39*a + 0 + 46*a + 0 to the form b + c*a and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4124 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:54 AM and 3:47 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2 + 4 - 2*1. Suppose 0*c - 3*c + 3 = 0. Let b(p) = 3*p**3 - p**2 - p + 1. Let t be b(c). Solve -6 = t*o - x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3 and 28047?\nAnswer: 28050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iqi when three letters picked without replacement from qiiqiiiiiiqqqiqq.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -202\/19 - -1338\/133. Put r, 1\/3, 2\/11, 12 in decreasing order.\nAnswer: 12, 1\/3, 2\/11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-3*(4 + (1*sqrt(500))**2 - sqrt(500)*3*3)*1 + 4)*1.\nAnswer: -1508 + 270*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 74947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(((a*a**(9\/7))\/a)\/a))**(5\/9) assuming a is positive.\nAnswer: a**(25\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the first derivative of -1 + 1\/2*k + 3\/8*k**2 - 5\/12*k**3. Solve c(i) = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -194, 4 in decreasing order.\nAnswer: 4, -2, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 24695 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -966093, -966105, -966129, -966171, -966237?\nAnswer: -966333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1698 - -2417. Let h = 676 - t. What is the biggest value in 5, 0, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 237335 is divided by 1869?\nAnswer: 1841","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 153188082847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -2*c**5\/17 - 2292*c**4\/17 + 2176*c**3 - 222592*c**2\/17 + 594432*c\/17 - 594944\/17 = 0.\nAnswer: -1162, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*i**4 - 108*i**3 + 820*i**2 - 1332*i + 616.\nAnswer: 4*(i - 14)*(i - 11)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - w + 0*w = -70, 2*d = -5*w + 5. Solve -15 + d = 12*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**3 + 10*f**2 + 8*f - 12. Let w be r(-9). Let z(y) = 65557*y**2 - y - 16. Let o be z(w). What is o rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 4*h + 20. Let f be r(-4). Let a(l) = -2*l**3 + 10*l**2 - 6*l - 5. Let g be a(f). Suppose -g*v + 7 = -5. Solve -1 + v = -u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -29*n + 10*n + 2*n + 16*n - 12. Let k(b) be the second derivative of b**3\/6 + 2*b. Calculate k(j(u)).\nAnswer: -u - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**2. Let x(q) = 8*q**2 + 2. Let d(o) = -20*v(o) - 2*x(o). Let t(n) = n**2 - 1. Determine d(a) - 3*t(a).\nAnswer: a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-1 + ((sqrt(1539)*6 + sqrt(1539) - sqrt(1539))*3 + 2 + -5)*6)**2.\nAnswer: -53853771 + 110808*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 7*w**3 - 173*w**2 + 8*w - 742. Give k(25).\nAnswer: 708","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 92362 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4353 and 422911362.\nAnswer: 4353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(833) - ((-1 + sqrt(833) - sqrt(833)) + sqrt(833) + 4)**2) - ((sqrt(1088) - -1*(1 + sqrt(1088))) + sqrt(1088) + -2*sqrt(1088)*-1).\nAnswer: -4211 - 215*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 + 0 - (-2 + -4)) + -5 + 5 + -59.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:40 AM and 3:46 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 633 - 634. Let l be 3\/((-10)\/(-4) - 1). Let u be (l - -2)*(-2)\/4. Is m less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -43 and 3.0152.\nAnswer: -39.9848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 2*f**2 - 63*f + 57. Let c be b(36). Let g = -367 + c. What is g rounded to 0 dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 60272 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76*w - 78*w = 0. Solve 12*t - 51 - 21 = w for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -242225, -483738, -725251, -966764, -1208277, -1449790?\nAnswer: -1691303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 6*v**2 + 15*v + 50. Let i be r(-5). Suppose 4*o = i + 99. What is the highest common factor of o and 252?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 439 greater than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*a + 1 - 2*a + 3*a)*(-2 - 1 + 4)*(a**3 + 4*a**3 - 2*a**3).\nAnswer: 15*a**4 + 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*k**5 + 5360*k**4 - 624734*k**3 + 18104884*k**2 - 13801536*k - 105106176 = 0. Calculate k.\nAnswer: -2793, -2, 3, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -17*g*q**5 - 19*g*q**4 + 3*g*q**2 + 62*g + 3*q**2 wrt q?\nAnswer: -1020*g*q**2 - 456*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8271983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9 + 10. What is the smallest value in -0.3, 4, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes before 11:17 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2\/3)*(r*r\/(r*r\/(r*r**(2\/19)))*r)\/r)\/((r*r**(-1))\/(r\/(r\/r**(-5)))) assuming r is positive.\nAnswer: r**(-260\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -27346, -27357, -27390, -27457, -27570, -27741, -27982?\nAnswer: -28305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80 = 39*h + 2*f, -5*h - 297620*f + 297625*f = 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 4, -2\/7, -9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-4))\/((-985)\/3152)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -49180 + 49180.28251. Round k to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 67 + 1239?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(1*1*sqrt(77)*-3)\/(-1*sqrt(891)*-5)*-4.\nAnswer: 16*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 3) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times -7338\nAnswer: 3669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -8*t**2 + 10*t - 174. Let q(c) = -2*c**2 + 2*c - 1. Calculate b(g) - 5*q(g).\nAnswer: 2*g**2 - 169","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1317879.1 from -3.019.\nAnswer: -1317882.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 0 = -20. Let u(d) = -7*d + 12. Let q(o) = 13*o - 23. Let n(t) = -6*q(t) - 11*u(t). Calculate the remainder when 32 is divided by n(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*c - 8 = -26*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 161.52 rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 152 + -219. Let t = 41 + d. Let a = t - -29. What is the second smallest value in a, 5, 0.11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 29 - 29.1. Let d = 0 + -0.4. Which is the closest to v?  (a) d  (b) 2  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41510 is divided by 2965?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 124 and 13733.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and -1.19.\nAnswer: -2.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((sqrt(147) + (sqrt(147)*2 - sqrt(147)))**2 - sqrt(27)\/(-2*sqrt(9))) + -3 + 0 + sqrt(147) + 4.\nAnswer: 15*sqrt(3)\/2 + 594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76 = 10*h - 164. Let n(s) = 113*s - 109. Is n(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -174*b - 158 + 1691 + 181 - 148 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f = 4*a + 48, 39875*a - 39873*a - 11 = 5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13447278, 26894570, 40341862, 53789154, 67236446, 80683738?\nAnswer: 94131030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*g - 16*g + 1 + 17*g + 67*g in the form q*g + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*x**2 - 9*x**2 - 4*x**4 + (-2*x + x**2 + 2*x)*(x**2 + 1 - 1))*(-564 + 534 + 264).\nAnswer: -702*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 310232 (base 4) to base 3\nAnswer: 11121222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25\/(-50)*(2 - -12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**2 - d + 1. Let y(u) = 26*u**3 - 7*u**2 + 5*u - 5. What is 5*i(c) + y(c)?\nAnswer: 26*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 706 divided by -1092.\nAnswer: -353\/546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 50339, 60779, 78171, 102509, 133787, 171999, 217139?\nAnswer: 269201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -258 = 230*a + 3422 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -159 (base 12) in base 9?\nAnswer: -256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 27*k**2 - 14*k - 9. Let a(o) = 80*o**2 - 40*o - 26. Calculate 6*a(j) - 17*m(j).\nAnswer: 21*j**2 - 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 19*j - 1. Give m(4).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -22158844.000001 - -22158801. Let g = -43 - p. What is g rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 280*b**2 - 30*b**2 - b + b + 761*b**2 to the form u*b**2 + h*b + c and give u.\nAnswer: 1011","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/20*152\/988*1235.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*d + 82 + 108. Calculate the remainder when d is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**2\/13 - 2747820*h\/13.\nAnswer: 2*h*(h - 1373910)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -5659*-0.09\nAnswer: 509.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**3 + 3*x**2 - x + 4903. Is z(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33033 (base 4) in base 7?\nAnswer: 2562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 16 = -5*b, 5*b + 2 + 16 = 2*j. Let q be (2 - (j + 3))\/2. Suppose q*h = -h + 7. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25401959 divided by 2309269\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -70550000 rounded to the nearest one million?\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 129262 divided by -10?\nAnswer: -64631\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 12*v**2 - 44*v + 2. Does 19 divide z(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 2 + 1 - i**3 + 4*i**2 + 0. Let t(o) = -o**3 - 29*o**2 + o + 33. Let r be t(-29). What is the units digit of z(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1590434 is divided by 4849?\nAnswer: 4811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**3 - 6*x**2 + 5*x + 3. Let s be l(5). Let p be (10\/(-3))\/((-2)\/s). Suppose 2*k - o = 11, -5*o + 2*o - 15 = 0. Solve k = -p*u - 17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 241 divided by -4295\nAnswer: -241\/4295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -2*u - 10. Let j be h(3). Let q be j\/(-88) + 4\/(-22). Suppose 4*a + 0*a = 8. Solve -8 = -q*i - a*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*u**2 + 2*u**2 - 2*u**2 + (u - 2*u + 0*u)*(0*u + 0*u + 2*u))*(8 - 9 - 5 + (1 + 4 - 3)*(-3 - 1 + 2)) in the form d*u + h*u**2 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66 = 304*c - 282*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -11*z**4 + 7*z**3 - 4*z**2 + 153. Let m(j) = -j**4 - j**3 - j**2 + 1. Let d(l) = 4*m(l) - p(l). What is the derivative of d(s) wrt s?\nAnswer: 28*s**3 - 33*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24072?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 197*o + 6 + 4 - 4 + 126*o**2 - 199*o - 128*o**2 + 23*o**4 to the form p*o + z + k*o**3 + b*o**2 + q*o**4 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 20 + 4 = -5*x, 5*t + x - 8 = 0. Let i = 6 - t. Solve -s - 15 = -i*j, j - 3 = s - 4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the second derivative of k**5\/20 - 5*k**4\/12 + 2*k**3\/3 - k**2 + 194*k. Calculate v(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06 times 0.0286?\nAnswer: -0.001716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 514 (base 7) to base 6\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4 and 82856?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and 66741.\nAnswer: -333705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -2*o - 2. Let n(b) = -8*b + 1. Let f be n(-3). Suppose -3*d + 10 = 2*d. Solve 22 = -d*z + 4*h, -5*z = -2*z - o*h + f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 171 divided by 4\nAnswer: 171\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -143\/62226 and -83\/156900.\nAnswer: 1627209900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the first derivative of q**7\/70 - q**3\/3 - q**2 + 10. Let b(t) be the second derivative of x(t). Differentiate b(r) with respect to r.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1701 - 37?\nAnswer: 1642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most as big as 2\/5717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 2*b**2. Let z(r) = -1043*r + 386*r - 737*r. Determine z(h(f)).\nAnswer: -2788*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/5, 1\/33, -58, 118.65?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4 - (-5)\/((-25)\/(-10)). Suppose -u*q + 3*q = -33. Let h = 9 - 7. What is the least common multiple of q and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 7 + -3 + 3\/(-3). Let f(m) = m**3 - 3*m**2 - 3. Let b(u) = -u**2 - 1. Give i*b(k) - f(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the second derivative of 407*i**4\/6 + 247*i**3 + 1463*i. Find the second derivative of r(a) wrt a.\nAnswer: 1628","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 155*w + 120. Is t(7) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -3*k - 6. Let o be 2\/(-6) + 19\/3. Let c be 13 - (-16 - (-1 + (-264)\/8)). Let d(l) = -4*l - 7. Calculate c*d(h) + o*y(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**2 + 9*h + 1. What is g(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - (-3 + (-3 - -3 - -5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3442377 by -7.\nAnswer: -3442377\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-923)\/(-936) + 2\/16?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -70, -313, -914, -2053, -3910, -6665, -10498?\n\"Answer: -30*g**3 + g**2 - 36*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7427514?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v + 5*n + 13, n = 2*v - 4 - 3. Let c(s) be the first derivative of -2 + s**3 + 0*s - 3\/2*s**v. Solve c(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2\/819 - 1616\/9009. Which is the biggest value?  (a) -2  (b) l  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 427 a factor of 1379210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -871*t + 9988. Calculate m(12).\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2958*y - 982080 = 661*y - 313*y + 4878*y for y.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 274739779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -2*j**2 - 258*j + 524 = 0.\nAnswer: -131, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1182057 is divided by 591008?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 471 and 38599863.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from ekkekkkeeeekke.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -2*b + 1 + b + 0 + 0. Let k(f) = -11*f - 2. Let l(x) = k(x) - 3*n(x). Differentiate l(h) wrt h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14.493 less than -0.1?\nAnswer: 14.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 2*sqrt(304).\nAnswer: 2 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f + 7*f + 3*f - 11*f + 2*f. Let s(x) = -19*x - 25*x - 14*x + 0*x. Determine o(s(g)).\nAnswer: -116*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 295704?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*c + 10*c - 2*c**2 - 54*c as x*c**2 + v*c + s and give v.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 5815 (base 13) to base 14\nAnswer: 4707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 463 > 468?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*b**2\/4 - 35*b\/2 + 75\/4 = 0. What is b?\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**3 - 3*s**2 - 3*s - 20. Let d be l(6). Calculate the remainder when ((-9)\/(-21))\/(4\/d)*12 is divided by 1*((1 - -21) + 1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.82 - 1.82. Let l = 0.12 + -5.12. Which is the nearest to 0?  (a) l  (b) o  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/3, 0.58, -4 in descending order.\nAnswer: 2\/3, 0.58, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1100 - -111011?\nAnswer: 101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:06 AM and 5:36 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -18*h**3 - 4589*h - 36 + 4589*h wrt h?\nAnswer: -54*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.9114 + 0.0886. Let j = -1 - -9\/7. What is the second biggest value in 0.5, j, -1\/8, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.008147 - 0.291853. Let t = -397\/2665 + -1\/205. What is the closest to -0.1 in t, -2\/3, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -12*q + 1. Let c be q*(4\/(-8) - 0). Solve c - 5 = 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -2, 22538, 71, 7, 3.\nAnswer: -2, 0, 3, 7, 71, 22538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 488443 (base 11) to base 14.\nAnswer: 161755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 5*b - 0*m - 2*m, 2*m = -3*b - 9. Let a = b - -6. Solve s + 1 = 2*n, -a*n = 3*s + 3 - 18 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 874.973899 - 0.033899. Let t = -882 + y. Let m = 8.4 + t. Round m to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 664995324?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1407 by 103928.\nAnswer: -1407\/103928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 143 bigger than -8962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 140 and 1330.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -3*t**2 + 2*t. Let h(w) = 29*w**2. What is h(s(f))?\nAnswer: 261*f**4 - 348*f**3 + 116*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 7*k**2 - k + 1. Let m be ((-12)\/(-9))\/(76\/(-171)). Determine z(m).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*t**3 - 49845*t**2 + 206569329*t + 3942831873 = 0. Calculate t.\nAnswer: -19, 8317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 106, 112, 122, 136?\n\"Answer: 2*f**2 + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 - 17169.\nAnswer: -17168.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-36)\/1110)\/((-105)\/175).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4140850 or 4140851?\nAnswer: 4140851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 52274 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 0.5679104 weeks?\nAnswer: 95.4089472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 108 divided by -12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 + -10022?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 480491793.\nAnswer: 3, 53387977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16 and 3714?\nAnswer: 29712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 12 = -3*x + 45, -f + 21 = 4*x. What is the remainder when (-2 - f)*(-18)\/45 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 14 - 25 = 2*t, 3*t = -4*i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*i - 9*i - 2*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 158291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -654007039*b**3 - 248218987 wrt b?\nAnswer: -1962021117*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6\/(-9) - (-2)\/(-6). Let s be (-4)\/(-15 + r)*68. Suppose 1 - s = -4*b, 0 = -2*u + 4*b + 42. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -330 - -337. Let n = 12 - 8. Are n and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.35 + 0.25. Let n = t - -2.1. Let i = 1.7 - n. Which is the closest to 0?  (a) i  (b) -3  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 - -0.4. Let o = -12.4 - -12.2. What is the third smallest value in b, o, 1\/6, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4094476567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2\/3 + h + 2\/3.\nAnswer: (h + 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - (2 + -11 + 15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*y - 9*y + 17*y - 12*y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 7 - 0.942260008\nAnswer: 6.057739992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 2*b**2 - 18*b - 20. Suppose -14*p - 369 + 509 = 0. What is w(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 173203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2112, 6785, 14574, 25479, 39500?\n\"Answer: 1558*n**2 - n + 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**3 + b + 1. Let c(t) = -5*t**3 - 6*t - 5. Calculate 4*c(y) + 22*m(y).\nAnswer: 2*y**3 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19*y**3 + 1 + 2*y - 21*y**3 + 41*y**3)*(-1 - 2 + 1)*(3 - 4 - 1).\nAnswer: 4*y**3 + 8*y + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -3*y - 2, v - 26 = 2*y. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -15 - 9 - 420*g + 810*g - 17 + 8*g**2 - 388*g in the form r*g + s + x*g**2 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 21*h**3 + 1. Suppose -r + 5 = -5*a, -2*r + 4 = -4*a - 7*r. Determine p(a).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 z when two letters picked without replacement from jwnjwjcwwwjncjuz.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1211311313 (base 4) to base 9.\nAnswer: 705182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.615 < 0.6642?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1333 (base 4) to base 6.\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -23723 times 34?\nAnswer: -806582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22120211210012 (base 3) to base 6.\nAnswer: -241450435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -27 - -17 - (-27 - (-1 + 11)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**2 + 25*f + 33. What is the remainder when (-2292)\/(-18) + 4\/6 is divided by g(25)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 190231 and 16471?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 575*p + 200675. Calculate s(-349).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-1\/3)*n*n\/(n\/n**1)*n*n)**14*(n**(-1\/5)\/n**(-1\/3))\/(n\/(n\/((n*n*((n\/(n**(-2\/5)*n)*n)\/n)\/n*n)\/n))*n)**(1\/7) assuming n is positive.\nAnswer: n**(5368\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 5, 3 in decreasing order.\nAnswer: 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 + -4 + (-7 - -706). Let h = r + -287. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 14, u: 4}. What is prob of picking 1 m and 3 u?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from orrokkroorrookkokkko?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -21  (b) 3  (c) -5  (d) 23.5  (e) 266.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kqtkvqqvkvkkxqk. Give prob of picking 1 x and 1 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 139\/3653760 and -53\/41520.\nAnswer: 3653760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.82525ml in litres?\nAnswer: 0.01482525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -3523 (base 11) in base 16?\nAnswer: -120f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*r - 4 = -3*z + 26*r, -3*r - 16 = -5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/6, 1707, -3, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -518.162 rounded to the nearest integer?\nAnswer: -518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 4*p - 2*p - 673 = 0, -2*p = 2*f + 272. Let l = f + 677\/5. What is the nearest to l in -2, 2\/9, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8895 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 77134 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -2, -272, -27, -4 in increasing order.\nAnswer: -272, -27, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**3 - 4*j**2 + 3. What is i(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0, 13, 29, 84 in descending order.\nAnswer: 84, 29, 13, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**3 + 43*z**2 + 4*z + 184. Let l be (-1073)\/25 - ((-123)\/25 - -5). Let b be h(l). Solve 0*v = -4*v - b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 5 - 0. Let s = -3811\/9 + 423. Let y = 3 - 0. Which is the second biggest value?  (a) y  (b) q  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7479761714 to the power of 1\/5, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -13, 8.8, -0.2, 7, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 75079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 680 = 3*g - 4*g, 2*o - 272 = -5*g. Is 35 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {e: 5, p: 2, t: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -16 + 13. Let w(f) = -2*f**3 + 3*f. Let z(g) = 4*g**3 - 5*g. Determine p*z(k) - 5*w(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**3 + 12*q**2 + 20138*q - 241702. Determine j(12).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13093525 and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/(d\/d**10*d)*d*d\/(d*(d\/(d\/(((d*d**(10\/9))\/d)\/d)))\/d)*(d*d\/(d\/(d**(-3\/4)*d)))\/d*d**(-16) assuming d is positive.\nAnswer: d**(-175\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/m**(-1\/2))\/m*m*m**20*m**(-1)\/m*m**(-5\/8)*m)**(-18\/5) assuming m is positive.\nAnswer: m**(-1431\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 3, -2.1, -0.072.\nAnswer: -2.1, -0.072, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 216517 is divided by 1204.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 10\/75*80\/14. Let d = 71\/84 - y. Do d and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 38734 divided by -2\nAnswer: -19367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 84*a**2 - 39*a**2 + 120*a**2 in the form f*a + b + v*a**2 and give v.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 1114264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19571, 156838, 529855, 1256636, 2455195, 4243546, 6739703, 10061680?\nAnswer: 14327491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/3*v**3 - 4*v + 0 + 10\/3*v**2.\nAnswer: 2*v*(v - 1)*(v + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57010926.\nAnswer: 2, 3, 7, 29, 46807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(448) + (sqrt(448) + -1 - sqrt(448)) + 5))**2.\nAnswer: 256*sqrt(7) + 1856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 2) + -11 + (-39 - -47).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is n in 2*n**3\/3 + 11998*n**2\/3 + 22996478*n\/3 + 4576982710 = 0?\nAnswer: -2407, -1185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -52.16 + 0.16. Let s = -430.33 - -430.33. Is s at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 4203910, 5.\nAnswer: -5, 5, 4203910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 99*u**5\/4 + 75*u**4\/2 + 57*u**3\/4 + 3*u**2\/2 = 0. Calculate u.\nAnswer: -1, -1\/3, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -191\/152596?\nAnswer: -191\/152596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 148056, 296114, 444172?\nAnswer: 592230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 87 - (-90 + 113 + 40)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1301 (base 6) in base 13?\nAnswer: 1c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 30*m - 8733943 + 8733943. Let c(h) = 5*h - 4. Determine c(k(z)).\nAnswer: 150*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 4*z + 6. Let q(b) = -2*b**z + 189*b - 189*b. Give q(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 87*h - 335. Let w be f(4). Let i(m) = -m**2 + 14*m - 23. What is i(w)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i + 18 = 21 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000237181072 rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:00 AM and 5:56 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 + -6.0000115. What is m rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h + 14 + 4. Factor 5*y**2 - 5*y**2 + 2*y + y**2 + 5*y**3 + h*y**2.\nAnswer: y*(y + 1)*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 * 8.081047\nAnswer: 3.2324188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -4017594 divided by 145?\nAnswer: -4017594\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 + 3\/6)*(-140)\/(-1155). Which is the closest to x?  (a) -0.3  (b) 0.4  (c) 0.02  (d) -0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-2)\/r**(-5\/6)*r**15\/r**(4\/23) assuming r is positive.\nAnswer: r**(1885\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -6, -5, 3 in decreasing order.\nAnswer: 5, 3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -22 - -25. Calculate the smallest common multiple of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-68*a + 132*a - 2 - 18*a - 1)*(4 - 4 + 2*a**2).\nAnswer: 92*a**3 - 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.195*4983\nAnswer: -971.685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 68567 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -342  (b) 87  (c) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14633*j - 14620*j - 78 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1bb (base 15) to base 8\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3432205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2397*t + 6320 = -5159*t + 51099 + 98785 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1264.945 - -0.055. Let f = -1345.9 + y. Round f to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -2*h - 4. Let a(q) = -q - 1. Suppose 4*f = -3*x + 10, -5 - 9 = -5*x - 4*f. Suppose 2*r + 4 = -x*r. Give r*y(s) + 3*a(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 1359 = -4*n, 3*n + n - 1349 = 3*d. Suppose 0 = -c - c + 10. Suppose 4*u = c*t + n, -2*u - 4*t - t + 133 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b. Let z be 10\/(-55) + (-62)\/22. Determine o(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:53 PM and 6:51 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(468) - -3*sqrt(468)) + -3 - (sqrt(468) + -4*sqrt(468)*2)**2 - 5*(4*(sqrt(468) + 0 + sqrt(468)) + 1).\nAnswer: -22940 - 216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 5, q: 1, i: 1, t: 1, b: 3, h: 1}. What is prob of picking 1 b, 1 u, and 1 t?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 351 - 200. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3140 + 3140. Solve w = 35*g - 37*g - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m - 3261 = 4*h - 3222, 4*h + 15*m + 33 = 12*m for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**5\/7 + 148*w**4 + 200720*w**3\/7 + 17170400*w**2\/7 + 536068000*w\/7 - 1142440000\/7.\nAnswer: 2*(w - 2)*(w + 130)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of u**4 + 3246457*u**3 + 354*u**2 + 3061?\nAnswer: 24*u + 19478742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -690, -56, 760, 1752, 2914, 4240, 5724, 7360?\nAnswer: 9142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 1, r: 2, n: 3, z: 1}. Give prob of picking 1 n, 1 a, and 2 r.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-901)\/34 + 72\/(-162) + 5\/(-90)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 4 - 1)*(-4 + 2 + 1)*(-1 - 2 + 0 + (0 - 4 + 3)*(-2 - 1 + 5) + 2 + 0 - 3 + 4 - 3 - 2)*(-5*c + 2*c + c).\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from {b: 2, x: 1, u: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -x**3 + x**3 + x**3 + (4*x + 0*x - x)*(-12*x + 3*x + 10*x)*(3*x - 2*x - 2*x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -52 + 84. Suppose 7*p + 2*a - 22 = 3*p, -a + o = 5*p. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**3 - 2*u**2 + 7*u + 10. Is 14 a factor of v(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 918 divided by 1?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 526, 720, 846, 898, 870, 756?\n\"Answer: -o**3 - 28*o**2 + 285*o + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = -0*v + v + 2*f, -2*v = -2*f + 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 859.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*n + 9. Suppose 2*b = n*b. Solve b*j = -2*j + 10, -s - j + 9 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3580 divided by 5\nAnswer: -716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 7 + 64*k - 9 - 19*k in the form h*k + a and give h.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1571840393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -90 >= -2470\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 105 and 5?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 46 and 4?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -19483610\/21 - -6624041\/7. Let r = 18504 - z. Calculate the common denominator of -40\/27 and r.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65128575.\nAnswer: 3, 5, 868381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 97a5 (base 13) in base 6?\nAnswer: 241351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11 - 4. Let h(i) = -4 - 4 + d. Let x(n) = -n + 9. Suppose -2*z = -z + 18. Calculate z*h(o) - 2*x(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001399368 to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 10}. What is prob of picking 4 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1\/3*r**2 - 3 + 2*r = 0. Calculate r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.37 + -68.37. Let x = 72 + d. Let b = 53\/189 + 1\/189. Sort x, b, -4 in descending order.\nAnswer: x, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p = -40 - 2. Let d be 88\/(-252) - p*(-4)\/(-42). Let w = -0.03 + -4.97. Put -1, d, w in descending order.\nAnswer: d, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(125)\/(sqrt(10)\/sqrt(2)) - sqrt(25))\/sqrt(5) + (sqrt(200)*-1 + sqrt(200))\/sqrt(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -21\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -11036 divided by -9141\nAnswer: 11036\/9141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 20.218 - 16.218. What is the closest to -16 in 2\/13, 2, g, 1\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -5*p - 2. Let q be t(-1). Suppose -q*d + 69 = 5*v + 12, -3 = 3*d. Suppose 212 = v*i - 8*i. What are the prime factors of i?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.04 and 290187431.8865?\nAnswer: 290187431.9265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7)\/6 - (-28)\/42)*1216\/(-48).\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1\/4*t**4 + 1\/4*t**3 - 5\/4*t + 3\/4*t**2 + 1\/2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.38 - 1.98. Sort 0.2, -4, n, -5 in decreasing order.\nAnswer: 0.2, n, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/25)\/(12 + -13)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1, -8, -5, 14, 55, 124, 227, 370?\n\"Answer: p**3 - p**2 - 11*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 17\/4 of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1471, 1635, 1801, 1969?\n\"Answer: n**2 + 161*n + 1309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**3 + 8*l**2 + 2*l - 10. Let n = 24 - 16. Let b be a(n). Suppose -4*u + b*u - 3320 = 0. Round u to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l = -5*p - 0*p - 33, -3*l + 13 = -5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -2*v - 13. Let b be p(-10). Let l(u) = 80*u**2 + 8*u + 13. Is l(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 420318 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18248219?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 76\/542643 and 58\/15.\nAnswer: 2713215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1119078833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**3\/7 + 3672*d**2\/7 + 7341*d\/7 + 3670\/7.\nAnswer: (d + 1)**2*(d + 3670)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3 - -78?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 0, -3, -9, -6, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**3 - 10*v**2 + 9*v + 2. Let s(k) = -4*k + 1. Let c(a) = a**3 - 2. Let l be c(0). Let h be s(l). Let u be r(h). Solve u*p + 5 = -1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -665  (b) 0  (c) -3  (d) -1  (e) 1\/12  (f) -1\/4  (g) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((3*2*sqrt(119) - sqrt(119)) + (sqrt(119) + -3*(sqrt(119)*-1 + sqrt(119)) - sqrt(119))))\/(sqrt(42)\/sqrt(6)*1 + 1*sqrt(175)).\nAnswer: 5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -15*w - 170. Determine r(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -4*q - 99. Determine z(-23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 + 1)\/(-2 + 1). Let z(f) be the third derivative of 2*f**2 - 1\/24*f**4 - 1\/6*f**3 + 0 + m*f. Calculate z(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 + t - 1. Let n(c) = -4*c**3 + 4*c**2 - c - 3. Let o(j) = -n(j) + 3*y(j). Does 4 divide o(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3.6 + -0.4. Let n = 3446 + -3446. Let a = 0.6 - 0.3. Put a, n, y in descending order.\nAnswer: a, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.0558824 months to centuries.\nAnswer: 0.000879902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**3 - 11*o**2 + 12. Suppose v - 4*a - 30 = -v, 0 = 3*v - 5*a - 43. Let h be r(v). Let j(c) = c + 1. List the prime factors of j(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3249\/6498 + 3\/4.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (7 + -9 - -7) + (-22 - -4 - -3)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 13*t**2 - 1. Let w be c(-1). Suppose w = a + 3*a. Find the third derivative of -4*x**3 + a*x**2 + 4*x**3 - 4*x**2 - 3*x**3 wrt x.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -35 + 39. Let l be -2*(10\/j + -3) + -1. Suppose 2*k - m - 10 = m, -5*m - 15 = 0. Solve -k*a - 10 = -l*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 + 2)*(-20)\/15\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1472.289km in millimeters?\nAnswer: 1472289000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the first derivative of d**2\/2 - 4. Let a = 641 - 638. Let j(r) = -r. What is a*l(q) + 2*j(q)?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 23 - -6 - 1 - 49\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.11 + 0.39. Suppose 0 = 3*m - 8*m. What is the nearest to m in 1, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.771588km to nanometers.\nAnswer: 1771588000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12*q**2 - 248*q - 160.\nAnswer: -4*(q + 20)*(3*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3 - (8\/(-6) + 3\/9). Let q be (-1 + 0)*(-5 - -2). Suppose -b*w = -q*w + 5. Let p(s) = -s**2 - 2*s + 4. Calculate p(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 27 = -6. Let h = -9 - d. Let c be (9\/(-5))\/((-3)\/10 + 0). Solve 2*j - j = h*x - 6, j - c = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 19452 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -540 + 543. Solve 10*h - 7*h = -y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 68, 225, 474, 815, 1248, 1773?\n\"Answer: 46*b**2 + 19*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2547 is divided by 321.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h + 2*i + 29 = -2*i, 2*i + 12 = -2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5*(-2 + (-8)\/(-10)). Let d = 52 + r. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w - w = -51. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -237*f - 76*f**2 + 89*f**2 + 94*f + 57*f + 86*f.\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2027175 is divided by 2422.\nAnswer: 2383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3121 - 367. What is the highest common divisor of m and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*((sqrt(204) + sqrt(204)*-1 + sqrt(204) - sqrt(204)) + sqrt(204) - sqrt(204)) - sqrt(204))\/(sqrt(12) + sqrt(768)*-1))**2 + 0)*-5.\nAnswer: -85\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p*p**(-2)*p*p)**38*p**2\/p*p**(1\/9))\/((p\/((p*p*p*(p\/(p**(-2\/9)\/p))\/p)\/p))**(-4\/7))**(1\/22) assuming p is positive.\nAnswer: p**(53398\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6801030\/405*10\/(-4)*3\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 746.60866 rounded to one dp?\nAnswer: 746.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that 5*j**4 + 796795*j**3 - 35069600*j**2 - 149839780*j - 153026880 = 0.\nAnswer: -159403, -2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 71*t**3 - 4*t - 3. Let o be d(-1). Let p = -87 - o. Let y = p + 21. Solve -y*b + 21 = -5*n, -n + 2 = b + n for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 93\/4 of a kilogram?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.1 - -4.9. Let f = 5 + -4. Let q be 2 + 0\/f + 0. Which is the third smallest value?  (a) n  (b) q  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z + 4*z + 6. Let j = -163 + 162. What is the nearest to j in -4, z, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*d + 2084*d**2 - 9 - 6042*d**2 + 7 + 2.\nAnswer: -3958*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 584706.5ng to tonnes.\nAnswer: 0.0000000005847065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide ((-5)\/(-10) + -1)*-136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6417797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**3 + 10*g**2 - 7. Determine w(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the third derivative of -33*g**8\/112 - 16*g**4 - 4*g**2 - g. Find the second derivative of d(c) wrt c.\nAnswer: -1980*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 30.9 times 1\nAnswer: 30.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, -59\/454, 77, 0.3?\nAnswer: -59\/454","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 28390.36km?\nAnswer: 2839036000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 160, 1320, 4470, 10606, 20724, 35820?\nAnswer: 56890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -964.73227675096 + -0.26772282004. Let d = 965 + l. What is d rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**2 + q + 1. Let z be i(3). Let n be -2*1\/8*(-56)\/7. Which is the second smallest value?  (a) -2\/7  (b) z  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 99 - e4?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 0*i + 0*i**2 - i - i**4 - 1 + i**2 + 0*i**2 + i**3. Let k(m) = 3*m**4 - 2*m**3 - 2*m**2 + 2*m. Let r(t) = k(t) + 2*w(t). Differentiate r(z) wrt z.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 27*l**2. Let c(h) be the second derivative of h**3\/3 - 171*h. What is d(c(b))?\nAnswer: 108*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4033 - 11103?\nAnswer: -3030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 - 29b?\nAnswer: -29a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -31\/4 at most -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**3\/6 + 104489*s**2\/3 + 1819623690*s - 3639386700.\nAnswer: (s - 2)*(s + 104490)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -512*q - 760*q - 34344 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 135 at most 1208\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z + 7*z + 2*a, 5*z = -3*a - 1. Suppose 7*h = 16*h. Solve -s + z = -h*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12775 + -12775.24. What is the nearest to 1\/3 in 3, 0, -4, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 26*o. Let x(z) = 39*z**2 - 54*z. Let k(c) = -40*c**2 + 63*c. Let m(g) = 6*k(g) + 7*x(g). Determine f(m(i)).\nAnswer: 858*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -33372?  (a) -2\/7  (b) 4  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 1  (b) -5  (c) 0.4  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, k: 6}. What is prob of sequence kk?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 587 - 405. Let f = -183 + p. Let h = 28 + -34. Which is the closest to 1?  (a) -4  (b) h  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 3*l**3 - 7*l + 7. Let y(m) = 3*m**3 - 6*m + 6. What is -6*s(t) + 7*y(t)?\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x + 26 = 3*u, -u - 20*x = -17*x + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*((18\/(-2))\/(-9))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 9 + 3)*(4*b - 45*b + b + 2).\nAnswer: 240*b - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 - (3 - -14 - 24) - -19.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 + 49. Calculate the remainder when m is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the second derivative of -d**3\/2 - d**2\/2 - 2*d. Suppose 40*u + 88 = -18*u - 28. Calculate v(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 3, -14, -51, -2\/2583 in ascending order.\nAnswer: -51, -14, -1, -2\/2583, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 45481792 and 656.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-46)\/(-10) - 4\/(-10). Suppose -2*r - 10 = 3*f, r = -x*f + f - 10. What is the units digit of f\/(-3)*(-15)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.594 - -2.6. Let k = -0.026 + s. Let j be (-2)\/7*(-3)\/(-6). Which is the nearest to -0.1?  (a) 1\/7  (b) k  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 17*f + 116. Determine i(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 42172 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 167*s - 21 = -3*z + 170*s, -5*s - 3 = 11*z. Factor 4\/3*f**z + 0 - 1\/3*f**3 + 5\/3*f.\nAnswer: -f*(f - 5)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 23*n**3 + 3*n**2 - 26*n - 191. Let a be j(-6). Is a smaller than -4894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**3 + 3*z**2 + 2*z - 5. Suppose 0 = -7*o + 8*o - 3. Let f be u(o). Suppose -2*j + 176 = -5*t, -9 + f = -2*t. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -13*w**2 + 7*w. Calculate b(3).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 40 = v. Suppose 5*j + 4*q + 5 = 0, -4*j + 3*q + 35 - v = 0. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -71\/20 - -43\/12. Let y(h) be the second derivative of 7\/60*h**5 - 5\/36*h**4 + 0*h**2 + 0 - 2*h - x*h**6 + 1\/18*h**3. Suppose y(f) = 0. What is f?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 419, 815, 1189, 1529, 1823?\n\"Answer: -2*z**3 + z**2 + 407*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 566 in 13950, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -73 - 5*w**2 - 112 - 50 as c*w**2 + p + f*w and give p.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the first derivative of 4*g**3\/21 - 40*g**2\/7 - 42. Let t(u) = 0. What is u?\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5.5 in 0.07, -12, 0.4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 754912 is divided by 339?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 548 and 81628?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 120 - 117. Differentiate -16 - 85*i**j + 19 + 38*i**3 with respect to i.\nAnswer: -141*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1061 = 7*i + 3*h, -7*i + 6*i = 4*h - 173. Which is bigger: 159 or i?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 (base 14) in base 4?\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**3 - 9*g**2 - 2*g + 10. Let k be j(9). Let y = -3 - k. Suppose 0 = -0*o - y*o + 30. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21886 = 138*o - 55355 + 22179. What is the remainder when o is divided by 143?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(-3) + 5\/(-3). Let o(s) = -s**3 + s - 2. Let n be o(-2). Let x = -84 + 1090\/13. What is the smallest value in x, f, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 269985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 103218467.\nAnswer: 11, 9383497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-2\/71)*q**11*q)\/(q\/(q*((q*q**19)\/q)\/q))**1 assuming q is positive.\nAnswer: q**(2128\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 965527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the third derivative of -d**4\/3 + 35*d**3\/2 + 81*d**2 + 2*d. What is the tens digit of x(-39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f*f**(-2)*f)\/(f*f*f**(1\/9))*f**(1\/2)\/f**(2\/13) assuming f is positive.\nAnswer: f**(-179\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1533240472 is divided by 337.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 289*m = -75739 + 95680 for m.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -5*w - 8, -4*g - 4*w = -7*g + 13. Suppose g*m = 4*m + 4. Let q(a) = -9*a - 9. What is the tens digit of q(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.0664 and 0.37.\nAnswer: 0.024568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 186048 and 63954?\nAnswer: 2046528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (5 - (-72)\/(-21)) + (-4)\/7. Calculate the remainder when 72 is divided by (-4)\/(n\/(-8)*41 + 5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = 43 - 42, -r + 5*h = -4. Let q be -82 + (-25)\/15 + r\/3. Put q, 4, -5, 0 in decreasing order.\nAnswer: 4, 0, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 6907*i**3 + 10621*i**3 - 7239*i**3.\nAnswer: -3525*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4069*w - 72*w**3 + 4072*w - 12209*w + 92*w**3 + 4068*w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 2*f = 33. Calculate the smallest common multiple of 22 and -1 - f\/((-3)\/3).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/10 and 3\/15 + 46\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 - -2. Suppose -9*l = -0*l - 828. Suppose w = -s*w + l. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -130537*z. Let f(c) = -25*c. Calculate u(f(p)).\nAnswer: 3263425*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 62 = h, 16 = -8*m + 4*m. Let s = h - -69. Suppose -s*i + 2*o - 303 = o, 3*i + 315 = 5*o. Round i to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5015)\/170*(1\/4 + (-351)\/156)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8712809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**3 - 12*r**2 - 10*r + 14. Let k be a(-11). Solve -6 = 2*v + 4*q - 0*q, -q = -k*v + 19 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 61 = -3*t, -2 = 2*c - 4*c. Suppose 2*r + 0*r + 3 = -5*k, -2*r + 18 = -2*k. Suppose 2*p - 6 = r. Calculate the remainder when t is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 138 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 304183050 to the nearest one million.\nAnswer: 304000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:33 PM and 1:16 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*q - 18 = 3*q. Suppose -5*k + 0 = -10. Suppose -k*c + q*i = -85, -2*c - 35 = -3*c - i. List the prime factors of c.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 2*g + 11. Let a be u(-8). What is the least common multiple of 4 and ((-2)\/a)\/((-3)\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2225305.2258 - -2225648. Let f = a + -342.3. What is f rounded to two dps?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/5*(2652\/(-119) + 23)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - p + 2)*(0*p - p + 2*p) - 21 + 21 + 6*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 123*j - 175*j + 4160 - 838 = 250*j for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l - 1. Let j(k) = -8*k - 1. Let s(n) = -2*d(n) + j(n). Let i(p) be the second derivative of -3*p**3\/2 + p**2\/2 + 11*p. Determine 5*i(x) - 7*s(x).\nAnswer: -3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the first derivative of -7*c**2\/2 - 1. Let m(o) be the third derivative of 1\/4*o**4 - 2*o**2 + 0*o**3 + 0*o + 0. Give 5*k(b) + 6*m(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-22)\/(-6) - 6\/9. Suppose -2*y + 10 = t, 4*t + v*y - 32 + 7 = 0. Solve l - 2 = 2*x + 3, t*x + 4*l = -40 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c - 36 = -3*d, 37*c = 18*c + 21*c - 64*d + 582 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**3 + 1. Let g(b) = 6*b**3 + 3*b - 5. Let o = 2 - -1. Suppose -d + o*d - 2 = 0. Determine d*g(l) + 5*s(l).\nAnswer: l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14 - 29 + 33)*(21*h**2 - 21*h**2 - 16*h - 2*h**3).\nAnswer: 20*h**3 + 160*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1\/68 - 129\/476. Let o = 1\/5 - 0. Let w = 0.2 - 0.2. What is the second biggest value in o, b, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 + (4 - 3) + (4 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 46*m**2 + 26*m - 3*m - 48*m**2 to the form i*m + h + d*m**2 and give i.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 8 - 17 = 0. Let l = 63 - 45. Which is the second biggest value?  (a) -2\/11  (b) l  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*q - 3*p + 28 = -47*q, 5*p = q - 14. What is the remainder when 9769 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -322180034, -322180037, -322180040, -322180043, -322180046?\nAnswer: -322180049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2645 + ((-6)\/(-4))\/((-4)\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (111 - 111 - 10*h)*(-2*h + 0*h - h**2 + 4*h)*(-4*h**2 + 4*h**2 + h**2).\nAnswer: 10*h**5 - 20*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/2)\/((180\/(-8))\/5).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 14*n - 3. Let l(k) = 407*k - 88. What is -88*b(z) + 3*l(z)?\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 5 = -1, z + 18 = 5*j. Let i = j - -1. Suppose -3*r = h + 4, 4 = i*h - 2*r + 4*r. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*b + 4*b - 27*b**2 + 25*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 62908285 bigger than 62908289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -30 - -37. Suppose 5*q - p = 3. What is the tens digit of -3 + 1 + (q - -15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -4*p**2. Let u(n) = 1218*n**2. Calculate o(u(m)).\nAnswer: -5934096*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, p: 1, r: 2}. Give prob of sequence rpk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 6) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04 - -934614?\nAnswer: 934614.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/10 - (-231)\/(-35). Let x(a) = -5*a**2 - 39. Let k(c) = 2*c**2 + 19. Let o(n) = f*k(n) - 3*x(n). Suppose 3*r + 0*r = -2*r. What is o(r)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -103\/81382008 and -39\/2.\nAnswer: 81382008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*y + 10. Let l be -5*y*18\/120. Put -4, -1, 6, l in descending order.\nAnswer: 6, -1, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 392, -5930, -12252?\nAnswer: -18574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 5*n**2 + 13*n + 3. Let b be f(-2). Let p = -38\/13 - b. Let c(m) = 2*m + 1. Let x be c(-1). Is p less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-836)\/(-1045) - 0\/1. Factor 24\/5*c**3 - b*c**4 + 32\/5*c + 0 - 48\/5*c**2.\nAnswer: -4*c*(c - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*n**3 - 3*n**3 - 3*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -2*h**2 + 193454*h - 304406400 = 0.\nAnswer: 1600, 95127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s + 15 = -5*n + 1, 3*n = -3*s - 30 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l = -9*l + 2. Calculate the lowest common multiple of l and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-8)*s*(s**(-11)*s)\/s*s)\/(((s*s**(-3\/11))\/s)\/(s*s\/s**(-4\/13))))**(-18) assuming s is positive.\nAnswer: s**(37116\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*w - 2*w + 0*w)*(-4*w + 0*w + 2*w) + 52 - 52 - 25*w**2 + (-4*w**2 + 2*w**2 + 5*w**2)*(3 - 3 - 2).\nAnswer: -35*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -11\/696 or -1?\nAnswer: -11\/696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*q + 22*q + 1 = 0. Calculate the least common multiple of 14 and ((-165)\/(-15))\/(q\/2).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = 3*i - 484, 2*r - 3*r + 121 = 2*i. Let v = 3 + 0. Let b be v - (-3)\/(12\/32). What is the highest common divisor of b and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16244*x**2 - 16244*x**2 - x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 4*k. Let c(p) = -216*p - 875720 + 875720. Determine c(d(a)).\nAnswer: -864*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/((-2)\/3))\/(3\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2023*r + 1074*r + 960*r.\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = t + 3*o + 1, -28 = 1759*t - 1763*t - 4*o for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**3 - x**2 - 2*x. Let y be z(2). Suppose -k + 5*v = v + 12, 12 = 4*v. Suppose -f + k*f + 37 = y. What is the remainder when f is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 21\/489775 and 53\/3425?\nAnswer: 489775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 660*b - 674*b - 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 1665*g**2 + 4*g + 3. Let z be b(3). Round z to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q - 1. Let w(a) = -2*a - 8. What is -l(h) - w(h)?\nAnswer: h + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnqq when four letters picked without replacement from nnqnqqqqnnqqnqnnqqqn.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**2 - 10*t - 7. Let u be k(-9). Suppose a - u*a + 415 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 504617 is divided by 50.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) 0.3  (b) -44780  (c) 0.1  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -62*i - 379. What is v(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3263395 is divided by 13106.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*v**3 + 167*v**2 - 167*v**2 + 0*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/126*14\/6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**3 + x**2 - x - 31. Give t(0).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1090, 1104, 1118, 1132, 1146, 1160?\nAnswer: 1174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -3*t - 3*n, -3 = 4*n - 11. Let g = t + -4. Solve 3*p + 4 = g*w + 13, -3*w + 2*p - 1 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -81299141*0.03.\nAnswer: -2438974.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 1308*c - 2578. Let k be o(2). Solve 4*d - k = -2*g, -g = -4*d + 21 + 2 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 6338 - 9?\nAnswer: 632c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -138*q - 132*q + 664*q - 134*q - 123*q - 139*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 40*b**3 - b**4 - 45*b**3 - 31 + 11 wrt b?\nAnswer: -4*b**3 - 15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -89200 divided by -17840.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22009 is divided by 7201?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 - -3. Let t = 273601 - 273599. Solve 3*b = -3, k*y = b - 0*b - t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37632 less than 37635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.1445 + 0.2108. Round v to three decimal places.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 + -8. Let c = -1.1 + 1.5. Put 0.5, d, c in descending order.\nAnswer: d, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -19, -42, -65, -88, -111, -134?\n\"Answer: -23*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21302023002 (base 4) to base 13.\nAnswer: 6ba546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i**2 + 0 + 0 + (2*i - 2*i + i)*(-i + i + 2*i) + i**2 + 6*i**2 - i**2 - 2*i**2 - 4*i + 4*i.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x - 16 = -8*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*v + 14*v - 13*v.\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(0 + sqrt(605) + -1 - ((sqrt(125) + (sqrt(125)*2 - sqrt(125)) + sqrt(125) + -5 - sqrt(125))**2 + sqrt(125)))*-5.\nAnswer: -7890 + 1590*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(32)*2 + sqrt(6)\/sqrt(3)*-6)*-4.\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 184a (base 12) to base 9\nAnswer: 4024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3387155*r**2 + 6774156*r**2 - 3386974*r**2.\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the first derivative of -3*d**2\/2 - 6*d - 6. Does 4 divide j(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 42496 and 72.\nAnswer: 382464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83071 is divided by 2081.\nAnswer: 1912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -57 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, -2\/17, -46, -0.05, -9592?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000338131 rounded to seven dps?\nAnswer: 0.0000338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m. Let x(l) = -258*l**2 - l**3 + 122*l**2 - 24*l + 3*l**3 + 120*l**2. Let b(k) = 4*h(k) + x(k). Find the second derivative of b(y) wrt y.\nAnswer: 12*y - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -9*v**2 - 1042*v - 1799. Determine i(-114).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a - 0*a + 36. Suppose -76 + a = -4*k. Calculate the remainder when 62 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n + 2*j + 0*j + 1 = 0, 2*n + j = 10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 165165 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(12)\/sqrt(4) + sqrt(3) - sqrt(108)*-1) + 2.\nAnswer: 5 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3 - 6*-1)\/1. Suppose -g*j + 35 + 136 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 167*p**2*t**2 + p**2*t + 3*p**2 + 4*p*t**2 + 17*p + 2*t wrt p?\nAnswer: 334*t**2 + 2*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 208444053?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -3*q + 948. Let c = 4 + -12. What is the remainder when 73 is divided by q\/6 - (-12)\/c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -4  (b) -4182\/35  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 434 = -p + 3*p, 5*p - 859 = -2*y. Suppose 0 = 12*m + y + 60. Let w = 25 - m. Is w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 + -2 + 3 + 2. Let n be (3 - 1)*u\/2. Sort 3, -2, n in increasing order.\nAnswer: -2, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**3 + 5*n**2 - 7*n. Let g be t(-6). Let s be (27\/(-6))\/((-3)\/g). List the prime factors of ((-3)\/s)\/(2\/(-246)).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - -46.69?\nAnswer: 45.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -625\/1257406?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y*y**(-3)*y)**(-22\/9)\/(y\/y**(-1))**25 assuming y is positive.\nAnswer: y**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**3 + 122*q**2 - 3040*q + 16200.\nAnswer: 2*(q - 10)**2*(q + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 411325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*t**2 - 5*t**2 + 17*t**2 as m*t + n*t**2 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(((sqrt(3) + sqrt(3)*2 + 2)**2 - (2*(sqrt(3) + 0))**2)*-2 - (sqrt(189)\/sqrt(7) + sqrt(27) + (sqrt(18)\/sqrt(24))**2)).\nAnswer: 155\/4 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 18 + -25. Let p = -3 - i. Sort -1\/2, p, -0.1 in increasing order.\nAnswer: -1\/2, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4.6786 and -44.\nAnswer: 205.8584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -4, 6, 2\/3, 8, -4\/21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p - 2*p + 3*p)*(-p**4 + 6*p**4 - 3*p**4) + (4 + 2 - 2 + 1 - 2 + 2 + 2 - 5 + 1 + (1 - 4 + 2)*(1 - 3 + 0))*(4*p**5 + 0*p**5 + 0*p**5).\nAnswer: 22*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-1112)\/64 + 8)\/((-6)\/32*-12)\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -87280 or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 29*v**2 - v. Let q be f(-1). Suppose -2 - q = -r. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34 + v**2 - 34.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23836, 23832, 23826, 23818, 23808, 23796, 23782?\nAnswer: 23766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h + 3 = 2*f + 1, -2*h = -f - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 7 + 13 = 0. Let m = -0.12 + 0.02. Let d = -0.9 + -1.1. What is the biggest value in r, d, m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve d - 4*v = -1, -d + v = 852 - 854 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -51141 (base 8) to base 14\nAnswer: -7985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-22)\/(-4))\/(3*(-15)\/90)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 496804 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 41538159 rounded to the nearest 10000?\nAnswer: 41540000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:07 AM and 2:30 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**3 + 7*v**2 - 4*v. Let c(i) = -3*i**3 - 14*i**2 + 9*i. Let d(x) = 4*c(x) + 9*t(x). Find the third derivative of d(r) wrt r.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 64038 from 1.4051.\nAnswer: -64036.5949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 l when two letters picked without replacement from {l: 1, j: 1, q: 4, u: 3, g: 6, v: 4}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 - -71. Suppose -3*c = 18 - f. Suppose -4*v = c - 114. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 - -12. Let s be 10*(-1 + x\/6). Calculate the highest common factor of s and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 190*h - 195*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-2)\/(-4)*-1 - (-87390)\/180.\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.197418452 + -0.19743. Round m to seven decimal places.\nAnswer: -0.0000115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w and 1 z when three letters picked without replacement from {w: 6, z: 4}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 257094 is divided by 256499?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(14)\/sqrt(7))**2 + ((sqrt(18) - sqrt(2)) + 1)**2.\nAnswer: 4*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -4215, -8483, -12751?\n\"Answer: -4268*g + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 48*n**2 - 15*n + 411. List the prime factors of b(35).\nAnswer: 2, 3, 9781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 59  (b) 728  (c) 18\/5  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - 200193.2?\nAnswer: -200195.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 + 12 = 5*r. Suppose 21 + 131 = r*z. Suppose 4*h = -3*b + 63, -5*h = -h - 2*b - z. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 1144564*x. Let c(w) = -43*w. Give c(b(j)).\nAnswer: -49216252*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1710\/40)\/9*(-130)\/(-6175))\/(2\/236).\nAnswer: 59\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-5)\/(984\/484 + -2)*-4. Suppose -5*j - 3*f = -589, 0*j = 5*j - 5*f - u. List the prime factors of j.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + c = -11, -2*w + 7 + 3 = -2*c. Suppose -400 = -5*a - j - 152, w*j = 5*a - 256. Let k = -16 + a. Calculate the remainder when k is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is b + 1a8b?\nAnswer: 1a99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 7*y**2. Let k(r) be the first derivative of 17*r**6\/360 - 41*r**3 + 24. Let c(i) be the third derivative of k(i). Calculate c(l(o)).\nAnswer: 833*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the second derivative of 0*a**4 + 0 + 0*a**6 + 0*a**3 - 2\/105*a**7 + 1\/25*a**5 + 0*a**2 - 45*a. Factor z(y).\nAnswer: -4*y**3*(y - 1)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -2*b - 1. Let o(t) = 4*t - t + 2 + 0. Suppose 0 = -k - 2*d + 9, 5*d = 4*k + k - 15. Let y be (0 - (-18)\/3)\/((-2)\/(-1)). Determine k*h(p) + y*o(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 3*p - p. Let j(i) = 3*i - 8. Let l(y) = 2*y - 5. Let o(m) = p*j(m) - 8*l(m). Calculate o(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-2\/43))**(-1\/14) assuming f is positive.\nAnswer: f**(1\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p + 40 + 8. Solve p*y - 20*y = 40 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2578148044 to the nearest integer?\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13 - -40. Suppose 5*w - 2*v - 40 = 0, 2*v = 2*w - v - i. Let a be -120*(14\/w - 3). What is the highest common divisor of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16579517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 21*n + 19*n - 240 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes after 2:14 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {o: 2, v: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 15 = 11. Solve 5*a - c*l + 14 = 0, -l + 2*l + 6 = -4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-260)\/(-450)*-3 - ((-18)\/(-5) + -4). What is the closest to -2 in -4, b, -1\/7, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**2 + 6*j + 10. Let g be h(-7). Suppose 0*n + 5*f - 28 = -n, -f = 4*n - g. Suppose n*q - 5*q = 6. Which is the closest to -2\/7?  (a) q  (b) 4  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37667 = 12*x - 5*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -8248, -2, 16, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + r = -16. Let b = 12 + -2. Let l(d) = 3 - b - d**2 + 5 + 5*d. Give l(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2 - 9 + 9*r + 8 - 17 with respect to r.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 208 divide 953468169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x**3\/3 + 4920340*x**2 + 4*x\/3 - 19681360 = 0.\nAnswer: -2, 2, 14761020","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1378387\/278460 + 1\/27846. Let w be 121*(-99)\/12*3. Let p = -3014 - w. Find the common denominator of q and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 0.5, -9463, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -3795.444 times 0.3\nAnswer: -1138.6332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 4073\nAnswer: 3\/4073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -113, -116, -109, -86, -41, 32, 139?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 13*b**2 + 1. Let n be v(-1). Suppose -4*r = -0*r + 8. Is r\/7 - (-1670)\/n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 4590, 11316, 18042, 24768, 31494, 38220?\n\"Answer: 6726*h - 2136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 19456 or -0.614?\nAnswer: 19456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 181780 to the power of 1\/2, to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4*g**2*l**2 + 403*g**2*l + 221*g**2 - 1 wrt l?\nAnswer: -8*g**2*l + 403*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**1\/b)**(-35)\/(b**7*((b\/b**(-1\/2))\/b)\/b))\/((b*b**1)**(-19)*b**2*b*(b\/b**(-2\/9))\/b) assuming b is positive.\nAnswer: b**(509\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 3 = 4*f + f, 3*m = 2*f + 4. Let t = -93 + 162. What is the lowest common multiple of t and m?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 119 and 3213?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 5\/(-15) - -2*(-1)\/(-6). Suppose 3*u + x = -x - 527, v = -5*u - 4*x - 877. Let d = u - -290. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 72 and ((-8)\/(-60))\/(1\/(-9))*-10.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4032895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 71*o - 107. Let w be n(35). Suppose -3*g = 5*j - w, -2*g - 1545 - 353 = -4*j. What are the prime factors of j?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -848*t + 303. Let i(m) = 850*m - 304. Let r(k) = 2*g(k) + 3*i(k). Differentiate r(w) wrt w.\nAnswer: 854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(4\/3)*z)**(-2\/7) assuming z is positive.\nAnswer: z**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/56 and -77\/211800.\nAnswer: 1482600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3789?\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**2 + 22*r - 13. Let o be v(14). What is the highest common divisor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i = -5*f + 4*f, 7*f - 15 = 5*f + 4*i + 17 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -9683273, -9683295, -9683319, -9683345, -9683373, -9683403, -9683435?\n\"Answer: -l**2 - 19*l - 9683253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 143 a factor of 43802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -119839*0.24\nAnswer: -28761.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f**2 + 6*f - 5. Let z be p(5). Let u(x) = -2*x**2 - 9*x + 5. Let t be u(-5). Let n be (t - 0\/(-1)) + -3 + 0. Sort 1\/3, z, n in decreasing order.\nAnswer: 1\/3, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*n**4 - 15 + 4*n**3 - 24 + 4*n**4 + 2*n + 42 to b*n**3 + h*n**2 + s + j*n + k*n**4 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qhhqqqqhhqqqqq. What is prob of picking 2 q and 2 h?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -11 + (8 + -1 - (-14 + (17 - -8)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2a + 14191?\nAnswer: 14210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -163*x - 2619 + 2945 = -85*x - 3496 for x.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**3 + 9*s**2 - 8*s + 2. Let a be y(8). Let u be 5 + 0 - a\/2. Suppose 2*j - 7*j - 5*r = 15, -u*j + 3*r + 9 = 0. Solve m + j*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 8 - -36?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 7*h**2 + 3*h - 3. Determine y(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*g**3*n - 78*g**2*n - 3*g**2 - 708*g*n - 3*g wrt g.\nAnswer: 12*g*n - 156*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 0 - 2\/3*i**2 = 0. What is i?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3110, -5730, -10070, -16130, -23910, -33410, -44630?\nAnswer: -57570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the first derivative of -4*k**3\/3 + 4*k + 15. Determine p so that a(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**3 - a**2 + 22*a + 10. Let s be f(-5). Suppose 5*j + 11 = 41. Solve s = -3*c - 0 - j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 10) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -323320 (base 4) in base 5?\nAnswer: -110312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bu when two letters picked without replacement from uauazuzabahb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9645.183mm to kilometers.\nAnswer: 0.009645183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/34, -0.3, 62, 18 in descending order.\nAnswer: 62, 18, -1\/34, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.9*122.5.\nAnswer: -232.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 126541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-13)\/(-78))\/((-2)\/6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(560)*-1 - sqrt(35))\/(4*(2*sqrt(5) - sqrt(5))).\nAnswer: -5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 0, -10, -2833 in ascending order.\nAnswer: -2833, -10, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13236 is divided by 443?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -17 - -26. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91\/77 + (-6)\/(11 + -5)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, h: 1, n: 1}. What is prob of sequence nhk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 5, p: 1, m: 2, v: 3, l: 5}. Give prob of picking 1 f, 1 l, and 1 v.\nAnswer: 15\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 151020 (base 6) to base 12.\nAnswer: 8470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5370 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together 3 and -1893.\nAnswer: -1890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 - -18. Suppose u = -r + 28, -2*u - 51 = -2*r - 3*u. Let f = -3 + r. Calculate the smallest common multiple of f and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 58*c*q**2 + c*q*s - c*q + 93*c*s + 52*q**2*s + 7*q**2 - q*s wrt s?\nAnswer: c*q + 93*c + 52*q**2 - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*(3 - (-1)\/1). Suppose -t*g - 4*o + 3*o = -27, 5*o = 5*g - 65. Let l = -10010 + 10030. Calculate the remainder when l is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*w**5 - 108*w**4 + 96*w**3 + 330*w**2 - 531*w + 210.\nAnswer: 3*(w - 35)*(w - 1)**3*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 39*h - 5. Suppose 4*o + 3*g - 35 = 0, -2*o - 3*o + 5*g = -35. Is l(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 267247849 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pkkklllp. Give prob of sequence llkp.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 284367 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -2*c**2 - 7*c + 2. Let j(p) = -6*p**2 - 20*p + 6. Suppose 5*x - 4*o - 12 = x, 0 = 2*x + 3*o - 6. Let s be (1\/x)\/((-2)\/24). Give s*j(l) + 11*v(l).\nAnswer: 2*l**2 + 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 2*d - 5*k = 32, 2*k - 8 = 0. Let m = d - 18. Let v = 7 + m. Solve 0 = v*o + o - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 5, -244, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s - 9 = -9*s. Let t(w) be the second derivative of 0*w**2 + 0 - 3\/10*w**5 + 1\/3*w**s - 2\/15*w**6 - 2*w + 0*w**4. Factor t(h).\nAnswer: -2*h*(h + 1)**2*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 549 + 554 + 548 - 1651 + 3528*f as a + q*f and give q.\nAnswer: 3528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*3\/18*(-13702)\/(-403).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*g + 16*g - 28177 = q, 3*g = q + 21134. What are the prime factors of g?\nAnswer: 7043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 439*a**2*m**2*t + a**2*t - a*m**2 + 5*a*m*t - 50*m*t wrt a.\nAnswer: 878*m**2*t + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 42603 and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 505449 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -227 and -0.08?\nAnswer: 226.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 54\/(-351) + -1 + 60\/65.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43 divided by 231.\nAnswer: -43\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-53 - -35) + -5 - 6.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*f**3 - 19*f**3 + 46*f**2 - 46*f**2 + 10*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -32 - -26. What are the prime factors of -1*o\/15*335 + -1?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - 3. Put t, 0, 2 in ascending order.\nAnswer: t, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**2\/5 - 13222202*m - 218533282161005.\nAnswer: -(m + 33055505)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -3*s**2. Let c(b) = 3*b**2 + 4*b + 4. Let r(h) be the first derivative of -h**3\/3 - h**2\/2 - h - 4. Let x(l) = -5*c(l) - 20*r(l). Calculate x(o(a)).\nAnswer: 45*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1003150 to the nearest integer?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -36151.9 to the nearest 1000.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -70*n - 2377. Give g(-28).\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 32 take away 944107726.3?\nAnswer: -944107694.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -21\/8 in -4, 4, 1, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that 2*y**3\/5 - 7446*y**2 - 708092*y\/5 = 0.\nAnswer: -19, 0, 18634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes after 6:25 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the third derivative of q**5\/60 - q**4\/6 - q**3\/2 + q**2. Suppose -3*o + 3*t + 10 = -5, -13 = -4*o - 3*t. Give x(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1165*k + 1165*k + 5*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 3*n**2. Let b = 13457 - 13457. Let f(d) be the third derivative of b*d**3 - 5\/6*d**4 + 0*d - 37*d**2 + 0. Determine s(f(x)).\nAnswer: 1200*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**3 - 10*w**2 - 10*w - 5. Let k be i(11). Find the third derivative of -t**k - 142*t**4 + 9*t**2 + 142*t**4 wrt t.\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 - -2. Let f = 2 - a. Let s(o) = 4184 + 2*o - 2098 - 2088. Give s(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17312072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/10 - (-23716)\/280. Let g be -2*(-1)\/((-2)\/(-17)). Calculate the highest common factor of c and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.6 + -3.6. Let v = 1612\/7 + -230. What is the closest to 0.1 in v, z, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-725)\/870*3\/(-20).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**2 + 2*z - 4. Let v = -20 - -16. Calculate the smallest common multiple of 30\/1*v\/(-10) and g(4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**2 - 4*h + 1. Let u be y(-3). Let n(i) = -i + 4. Let j be n(u). Let w = -188\/3 + 63. What is the second smallest value in 0.1, w, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 9, p: 7, u: 3}. What is prob of sequence fp?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2410 is divided by 1729.\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -4*n + 5*q - 14, 3*n = 2*q + 1. Suppose n*o = -3*o + 948. Let w = 109 + o. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -44070783, -88141567, -132212351, -176283135?\n\"Answer: -44070784*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 380344 is divided by 37.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1364332, 2728669, 4093006, 5457343, 6821680, 8186017?\n\"Answer: 1364337*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -4, 0, -35 in decreasing order.\nAnswer: 1, 0, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1*(-1)\/2 + 27040\/(-64). What is the units digit of (-12)\/(-3) + (-14 - d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -67331, 0, -5\/4 in increasing order.\nAnswer: -67331, -5\/4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1\/3  (b) 15  (c) 1\/4  (d) -2457\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from {u: 2, c: 1, t: 4, i: 8}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 77.9 - 6.\nAnswer: 71.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*c**3\/9 - 16*c**2\/9 - 26*c\/9 - 4\/3 = 0. What is c?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 993, 977, 929, 831, 665, 413, 57?\n\"Answer: -3*d**3 + 2*d**2 - d + 995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i - 9 = -7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 133478680 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = -4*j + 12. What is the second derivative of -2*n**3 - 4*n**j + 2*n**3 - 2*n + 5*n**3 wrt n?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 255051985 divided by -6.\nAnswer: -255051985\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.24 * -201.\nAnswer: -48.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 46, 7, -50, -119, -194, -269?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-1\/14)*q)**(5\/8)*(q**7\/q)**(-1\/50) assuming q is positive.\nAnswer: q**(1289\/2800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express u**2 - 5*u + 285*u**4 - 1 - 13*u + 35*u - 17*u as r*u**4 + g*u**2 + p*u**3 + a + f*u and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i - i**3 + 2*i + 4*i + (-2 + 2 + i**2)*(-2*i - 6*i - 3*i).\nAnswer: -12*i**3 + 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-6) + ((-24)\/(-9) - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xnx when three letters picked without replacement from xxxxnxxxxxxnxxxxxxx?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.134, -4, -0.4 in descending order.\nAnswer: -0.134, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 2*u + 4. Let l be j(-3). Let v = l - -7. Let d = 10 - 8. Solve g - d*g = -v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86*o = 88 - 2. Is -2\/505 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -223*b**2 - 2*b**3 + 223*b**2 + 11*b**3.\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the first derivative of -2*o**3\/3 + 546. Let p(u) = 41*u. What is h(p(l))?\nAnswer: -3362*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -71, -124, -179, -236, -295, -356?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3109797*z**2 - 3109797*z**2 + 6219597*z**2 - 6*z.\nAnswer: 3*z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (-1 + (-3 - -8)) - (-22 + -1).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1166 - -1171. Let n(p) be the second derivative of 0 + 5*p - 2\/7*p**3 + 2\/7*p**2 - 1\/21*p**4 + 3\/35*p**c. Factor n(y).\nAnswer: 4*(y - 1)*(y + 1)*(3*y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2694.\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -55.2995 + -4.7865. Let r = 60.019 + -0.019. Let p = h + r. Round p to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -21 - 310?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/15, -0.5, -2\/15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 8*n + 6. Let p be b(5). What is the tens digit of (-4)\/(-6) + p\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2004161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 2392000 divided by 23\nAnswer: 104000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 5*q = -48, -3*f - 87 + 15 = -q. Let m be 1\/2 - 323\/(-14). Let r = m + f. Which is the nearest to -1?  (a) -1\/2  (b) 3  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t - 2. Let d be m(5). Suppose 0*g + g - 7 = 0. Suppose -d*h + 5 = -g. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5*1.1.\nAnswer: -0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2734290 is divided by 151905.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -5*a**2 - 31*a + 14. Suppose 2*f - 17 + 29 = 0. Let n be x(f). Put 3, 3\/2, 2, n in ascending order.\nAnswer: 3\/2, 2, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p - 7. Let j be q(-6). Let v = 18 - j. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 161425 is divided by 32200?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 4 - 2 + 5*u**2 + 8 + u - 7. Let n be t(0). Solve 3*m + 0*g = g - 7, n*m = -3*g - 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 154367223?\nAnswer: 3, 47, 1094803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Are 466 and 14 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -66*j**2 - 5*j. Let b = 25293 + -25491. Let h(v) = -2607*v**2 - 198*v. Determine b*f(w) + 5*h(w).\nAnswer: 33*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 0 + 2)*(q + 3*q - 3*q) - 4*q + 4*q - 2*q + 7 - 3 + q - 2)*(-138*q + 11027 - 11027).\nAnswer: 276*q**2 - 276*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + p = 1, -2*x - 2*x = 5*p - 5. Suppose -410004 = -o + 4*w, -o + x*w + 5*w + 410005 = 0. What is o rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.3, 0.1, 1, -1\/65, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (920\/(-322))\/(1 - (-244)\/(-224))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3066 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) 0.126  (c) -0.49138\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4173\/7 - -225419\/378. Find the common denominator of h and (-1)\/(-2)*(-196)\/105.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {u: 1, v: 1, i: 2, r: 1, e: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lhl when three letters picked without replacement from lhhlf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -2206, -2192, -2166, -2122, -2054, -1956?\n\"Answer: s**3 + 7*s - 2214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/((i\/(i\/((i\/i**23)\/i)))\/i)*i*i*i**(7\/3))**49)**(3\/26) assuming i is positive.\nAnswer: i**(2156\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -6067924.214 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -181*o**5 - 25*o**3 + 7*o**2 - 50*o + 178?\nAnswer: -10860*o**2 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 6*d + 3. Let r(b) = 7*b + 4. Let t be 1 - 0\/(-1 - -2). Suppose -t + 5 = o. Let z(c) = o*i(c) - 3*r(c). Let w(n) = n. Give w(z(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(1\/7)*w**(-4\/5)*(w\/w**(-3))\/(w*w**(-8\/5)\/w) assuming w is positive.\nAnswer: w**(173\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 + -3. Let t = -18\/7 - -104\/35. Let i = -0.8 + -3.2. What is the smallest value in t, c, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.106799 times 23?\nAnswer: -2.456377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6, 21, 76, 195, 402?\nAnswer: 721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -10*m**2 - 2 - 2 + m**3 + 2 - 3. Suppose -2*v + 70 = 5*v. Calculate i(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*r = -21*r - 52584960. Let o = r + -7076992. What is o rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1622637288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -593, 0, -4, -2, 6, 154, 3 in decreasing order.\nAnswer: 154, 6, 3, 0, -2, -4, -593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -4196 + 4196 + 26*h**2 in the form j + b*h + u*h**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*f + 11*f + 5*f - 14*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-3*(sqrt(1216)*4 + sqrt(1216))*-1)**2.\nAnswer: 273600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -3*n + 6. Let m be w(-7). Suppose 3*r = -3*j - m, 40 = -3*r - 2*j + 9. Let t = 31 + r. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 81999 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + 5 - 9*g + 3 + 2*g + g - 2*g + (3 - 6 + 2)*(-4 + 6*g + 4).\nAnswer: -14*g + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3753800729 to the nearest integer?\nAnswer: 1554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a**4\/3 + 28*a**3\/9 + 14*a**2\/9 - 8*a\/9 = 0. Calculate a.\nAnswer: -4, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 224.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**3 - 16*s**2 + 15*s - 19. Let b(t) = -t**3 - 11*t**2 + 14*t - 20. Let l(c) = -4*b(c) + 3*w(c). Calculate l(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 17 + dcf?\nAnswer: de6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14830, 10, 5, 3, 2, 4 in ascending order.\nAnswer: 2, 3, 4, 5, 10, 14830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 3)*(-5*o + 0*o + o) + o - o - o + (-2 + 2 + 2*o)*(3 + 0 - 2).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes before 7:12 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 835 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 35011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.602 - 0.602. What is the third smallest value in 0.9, k, -4, 1\/2?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 2*k**3 - 3*k**2 + 3*k - 1. Let q be g(2). Suppose 33 = x - q. Suppose -4*j - x = -c, 2*j = -5*c - 2*j + 162. Does 17 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 52 - 40?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 742371103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -289924 - -18.\nAnswer: -289906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 308 and 2167?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 360711 < 360709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*s**5 - 29*s**4 + 26*s**4 + s**5 + (-3 + 3 + 2*s**2)*(2*s**3 + s**3 - 5*s**3).\nAnswer: -7*s**5 - 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10 - -10) + (1 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 16039\/(-6) - (-9 + 12). Let j = -2690 - g. Calculate the common denominator of -25\/18 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.803 + 10.693. Round p to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -607405239 + -0.04.\nAnswer: -607405239.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 912 and 798.\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1996943034 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*h + 284 = -25*h. Let c = 200 + h. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6eab (base 16) to base 5\nAnswer: -1401311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 0*a + 2\/5*a**2 + 0 = 0. What is a?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -22 + 25. Suppose 4*y + h = 271, -c*y - 3*h + 41 = -151. Let z = y + -141\/2. Put z, 0, 1 in ascending order.\nAnswer: z, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the third derivative of -k**5\/60 - k**4\/4 + 2*k**3\/3 - 12*k**2. Determine f(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6)\/(-16) + (-1578239856)\/(-384). Round j to the nearest one hundred thousand.\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -28.47?  (a) 6  (b) -5  (c) 1.96  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5221655 to the power of 1\/2, to the nearest integer?\nAnswer: 2285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -6*(-4)\/132 - 1580\/(-22). Suppose -5*n - l + 45 = 0, 0 = 6*n - n + 5*l - 45. What is the highest common factor of g and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1235363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1633798 and -1.9.\nAnswer: 3104216.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 22*o**2 + 3*o + 1. Let m be v(-2). Let q(d) = -2*d - 247*d**2 + 247*d**2 - m*d**3 - 2. What are the prime factors of q(-1)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 767\/5 + -153. Let u be (17 - (-9 - -15)) + -12. What is the nearest to j in -0.04, u, -3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-7\/3)\/w)**(13\/5) assuming w is positive.\nAnswer: w**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 94972484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x + 4*j - 31, -4*x - 2*j + j + 16 = 0. Differentiate 7*f**x - 20 - 26*f**3 + 12*f**3 with respect to f.\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1255329123 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -401\/416 - -21\/32. Let k = -36 - -145\/4. Which is the second biggest value?  (a) k  (b) t  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2197*i - 3816 = 2303*i for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 3*a**2 - 306*a + 227. Is 13 a factor of b(102)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(1\/4))**(33\/4)\/(a**(-1\/3))**(-4))\/(a**(-2)*a*a**(3\/7)*a)**(-2\/5) assuming a is positive.\nAnswer: a**(1513\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7.3 + 7. Let y = 470 - 412.7. Let a = y + -57. What is the second biggest value in 2\/3, q, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*f + 6 = 33*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 22963 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 199920 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**2\/4 + 952452*o + 907164812304.\nAnswer: (o + 1904904)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2421 - 124*s**2 + 2421 + s**3.\nAnswer: s**3 - 124*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 64 = 3*w, -5*g = -6*w + w + 115. Let r = -2268 + 2292. Let c = r + g. Solve 5*s + 12 = -2*l, -c*s + l - 24 = -0*l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -4*i**2 + 127*i - 9. Determine q(27).\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -135 - -0.22178?\nAnswer: -134.77822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 54 = -5*u, 4*u - 9 = -3*j + 2*j. Let t(w) = -w**2 + 48*w + 22. Calculate the remainder when t(46) is divided by j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 224928 and 984?\nAnswer: 9222048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum 414 and 1277345.\nAnswer: 1277759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(10\/3))**(9\/2)\/(a**4\/a)**13 assuming a is positive.\nAnswer: a**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*v + 2 = 8*v. Suppose 4*d - 18 = 2*m, 0 = -0*d + 3*d - v*m - 12. Solve 0 = -d*f + 2*f + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(204)\/(sqrt(24)\/(sqrt(16)\/sqrt(8))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 109166 is divided by 7168?\nAnswer: 1646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -d**2*k**3 + 3*d**2*k**2*o - 5*d**2*k**2 - 37*d*k**3*o - 2*d*k**2*o - k**2*o wrt k?\nAnswer: -6*d**2 - 222*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*j**2 - 5*j - 2*j**3 - 3*j - 937 + 937 to y*j**3 + n + s*j**2 + w*j and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - p = 3*p, 0 = 5*f - p - 11. What is u in -1\/4*u**f - 9\/4 - 3\/2*u = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f*f*f**(2\/5)*f*f))\/f*f*f**(2\/7)\/f*(f*(f*f\/f**(-4\/7))\/f*f)\/(f\/(f\/((f\/(f*f*f\/(f**(-5\/3)\/f)))\/f))) assuming f is positive.\nAnswer: f**(538\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1512 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.03 in 2\/9, -4, 9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -6 + 4*92\/48. Let f(z) be the first derivative of -8 - b*z**3 + 0*z**2 + 5*z. What is the derivative of f(n) wrt n?\nAnswer: -10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*f**2 - 3*f + 3*f**2 - 10*f**2 - 2 + f - 2*f**3 to the form h*f**2 + q*f**3 + c + x*f and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*o**4 - 3*o**3 + 4 + o**3 + o + 3*o**4 as j*o + z*o**2 + r*o**3 + h*o**4 + x and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 + -5.08. Let j = 0.335 - 0.115. Let i = h - j. Which is the third smallest value?  (a) -2  (b) 0.2  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 312*g - 180. Give v(1).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -5*f**2. Let s(b) = 3*b**2 + 2*b - 2. Let z(q) = -7*q**2 - 5*q + 5. Let h(w) = 5*s(w) + 2*z(w). Determine h(j(y)).\nAnswer: 25*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 39 + 6?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 54.6 and 0.3.\nAnswer: 16.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.05526 - 2.94474. Put i, -1\/3, 0.123, 5 in decreasing order.\nAnswer: 5, 0.123, -1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fhhhhrhhhhhhrhhhfhhr. What is prob of picking 1 h, 2 f, and 1 r?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -32 + -130342341?\nAnswer: -130342423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yffyyyoyyoyfyyoo. Give prob of picking 1 o and 1 y.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1\/326 + -8797\/1630. Let d be (-18)\/(1*45\/12). Let b = d - q. What is the common denominator of b and 87\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**3 - 4*h - 4. Let l(q) be the first derivative of 9*q**4\/4 + 33*q**2\/2 + 33*q + 4. Suppose -99 = -7*k + 10*k. Calculate k*c(j) - 4*l(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1301 - 103?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 222*j - 345703 - 72582 + 38887. Let z = 137 + -83. Suppose 5*y = -5*n + 4140, 3*y + z = -2*n + j. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 97451 is divided by 24354.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 12*i**3 - 33*i**2 - 17*i. Let v(b) = 3*b**3 - 8*b**2 - 4*b. What is 2*q(z) - 9*v(z)?\nAnswer: -3*z**3 + 6*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2c (base 16) in base 10?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least as big as 427\/3403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15419 is divided by 4799?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2\/33  (b) -264  (c) -2\/5  (d) -4  (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 6*z - 40. Let l(c) = c**3 - 17*c**2 + 17*c - 9. Let o be l(16). Let w be t(o). What is the derivative of 0*u**w + 3*u**2 - 21 + 18*u**2 wrt u?\nAnswer: 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20005*h + 3268108 = -471*h + 904494 for h.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1*4\/2)\/(((-66)\/9)\/(-22))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*n, 4*u = 4*n - 3*n - 575. Let z = -103 - u. List the prime factors of z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(((-2 + 1)\/5)\/1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -0*f + 2*f + 53, 5*m = -4*f - 81. Let l = f - -16. List the prime factors of (-4)\/l + (22 - 13).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*a**2 + 4*a**2 - 7*a**2)*((a + a - a)*(-a**2 + a**2 + 3*a**2) + 11*a**3 + 7*a**3 + 2*a**3).\nAnswer: -230*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 35854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are -482 and -482 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (144 - 151) + (1 - (96\/(-20) - -2))?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**3 - 6*f**2 + 3*f + 4. Let i(m) = m**3 + m**2 - m - 1. Let y = -4 + 8. Let k(j) = y*i(j) + l(j). Factor k(c).\nAnswer: c*(c - 1)*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -77072, -153712, -230352, -306992, -383632, -460272?\n\"Answer: -76640*w - 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12 is divided by 7 + -7 + 14\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the second derivative of -2*k + 1\/35*k**5 - 1\/35*k**6 + 0*k**4 + 0*k**3 + 0 + 0*k**2 + 1\/147*k**7. Factor w(l).\nAnswer: 2*l**3*(l - 2)*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -119*p**3*z**2 + p**2*z**2 - 162*z**2 wrt p?\nAnswer: -714*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 218167858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -3*o - 6*h + 71, 57 = 3*o - 3*h. Solve -5*z = 2*y - o, -5*y = 3*z - z for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11638.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 9*c**3 - 19*c**2 + 2*c + 3. Let i(z) = 25*z**3 - 55*z**2 + 6*z + 8. Give -4*i(s) + 11*l(s).\nAnswer: -s**3 + 11*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p + 17 = 4*i, 0 = 3*i + 5*p + 11 + 20 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -6\/11, 6, 1, -2, -4\/9 in ascending order.\nAnswer: -2, -6\/11, -4\/9, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1042*c**6 - 2*c**5 - 26*c**2 - 6 wrt c?\nAnswer: 125040*c**3 - 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the third derivative of -i**6\/120 + 3*i**5\/20 + 11*i**4\/12 + 5*i**3\/6 + 2*i**2 + 893. What is c(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 22 - 22. Solve c*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -57*n - 9. Let h(a) = 29*a + 4. Let v be ((-75)\/100)\/(3\/(-36)). Calculate v*h(y) + 4*b(y).\nAnswer: 33*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -c. Suppose c*s + 5 = s. Let i(f) = 0 + f**2 + f**2 + s*f - 3. Determine i(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-15)\/(-25))\/(115\/(-50)*3)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 65537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 349 and 12325633?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 54189 less than -0.1?\nAnswer: -54189.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -28744*i**2. Let t(o) = -4*o. Determine k(t(q)).\nAnswer: -459904*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1453404118 to the nearest integer?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 10\/(-6)*(39 - 3). Let h(l) = l**3 - l**2 - 4*l - 2. Let g be h(5). Let i = g + v. Calculate the greatest common divisor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1896909*q**3 + 132*q**2 + 2936*q - 2?\nAnswer: 11381454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 49 + 131 = 0. Suppose -280 = 58*n - 48*n. Let t = a + n. Calculate the remainder when t is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-19)\/57)\/(2\/3*(-308)\/2926)?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/6650137 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1502 - -1117. Let b be 1\/(-2) - s\/490. Let r = -4.6 - -5. What is the nearest to 0.1 in b, r, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 364\/297 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1446 is divided by 264?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 70 and 1029840.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 122023 (base 8) in base 3?\nAnswer: 2010121200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2514*m + 33251 + 84907 for m.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1639711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 2 r when three letters picked without replacement from dmmegdermrrf?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -5*s**3 - 4*s**2 - 3*s. Let p be 10\/10*(2 - -2). Suppose l + 10 = -p*l. Is 30 a factor of f(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1401\/(-15) - (110 - 22661\/215)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21637165, 21637164, 21637163?\nAnswer: 21637162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1101011010010110001 (base 2) to base 13.\nAnswer: 125058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (21 + 860\/(-40))*-5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -1.38594 times 0.3\nAnswer: -0.415782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j + o - 65, -372 + 47 = -5*j + o. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -544965.7739 - -544941. Let d = 24.8 + f. Round d to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 130 and 10192?\nAnswer: 50960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Total of 236.6088045 and -0.5.\nAnswer: 236.1088045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1540?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = h - 2*h, -4*r + h + 8 = 0. Suppose -17 + 1 = 4*x. Put x, r, -2 in descending order.\nAnswer: r, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 122976 to the power of 1\/2, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -27, -36, -45, -54, -63?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 28764?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.71 and -3.3?\nAnswer: 2.343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (7*g + 2 - 3 + 0)*(-11 + 11 + g**2) as m*g**3 + i*g + f + l*g**2 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) 3.6  (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6296 is divided by 6227?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**3 + 9*m**2 + 11*m - 7. Let f be n(10). Let s(p) = -2 + p**f - 8*p + 0*p - p**2 - 3*p**2. What is the remainder when 65 is divided by s(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1897971706 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 9, u: 5}. What is prob of picking 2 u and 1 r?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f + 2 - 2)*(-24 - 17 - 16).\nAnswer: 114*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 71126280 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2754 and 27.\nAnswer: 2754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 4*m + 2 = d, -6 = -5*d - m. Which is the nearest to -2\/5?  (a) 2\/9  (b) 8  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + (-7 - -6) + -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3.9556 + 3.69. Let p = -0.063 - 0.207. Let q = p - o. What is q rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.16?  (a) -1  (b) -5  (c) -0.1  (d) 1  (e) -46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -150 - -751\/5. Let l = -2 + 1. Is l <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 + -1.8. Let s = -542 - -317. Let l = -223 - s. Sort l, -2\/11, -0.2, i in ascending order.\nAnswer: -0.2, -2\/11, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes after 8:58 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 44285a4 - -47?\nAnswer: 4428640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 12 + 10 = 0. Let x be i + 0 + -1 - 0. Let n(a) = -5*a**3 + 2*a**2 - 1. Give n(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21988*f**3 + 21994*f**3 - 43986*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 0.2002788 decades?\nAnswer: 2.002788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 20417, 19386, 18355, 17324, 16293?\n\"Answer: -1031*g + 21448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 l, and 1 s when three letters picked without replacement from {f: 1, d: 1, s: 1, l: 5, k: 1, g: 4}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 2*w, -w - 11 = 5*v + 2*w. Let q = -5 - v. What is the units digit of q + 5 - (0 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 21 = -2*n, -4*k + 2*n + 9 = 3*n. Suppose 5*t + 0*t + 75 = 5*b, -2*b + 25 = k*t. Let i = 2 + 3. Calculate the remainder when b is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let w = -961.1 - -913. Let o = 53.1 + w. Which is the nearest to 0.1?  (a) 4  (b) o  (c) -2  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - q = -7838, 2*i - 5*q = -2*i + 7850. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(sqrt(91) + sqrt(91)*-2 + sqrt(91)))\/(sqrt(7) - (sqrt(7) + (sqrt(7) - (2*sqrt(175) + sqrt(175))) + sqrt(7))) + -5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 102 times -0.6\nAnswer: -61.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((158\/(-48))\/(-79))\/(12\/(-18))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-6)*(-7)\/(-14)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110010101000 - -1001101011011?\nAnswer: 10000000000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, 0.5, -11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 21*k**2 - 35*k - 220. What is the tens digit of u(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-2\/7)*k)**2)**(-4\/33)*(k*k**(-3\/7))\/k**(-2\/5)*(k*k**(-1\/3))\/k*k**(3\/4)\/k*k assuming k is positive.\nAnswer: k**(1871\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1633*q + 104657 = 227132 for q.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4238095 to the nearest integer?\nAnswer: 2059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-48)\/(-168)*((-259)\/222)\/((-118)\/(-6)).\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 69886151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 76\/(-12)*(15 - (-9 + 27))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 4 = 5*b. Are 2\/3 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, e: 6, q: 11}. Give prob of picking 1 q and 1 e.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-24)\/(-10)*20\/6. Suppose -u + 27 = x. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 121 and 55.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 4*c. Let w(j) = j**2 + 5*j - 4. Let p be w(-6). Suppose -2*d - p*d = 0. Let s(y) = 4 - y**2 + d - 4. Give s(n(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 284526*((-2964)\/(-18))\/13. Suppose 4*n + 10072875 = 46928859. Suppose a - n = -w. What is w rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**3 - 3*l + 3. Let y be d(2). Let g(u) = 3*u. Let f be g(7). Let k = f + y. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 5 = 5. Suppose 0 = 4*n - 5*g - 4, 4*n - 2*g + g - 4 = 0. What is the nearest to 1\/2 in 3, n, y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18943 - 9634 = 96*m - 18243. Solve 0 = 63*f + m + 28 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 856096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: ((-172)\/272 + 50\/(-425))\/(2\/24)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k - 4*b + 81 = 73, 112*k + 23 = 110*k + b for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -287.8 - -288.8. What is the closest to n in -6, -0.1, -2\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -727*j + 21629 = 6362 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + -2 - (45 - 42).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 + -5 + 2 + -4 + 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(35) + -2*sqrt(5040))\/(-1*sqrt(405)))**2.\nAnswer: 3703\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 224481 or 224874?\nAnswer: 224874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 246467733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-2)\/((-12)\/(-15)))\/(40\/(-96)). Suppose -h*x = -8*x + 6526. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 357 divide 45696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2*(-4)\/40 - 34\/70. What is the fourth biggest value in -0.2, 5, y, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*b + 6*b + 0*b)*(22 + 12 - 5 + (3 - 3 - 2)*(1 - 1 + 1))*(4 - 2 + 0)*(-4*b - 4*b + 4*b).\nAnswer: -432*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 + 50. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 2*h + 2 = 3, 0 = -5*t - 4*h + 19. Let l(u) = u + 21. Let p be l(0). Calculate the greatest common divisor of t and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -335 - -1343\/4. Find s, given that 0 - 1\/2*s - y*s**4 + 1\/4*s**2 + s**3 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -58 - -112. Let i be (4\/(-18))\/(-1) - (-96)\/z. Let f be ((-38)\/(-5) - 2) + i\/5. Calculate the greatest common factor of f and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000201815929 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 - 2)*(452 - 1321 + 869 - 6473*z**2).\nAnswer: -12946*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 157692031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v*v*v**1)\/v)\/(v**(1\/8)\/v)*(v\/(v*v**(-2)))\/v**(6\/7) assuming v is positive.\nAnswer: v**(281\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 45 - 20. Suppose -b = -5*s + 25. What is the greatest common divisor of s and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that 3*w**3 - 98040*w**2 - 392343*w + 4412340 = 0.\nAnswer: -9, 5, 32684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes before 1:11 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -1 + 1 + p - 4. Let r be a(9). Suppose 4*b - 2*d = 48, 0 = 20*b - 19*b + 4*d - 39. Put -1, b, r in ascending order.\nAnswer: -1, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -18\/22865 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Put 0.02183225, 4\/7, -5 in descending order.\nAnswer: 4\/7, 0.02183225, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 40 and 2295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x\/x**(9\/2))\/x**(-1\/4))\/(x\/(((x\/(x\/(x**(-4\/9)\/x)))\/x)\/x*x*x*x))**(-22))**(-23) assuming x is positive.\nAnswer: x**(-23621\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 11344542 (base 6) in base 5?\nAnswer: 42344144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 216\/(-180)*2*25\/(-20). Solve -4*h = r*h + 21 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -682*w**3 - w**2 + 75*w - 8. Let y(q) = 2045*q**3 + 4*q**2 - 225*q + 26. Let i(s) = -4*y(s) - 13*z(s). What is the third derivative of i(t) wrt t?\nAnswer: 4116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 2*q**2. Let g be 32 - (-2)\/(3 + -1). Let w = g + -33. Let x(l) = -440 + 440 - 3*l**2 + w*l**2. Determine d(x(t)).\nAnswer: 18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 282443?\nAnswer: 7, 157, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -91*l - 15 = -94*l. Let j(a) be the second derivative of 1\/9*a**3 + 0 - 1\/30*a**l + 0*a**2 - 3*a + 0*a**4. Solve j(p) = 0 for p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3113?\nAnswer: 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the first derivative of -3*i**3 - 2*i + 21. Let z(h) = -2*h. Calculate z(y(m)).\nAnswer: 18*m**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -26\/7*b**2 + 10*b**4 - 100\/7*b**5 - 40\/7*b - 8\/7 + 104\/7*b**3 = 0.\nAnswer: -1\/2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.48 - 270892312?\nAnswer: -270892314.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -30142 - 23442?\nAnswer: -104134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one tenth of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/(-2)*17664\/16. Calculate the highest common divisor of t and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-2)\/(i**(1\/13)\/i))\/(i*i\/(i**(1\/3)\/i*i))**(-29\/2) assuming i is positive.\nAnswer: i**(1801\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from azazaaaz. Give prob of sequence zz.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2056626 to the power of 1\/2, to the nearest integer?\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1533 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -h - 2*h. Let a(u) = -u**2 + 5*u - 1. Suppose -6*m + 6 = -3*m. Let j(y) = 2 - 3*y + 2*y**2 + m*y - 11*y. Determine h*j(c) - 12*a(c).\nAnswer: 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**3 + k**2 + 35*k + 66. Determine c(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 4*o + 1)*(22 - 22 + 33*o).\nAnswer: -132*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, 18, 4, 3 in descending order.\nAnswer: 18, 13, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1035*r + 57365 = 225*r - 225*r - 604*r for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12458 + 20830. What are the prime factors of b?\nAnswer: 2, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -5*u**2 - 5*u + 1. Let m(c) = 6*c**2 + 6*c - 1. Suppose x = 2*r + 1, 5*x = -0*r - 3*r + 44. Give x*t(h) + 6*m(h).\nAnswer: h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from gdnddddddgdddl?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((sqrt(147) + sqrt(147) + -4 + sqrt(147) + 1 - sqrt(147)) + sqrt(147)) - (sqrt(147) + 0 + 2 - (sqrt(147)*2 + 5)))**2.\nAnswer: -3528*sqrt(3) + 29136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(448) + 2*sqrt(448)*-5 + sqrt(448) - (sqrt(448)*1*-4 + sqrt(448) - sqrt(448)))**2 + 3.\nAnswer: 7171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 88*m**2*o + 18*m**2 + 12*m wrt o?\nAnswer: 88*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -127289, -509153, -1145593, -2036609, -3182201, -4582369, -6237113?\n\"Answer: -127288*z**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 2*d**2 + 5*d - 1. Let p(b) = -2*b**2 - 6*b + 1. Calculate -3*l(u) - 2*p(u).\nAnswer: -2*u**2 - 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 40 - 15. Let r be (-2510)\/f - (-4)\/10. Let h = 140 + r. Calculate the greatest common factor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, m: 1, c: 1, n: 1, k: 2, a: 1}. Give prob of picking 1 k, 1 a, and 1 n.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 34714220294682 + -0.4\nAnswer: 34714220294681.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5.11 - 0.11. Let w = -9 + j. Suppose -2*q - 2*q = 0. Which is the second biggest value?  (a) -3  (b) w  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-63 + -8)\/(4\/(-20)). Solve 0 = b*j - 346*j - 18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*v + 0*v - v**4)*(-164 - 98 - 6 - 64) as c*v**2 + r*v + n + w*v**3 + y*v**4 and give y.\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 52477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42847 is divided by 14233.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -239 + 349. Suppose 156 + w = 14*n. Solve 0 = -c + n - 23 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*t**2 + 429 - 187 + 67*t - 51 - 67*t - 191.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-8)\/2)\/(2 + 0) + 70890 + -3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -49093.75 or -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 132 - 130. Suppose -2*m = -6*m + j*t + 21936, -10974 = -2*m + 4*t. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (d - 5*d + d)*(3*d + 4*d - 3*d)*(5*d - d + 2*d + (1 + d - 1)*(-2 + 5 - 1)) to the form o*d**2 + n*d + a + w*d**3 and give w.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1232 by -616.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**3 - 8*r**2 + 1. Let t be q(-8). Let j be t\/(-5) + 187\/85. Find the third derivative of 0*h**3 - 10*h**3 - 6 + 6 + 4*h**j wrt h.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 42791 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -2*r + 60. Suppose 3*g + r = 8*g. Solve g*o + 9 = 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fgggffggggffgfgggfff. What is prob of picking 2 f and 1 g?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1 + (-22)\/10)*(-400)\/24. Let c be 32\/10 - i\/(-25). Solve c*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate 92162030*l**3 + 148320953.\nAnswer: 276486090*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 936 and 1080?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (60\/26)\/(-15) + (-162)\/(-39)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**2. Let b(n) = 10*n**2. Let u(y) = b(y) - 5*r(y). Let z(i) = -5*i**2. Give u(z(l)).\nAnswer: 125*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2545713 and 2196.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -2*s + 10. Let g be (-3 + 4)\/(1\/s). Let z = -21 - -21. Put z, g, -3 in descending order.\nAnswer: z, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -15*z + 8. Let q(v) = -v + 9*v + z - 4 - 6 + 1. Calculate q(6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (4*((sqrt(605) - (sqrt(605) + -3*sqrt(605) + sqrt(605)) - sqrt(605)) + sqrt(605))**2 - (sqrt(605)*-1 + -1)) + -4.\nAnswer: 11*sqrt(5) + 9677","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b (base 12) to base 2\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*t**2 + 156361030*t + 1222438585133045.\nAnswer: 5*(t + 15636103)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3676, 3870, 4384, 5380, 7020?\nAnswer: 9466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -135*c**2 + 274*c + 4. Let w(q) = -136*q**2 + 275*q + 5. Let x(p) = -5*l(p) + 4*w(p). What is the second derivative of x(t) wrt t?\nAnswer: 262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14703 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - 12, 0 = a + 5*v - 7956 - 7323. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 5) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2013 and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*((sqrt(1536) - sqrt(1536)*-2) + sqrt(1536) - sqrt(1536))*3)\/(sqrt(72)\/(sqrt(9) - sqrt(36)\/sqrt(4)*4)*6))**2.\nAnswer: 139968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1608058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = 2*m - 27. Let o(l) = -l**3 + 7*l**2 + 4. Let i be o(m). Solve -i*v = f - 4, -f + 2 = -4*v - 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-10)\/(-3) - 1600\/4800. Let n be 1*9 + 2*-1. What is the highest common factor of c and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -488 by 122.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2140.6 and -15?\nAnswer: 32109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 25 and 415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 84 + -34. Is d a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 130\/195*(-27)\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + 15. Let y be (4\/(-32)*-12)\/((-2)\/4). Calculate the common denominator of (-1 - y\/24)*(2 - 3) and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is b + 3?\nAnswer: e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3934 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1475388)\/(-48) + 2\/(-8). Is t\/28 + 3\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 164*u - 665. Give n(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - (-1)\/(-2)*(0 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 5 - (4\/3)\/(24\/(165478 - 22)). What is m rounded to the nearest one hundred?\nAnswer: -9200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or 867\/220?\nAnswer: 867\/220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72)*2 + 1 - (-1 + (sqrt(72) - sqrt(72)*-2)) - (sqrt(200) + (sqrt(200) - (sqrt(200) + 0)) + sqrt(200) + sqrt(2) + sqrt(18) + 0))**2.\nAnswer: -120*sqrt(2) + 1804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -120 and 2265?\nAnswer: -271800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 98528788 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 1\/3  (c) -1  (d) -4  (e) 61\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {t: 4, g: 2, u: 1, b: 2, x: 2, m: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4980908178 to the nearest integer?\nAnswer: 70576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yxygudd. Give prob of sequence ydg.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-3)\/(-15) - (-42)\/15)*1. Solve 0*w + 6 = c*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 87673.\nAnswer: 73, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.15, -1, 3 in ascending order.\nAnswer: -1, 0.15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2861837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**2 + 11*i - 24. Give k(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 5, -3\/5, 298, -4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -0 + 27. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.2 - -0.3. Let y = -0.3 + l. Let o = -2 - -2. Which is smaller: o or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1142 - 4240?\nAnswer: -5422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -79 + 69 + 9 + (6 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3*n + n - 2*n)*(-14*n**2 - 9*n**2 + 12*n**2).\nAnswer: -22*n**3 - 11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 5*c + 23. What is t(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k - 1. Let c be a(2). Is (c - 4) + (-22)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 + -344?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 847*p + 10332 = 868*p. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 2*r**3 - 4*r**2 + 6*r + 4. Is p(3) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -114 = 4*v - 23*v. Let o be (10 + -11)\/(v\/(-2400)). What is the highest common factor of o and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3697 by 3.\nAnswer: 3697\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.22  (b) -0.1  (c) 0.1  (d) 0  (e) 109  (f) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/13  (b) 6  (c) 1\/3  (d) -3  (e) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 317355098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20271 divided by 3.\nAnswer: 6757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(1 + sqrt(1700)) - (3*(sqrt(1700) + 1) + sqrt(1700)).\nAnswer: -60*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 14*h + 465 - 465. Let p(s) = -2*s. What is l(p(q))?\nAnswer: -28*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**2 + 6*b - 5. Let l be f(4). Suppose -l*i + 215 = 5. Is (8\/10)\/(4\/i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1032032301 (base 4) to base 13\nAnswer: -b2b09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 166468941 to the power of 1\/3, to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1*4\/2)\/(10*(-55)\/(-55))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5 - 39*w - 55*w + 47*w with respect to w.\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w**3\/7 - 632*w**2 + 1182448*w\/7 + 22740768\/7 = 0.\nAnswer: -18, 562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 - 85. Let v = -81.0099 - r. What is v rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 + 2221002221021?\nAnswer: 2221002221102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -48 by -11.\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vehcvtehvv. What is prob of sequence vh?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*t = 106*t - 170. Solve t*q = 5*k + 5 - 6, -q = -3*k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 + -16 - (27 + -20 - 20)) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 7) to base 10\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33 and 578127.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -421 + 420.87. What is k rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24069.\nAnswer: 3, 71, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 68275 to the power of 1\/2, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 46594816 divided by -1456088?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 + r + 6. Suppose 3*g = -2*g + 4*g. Give d(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3 - -2582.\nAnswer: 2582.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:08 PM and 7:47 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -2*j + 6, -4*j + 5*s - 4 + 13 = 0. Let g = 35 + j. What is the greatest common factor of g and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/((u**(-1\/15)\/u)\/u)*(u*u**2\/u*u*u*u)\/u)\/(u*u**(-1\/2))**(2\/7) assuming u is positive.\nAnswer: u**(727\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4)\/sqrt(2) + -3)**2 + sqrt(20)\/(sqrt(10)*2).\nAnswer: -11*sqrt(2)\/2 + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -25*f**3. Let w be a(1). Let z = 27 + w. Are -3 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 5*a = -198, 3*o + 5*a - 69 = 2*o. Calculate the remainder when 533 is divided by o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 113 - 111. Suppose 4 - 8 = -o*n. Solve -5*j + 18 = -n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10383809 is divided by 16074.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from soo. What is prob of picking 1 o and 1 s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7 + 30*a + 0*a + 9*a - 6 to the form m*a + t and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2285 + 1.\nAnswer: 2286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -181.085876 rounded to the nearest integer?\nAnswer: -181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 211121557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/16 of a millennium in months?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1*-2)\/(1 - 0). Let o be (p\/(-4))\/((-1)\/(-12)). Let q(c) = 695*c**2 - 4*c + 4. Let z be q(o). What is z rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -772, -2917, -6478, -11455, -17848?\nAnswer: -25657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -26 + 50554055?\nAnswer: 50554027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 18 and 904329.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the first derivative of h**3\/3 + 15*h**2\/2 + 9*h + 8957. Let g = -8 + -3. Determine l(g).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -11 + 11 + g. Let d(i) = 13*i. Calculate d(v(m)).\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1030 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 2264 divide 799192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 57 - -18. Calculate the highest common divisor of c and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -4 - (-4 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the third derivative of c**5\/30 + 2*c**2. Let z(g) = 6*g - 3*g - 2*g. Determine z(j(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 4*r. Let x(n) = -2*n + 2. Let a(j) = j**2 - 3*j + 3. Let s(c) = -4*a(c) + 6*x(c). What is s(h(f))?\nAnswer: -64*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/(-12) - 0)*(-837)\/(-558)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -15*i**2. Let t(p) = 21 - 2*p + 3*p - 13 + 4*p. What is t(a(j))?\nAnswer: -75*j**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -132 + 1665. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-35)\/532*(-2)\/10. Let y = -69\/532 - s. Sort 1\/4, -1, y.\nAnswer: -1, y, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-6*sqrt(108)\/(sqrt(6)*-4))\/((sqrt(729) + (sqrt(729) - (1*sqrt(729)*3 + sqrt(729))))*1).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30041173 is divided by 1315.\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 390541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 113 divide 122277530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.7 - -1.7. What is the biggest value in -2, x, -3\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i**3 + 7*i**3 + 8*i**3)*(14*i + 32*i - 3*i) + i**2 + 4*i**4 - i**2.\nAnswer: 563*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -496 + 128 = -16*g. What is the remainder when 81 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((3\/4)\/(-1))\/(3\/(-12)). Determine x so that -4*x**a - 3*x**2 - 4*x**2 - 2*x + 11*x**2 + 2*x**2 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -91728800 to the nearest one million.\nAnswer: -92000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 48511 and 2363?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5314 - 5224. Solve 13*k = r - 129 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 6165*k + 271575. What is r(-44)?\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 332.53 - -48.945. Let b = 381 - m. What is b rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -q + 27. Let c = 38 + q. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -677 + 5025. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*3*(sqrt(4212) - sqrt(4212)*-2*2))\/((sqrt(1296)*-2)\/sqrt(9) - sqrt(8)\/sqrt(2)*5*5).\nAnswer: -810*sqrt(13)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5a7b - 2c?\nAnswer: -5aa7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x - 15*x - 7*x)*(3*x + 2*x - 4*x)*(1 - 1 + 2) - 2*x**2 + x**2 + 4*x**2.\nAnswer: -43*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 12749628 or 12749631?\nAnswer: 12749631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 5*j - 4 = 0, 5*i = -j + 9 + 1. Let q = 6 - i. Let x = 9 + q. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 + 42385?\nAnswer: 42381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2*9\/30)\/(10 - 459\/45). Which is the second biggest value?  (a) i  (b) 1  (c) 5  (d) 76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10 + 5. Let f = o + -13. Find d, given that 3*d**3 - 27*d**f - d**5 - 22*d**2 + 47*d**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -3*s + 15. Give d(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1744\/9 - 194. Let r = -77 - -101.7. Let c = -24.9 + r. Put n, c, 10, 5 in decreasing order.\nAnswer: 10, 5, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 271*d - 291*d + 56 - 2*d**2 + 3*d**2. Let x be w(17). Solve 0*o = -5*o - x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 5, u: 7, q: 4, x: 2, z: 1, m: 1}. Give prob of picking 2 u and 1 x.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -6498.768 rounded to the nearest 100?\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 345\/39 + 8\/52. Suppose 0 = -q - 3 + h. Let t(o) = -8*o**3 + o**2. Calculate the remainder when t(-1) is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 14 = 3*y, -12 = -y - 4*p - 0*p. What is the remainder when y is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 50, 156, 432, 962, 1830?\n\"Answer: 14*u**3 + u**2 + 5*u + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 183, 368, 553, 738?\n\"Answer: 185*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 33 + -37. Let b be 219\/146 - (-133)\/(-86). What is the third smallest value in 3\/7, b, x?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 - -1131321211?\nAnswer: 1131321221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -468*r**2 - 23?\nAnswer: -936*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -340 + 342. Suppose -4*s = 0, -l*s + 3015 = 5*c - 725. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the first derivative of 3*c**2\/2 + 3*c + 359. Let u(r) = 4*r + 2. Give -3*o(v) + 2*u(v).\nAnswer: -v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1*-22)\/(-1) + -3. Which is smaller: a or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 4*s + 62 = t, 3*t - 156 = -5*s. Suppose -l - 4*v + 2*v + s = 0, 3*l + 3*v - 78 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*t + 20*t + 24*t - 4*h - 26 = 22, t - 5*h + 3 = 0 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*f - 9 = 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q**5\/2 - 451*q**4\/2 + 22926*q**3 - 955800*q**2 + 17565984*q - 114773760 = 0. Calculate q.\nAnswer: 15, 36, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -2*o - 8. Let t be p(-6). Let k be 3 + 5\/(10\/t). Let u(y) = 5*y - 4*y + 1 + k*y**2 - 2*y**2 - 2*y. Calculate u(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, u: 6}. What is prob of picking 1 y and 2 u?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2408 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -127*q**2 + 6*q**2 + 107*q**2 + 3*q**2 - 27 + 3*q**2.\nAnswer: -8*q**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45208?\nAnswer: 2, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -2*v + 9160, 5*o - 6*v - 11451 = -8*v. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r**4\/4 - 6357*r**3\/4 - 3177*r**2\/2 + 3178*r = 0. Calculate r.\nAnswer: -6356, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 + 33a8?\nAnswer: 33a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -2 - -16812250.31\nAnswer: 16812248.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -197\/13672680 and -7\/519276.\nAnswer: 1490322120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v + v + 12. Let y = v - -2. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**2 + 76*h - 255. What is b(5)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 2*b + 6 = 0, 292 = 4*c - 4*b. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5530 - -5530. Which is the second smallest value?  (a) -4  (b) d  (c) 1310\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -28, 73.\nAnswer: -28, -4, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -600385 divided by 21.\nAnswer: -600385\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 58961192 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*h - 85*h + 50*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (3 + 2 + -3 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - 32 - (-32 - -2 - (161 - 180)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -34\/2898741 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 + 23089?\nAnswer: 2308a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -101a72 - 11a0?\nAnswer: -103052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 13) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 3*f. Let b(l) = -7*l + 3. Let i(p) = -6 + 21*p + 1 - 3. Let t(g) = -8*b(g) - 3*i(g). What is t(z(a))?\nAnswer: -21*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.11 + -0.01. Let n = -1 - -0.8. Which is the closest to n?  (a) h  (b) -5  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2775423603 from -0.3.\nAnswer: 2775423602.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the second derivative of i**3\/6 + 7*i**2\/2 - 12*i. Give k(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 890 (base 15) to base 7.\nAnswer: 5433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*d - 2 + 11 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 18*l - 1. Let c be b(1). Solve -4*d - 2*n = -5*n - c, -2 = 5*d + 4*n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 64 and 608.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 8724 times 338?\nAnswer: 2948712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Total of -19.48664028 and -0.2726.\nAnswer: -19.75924028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -88*s - 109*s + 56*s - 96*s.\nAnswer: -237*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 + 2. Suppose 0 = -2*f + o, -4*b - f + 3*f - 12 = 0. Let d be 3 - 3 - 8\/b. What is the highest common factor of 72 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 330*g - 330*g + 61*g**3.\nAnswer: 61*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-2) + (170\/(-80))\/(-17)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + -1 + 132\/20 + -3.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4\/9 - 16\/9*n**4 - 2\/9*n + 10\/9*n**5 - 8\/9*n**3 + 20\/9*n**2 = 0. What is n?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2830739*i + 2747211*i - 1583378*i.\nAnswer: 3994572*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-34*i**2 - 6 + 4 + 28*i**2)*(33*i + 16 - 16).\nAnswer: -198*i**3 - 66*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -20 - -35. Suppose -5*m = a - 35. Suppose -3*r + m = -r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(480))\/(sqrt(490)*2) - -6*sqrt(432)*-1*-1.\nAnswer: 500*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 + 535 = 4*s. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + s = 16, -s = -m - 3*s + 12. Suppose -m*d + 19 = -13. Let a(k) = 2*k + 12. Let l be a(-2). Calculate the highest common factor of l and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2142 divided by -4.\nAnswer: 1071\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -6603, -6603, -6601, -6597, -6591, -6583?\n\"Answer: w**2 - 3*w - 6601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14 + -16. Let a be ((-12)\/8)\/(r\/4). Let f = 0.1 - 0.3. What is the third biggest value in a, f, -1\/6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 28 + -13 + -19 + -5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 3 + 3*j - 4)*(j - j**2 - j + (1 + 1 - 4)*(2*j - 2*j + j**2)) as n*j**3 + i*j**2 + b + p*j and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 75*p**2. Let o(b) = -786529*b. Give o(m(z)).\nAnswer: -58989675*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/30*(-612)\/6426?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y - 14 = 2*n + y, 0 = -5*n - 5*y + 35. Solve -5*x - 3*w + n = 0, 4 + 1 = -3*x + 5*w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 38 - -16. Let j = -8 + d. List the prime factors of j.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**3 - 38*j**2 - 172*j - 77. Determine u(-33).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 + 19 - k - 17.\nAnswer: -k - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (259\/(-35) - -7)*-5. Does 9 divide (a*(8 - -1))\/(2\/68)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 364 and 4330872.\nAnswer: 4330872","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 - 0.1. Let s = 46 + -46. Which is the closest to s?  (a) q  (b) -0.4  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 530.5723 kilograms in milligrams?\nAnswer: 530572300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 6\/5  (b) -0.5  (c) -1  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1616989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 14 in -11, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3952702 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-8)\/(-22))\/(14\/77) + 0. Suppose -3*u = -w + 15, -5 - 5 = -4*w + 2*u. What is the nearest to 0 in w, s, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 1560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 64\/77 and -15 - 339*160\/(-3696)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 13\/4 of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 + -4.48. Let z = o - 0.02. Let m = -2.74 - -0.74. Which is the third biggest value?  (a) -4  (b) z  (c) 0.4  (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 148 + -148.35. Let n = -0.75 - o. Which is the third biggest value?  (a) -28  (b) -4  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6621744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 32 and 264.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*d + 5*f - 213 = 22*d, -5*d = 4*f - 329. Solve 0 = -d*a + 102*a - 164 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10120 - 11?\nAnswer: -10201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -25*v**3 + 5*v**2 - 17*v - 33. What is the units digit of j(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 235, 225, 209, 187, 159?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 835 and 1357550?\nAnswer: 226710850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -47254 (base 14) to base 10.\nAnswer: -173338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.36, 447\/23, -4\/27?\nAnswer: 447\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -2*o + 1237, -3*o + 1465 = 4*j - 418. Calculate the greatest common factor of 138 and o.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 940 and 188282.\nAnswer: 1882820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**4\/9 - 128904*j**3 + 168237122024*j**2\/9 + 74773601088*j + 672967050368\/9.\nAnswer: 2*(j - 290036)**2*(j + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -34\/3  (b) 0.19  (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 142 divide 37815681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64 is divided by 63.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 131024 divided by -131024\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**2 - 2*p**2 - p + 4*p. Let n(l) be the first derivative of l**3 + 23409. What is s(n(o))?\nAnswer: -9*o**4 + 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 5*c - 2*m + 26 = 0, 3*m = 9. Suppose c*h = -3 + 191. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -94 + 61 = -7*u + 3*o, -4*u - 30 = -18*o for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y - 3*y = -2*l + 18, 4*y - 4*l = -12. What is the first derivative of -2*v**2 - v**2 + 5 - 4*v**y wrt v?\nAnswer: -14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*c - 7*c. Let m = -467 + 472. Solve c = 5*g - 2*h + 15, -3*g - 4*h - 14 = -m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1550?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 40 and 141992?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 92 + (-16)\/8 + 1 + 1. Suppose -h = -12*t + 184. What is the remainder when 64 is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y - 6 = -2*w - 4, -3*w - 2*y + 3 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (16*y - 787*y - 1761*y)*(y + 3 + 2 - 6) to h + i*y + c*y**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3333 - 1869. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*n + 38*n = 960. Let w = n + -79. Solve w = 2*f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 2*p = 2 + 4, 5*p - 9 = 2*f. Let k = 4.1 + -1.8. Let i = 2 - k. What is the third smallest value in 5, i, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/72  (b) -10  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*i + 0*i + 2*i + (-3 + 2 + 3)*(-3 + 3 - i))*(93 + 110 - 314).\nAnswer: 444*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**3 - 9*t**2 - 1. Let b = 262 + -258. Suppose 4*n = b*f + 28, -2*n - 3*n = -4*f - 37. Calculate v(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-1)\/1)\/(-2))\/((-53)\/((-6678)\/(-21)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 434 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -849821928*k - 147313431 wrt k.\nAnswer: -849821928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-147)\/35)\/(2 - 27\/15). What is the units digit of f\/(-2 - -2 - 0 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 3*y**3\/2 + 419*y**2\/2 - 500*y - 426 = 0.\nAnswer: -142, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 381597150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 4, -8, -24 in decreasing order.\nAnswer: 4, -2, -8, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -0.5, -206, 2\/9, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.011324 to 4 dps.\nAnswer: 0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhrhpqhrhhhphqpqqq. Give prob of sequence pqp.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 139579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + t + 2169 = 0, 3*k = 2*t - 301 + 1601. Let m = k + -387. List the prime factors of m.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.087, 3\/4, 122, 0?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 - 8*t**2 + t + 3. Let k be g(8). Suppose -4*j = -12, 5*w + 4*j = 5*j + 57. Which is smaller: w or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -50*k**5 + 25*k**5 - 8*k + 2*k**3 - 2*k**3 wrt k?\nAnswer: -500*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11879\/28930 + -2\/1315. Let n = -4283\/700 + 12\/175. Calculate the common denominator of t and n.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-24)\/(-15)*(-275)\/(-10). Let z be 1\/(0 - 2\/(-6)). Suppose -z*d = d - b. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5830049237?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 26*o + 6*o + 4608. Let j be 43302 + (o\/9)\/8. What is j rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -7*i**2 - i. Let a be g(-1). Let h be (-12)\/(-9)*a\/(-20). What is the third smallest value in 0, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37c293 (base 13) in base 11?\nAnswer: 836263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z - 166. Let w be u(0). Let g = -15377 + 338365\/22. What is the common denominator of g and (4 - 2) + w\/(-24)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7\/15 less than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1531 - -2215. Let q(p) = -4*p - 40. Let d be q(-12). Let z(r) = 684 - k - d*r. Let b(l) = -2*l. Calculate b(z(c)).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 + -59500950.\nAnswer: -59500950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 3*a - 4 = 0, -3*a - 2 = 4*l - 0. Suppose -2*m - 4 = -m + 3*p, -5*m + 37 = -4*p. Put l, m, 4 in decreasing order.\nAnswer: m, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 3*r - 6. Let n be f(3). Solve s + 4 = n*h, -4*s - 19 + 3 = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 2*v + 2. Let p = -24 - -28. Let d(x) = -6*x - x + 3 + 0 + 5*x. Let h(m) = -3*m + 4. Let g(k) = p*d(k) - 3*h(k). Determine i(g(u)).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**1)**38*n**4\/(n*n*(n*(n**(1\/7)\/n)\/n)\/n) assuming n is positive.\nAnswer: n**(559\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:04 AM and 5:14 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.4 - -0.1. Let r(a) = 3*a**2 + a + 1. Let s be r(-1). Let g be s\/(-2)*50\/15. What is the third biggest value in 2\/5, g, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (22 + 6 - 8)*(0 + 0 - 2)*(6 - 3 + 9)*(-83*y + 83*y + 12*y**2).\nAnswer: -5760*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t + 20 = t. Let z = t + 7. Suppose -97 = -z*x + 11. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 - -3. Let u = d + 2. Which is the closest to u?  (a) 0  (b) 2\/11  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (29\/((-87)\/18))\/((-6)\/4). Let m(w) = -w**3 + 5*w**2 + 2*w - 12. Let p be m(z). What is the highest common factor of 492 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1242787357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7 or -689\/113?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 74945 + 2.711.\nAnswer: 74947.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 + 5 - -5) + -17 + 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -49\/18 and -21\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -203110 + 22033?\nAnswer: -121011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 21*k**3 - 3*k**2 - 5*k. Let y(s) = -20*s**3 + 2*s**2 + 4*s. Determine -2*i(a) - 3*y(a).\nAnswer: 18*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-24)\/(-270)*9)\/((-52)\/10). What is the nearest to 6\/5 in 5, 1\/4, x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**2 + 3*w + 1. Suppose 0 = 2*q + 3*q - 3*v - 107, 4*q - 60 = -4*v. Calculate the remainder when q is divided by j(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.039  (b) -0.02  (c) 3  (d) 0.4  (e) -3\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22176 (base 9) to base 5.\nAnswer: 432410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 104790062, 104790052, 104790044, 104790038?\n\"Answer: z**2 - 13*z + 104790074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**2 - 9*v - 6. Let m be q(8). Let h = m + 26. Calculate the highest common factor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 3, n: 2, f: 2, c: 6, p: 1}. Give prob of sequence fxpf.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7\/10 - 2\/15. Which is bigger: l or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17792364179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12975 + 17026. List the prime factors of b.\nAnswer: 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/2760 and -29\/956.\nAnswer: 659640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w + 45 = w. Is (-2 - (-363)\/w)*-3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/18)\/((-28)\/(-8) + 2 + -6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 425*b - 457*b + 788*b + 1075 + 469*b wrt b.\nAnswer: 1225","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 6*z - 12. Let i(b) = 2*b - 2 + z*b - 3*b. Suppose 2*q + 4 = -4*u + 5*u, 5*u = 2*q + 12. Give i(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -3, -2\/7, 0.02.\nAnswer: -3, -2\/7, 0.02, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from nnbbnbbbnb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 172842*s**3*t - 4*s**2*t - 5*s*t - 82440*s - 4 wrt s.\nAnswer: 1037052*s*t - 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10001 (base 2) to base 13.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 286139 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**3 - 17*r**2 - 17*r - 23. Determine f(18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 475 divide 15346300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2000 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 27133, 51261, 75399, 99547, 123705, 147873, 172051?\n\"Answer: 5*b**2 + 24113*b + 3015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1165 = -4*n + 2*r - 1135, 5*n - 5*r - 50 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13 + 13. Let i(u) = -3 + u**2 + 53*u - 25*u - 29*u. What is i(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -196 or -1380\/7?\nAnswer: -196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -1784*j - 19714. What is o(-11)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 109*f - 336 - 645 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4043 (base 14) to base 11.\nAnswer: 8322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 691866797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 + 235234?\nAnswer: 235234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4629, 9275, 13921, 18567, 23213?\nAnswer: 27859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 196 = -3*l, -6*i - 2*l = -i - 245. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**2 + 16*n - 15. Let q be l(-17). Suppose 6 = z + 5*a, -z = -2*z - q*a. Let u be (-12)\/(0 + 3) - z. Solve d = u, -3*d = -c - c - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -41 - -47. Suppose -j + 2 = -2*r. Suppose -v - 2*i + 16 = -61, -r*v = 3*i - 155. What are the prime factors of v?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ayrri. What is prob of sequence ra?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -3  (b) -606  (c) -1  (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 17 + 5\/2*m**2 - 171\/2*m.\nAnswer: (m - 34)*(5*m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 283\/(-10)*-2 + 20\/50. Let t = 55 - l. Let z = t + 29. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -3*u - 1053, -u + 1073 = 5*l + u. Suppose 4*o + l + 27 = 0. What is the tens digit of o\/(-40)*184\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:42 PM and 10:17 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -66 by -3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the second derivative of -3\/10*w**5 - 1\/6*w**4 + 2*w**2 - 1\/15*w**6 - w + 0 + w**3. Factor t(d).\nAnswer: -2*(d - 1)*(d + 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 63710 = -5*f, -13*f + 13054 = 5*w - 66545. List the prime factors of w.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 3*z + 30 = -143, -3*t = 4*z - 128. Let i = t - -35. What are the prime factors of i?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -3*a - 10. What is m(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n = -2*n + x - 6, -5*n + 5*x - 15 = 0. Let j be n + 5 - 5 - -3. Let i be j\/(-2) - (-62)\/(-2). Is i smaller than -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 858?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 3*z + 14 = 0, 3*y = 2*y - 2*z. Let l(a) = -a**2 - 2*a - 1. Let i be l(-3). Let n = i - -1. Which is greater: y or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 403147521 and 447941690?\nAnswer: 4031475210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 6 = 2*p, -2*j - 2*p + 5*p + 9 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -5*p - 3. Let u(w) = -w - 1. Let i(t) = -t. Let h(c) = -4*c + 4. Let o(d) = -h(d) + 3*i(d). Let a be o(5). What is a*g(r) - 4*u(r)?\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes before 3:06 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -6*(sqrt(405) + -1*(sqrt(405)*2 - sqrt(405))) + 3)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -107, 5, 2 in descending order.\nAnswer: 5, 2, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*n + n = -18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 20329801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*r**5 - 7951*r**3 - 10*r**2 - r - 16104485 wrt r.\nAnswer: -80*r**3 - 47706*r - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4200.94 and -7?\nAnswer: -29406.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*k + k + 5*k)*(-1970*k + 1109*k + 2*k**2 + 1215*k)*(-2 + 0 + 1).\nAnswer: -4*k**3 - 708*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 942467559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.85 + 25.15. Let b = f + -21. Let x = 4.8 - 5. What is the third biggest value in x, -0.3, b, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand 0*v**3 + v**4 + 0*v**3 + 3*v**4 - 12*v**4 - 3*v**4 + (-2*v**3 + 1 - 1)*(-v + 2*v + 0*v) - v**4 + 0*v**4 + 2*v**4 + 5*v**2 + 115*v**4 - 2*v**2 - 109*v**4.\nAnswer: -6*v**4 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 26810 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 3*f**2 + 2*f + 16. Determine k(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (9 - 2)*-1 - 66\/(-9)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 239*k**3 + 131?\nAnswer: 717*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 300*s - 3009. What is g(6)?\nAnswer: -1209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that v**2 + 13311778*v + 44300858380321 = 0.\nAnswer: -6655889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 75 and 28569725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.05 + -0.15. Let a = -1.56 + 0.66. Let j = z + a. What is the smallest value in j, 29, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 9.03816kg?\nAnswer: 9038160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -2007?\nAnswer: -2007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -770*r + 862*r + 4968 for r.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 4*m**5 - 2 + (-1 + m + 1 + (2 + 7 - 1)*(2*m - m - 2*m))*(0*m**4 - 3*m**4 + m**4).\nAnswer: 10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m - 5 + 5)*(-m**2 + 10 + 3*m**2 - 3*m**2).\nAnswer: -m**3 + 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -5, 0.1, 3\/8, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 2*q**2. Let w(l) = 12*l**2 - 5*l + 5*l + 7*l**2. Determine m(w(r)).\nAnswer: 722*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1233487125?\nAnswer: 3, 5, 13, 19, 23, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9542559?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*v + v. Suppose v*y - 6 = -18. Let k be (-4)\/(-2) - (y - -2). Solve -4*n = -3*r + 9, 1 = k*n + 3*r + 16 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**3 + 8*a**2 - 6*a + 10. Let w be v(7). Suppose -w*m + 18*m - 40 = 0. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g + 1511 + 484. Calculate the highest common factor of 35 and g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2d6a0 (base 14) to base 10.\nAnswer: -113820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k\/((k*k\/((k\/k**(-2))\/k*k)*k*k)\/k*k*k)*k)**(-2))**(2\/53)\/((k**0)**(-31)*k*k**(-2\/5)*k*k**(2\/7)) assuming k is positive.\nAnswer: k**(-3638\/1855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 96117 divided by 13731?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*h**2 - h**3 + 5*h**2)*(-h**2 + 2*h**2 + 0*h**2) + 260 - h**4 - 260 + h + 195*h**5.\nAnswer: 194*h**5 - h**4 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*a**3 + 5*a**3 + 8*a**3.\nAnswer: 33*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 49 and 3023272.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 2*n - 6, -2*n - 3*r + 1 = -15. Let j = -1792\/11 - -161. Let g = j - -95\/44. What is the closest to g in n, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 5) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the first derivative of 1\/30*p**6 + 10 + 0*p**2 - 27\/5*p**3 + 0*p - 19\/25*p**5 + 99\/20*p**4. Find b, given that w(b) = 0.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 3*l = 60. Suppose n - 4*n - 3*v = -l, n - v + 4 = 0. Suppose 2*m - 4 + 0 = n. Solve -i + 1 = -m*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9959 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 301 (base 4) to base 7.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 167, 334, 501, 668?\n\"Answer: 167*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 33*f**3 + 10*f**2 - 83*f + 116. What is the remainder when 1788 is divided by z(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**3 + 36*c**2 - 157*c - 18. Give q(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(2\/9)\/b*b*b)\/(b*b**(-4)))\/(b**(1\/6)\/b**(-2\/9)) assuming b is positive.\nAnswer: b**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7863 + 8344. Does 62 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*x = -97071 + 992284. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -283076009 - -0.74\nAnswer: -283076008.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -29 + 24. Let b = g - -40. Let t(s) = -85*s**3 - 50*s**2 + 85*s + 85. Let o(j) = 5*j**3 + 3*j**2 - 5*j - 5. Let u(a) = b*o(a) + 2*t(a). Factor u(r).\nAnswer: 5*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 4, m: 1, l: 8, b: 5}. What is prob of sequence bl?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -6*s + 20. Let u be s\/(-22) - 4\/(-22). Suppose 5*k = -4*h + 21, -k + 0 + 7 = -2*h. Sort 3, k, u in descending order.\nAnswer: k, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/12 and -51\/28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3002 (base 5) to base 13.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/9 in 5, 6, 39, -3, 8\/12523?\nAnswer: 8\/12523","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 3 - 3*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -4*g + 4*g**3 + 5*g - 5*g + 5*g. Let v be c(1). Suppose 2*j - v*n - 6 = 0, -2*j - j + 5*n = -9. Solve 5*h - 2*h = -j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5319 by 9.\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 39010 to the nearest 100.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7536.3156 milliseconds to days.\nAnswer: 0.000087225875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 156958337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-85)\/(-20) + 3\/4. Differentiate -s*d - 1 + 2*d - 4 + 1 wrt d.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 514793436 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 31821330*z**4 - 13*z**2 + 2089*z - 54 wrt z?\nAnswer: 763711920*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 11110 (base 2) in base 6?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8*i**3*n + 4*i**3 + 2*i**2 - 154*n wrt i.\nAnswer: 24*i**2*n + 12*i**2 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**3 - 17*a**2 + 3*a - 23. Calculate the remainder when h(17) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 4*t = 1. Let d(g) = 14*g**2 - 5*g + t - 2*g + 6*g. Is d(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**3 + 18*y**2 - 7*y - 5. Let i(b) = -b**3 + 4*b**2 - 1. Determine 3*i(j) - v(j).\nAnswer: -2*j**3 - 6*j**2 + 7*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-4\/5)*x\/(x\/(x\/(x**(-7)*x)))*(x\/(x\/x**6))\/x**(-5)*(x**(1\/10)\/x*x\/x**(-1\/4))**(-4) assuming x is positive.\nAnswer: x**(79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**3 + 278*h**2 + 1618*h - 3944. Calculate b(-272).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 7364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 times -400.78?\nAnswer: 80.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1721401562.\nAnswer: 2, 860700781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 94 is divided by 89?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-48)\/(-28) + (111\/21 - 5). Let i be 20\/8*k - 3. Solve -45*c = -44*c - i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -24*q**3 + 2*q**2 + 506*q - 509. Give h(1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 36415 - 36416. Which is the closest to -2?  (a) p  (b) 10  (c) 0.2  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a586c9 (base 14) in base 2?\nAnswer: 10101010101101000011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-45)\/(-5) - (-36)\/(-6)) + 5094?\nAnswer: 3, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 (base 12) to base 5\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*b - 2*b + 28 = -8*x, 0 = 2*b + 14 - 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 352513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 748, -4, 4, 0.\nAnswer: -4, 0, 4, 748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 29*r**2 - 17*r - 14. Let h(i) = 34*i**2 - 9*i**2 - 5*i**2 - 9*i**2 - 9*i**2. What is t(h(v))?\nAnswer: 116*v**4 - 34*v**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 8, f: 2, p: 2}. What is prob of picking 2 p, 1 m, and 1 f?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - -185186.7.\nAnswer: 185190.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 504*j**5 - 3823*j + 3821*j + 25 + 16 wrt j.\nAnswer: 10080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3814356079.\nAnswer: 17, 193, 1162559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*f + 21*f + 0*f)*(8*f - 10*f - 14*f - 10*f).\nAnswer: -312*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81*m**5 + 1620*m**4 + 81*m**3 - 1632*m**2 + 228*m + 240 = 0. What is m?\nAnswer: -1, -1\/3, 2\/3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -57*a**2 - 11*a + 227. Let m(f) = 112*f**2 + 24*f - 455. Let t(n) = 4*m(n) + 9*r(n). Find the first derivative of t(g) wrt g.\nAnswer: -130*g - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 4*u - 18. Solve -u = -l + 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/4*(-40)\/(-15)*6. What is the second derivative of -21*x + 23*x**3 - 2*x + g*x wrt x?\nAnswer: 138*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2365 and 385.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 22623 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -4 - -5 - (7 - 5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2220002?\nAnswer: 2, 151, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 6\/5 of a day?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {m: 1, b: 1, j: 4, u: 5, s: 7, l: 1}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1002075012*b**4 - 2011*b**2 + 25404*b + 2?\nAnswer: 24049800288*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.560227*-32\nAnswer: -17.927264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -26709, -106639, -239857, -426363, -666157, -959239, -1305609?\n\"Answer: -26644*p**2 + 2*p - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3706 by -1853.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 160731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 5 - -4 - (8 + -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*g - 20 = 16 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 2 q when four letters picked without replacement from {p: 9, o: 2, f: 3, q: 2}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/454398 and -22\/13611.\nAnswer: 5907174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m**2 + 4*m**2 - 3*m**2)*(0 - 2 - 2*m + 6*m).\nAnswer: -4*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -5*g**3 - 6*g**2. Let x(y) be the second derivative of y**5\/10 + y**4\/6 - 20*y. Calculate 3*k(n) + 8*x(n).\nAnswer: n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 161 (base 7) to base 10.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 85 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -186*r + 376 + 1298 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 860 = w + w. Let s = w + -219. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lullvluurrvruuxuu. Give prob of sequence xuu.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o = 4*k + 16, 0*k + k = 5*o + 17 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2200.2 and -11.\nAnswer: 2189.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4448*g**2 + 12649*g wrt g.\nAnswer: 8896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1712 - -1798. Calculate the remainder when p is divided by 83.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -27 and -5117.\nAnswer: 138159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:25 AM and 3:08 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 31 and -243862642069?\nAnswer: 243862642100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -22*r. Let o(b) = 16*b + 13. Let w(u) = -5*u - 4. Let t(c) = -3*o(c) - 8*w(c). Let j(h) = -7*h - 6. Let i(g) = 7*j(g) - 6*t(g). Calculate z(i(n)).\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*s - 1405 - 135 = 15*s for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 3163986, 3163982, 3163978, 3163974, 3163970?\n\"Answer: -4*h + 3163990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -0*f + 15. Suppose f*z = 17 + 13. Solve k - z*k - 2*p - 16 = 0, 4*p + 6 = 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 938.797 to the nearest 10.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 58090671.\nAnswer: 3, 6454519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1605512 divided by 8\nAnswer: 200689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.5 - 0.9. Let l = -0.9 + -4.1. What is the nearest to 1 in l, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -22913.\nAnswer: -1\/22913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n - 0*n. Is -10\/9 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10 - 13 - (-1 + -5) - -135. Suppose -12*a - t = -7590. What are the prime factors of a?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 0 + (2 - -1) + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 174*a**2 + 16*a - 16. Let g be k(1). Solve 0 = 13*m + 16*m - g for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.704102911999 - -0.04?\nAnswer: 0.744102911999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 966880 - 212463. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -165 + 168. Let p = 1\/9 + 20\/63. What is the third biggest value in i, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:03 AM and 4:01 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 9960 to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, -0.2, -0.5, 0.3, 104\/7, 1040, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9402 or -9026?\nAnswer: -9402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.09569 + -240.8108?\nAnswer: -240.90649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - 18 = -d + u, 2*d - 5*u - 21 = 0. Let j(v) = -d*v + 39*v - 14*v. Let l(a) = -1 + 23*a**2 - 29*a**2 + 1. Calculate j(l(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000372378789 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qhcchhchhqcqhhchcccq. What is prob of picking 1 c and 3 q?\nAnswer: 32\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -5*o**3 + 8*o**2 + 9. Let q(p) = 7*p**3 - 7*p**2 - 8. Let f(l) = l**3. Let z(a) = -3*f(a) + q(a). Give -5*c(m) - 6*z(m).\nAnswer: m**3 + 2*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 4 + -7 + 0 + 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 2 - 5)*(-1 + 1 + 2*v**4) - 4*v**4 + 3*v**4 + 0*v**4)*(-8*v + 38 - 38).\nAnswer: 104*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fffl. What is prob of picking 3 f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1421, 4965, 10639, 18443, 28377, 40441?\n\"Answer: 1065*o**2 + 349*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 492088.2 micrograms?\nAnswer: 492.0882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 862 a factor of 5480824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (1\/2)\/((-9541)\/15910 + (-27)\/(-45)) is divided by 79.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v**2\/5 + 51213*v\/5 + 18098964\/5 = 0 for v.\nAnswer: -351, 51564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -9, 6, 23, 36, 39, 26?\n\"Answer: -j**3 + 7*j**2 + j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 16932 and 102?\nAnswer: 16932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -146501*-2.\nAnswer: 293002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -620*d**2 + 119*d - 2. Let v(z) = 617*z**2 - 116*z + 1. Let h(k) = -4*l(k) - 3*v(k). What is the second derivative of h(r) wrt r?\nAnswer: 1258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8.259 + 9.2. What is x rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14573.45 rounded to the nearest ten?\nAnswer: -14570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = 2*m - 8. Let w be 4 + (-120)\/14 + m. Which is the third biggest value?  (a) -1\/3  (b) -2  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, 11, 4\/9?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (35\/(-105))\/(7\/42).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, i: 11}. What is prob of picking 3 i?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1832988069 to the nearest integer?\nAnswer: 42813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a**5\/3 - 406270*a**4\/3 - 4468726*a**3\/3 + 406270*a**2\/3 + 1489576*a = 0. Calculate a.\nAnswer: -203124, -11, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -409 - -144. Let x = l - -387. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/50*-15*1\/1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11242, 22482, 33722?\nAnswer: 44962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 29, -2\/13, -166\/5 in decreasing order.\nAnswer: 29, -2\/13, -166\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k + 20*k = 58 - 44. Let w(y) = -5*y**3 + 7*y**2 - 4*y + 6. Let f(g) = -g**3 - g**2 - g + 1. Calculate k*w(u) - 4*f(u).\nAnswer: -u**3 + 11*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/9, -1.6, -688?\nAnswer: -688","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5477 + 5476 - 25*l - 3*l.\nAnswer: -28*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 117 and -1 + 3 + (-1 - 344)\/(-3)?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**3 - 3*l**2 + 4*l - 5. Let v be x(-4). Let g(w) = 7*w**2 + 7*w - 5. Let h(a) = 11*a**2 + 11*a - 8. Let s = -1 + 9. Calculate s*g(q) + v*h(q).\nAnswer: q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -53, 3\/4, 4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 29977 and 58987?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*w**3 + 9006*w**2 + 80835*w + 71832 = 0. What is w?\nAnswer: -2993, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 + (-2 - (17 + -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 2 = -4*l, 38 = 3*c + 23044*l - 23049*l for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*m - 41*m = -34 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 50 - 46. Suppose 4*c = -4*g + 4, -3*c - 2*g = -3*g - 7. Suppose -d = -0*d - f*l - 27, -c*l + 34 = 2*d. Calculate the remainder when 34 is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 10491964 or 10491953?\nAnswer: 10491964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add together 12985718 and -0.4.\nAnswer: 12985717.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**2 - 366*x - 1080.\nAnswer: -2*(x + 3)*(x + 180)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -20892.92 + 20893. Let y = -265 + 3447\/13. What is the fourth smallest value in -2, x, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**4 - 8*h**3 - 6*h**2 + 28*h - 16.\nAnswer: 2*(h - 4)*(h - 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-4)\/(-12))\/((-2)\/(-30)). Let i = -4 + s. Solve 0*j + i = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 18\/275 - -4\/275. What is the nearest to 3\/2 in -0.5, 0.3, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9 + -7. Suppose v = -f - 0*f - 21, 4*v + 82 = -2*f. Let n = v - -19. Sort x, 5, n.\nAnswer: n, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**3 + 20*t**2 - 39*t + 8. Give b(18).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(4\/11)*f*f)**(1\/39)\/((f*(f*f\/f**(-5))\/f*f)\/(f**(-7\/5)\/f*f)) assuming f is positive.\nAnswer: f**(-1541\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-2)\/(-3))\/((-1)\/3). Let v be 3*(u - (-14)\/3). Let r(i) = 7*i + 10. Let w be r(2). What is the highest common factor of v and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the second derivative of 10*g + 0*g**4 - 1\/30*g**5 + 0*g**2 + 1\/27*g**3 + 0 - 2\/135*g**6. Determine z so that n(z) = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 5791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**3 - t + 3. Suppose i - 5*s = -0*s + 10, 5*s + 10 = -4*i. Calculate x(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 94, 179, 268, 361, 458?\nAnswer: 559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*p**2 - 74*p + 196*p - 111*p as n + x*p**2 + j*p and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -5*(-3 + sqrt(847) + -5) + 5*(sqrt(847) - (sqrt(847) - (sqrt(847) + 0 + 3))) + 3)**2.\nAnswer: 3136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**2 + 85*b + 644. Calculate the remainder when k(-79) is divided by 30.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -2*b**2. Let z(w) = 3*w + 79. Give z(c(a)).\nAnswer: -6*a**2 + 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.050274nm to millimeters.\nAnswer: 0.000005050274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*(-2)\/18*12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-30)\/4*96\/(-240)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 436319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 38\/5309, 2\/9, 61, -2\/13?\nAnswer: 38\/5309","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1649 is divided by 782?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 43062502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 72852211.\nAnswer: 72852211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from {g: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 408667.9000016 - 408709.9. Let n = 42.0283 + -0.0283. Let y = s + n. What is y rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 103040 and 39200.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -81b7a + -24?\nAnswer: -81ba2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the first derivative of -6*c**4 - 44*c**3\/3 - 24. What is the third derivative of h(l) wrt l?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/69*(-2232)\/(-2976).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q - 53 - 31. What is the remainder when 41 is divided by q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47 + 234 = 17*k. Let u = k - 0. Solve 7 = -6*n - u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, j: 1, p: 2, w: 1}. Give prob of sequence pwxj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6 - -12. Suppose c*r - 5*r - 8 = -s, 0 = 3*s + 4*r - 26. Is 47 a factor of ((-4)\/3)\/1*(-1413)\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 133\/24 and -1\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 98*s**5 - 43348*s**4 - 2*s**3 - 45*s**2 - 10136 wrt s.\nAnswer: 5880*s**2 - 1040352*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/9?  (a) 0.29  (b) -0.2  (c) -0.084  (d) -29  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.025 + -1.4. Let d = 194 - 194.075. Let u = d + l. Which is bigger: 0.2 or u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -o**5 + 26465*o**4 + 1192511*o**3 + 11637143*o**2 + 19802618*o + 9331520 = 0.\nAnswer: -32, -11, -1, 26510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 406729*o**5 + 2*o**3 + 1971529*o**2?\nAnswer: 24403740*o**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -69351 or 4?\nAnswer: -69351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnnnnnnnnnnpnpnnnnn. What is prob of sequence npnp?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -27770, -27757, -27744, -27731?\nAnswer: -27718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73 = 3*t - 104. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (18 + 25 + -12 - 165) + 32?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1124, -1145, -1168, -1193, -1220, -1249, -1280?\n\"Answer: -v**2 - 18*v - 1105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 27*q**2 + 52*q + 1. Let s(r) = 244*r**2 + 452*r + 8. Calculate 3*s(l) - 26*t(l).\nAnswer: 30*l**2 + 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.0218 + -2.6118. Let k = 2.41 - x. Let n = 9 + -10.1. Which is the biggest value?  (a) k  (b) n  (c) 0  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the third derivative of 0*i**4 + 1 + 0*i**3 + 0*i - 2\/105*i**6 - 1\/35*i**5 - 2\/735*i**7 - 126*i**2. Factor g(c).\nAnswer: -4*c**2*(c + 1)*(c + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 234077471 is divided by 158?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -944 divided by 182\nAnswer: -472\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {k: 3, r: 1, g: 13}?\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 411 + -386 + (-4 - 4 - 94)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together -5134624 and -350917.\nAnswer: -5485541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:15 AM and 4:26 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13 + 25. Calculate the least common multiple of g and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*i + 4 = 22 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**2 + 15*k + 31. Let n be v(-13). Suppose -40*i + 45*i - 50 = 0. Solve 15 = n*j - i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/(-36)*-3)\/(-6 - 368\/(-60)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the first derivative of w**6\/60 - w**5\/10 + w**4\/6 - 15*w**2\/2 + 12. Let v(g) be the second derivative of o(g). Determine h so that v(h) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -8*a**2 + 8*a + 6. Let g be n(-5). Let d = -14753\/3 - -4686. Let q = g - d. What is the third biggest value in 3\/2, q, 0.1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*n - 2*n + 0*n + 4*n - 2*n - n + (4 + 0 - 2)*(-12*n - 24*n - 22*n).\nAnswer: -117*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 95100763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 203944?\nAnswer: 2, 13, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -3640, -7785, -11930?\n\"Answer: -4145*i + 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from swuggssrssurggwssr. What is prob of picking 1 u and 2 s?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7331792 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -25 + 18. Let h = 6.7 + u. Let t = -1139 + 1141. What is the nearest to -4 in t, h, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2 - (-1101)\/(-9)*1. Let t = m - -123. Let p = -2 - -5. Which is the closest to -1?  (a) p  (b) 0.1  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3326.\nAnswer: 2, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3875532 by -2.\nAnswer: -1937766","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -141*v + 11*v + 14*v**2 + 6*v wrt v.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(77) + sqrt(77)*-3))\/(-5*sqrt(175)).\nAnswer: 12*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 783629 is divided by 251?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -2*x**3 - 11*x**2 + 15*x + 63. Let p be n(-6). Suppose 0 = 3*o + 15, 10*o - 3124 = -3*j + p*o. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 41 + -37.16. Let r = 0.16 + y. Let t = 4 - r. Which is the third biggest value?  (a) 1\/8  (b) 0.3  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 107*n - 499 - 143 = 0. What is the smallest common multiple of n and (19 - (0 - -1)) + 2?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23864, -23868, -23872?\nAnswer: -23876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert edea1e (base 15) to base 12.\nAnswer: 3969a48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:45 PM and 6:11 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 224818?\nAnswer: 2, 11, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*s + 72*s = -284 - 1480 for s.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q - 9 = 3*t - q, -2*q = 2*t + 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -14 - 4*s - 5 + 42 - 14. Let k(r) be the first derivative of r**4\/12 + 6*r + 5. Let o(h) be the first derivative of k(h). Calculate j(o(z)).\nAnswer: -4*z**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6 * -2841.391.\nAnswer: 17048.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or -4185043?\nAnswer: -4185043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/1*(-23)\/2)\/((12510\/180)\/139).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 6. Suppose 0 = -s + 6. Let d(k) = k**2 + 5 + 0*k**2 - 10. Determine s*d(q) + 5*o(q).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -t - 27*y + 22*y + 17, 2*t = -4*y + 10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 v when two letters picked without replacement from {o: 3, v: 7}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 955*y**4 + 190*y**2?\nAnswer: 22920*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 104 + -121. Let u = w + 16. Sort 0.5, u, -0.1, 0.4 in decreasing order.\nAnswer: 0.5, 0.4, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 276 = -4*d + 3*x, 352 = -4*d + x + 76. Is ((-25989)\/(-2))\/(d\/(-46)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**2 - 8*a - 5. Let j be k(-9). Let g be (-214)\/j + (-6)\/21. Let z be g\/12 - 1\/4. Sort z, -2, 2 in descending order.\nAnswer: 2, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 74332, 74330, 74326, 74320, 74312, 74302?\nAnswer: 74290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -2.4, -0.5, -3 in increasing order.\nAnswer: -3, -2.4, -0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (-2 - 5) + -1 - -50 - 17\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*c**2 + 0*c**4 + 2*c**3 + 2*c + 3*c**2 - 2*c**4 in the form b*c + h*c**2 + t*c**4 + k*c**3 + d and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the third derivative of -z**6\/120 - z**5\/10 - z**4\/12 - z**3\/2 + 19*z**2. Give i(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -28 * 6225066.\nAnswer: -174301848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -36 + 35.8. Let g be 165\/(-84) - (0 - 2). Let x = g + 3\/14. Is x greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g + 9275*t = 9272*t + 11, g - 2*t = 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 2*b**2 - 330*b. Let p(n) = -103*n - 99*n - 94*n + 299*n. What is l(p(g))?\nAnswer: 18*g**2 - 990*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 32 + 29 + -62 + -44?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*v + 0 - v - 4 + (3 - 3 + 1)*(3*v - v - 3*v) + (-4*v + v + v)*(1055 - 1139 - 568).\nAnswer: 1302*v - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**2 + 5*t + 9. Let x be c(-3). Suppose 2*q - 3 = 1. Suppose x*s = 9, -s + 6*s - 13 = q*v. Solve 2*k + 5*i = -12, v = 3*k - 4*i - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*b**3 - 26 - 27 - 28 + 81.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 71\/102 + -1\/34. Which is the third biggest value?  (a) -0.4  (b) 1  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.8 times -0.0131\nAnswer: -0.02358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12 - (-2 + 5) - (-20 - -7)) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**0*u*u**(2\/7)*u*u\/(u*u**(-8))*u*u\/(u*u\/(u**2*u)*u)*(u\/(u*u\/(u*u*(u**(1\/4)\/u*u)\/u)*u))\/(u**(-3\/2)*u)*u*u**(-2)*u**(-4\/7)*u assuming u is positive.\nAnswer: u**(321\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 110\/7 + 4\/14. Suppose 0 = 4*y - r - 4. Suppose y*d = 2*d + 6. Solve 4 = -2*j + k, 0 = j + d*j + 3*k + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v**(-13)\/v))**(1\/12) assuming v is positive.\nAnswer: v**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 2 = -v, 5*a + 0*a = -2*v + 18. Suppose 9*i = v*i + 5. Suppose 9 = r + i. Solve r = -4*b + 2*x, 0 = -b - 7*x + 3*x + 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 92 and 8.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*k - 12, 4*k = -5*b - 4694 + 4721 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 12946 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 325929 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 315 + -217. Suppose 2*y - 4*g + 0*g = 90, 2*y - v = -4*g. What is the remainder when 185 is divided by y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -190569164*w**4 - 102062320 wrt w.\nAnswer: -762276656*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + -9 + 12 + -3 - (8 + 33)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32 - (34 - (32 - (-152 + 33))).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 419*g*m**2 + 2*g*m + 6*g + 1 wrt m.\nAnswer: 838*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 329577 by 109859.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**2 + w + 1. Let y be t(2). Suppose 9*s = 3*s + 6. Let u(o) = -1 - o**2 - o + s. Determine u(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -22*f + 23*f - 5. Does 46 divide f - 7 - -233 - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((l\/(l*l*l**(-4)))\/l)\/l)\/l**(1\/4))\/(l**(1\/3)*l)**(-9\/8))\/((l*l**(-2\/27))\/l**(-8))**14 assuming l is positive.\nAnswer: l**(-13253\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*g + 1296 = 18*g. Is 3\/(27\/7894) + (-18)\/g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-5*2*5*-5*(1 + sqrt(1300)))**2.\nAnswer: 5000000*sqrt(13) + 325250000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -94 = 7*x - 108. Let h be ((20\/15)\/x - -566)*-7800. What is h rounded to the nearest one hundred thousand?\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4575 by 5.\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3258 and 137198.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in 3, 11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 92747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 10 = -38. What is the second derivative of 65*c**5 - c + 1053 - 1048 - a*c wrt c?\nAnswer: 1300*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y - 1. Let a be q(8). Let k(p) = 19*p**2 - 6*p - 12. Is k(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -98.79077 - 0.09123. Let r = 99 + h. What is r rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17524910?\nAnswer: 2, 5, 13, 134807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 110, -1955, -5380, -10153, -16262, -23695, -32440?\n\"Answer: 2*y**3 - 692*y**2 - 3*y + 803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -w + 101 - 711 - 3481.\nAnswer: -w - 4091","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from etcdecda?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q**3 - 26175*q**2 + 104840*q + 314340 = 0 for q.\nAnswer: -5239, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttkkttttts. What is prob of picking 1 k and 1 s?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 278 = 116*m + 128 + 2006 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-two fifths of a decade in years?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 207 a factor of 1269316962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(1216) + -1.\nAnswer: 4 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 315320934.\nAnswer: 2, 3, 127, 413807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -734 - 1020 = -2*u. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((32\/12)\/(-8))\/(3\/(-38)). Let p = 0 - m. Find the common denominator of 64\/33 and p.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 885340877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -13*u**3 + 2*u**2 + 2. Let q(x) = -128*x**2 + x**3 + 258*x**2 - 4 - 131*x**2 + 3. Suppose -5*c + 64 = 54. Calculate c*q(i) + b(i).\nAnswer: -11*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 33561679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -15, -3, 21, 57?\n\"Answer: 6*b**2 - 6*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 294 = -431. Is 30 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12a196 (base 11) in base 4?\nAnswer: 301301131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1394*v**4 - 8*v**3 + 2*v**2 - 8*v - 81234941.\nAnswer: -5576*v**3 - 24*v**2 + 4*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 10) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 18 and 33?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -13*i + 9*i. Let f be 0\/((0 - (3 - i)) + 0). Suppose f = 3*l, -4*b - 30 = b + 5*l. Put 4, -1, b in increasing order.\nAnswer: b, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:05 PM and 3:08 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1358 - 4.\nAnswer: -1362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -g. Suppose g*z = 6*z. Which is the third smallest value?  (a) -2  (b) -4  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of a**4*z - 154841*a**4 - a**3*z + a**3 + 58*a**2*z + 18*a**2 - 8*a + 96*z + 2 wrt a?\nAnswer: 24*a*z - 3716184*a - 6*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 162 = -4*b, 3*b - 2*b + 172 = -2*y. Let u = y - -91. Suppose 0 = 12*j - u*j - 4764. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/5 of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/50 of a millimeter?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 540 divided by 9\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*4*(sqrt(76)*2)\/sqrt(4).\nAnswer: 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 - (-8 + (12 - 7)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.8045 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the second derivative of -l**5\/10 + 23*l**4\/12 - 8*l**3\/3 + l**2 + 2*l - 344. What is the second derivative of i(k) wrt k?\nAnswer: -12*k + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = 6*g - g, i = 4*g. Suppose 306 = -26*x - 76*x. Is g bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -2)\/(4\/4 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 19010041 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 105, 206, 465, 960, 1769, 2970?\n\"Answer: 13*i**3 + i**2 + 7*i + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes after 2:36 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from gggffbgb?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 57 + -53. Let i = 6 - 8. What is the second smallest value in k, -0.6, i?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 10*x**2 - 4*x - 3. What is m(5)?\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 100408 + -62621. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes before 11:37 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*h**2\/9 + 2687306*h\/3 - 8061916\/9 = 0. What is h?\nAnswer: 1, 4030958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 27?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -68, 1396, 5228, 12610, 24724, 42752, 67876?\n\"Answer: 197*d**3 + 2*d**2 + 79*d - 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 13907*y + 34707?\nAnswer: 13907","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2\/(-30))\/((-4)\/24). What is the closest to 0.7 in 5, b, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 2, 4*n + 115 = -2*z + 1493. Suppose -2*k + 340 = 4*l, 3*k - n = l - 5*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.1 - -10.9. Let g = z - 11.5. What is the third smallest value in -8, 3\/8, g?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + -10 + -14 + 2 + -1 + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*c + 5*i + 101, -4*i = -186*c + 191*c + 70 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 55440 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-320)\/(-56) - (-1 + (-20)\/(-28)). Solve -4*k + f*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-9)\/21 + 51\/21. Suppose 9 = o + r*o - f, -5*f = 3*o - 27. Suppose -4*y - 529 = -9*y - o*c, 109 = y + 4*c. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 180844\/(-65478) - -4*(0 - (-2)\/3).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1 - (2 - (683 - -6)).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 9, h: 2, t: 6}. Give prob of picking 1 t and 1 h.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3100*s - 1593*s - 1173*s - 15030 for s.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes after 11:17 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:35 PM and 7:51 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79985694?\nAnswer: 2, 3, 113, 117973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 282 + -69. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (10 + -9 + 4 + -3 + 3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*d**3 - 9*d**3 - 10*d**3.\nAnswer: -22*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00432 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*(-13)\/(-156)*-3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 101 a factor of 1352774103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9063*t*x**3 + 3841*t - 4 wrt x?\nAnswer: 27189*t*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 34 - 32 = 0. Let c be (8\/(-24))\/(f\/3). Let o(g) = 3*g**2 - g - 4. Let w(j) = -j**2 + 1. Give c*o(a) - 4*w(a).\nAnswer: a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -4*o**3 - 15. Let h(n) = -3*n**3 - 1 + 4*n**3 + 5. Let w be (12\/9)\/((-2)\/(-33)). Let b(p) = w*h(p) + 6*f(p). Differentiate b(s) wrt s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12007.00015307 + 12007. What is t rounded to 6 decimal places?\nAnswer: -0.000153","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, l: 2, r: 2, e: 1, q: 1}. What is prob of sequence leeh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 3*r**3 - 4*r**2 + 8*r - 19. What is the lowest common multiple of 10 and y(3)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -84.3385 to 0 dps.\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and 940376.\nAnswer: 1880752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:53 PM and 3:47 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 574 and 952.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + (0 - (-7 + 8 + -2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 209 + 198 - 2*j**2 - 596 + 310 + 88*j + 263.\nAnswer: -2*(j - 48)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 851 divided by -6?\nAnswer: -851\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l - 61 + 69 = -2*v, -7 = 7*v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 519 is divided by 47.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-28)\/6*(-42)\/49. Suppose p*x + 45 = 1. Let o = 12 + x. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d**2 + 19600*d - 48020000 = 0. What is d?\nAnswer: 4900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-18)\/21)\/(-352*(-25)\/(-700))?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4*(-12)\/(-240))\/(3*(-5)\/(-1050))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -53.3064 rounded to zero dps?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 0, -4, -20, -54, -112, -200, -324, -490?\nAnswer: -704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -405*v + 55 - 55. Suppose -l = l - 8. Let j be r(l). What is j rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -320936 rounded to the nearest 10000?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 366 is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1138752018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 7\/((-42)\/(-24)) + -1 + -4 + 7. Let s(n) = 11*n + 1. Let f(u) = -11*u - 1. Determine b*s(l) + 4*f(l).\nAnswer: 22*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express q**3 + 2*q**2 - 2*q**2 + (-19*q - 13*q - 10*q)*(2*q**2 + 37 - 37) - q + q - 2*q**3 as b*q + t*q**3 + y*q**2 + i and give t.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 d when two letters picked without replacement from abad.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in v**2 + 14138*v - 6*v**2 - 14138*v - 6*v**3.\nAnswer: -6*v**3 - 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.01 or 4463?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7263740*i**6 - 1741607*i**2 wrt i?\nAnswer: 871648800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1110229 - -1?\nAnswer: -1110228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*s**3 + 1194 - 31*s**3 + 8*s**3 + 3*s**3 + 9*s**3.\nAnswer: 2*s**3 + 1194","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1069201 from -1.\nAnswer: -1069202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 25.03 + -20.03. Suppose -4*u - 16 = -5*n, -2*u = 3*u - 5. Put n, 0.8, f in descending order.\nAnswer: f, n, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 15 + -1 + -6 + 854\/122. Let q(k) = -2*k**3 + 30*k**2 + k - 6. Give q(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1387561 (base 9) to base 10.\nAnswer: 766639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -29*d - d**2 + d**4 + 67*d**4 - 59*d**4 + 2 + 3*d**2 - d**3 as b*d + a*d**3 + w*d**4 + m + j*d**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -9*(-4 - (-44)\/12). Let a = p + 60. Is 22 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * 3353506.6.\nAnswer: 10060519.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21 + (85 + -38 - 60)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 37*m - 4. Let d be (-4)\/14 - 115\/(-35). Let u be b(d). What is u rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.651, 1\/3, -4 in ascending order.\nAnswer: -4, 1\/3, 0.651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/4))**(-3\/10) assuming k is positive.\nAnswer: k**(-3\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 0*q - q + 2 = 0, -2*u - 2*q + 16 = 0. Suppose 8 = -u*z + 5*z. Suppose z*k = 1 + 23. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14 - 14) + -16 + 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**3 + 7*t**2 + t - 1. Let o(x) = 354*x**3 - 453*x**2 + x - 1. Let i(y) = -2*h(y) + 2*o(y). What is the third derivative of i(n) wrt n?\nAnswer: 4260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.9 - 1. Let g be 64\/(-416) + ((-327)\/13)\/(-1). Let m be 3 - 45\/g - 1. Which is the nearest to 2\/3?  (a) m  (b) 0  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -369.01  (b) -2\/5  (c) 2\/3  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*c**2 + 20795*c + 124590.\nAnswer: 5*(c + 6)*(c + 4153)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4278 and 30?\nAnswer: 21390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-20)\/24 - -1)*21*2. Let p(i) = -i**2 + 4*i + 54. What is the least common multiple of -3*4*-2*1 and p(x)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -4*n**2 - 6*n + 1. Let o(u) be the second derivative of 7*u**4\/12 + 11*u**3\/6 - u**2 + 33*u. Let w be (-42)\/8 + (-9)\/12. What is w*o(i) - 11*y(i)?\nAnswer: 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -9 - 249309?\nAnswer: -249313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 348, 706, 1064, 1422, 1780?\nAnswer: 2138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0 + -12)*(-9)\/(-12)*-2. Is f < 84\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - ((-12 - -6) + 4 + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-2) + (-55692)\/936\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 15722*v**3 - 23*v**2 + 144*v - 2 wrt v.\nAnswer: 94332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7281 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5.8 + -5. Let p = -0.4 + r. What is the third biggest value in 2\/3, p, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41217602 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*s**2 - 12842*s**3 + 4460*s**3 - 332 + 341 - 1143 wrt s?\nAnswer: -50292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h, 1 g, and 1 j when four letters picked without replacement from gjhgwggjwhggw?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -8*2\/6*-3. Find the second derivative of x - 3*h - h**4 - 8 wrt h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -0.33, 1\/4, -0.3, -2\/13.\nAnswer: -0.33, -0.3, -0.2, -2\/13, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 3 - 1. Let j(i) be the third derivative of -i**5\/24 + i**4\/24 - i**3\/6 + 4*i**2. Let n(f) be the first derivative of j(f). Give n(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n - 5*n - 539 = 2*p, -4*n + 3*p = -719. What is the remainder when n is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 49812*g**2*t**2 - 7*g**2 - 76*g*t**2 + 21079*g*t - 2*t**2 - 21*t wrt t?\nAnswer: 99624*g**2 - 152*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -3*j**2 - 15*j - 15. Let y(l) = -3*l**2 - 15*l - 14. Let p(d) = 2*f(d) - 3*y(d). Factor p(s).\nAnswer: 3*(s + 1)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, t: 3, e: 2, g: 2}. Give prob of picking 1 e and 1 s.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3282 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 300*f = -305*f + 603*f - 22 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2891*m**2 + 202*m + 20104963 wrt m.\nAnswer: -5782*m + 202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*p**4 + 147*p**3 + 39*p**2 + 2*p wrt p?\nAnswer: 48*p + 882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 25900.0013573 + -25900. What is d rounded to 5 dps?\nAnswer: 0.00136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 3 = 7. Let t = 9 - 15. Let r = t - -4. Which is the closest to 0?  (a) z  (b) r  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(75)*1 + (sqrt(75) + -1)**2)*-3.\nAnswer: -228 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor p + 18\/7 - 1\/7*p**2.\nAnswer: -(p - 9)*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/968 and 99\/8.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 5*v**2. Let d(t) = -13*t + 3. Let a(m) = -76*m + 17. Let p(g) = 6*a(g) - 34*d(g). Calculate n(p(y)).\nAnswer: 980*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -212 - -143. Let j(r) = 6*r**2 + 3*r - 2. Let n be j(-5). Let m = n + z. Calculate the greatest common divisor of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) -0.015  (c) -522\/7  (d) 46\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 21749 - -20628. List the prime factors of p.\nAnswer: 31, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 - -32) + 6345\/(-47) + 44.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73 is divided by 64?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 27381848*h**3 + 71750947*h**2?\nAnswer: 164291088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 6, s: 3, h: 1, i: 2, n: 1, m: 2}. What is prob of sequence hni?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 4*c = 1, -72*c = -4*g - 69*c + 13 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(-5\/3)*q)\/(q*q\/(((q*q\/((q**(-23)\/q*q)\/q))\/q)\/q)))\/(q\/(q*q**(4\/3)\/q))**(-39) assuming q is positive.\nAnswer: q**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -110 (base 5) to base 2\nAnswer: -11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -46860*k**3 - k**2 + 17*k + 10170 wrt k?\nAnswer: -281160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.1 - -0.13. Which is bigger: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -30 and -0.0377176?\nAnswer: 1.131528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8529 + -3225. List the prime factors of i.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 less than 40966.8741387?\nAnswer: 40967.0741387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.967709 rounded to 3 dps?\nAnswer: -0.968","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the third derivative of 13*z**5\/30 - 11*z**4\/24 + 11*z**3\/6 + z**2. Let w(t) = 5*t**2 - 2*t + 2. Calculate 2*h(f) - 11*w(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wpwbwbbpwwwpb. Give prob of picking 3 w.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1 + 38\/2)\/2. Suppose -6*x = -3*x - t. Which is greater: x or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3084524 is divided by 616903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ns when two letters picked without replacement from {p: 2, h: 1, n: 3, s: 4, c: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2742184153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*u**3 + 141017480*u**2 = 0. What is u?\nAnswer: 0, 35254370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -2*h**3 - 4*h**2 + 10. Let k(s) be the second derivative of -s**5\/10 - s**4\/3 + 11*s**2\/2 + 136*s + 2. Give -5*k(q) + 6*o(q).\nAnswer: -2*q**3 - 4*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 3*z**3 + z**2 + z - 1. Let c be l(1). Suppose 0 = -10*n - 2 - 18. List the prime factors of (-26)\/(-2) - c\/n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 87 greater than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 23 = q, 12*q - 9*q = 2*h + 83. Let i = 301 + -222. Calculate the remainder when i is divided by q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-38)\/102)\/(10575\/(-107865)).\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t - j + 7 = 0, 825 = 12*t + 2*j + 851 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:14 AM and 10:07 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 0.8  (b) -11  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*b = 7*b. Suppose -4*m = -5*m. Suppose -3*y + b*y + 36 = m. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 110 and 6736345?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 take away 8361431221?\nAnswer: -8361431217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -1923 less than -1926?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3218960*d**4 - d**2 - 21*d - 43904 wrt d.\nAnswer: -77255040*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 683829?\nAnswer: 3, 19, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 167*k - 172*k = 4*b + 33, 3*b = 3*k - 18 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*v = 32 + 100. What is the tens digit of (4\/v*-6)\/((-4)\/(-678))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 156078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 658*b**2*c - 62*b**2 - 889619*c wrt b.\nAnswer: 1316*b*c - 124*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 17141000 rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 21374 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -22.8 + -4.2. Let c = x + 27.00062. What is c rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1875 - 1874. Let d = 0.08 + -0.28. What is the nearest to d in -0.3, l, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -14.2 and -4615?\nAnswer: 65533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(540)\/sqrt(108) + sqrt(45) + sqrt(45))\/(sqrt(36)*2) - (-3*sqrt(240)\/sqrt(4))\/(-1*(sqrt(12) + sqrt(48))).\nAnswer: -5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -15 - (-273)\/13 - (-2 - 0). Find the second derivative of 5 - b - 5 + 269*b**2 - 9*b**2 + i*b wrt b.\nAnswer: 520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-2*sqrt(252) + -1*sqrt(252) + 2)**2 + (-4*((sqrt(7)*-2)**2 - sqrt(7)) + -4*sqrt(252))*4.\nAnswer: -200*sqrt(7) + 5856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -123*d + 453. Let f(v) = -41*v + 154. What is -11*f(z) + 4*r(z)?\nAnswer: -41*z + 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 4425721 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:31 AM and 2:21 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y + 5*y + 4*o - 5704, -4*y + o + 22731 = 0. Suppose -7*t + 6*t = 3*r - y, -4*t + 5*r + 22651 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.56872 != 270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(8640) - (sqrt(8640)*-1*-5 - sqrt(8640)))\/(sqrt(135)\/sqrt(5)*-2))**2*-3.\nAnswer: -2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-1*(sqrt(500) + 1))**2.\nAnswer: 20*sqrt(5) + 499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 2 + 0 - 3 + 2 + 2*y. Let u be b(-2). List the prime factors of (-2 - -24) + 1 + u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11 and 541695.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -452*r - 2*r**4 - 1 - 499*r - 2 + 1030*r + 387*r**4 wrt r?\nAnswer: 4620*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -1555718.\nAnswer: -2\/777859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3*2\/(-4))\/((-96)\/320)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 51, -4, 130, -32, -2 in decreasing order.\nAnswer: 130, 51, 1, -2, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 251, 583, 927, 1277, 1627, 1971, 2303, 2617?\nAnswer: 2907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 77.8 + -70. Let v = x - 8. Which is the closest to 2?  (a) v  (b) -2  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 362 and 388.\nAnswer: 70228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -438762, -438796, -438830, -438864, -438898?\n\"Answer: -34*w - 438728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 709*w**2 + 839*w**2 - 1335*w**2.\nAnswer: 213*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, -4\/9, -0.2 in ascending order.\nAnswer: -4\/9, -2\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 19898962 divided by 278?\nAnswer: 71579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -212*u - 3. Let b(t) = 5*t. Give b(h(f)).\nAnswer: -1060*f - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -34735 + 59735. What is h rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1255, 2518, 3787, 5062, 6343, 7630, 8923?\n\"Answer: 3*c**2 + 1254*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -29 - -194. Which is bigger: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4240101, -3, 2.\nAnswer: -3, 2, 4240101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f - 15 - 20. Let s(r) = -r**3 + 9*r**2 - 5*r + 3. Let u be s(8). Let i = u + -8. Calculate the remainder when i is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -126*k + 116*k + 8070 = 0. Calculate the remainder when k is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-32)\/10 + 2)*-35. Let b = u - 40. Suppose 4*g + 4*f - 100 = 0, -f = -b*f. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.8 + -2.819. Let a = -10191 - -10178.519. Let r = y + a. What is r rounded to zero dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ddydyyyydydyydyydydd.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the second derivative of 5*j**4\/12 - j**3\/6 + 5*j**2\/2 - 5*j. Does 9 divide k(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 p when two letters picked without replacement from xgiiijixexgp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = 4*w - 63, 5*w + 1 - 46 = -5*b. Let f be (-4)\/w + (-50)\/(-6). Suppose 3*a + 31 = 5*n + 2, 3*a + f = 2*n. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tgy when three letters picked without replacement from gtgtggkyg.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 298?  (a) 6  (b) -0.4  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 735 = -1295. Let s = 961 - m. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -138 - -2?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1243*q + 624*q + 616*q + q**2.\nAnswer: q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -23 + (-140 - -122) + (9 - -1).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -23, -48, -73, -98, -123, -148?\n\"Answer: -25*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1534 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-432)\/(-20))\/(-6)*10. Let v be (d\/(-45))\/(2\/5). Find the second derivative of -13*p**5 + 2*p**v - p - 2*p**2 + 2*p**5 wrt p.\nAnswer: -220*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -26\/227 > -137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.255806 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -95116*z**3 - 10767*z wrt z?\nAnswer: -570696*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 124\/7 - (-12)\/42?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/(-45) - 1\/(-9).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -4*o + 6. Let b be l(2). Let g(r) = -r**2 + 4*r + 13. Let n be g(6). Sort b, 5, n, -3 in descending order.\nAnswer: 5, n, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3205, 3207, 3209?\nAnswer: 3211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 PM and 8:45 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -95*q + 33964 = -981*q - 327*q for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 6*x - 16. Give u(-10).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*t + t + t)*(-2*t + 5*t - t)*(103*t - 199*t - 75*t).\nAnswer: 684*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*l - 8*l = 30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2888132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000313983205 to six dps.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43191 - h**3 - 6*h**3 - 43188.\nAnswer: -7*h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 22 + (-7 - -5) + -11\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*l - 22915 = -23003 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 5*o = 65, -2*v + 0 = -2*o + 30. Let q = -23 - v. Is 1*-1*(4 + q) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 10, m: 2}. What is prob of picking 2 m?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 9208, 35559, 79478, 140965, 220020, 316643?\n\"Answer: 8784*h**2 - h + 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the second derivative of -z**4\/4 + 3*z**3 + 4*z. Suppose -12*v + v + 27*v - 288 = 0. Let k(l) = l. What is v*k(j) - h(j)?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 34 - 35.35. What is k rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = 3*p - 182, -t + 169*p + 113 = 165*p. Is 1068\/11 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16\/(-2))\/((-64)\/224 - 427\/49).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 4, 1\/2, -7 in decreasing order.\nAnswer: 4, 1\/2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -19 - (-18 - 0) - -17\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1124 + -13?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -d - -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 104*j - 2380. What is the remainder when s(27) is divided by 140?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-29*i**3 - 16*i**3 + 11*i**3)*(-1 - 4 + 2).\nAnswer: 102*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/83, -102, 2\/9, 0, -135 in ascending order.\nAnswer: -135, -102, 0, 1\/83, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (853 - 2557 - 3193*p + 856 + 848)*(-3 + 5 - 1 + (0 - 2 + 0)*(-2 + 2 - 1)).\nAnswer: -9579*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/133 or -112?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22 - 8 + 29*b**2 - 7 - 8.\nAnswer: 29*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1470)*1 + sqrt(1470))\/(-5*-2*sqrt(6)) - (sqrt(35) - (sqrt(2240) + 2*sqrt(2240)))\/(sqrt(847)*-1).\nAnswer: -38*sqrt(5)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1056 and 460779.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48491662 + 4224*o + 21540*o - 5*o**2 + 9016*o - 11990758 = 0. What is o?\nAnswer: 3478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 1 r, 1 j, and 1 b when four letters picked without replacement from {r: 2, b: 4, s: 2, q: 1, j: 1}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, q: 7, k: 4, j: 5}. What is prob of sequence kk?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/10*(-2)\/(-6)*-5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 + 1 + 6 + -2. Suppose -7 = y*s + 8. Put s, 4, 3 in descending order.\nAnswer: 4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -773*c + 147662. Calculate s(191).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2323, -2310, -2297?\nAnswer: -2284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/(5\/734) + (15 - 3160\/200). Sort t, 6, 0, 2.\nAnswer: 0, 2, 6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-40 - -68) + -20 - 1*-592. Solve -r = 5*x - 635 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9.2411 - 115.9009. Let h = 125 + y. Let p = -0.085 - h. Round p to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 + -2772?\nAnswer: -276a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (-11 + (22 - 2)) - ((-11 - -1) + 17)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 77\/47 + -646\/423. Let y = -16.9 + -5.1. Which is the closest to 1?  (a) 2\/11  (b) y  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 533 = 22*c + 225 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*m**4 + 319*m**3 + 8533*m**2 + 2809*m.\nAnswer: m*(m + 53)**2*(3*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -107, 2, 218, 3 in descending order.\nAnswer: 218, 3, 2, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes after 5:46 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -58*n**3 + 121*n - 35535?\nAnswer: -174*n**2 + 121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(8)\/sqrt(4) - sqrt(2))*4*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c + 4*c + 3091 = 2*t, -c = -1. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 905 + -893. Let c be 56\/10 - 6\/(-15). What is the greatest common factor of c and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -16654, -16751, -16902, -17101, -17342, -17619, -17926, -18257?\n\"Answer: c**3 - 33*c**2 - 5*c - 16617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 3\/7  (b) 1\/5  (c) 1\/24  (d) -5  (e) 1757\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 341183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 1, u: 1, f: 3, b: 2, i: 2, n: 6}. Give prob of sequence funn.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 23\/(-69) - 116\/(-6). Solve 3*t - 1 = 5*o, 30*o + 3*t + d = 25*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16568?\nAnswer: 2, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -16506 - -16660. Solve d = -212*c + 190*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -251*x**2 - 7*x - 8. Let w be u(-1). Let z be (-6)\/w*6*-2. Which is the nearest to 41?  (a) z  (b) 0  (c) 0.4  (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/((8 + -4)\/20). What is the units digit of 336\/35*c\/(-2 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 3*g = -19*v + 24, -3*g = 2*v - 6*v + 13 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 11 = 4*p, -5*p - 2113 = -5*r - 2123. Put r, -93, -4 in increasing order.\nAnswer: -93, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -50948268 divided by 8491378?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 7 = -s + 2, 0 = -s + 3. Let c be l\/(-14) - (-8)\/(-14). Which is smaller: -4\/7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-2*(-1*sqrt(190)*1 + sqrt(190))\/sqrt(10) + -1))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 67*q**3 + 446585 - 446585 + 12*q**3.\nAnswer: 79*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 31*o**3 + 3*o + 4. Let x(d) = -d**3 + d + 1. Let a(b) = w(b) - 3*x(b). Suppose -1 = 6*f - 7. Is a(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-7)*f*f**(-1\/7)\/f*((f*f**(3\/7))\/f)\/(f**(2\/3)\/f))**(-34) assuming f is positive.\nAnswer: f**(4556\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 39505*(-5)\/(-25)*10. Suppose 42*s = 32*s + a. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (10\/(-3))\/((-1)\/21). Let t = -32 + s. Suppose 4*h + 5*c = t, -3*h + 16 = -2*c - 1. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, p: 3, x: 3, s: 2, t: 2, n: 1}. What is prob of sequence sn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 31274.97 and -2.2.\nAnswer: -68804.934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 2*g + 17, 117*g - 120*g = 2*q - 6. Let l(k) be the third derivative of 0*k**3 - 1\/4*k**4 + 0*k + 0 + q*k**2. Let b(y) = -2*y**2. What is l(b(j))?\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 21\/185098370 and 61\/5?\nAnswer: 185098370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7.954 + -0.046. Let u = 7.9978 + o. Round u to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2092.59877 rounded to the nearest ten?\nAnswer: -2090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*r - 57 = 39 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (20\/(-40))\/(1\/(-6)). Solve y + 8 = n*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9586183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*x**3 + 19 + 4*x**3 - 5 + 4*x**3 - 3*x**3 - 4*x**3 + (-5*x**2 + x**2 + 3*x**2)*(-2*x + 4 - 4) - x**3 - x**2 + x**2 + 2*x**3 + 0*x**3 + x**3.\nAnswer: -2*x**3 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 136 divided by -14\nAnswer: -68\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 370711059460 - 0.5?\nAnswer: 370711059459.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 119 - -57?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5690 - -614441\/108. Calculate the common denominator of -109\/144 and m.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-4)\/3)\/((-2)\/21). Let i be -2*(2 + 1 - 2) + 9. Calculate the highest common divisor of s and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*sqrt(78)*-2 + sqrt(78) - (((3*sqrt(78) + sqrt(78) + sqrt(78))*-3 - sqrt(78)) + sqrt(78)))\/(2*-2*sqrt(384)*4))**2.\nAnswer: 13\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -116, 0.3, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -19598.9936024 + 19599. What is h rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29 + 661 - 7*(-2)\/(-14) is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39624 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 80*l**3 - 4*l**2 - 6*l + 5. Let h(y) = -81*y**3 + 5*y**2 + 7*y - 6. Calculate -6*c(d) - 5*h(d).\nAnswer: -75*d**3 - d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 1247.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79 is divided by 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -147 - -188. Calculate the remainder when 163 is divided by s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1405560 divided by 6890.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 16979584907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 - -6.02. Let h = k + 0.28. Let l = 0 - -1. Sort h, 0.5, l in descending order.\nAnswer: l, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -21 + (-1 - -1 - (-916 + 932))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 26, 2\/11, -0.0435, -4 in descending order.\nAnswer: 26, 2\/11, -0.0435, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 543.3944 grams in nanograms?\nAnswer: 543394400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 17 = -27. Suppose 5*q = 3*h - 30, -28 = -g*h - 0*q + q. What is the lowest common multiple of h and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1310, 1204, 1098, 992, 886?\n\"Answer: -106*o + 1416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**2\/5 - 40719*o\/5 - 40718\/5.\nAnswer: -(o + 1)*(o + 40718)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 16312 - 16311.6. What is the smallest value in -1\/41, -3\/2, r, 23\/4, -0.3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -30 - -10. Let n = a - -36. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -85*z + 98*z - 47*z.\nAnswer: -34*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**2. Let h(l) = 3*l**2 + 9*l + 5396852. Calculate h(f(b)).\nAnswer: 3*b**4 - 9*b**2 + 5396852","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 5 = -3*x - 9, 0 = 4*u + x. Let w(j) = 3*j**3 - j. Let o be w(u). Suppose -o*v = -6*v - 8. Is v less than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 10083, 40255, 90547, 160959?\n\"Answer: 10060*h**2 - 8*h + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -2*x - 98. Let v(g) = 457216*g + 4. Calculate v(r(o)).\nAnswer: -914432*o - 44807164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*j - 603 = -147. What is the remainder when j is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -74*p - 689. Let f(w) = 59*w + 691. Give 5*f(t) + 4*s(t).\nAnswer: -t + 699","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 1388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -151\/9828 and -107\/1188.\nAnswer: 108108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1189 + 54*l**2 + 12*l**2 - 1189 to the form m*l + v*l**2 + y and give v.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 1 + 2 - h - 4 - 6. Let c be l(-4). Let n be -4*(c\/3 - 1). Solve -4*q + 4 = 2*o - 9*q, 4*o - 2*q = n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:53 AM and 1:59 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -151086000 rounded to the nearest 1000000?\nAnswer: -151000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 3*t**2 - 6*t. Let r(x) = x**2 - x. Let g(s) = s**3 + 9*s**2 + 9*s + 7. Let d be g(-8). Give d*m(w) + 6*r(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 44454 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i*i*i**(-7)*i)*i**(1\/4)\/i*(i\/(i*i\/i**(-10)))\/(i*i\/(i\/(i*i*i**(-5)))*i))**2 assuming i is positive.\nAnswer: i**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the second derivative of -r**7\/84 + r**6\/60 + 3*r. Find p, given that b(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/3)\/(((-471)\/1099)\/(2\/(-14)))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-8 - -3 - 2) + 1. Let f(r) = -r**2 - 6*r - 6. Let w be f(x). Is 8 a factor of 60\/8 + w\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 104 = -16. Solve 3*o = -5*i - 40, -5*o + t = 5*i + 72 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 6, z: 2, c: 1, k: 1, w: 8}. What is prob of sequence zc?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.426041 centuries in years?\nAnswer: 842.6041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6036)\/82995*(-22)\/(-6).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -60584700 times 5\nAnswer: -302923500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*b*d**2 + 13*b*d - 249*b*k + 2*b + 2*d**2*k - 43*d**2 with respect to k.\nAnswer: -249*b + 2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (260\/(-117))\/(-5)*104\/32*3?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -6*r. Suppose -4*z + 43 + 121 = -4*u, 2*z = -2*u + 62. Suppose -29 + 792 = 7*p. Let q(i) = -p*i + 45*i + z*i + 39*i. Calculate q(y(w)).\nAnswer: -66*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1639 - -1639.1. What is the closest to 1 in 130, m, -1\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h**2 - 2880*h + 583300 = 0 for h.\nAnswer: -3070, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w - 11 = -3*w - u, 17 = -4*w - u. Let y(a) = -2*a + 5. Let o be y(w). Suppose 2*z = -3*q + 9, 7*z - 3*z + q = o. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/348 and -41\/9084?\nAnswer: 263436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-28))\/((-303)\/(-404)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - -5. Let h = 402 + -278. Suppose -z*m + h = 39. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84 = 4*o - 100 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 4.6842 times 542\nAnswer: 2538.8364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -6.2125 and -4?\nAnswer: 2.2125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -1. Let p(x) = 2*x - 8. Let j be p(4). Suppose j + 5 = -y. Let z(i) = -i - 6. Give y*z(w) + 30*u(w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0, -2, -116\/7, 0.032, -18, 3?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/18 + (2 - 26\/9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 2*l - l - 54 = 0, -4*b - 5*l - 136 = 0. Let a = b + 31. Solve s - 4*j + 0 = -2, -a*s = -j + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes before 6:27 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -6 + 2*p + p + 3*p. Suppose -2*f - 2*f + 24 = -2*x, 3*x = -4*f + 4. Is 8 a factor of s(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 6 = o - 7*d, 2*o - 5*d - 10 = 0. Let f = 0.62 - 0.6. Let z = f + -1.02. Which is the second biggest value?  (a) o  (b) 0.3  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16 + -14.2. Let s = -1.80000004 + z. What is s rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -24d15 - -8?\nAnswer: -24d0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 164\/5 + 6\/30. Let v = t + -41. Let n(g) = -6*g - 32. What is the lowest common multiple of n(v) and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -222 - 1203013222?\nAnswer: -1203020110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 27512410 to the nearest integer?\nAnswer: 5245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (-18 - -4) + 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, y: 3}. What is prob of sequence kk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -61 in 0.3, 2, 0.1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -8*b - 19. Let x be i(13). Calculate the remainder when 2\/5 - x\/5 is divided by ((-28)\/(-8))\/(1\/4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**2. Let q(s) = -s + 1. Let g(x) = 8*x - 11. Let d(v) = 24*v - 34. Let m(a) = -5*d(a) + 16*g(a). Let b(o) = m(o) + 6*q(o). Determine z(b(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 244 and 898774.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 274048621?\nAnswer: 7, 11, 508439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 8*u - 2. Let x(d) = 992*d - 13. Let q be x(3). Let l(s) = -2963 + q + 2*s**2. Give l(i(c)).\nAnswer: 128*c**2 - 64*c + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (-29 - -12) - (-2 + 0 + -8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eueu when four letters picked without replacement from euzzzeuzu?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 928 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**3 + 5. Let u be l(0). Let w(d) = d**2 - 1. Let r be w(-3). Suppose -a - r = -h + 3*a, 5*h = -a - 2. Put h, 1, u in decreasing order.\nAnswer: u, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(65)\/sqrt(5) - sqrt(13)) + 0 - (sqrt(104)\/sqrt(2))\/sqrt(4))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -128153, -257810, -387479, -517166, -646877, -776618, -906395?\n\"Answer: -n**3 - 129650*n + 1498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 10224401 (base 5) to base 8\nAnswer: 250322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 845.39299 to the nearest ten.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1216, -1148, -1080, -1006, -920, -816, -688, -530?\n\"Answer: x**3 - 6*x**2 + 79*x - 1290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 4*t = -5*n + 92, -5*t - 67 = -2*n. Let j(l) = -7*l - 26. Let w = -30 - -26. Let s be j(w). What is the greatest common divisor of s and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -76568 (base 10) to base 6\nAnswer: -1350252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 11491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -721, -3045, -6919, -12337, -19293, -27781?\n\"Answer: i**3 - 781*i**2 + 12*i + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 4*f + 39. What is p(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the second derivative of 1\/168*n**7 + 0*n**2 - 1\/40*n**6 + 3\/80*n**5 + 0*n**3 - 4*n + 0 - 1\/48*n**4. Suppose h(a) = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1d751 (base 15) to base 7\nAnswer: 550216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**2 + 12*x + 32. Let d be p(-9). Solve 0 = -4*l + d*j - 1 + 5, 2*l = 2*j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 122 - 111102201?\nAnswer: -111102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.17 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*q - 4 - 22*q + 9*q.\nAnswer: 8*q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 45 divided by 460\nAnswer: 9\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of p**2*r**4 - 748*p**2*r**3 + 6*p**2*r**2 - 2*p**2*r + 38*p*r**2 - 2*r**2 wrt r?\nAnswer: 24*p**2*r - 4488*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 237, 428, 605, 774, 941, 1112, 1293, 1490?\nAnswer: 1709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 40662 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 51793 + 2*s**2 - 7*s + 168*s**3 + 11*s - 51791 to the form y*s**3 + n + i*s**2 + r*s and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8887\/3703 - 1\/18515. Let n = -10009\/10 - -1000. Let r = n - t. Which is the nearest to 2\/3?  (a) 1\/3  (b) 0.02  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 566585 + 84*p**3 - 82*p**3 - 566600.\nAnswer: 2*p**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o**2 - o**3 - 2*o**2)*(-3 - 2*o + 3) + (-8*o**4 - 3*o**4 + 2*o**4)*(-5 + 9 - 1) + o**4 + 3*o - 3*o.\nAnswer: -24*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 122933715 divided by 122933715.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1\/67 + -605\/134. What is the nearest to -2\/5 in m, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (8\/(-10))\/((-4)\/130). Let l = 27 - t. What is the greatest common divisor of l and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 10*k + 4. Let m(o) = 3*o + 1. Let s(n) = -8*m(n) + 3*x(n). Suppose -3*i - 4*w + 13 = 0, -4*i - 2*w - 2*w = -20. Is 16 a factor of s(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2583 or 2568?\nAnswer: 2583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-34)\/12 - 1\/6. Let h(l) = -14*l**2 - 12*l. Let i(a) = 13*a**2 + 13*a. Let o(t) = n*i(t) - 4*h(t). Find the second derivative of o(f) wrt f.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*o + 1030 = 117*o + 278 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3848 + -3847.88. Which is the closest to 0.1?  (a) t  (b) 3  (c) -15\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -2072*k**4 - 12*k**3 + 6216*k**2 + 4180*k + 24 = 0.\nAnswer: -1, -3\/518, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9 - -14. Suppose 0 = m*o - 16 - 14. What is the remainder when o is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 58612004 rounded to the nearest one million?\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 661 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i + 58. Let b(h) = 1. Give -3*b(s) - d(s).\nAnswer: s - 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 11762.4 rounded to the nearest 100?\nAnswer: 11800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2966 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -39 (base 14) in base 13?\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**3 - 25*c**2 - 27*c - 93. Let y be r(-24). Let p be (-2*y\/(-56))\/((-2)\/8). Solve -2 = -5*q - p*v, -2*v = -q + 2*v + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -147121, -294194, -441267, -588340, -735413, -882486?\nAnswer: -1029559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 404013 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 9 - (0 + (-2)\/(-2)). Suppose 5*h = -2 + 12. Suppose h*o + 168 = 9*o. What is the greatest common divisor of y and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q - 2*g + 8 = -3, 4*q + 5*g = -30 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j, 1 z, and 1 n when three letters picked without replacement from jnniz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**3 + 3*c**2 + 4*c - 4. Let n(v) = -v**3 + 3*v + 1. Let k = 3 - 5. Let m be n(k). Let u be t(m). Calculate the highest common factor of 32 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the third derivative of -x**4\/24 - x**3\/3 - 6*x**2. Give a(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 4 - 10 = 0. Suppose -u*v + 11*v = 64. Let y(k) = -k + 16. Let g be y(v). Solve g = -2*a - 2*a - 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-778)\/570 - 176\/5016?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (459\/1224)\/((-7)\/(-16))*-14\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1072 = -3*f - l, 0 = 3*f - l + 383 + 687. Let w be (-6)\/51 + 162\/f. Let t = -0.06 + -3.94. Which is the biggest value?  (a) -3  (b) t  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from {m: 2, r: 6, g: 4, i: 3, p: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the first derivative of 7*l**2 + 21*l - 9. Let c(w) = -7*w - 10. Let n(h) = 5*c(h) + 3*k(h). What are the prime factors of n(6)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-133)\/(-28))\/((-2)\/(-16)). Let x = a - 31. Suppose -2*j + 928 = 2*c, -2*j = -x*j + 3*c + 2344. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -168586.8907 + 168576. Let h = -10.9 - w. Round h to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**3 - 7*m**2 - 2*m + 6. Let b be u(7). Suppose -5*z + 4*z = 4. What are the prime factors of (-110)\/b + (-1)\/z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -394*k**2 - 201*k?\nAnswer: -788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1745 - 4?\nAnswer: 1741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -36048, -72095, -108142, -144189, -180236, -216283?\n\"Answer: -36047*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8 + (2574\/27)\/(-11). What is the closest to q in -8, -5, 0.31?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + o = -18 - 19, -3*w = -o - 55. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 86 is divided by 69?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37960*k + 21168*k - 53358*k.\nAnswer: -70150*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24 - (5 - (-18 - (14 - -35)))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(7\/6))\/(x*x**(1\/23)\/x*x) assuming x is positive.\nAnswer: x**(-167\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 113049.\nAnswer: 3, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z + 7 + 5, 0 = -4*i - 5*z + 1395. What is the highest common divisor of 46 and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6294 = -558*u + 23935 + 9143. What is the remainder when 322 is divided by u?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -15.468 + 660.478. Let a = p + -677. Let s = 32 + a. What is s rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 44 + -29. What is the remainder when 44 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10001 (base 2) to base 5\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -6 divided by -142596\nAnswer: 1\/23766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 minutes before 11:38 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 l and 1 q when four letters picked without replacement from {v: 3, q: 1, l: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l*l*l*l*l**(-2\/9)*l))**1\/((l*l\/l**(-1\/5)*l)\/l*l*l**(-11)) assuming l is positive.\nAnswer: l**(181\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, 0.3, -1125, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 18 = 3*f, 0 = 3567*h - 3568*h + f + 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 + ((-8 - -15) + (6 - 1) - 5).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 231238772.\nAnswer: 2, 57809693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 151, 567, 1245, 2173, 3339, 4731?\n\"Answer: -2*j**3 + 143*j**2 + j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1093  (b) -563  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q + q + 8*q - 3*q. Let r(s) = 14*s. Let i(t) = 17*o(t) - 6*r(t). Let c(l) = -l. Give c(i(x)).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1150 a factor of 4583900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 - 11100110101010110011?\nAnswer: -11100110101010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 120428*f. Let l(j) = -192*j. What is p(l(z))?\nAnswer: -23122176*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**3 + 7*v**2 + 4*v - 5. Let c(f) = f**2 - 14*f + 47. Suppose -4*w + 31 = -5*q, -5*w + 3*w + 14 = -2*q. Let k be c(w). Calculate o(k).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1294778 is divided by 317?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 39125.35ml?\nAnswer: 39.12535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 69455239 to the nearest integer?\nAnswer: 8334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-165)*-1)\/(6\/15)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.42992 rounded to two dps?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 771, 18, -2, -222 in decreasing order.\nAnswer: 771, 18, -2, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6723 - -6697) + (0 - -74).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53*u**3 + 124*u**3 + 84*u**3.\nAnswer: 155*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2903051 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(78)\/(sqrt(6)*3) - 3*sqrt(637))**2.\nAnswer: 50008\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = 4*t + 2*n, -3*t = 292*n - 297*n - 16. Is t smaller than -30\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11*(-24)\/(-44)*(-10)\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 31*y**2 + 27*y**2 - 18*y**2 + (y + y - 4*y)*((-3*y + 2 - 2)*(2 - 1 + 1) + y - 5*y + 6*y + (-3 + 3 - 1)*(6*y - 4*y - y) + 0 + 0 + 2*y - 2 + 2 + 4*y).\nAnswer: 38*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 322 + -296. Suppose -2*o - 9*u + 13*u + s = 0, -o - 2*u = 3. Solve 1 = 3*n + 4*q, -o*q + 11 - 1 = 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 34007712?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -40 - -39.93. Let v = -0.02 + p. Which is the second smallest value?  (a) -3  (b) v  (c) -1  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -17*n + 16*n + 16 - 19. Determine q(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 6\/5 of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*y - 113 - 335. What is the greatest common divisor of 32 and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 127 and 1853725909.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = h + f - 5, 3*h - f = 83. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 35910 divided by -5\nAnswer: -7182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -990949*q**3*s**3 + 9*q**3*s**2 - 34*q*s**3 - 11567*s**3 wrt q?\nAnswer: -5945694*q*s**3 + 54*q*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -21*h**2 - 337*h - 13. Calculate the remainder when 251 is divided by o(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*y + 76 = 84. Is -17\/9 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -3*o + 19. Let p = o - 8. Let b(z) = -2*z**2 + 305*z - 1476. Let j be b(5). Sort p, 1, j in increasing order.\nAnswer: p, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*s - 12*s + 9*s - 7*s.\nAnswer: -33*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 187128 is divided by 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (290316 + 535*a - 290316)*(4*a**3 + 0*a**3 - a**3).\nAnswer: 1605*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -312*p**2 - 3 + 147*p**4 - 180*p + 1277*p**2 - 539*p**2 - 420*p**3 + 30 = 0.\nAnswer: 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - v = -0*v + 31, 0 = -c - 5*v - 29. Let d(k) = -10*k**2 - k. Let p be d(1). Let o = p - c. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.05373843 to 3 decimal places.\nAnswer: -2.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-2)\/(-3) - 7\/21)*30. Calculate the remainder when 25 is divided by 1\/(r\/15*(-3)\/(-14)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nbgblnbnwnrgn. What is prob of sequence bwrn?\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*-6.64284.\nAnswer: -19.92852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that l**4 - 16509*l**3 + 362854*l**2 - 2308380*l + 3297400 = 0.\nAnswer: 2, 10, 16487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2588977499?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2579439*r**3 + 1287127*r**3 + 1292324*r**3.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 941777 divided by -6?\nAnswer: -941777\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 268 a factor of 372310960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1773 * 2.5.\nAnswer: 4432.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 18977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 589.\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1106\/(-90) - (-58)\/(-87) - (-11 + -2)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.9896 * -131.\nAnswer: 391.6376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-927)\/(-7) + 27\/(-63). Let a = p - 658\/5. What is the nearest to 0.2 in -0.2, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -241916 divided by 60479.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 899 is divided by 831?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 140901 and 2019581?\nAnswer: 6058743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -4*3\/(-48) + 1068\/16 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 834708 times 0.5?\nAnswer: 417354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 112 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*a = 19*a + 32. Calculate the highest common factor of a and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4 - -1)\/((-15)\/95). Which is greater: m or 14?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -2*x - 12. Differentiate d**2 - 2*d**2 + x - 1 wrt d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 121\/11808 and 67\/120.\nAnswer: 59040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let 2\/3*q**2 + 216 - 24*q = 0. Calculate q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00065802863 rounded to 5 dps?\nAnswer: 0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -1, 4321, 2.88, -5, -0.1, 0?\nAnswer: 4321","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b - 11 + 32 = 2*w, 5*w - 54 = -4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 575 and 2825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ciexeiiccxcfxxeexc. Give prob of picking 1 e and 1 i.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 103 + 23 = 0. Let q = 17 - y. What is the lowest common multiple of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(3 + (sqrt(343) + (-4*sqrt(343)*-1 - sqrt(343) - sqrt(343)) - (3 + sqrt(343)*-4)) + 4))**2.\nAnswer: 14112*sqrt(7) + 605628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -236 + 404. Let k(c) = c**3 + c - 46. Let y be k(0). Let w = -25 - y. Calculate the greatest common factor of w and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*((1 + sqrt(180) + -4 - (5 + -1*sqrt(180))) + (sqrt(180) + -1 + -2)*-6) + -5)**2.\nAnswer: -6720*sqrt(5) + 47305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((4*(0 + sqrt(72)))**2 - sqrt(72)) + (sqrt(72)*2*1 - (-1 + (-2*sqrt(72) - sqrt(72)) + sqrt(72)))**2.\nAnswer: 42*sqrt(2) + 2307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 - 1. Let u = n - -4. Suppose f + 2 = -f. Sort f, -3, u.\nAnswer: -3, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**2 + 3*b - 15. Let n be i(-7). Suppose 11*v - n*v + 5042 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002209303 to 4 dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -455 - -455.2. Let i = 1 - -2. Which is the nearest to 4\/5?  (a) j  (b) -0.2  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(704) + -1)**2 + (-2*sqrt(66)\/(sqrt(6)*1))**2.\nAnswer: -96*sqrt(11) + 784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 5973 = 3*m, -5*m = z - 491 - 1484. Let q be (-9)\/(-6) + z\/2. Let w = 1419 - q. Round w to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((y\/(y*y\/(y**13\/y)))\/y)\/y)\/y**(-3))\/((y*y**(-11))\/(y**(1\/5)\/y)) assuming y is positive.\nAnswer: y**(106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**2 + 342*t - 692.\nAnswer: 2*(t - 2)*(t + 173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x + 3 - 3)*(-x**2 + 1 - 1) + (x - 2*x + 3*x)*(-x**2 - 3*x + 3*x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 2*h**3\/9 - 784*h**2\/9 + 9826*h\/9 + 10612\/9 = 0.\nAnswer: -1, 14, 379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 693 a factor of 213352132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1, 326, -1.6, 5, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1082171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 32984 by 4.\nAnswer: 8246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3422 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in thirty-four fifths of a meter?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17746?\nAnswer: 2, 19, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (35 - 45) + (-10 - -8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((v - 4*v + 5*v)*(-1 - 3 + 5) - 3*v + 12 - 12)*(-6 - 5 + 0).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1174\/7 + -2341\/14. Let h = -25 + 51\/2. Factor -h*v**3 - 1\/2*v**4 + 1\/2*v + 0 + u*v**2.\nAnswer: -v*(v - 1)*(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -8\/7 greater than -1640?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-2))\/(1 - (-28)\/(-35)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-12)\/7)\/((-16)\/(-112)). Let t be (-48)\/v - (-4)\/(-1). Which is smaller: 4\/23 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6 + (-2)\/4*6. Suppose -j*r - m - m + 13 = 0, -5*m = r. What is the derivative of 0*n - 4 + r*n + 6 + 2*n wrt n?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ob when two letters picked without replacement from ouopbbubppopbbbopb.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 19 + -18.91. Let p = 66 - 7. Let v = -57 + p. Are q and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-26)\/(-65) + (-2)\/(-20). Are 0 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -4*l**2 - 1164*l + 1168 = 0.\nAnswer: -292, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -57, -135, -245, -405, -633, -947, -1365, -1905?\nAnswer: -2585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the first derivative of 5*i**4\/4 + 10*i**3\/3 - 10*i**2 - 40*i + 44. Factor z(c).\nAnswer: 5*(c - 2)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -15 - 3) + (-53 - -19) + 29\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 230481539?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17745 = -1354304*k + 1354577*k for k.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.1 - 350657.9121.\nAnswer: -350656.8121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 21 - 13. Let y(a) = -6*a + 3*a**2 + a**3 + 2*a + 4 + 26*a - 12*a**2 - a. Does 11 divide y(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1447.488881 rounded to one decimal place?\nAnswer: -1447.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -168.75 - 3250.05. Let k = -3517.938 - z. Let u = -99 - k. What is u rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6111*r + 5520 wrt r.\nAnswer: -6111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**3 + 6*c**2 - 2*c - 7. Let j be v(-6). Let a = -10 - -6. Let z be (-3)\/9 - a\/(-6). Put z, 4, j in descending order.\nAnswer: j, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.09982*-0.4.\nAnswer: -0.039928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (1690*u**2 + 139*u**2 - 646*u**2)*(-3*u**2 - 2*u**2 + 3*u**2) in the form p*u**2 + j*u**3 + b + n*u**4 + s*u and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1211 is divided by 86.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h**2\/3 - 8249678*h\/3 + 17014296775921\/3 = 0. What is h?\nAnswer: 4124839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d + 10. Let b be 3\/(-12) + 23\/(-4). Let l be y(b). Suppose n + 3 = l. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 4*u + 297, 4*u + 247 + 22 = -k. Let q be -1 - -64 - (-3)\/3. Let p = q + u. Let x(i) = i**3 + 5*i**2 - 4*i - 2. Calculate x(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 0.48, -4, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p = 20, -189 - 235 = 4*n + 105*p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d\/(d*d**(-6)))**9 assuming d is positive.\nAnswer: d**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -326, -672, -1018, -1364, -1710, -2056?\nAnswer: -2402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 - m**2)*(-m**3 + 0*m**3 + 3*m**3) - m**2 + m**2 + 3*m**5 + (2*m**4 - m**3 + m**3)*(-4*m + 4*m - 2*m) - 3*m**5 + 5*m**5 - m**5.\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t + x = -23, 2*t + 4*x + 57 = 63 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 196*j**6 - 5*j**2 wrt j?\nAnswer: 23520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 195895?\nAnswer: 5, 7, 29, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = -0*y - 5*y + 215, -4*y + 12 = 0. Let v be ((-64)\/i)\/((-4)\/10). Find the first derivative of -6 - 7 + 11*q**4 + 23*q**v - 5*q**4 wrt q.\nAnswer: 116*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 20\/1197 + -291689\/1197. Let i = b - -248. Calculate the common denominator of i and -151\/78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand u**2 - 5*u**2 + 3*u**2 + (25*u - 19*u - 21*u)*(-5*u + 2*u + 0*u - u + 0*u - 2*u + (4 - 2 + 0)*(2 - 2 - u) - 6*u + 3*u + 2*u).\nAnswer: 134*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes before 9:58 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -187\/1543860 and 11\/48.\nAnswer: 6175440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -56084 divided by 14021?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1921590.\nAnswer: 2, 3, 5, 11, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 55701919 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -15758758.079 - 1735.\nAnswer: -15760493.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 0 - (-52 + 0\/(-1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -150, 3, -5, 1 in decreasing order.\nAnswer: 4, 3, 1, -5, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*p + 3*j = 3*p + 173, 2*j - 103 = -3*p. Let m be 15\/20 + 3\/(-36)*-87. Suppose 0 = m*q + 3*q - 1177. Calculate the remainder when q is divided by p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes before 7:51 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 2*a**3 - 4*a + 3. Let f(d) = -2 - 4*d + d - d**2 - d. Let o be f(-2). List the prime factors of t(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 90*f + 717. Let y be h(-8). Suppose -3*w - w + 34 = 3*c, -c - w = -11. Put c, y, -2 in descending order.\nAnswer: c, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 518 and 104?\nAnswer: 26936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 34\/5 and -101\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of u + 1149*u**3 + 25667*u**2 + 25665*u**2 - 51330*u**2 - 10*u - 67 wrt u.\nAnswer: 6894*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -2*u + 14. Let k be f(7). Let c(g) = -g**3 + g + 51. What is the tens digit of c(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -220, -399, -576, -751?\nAnswer: -924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1213\/7 + -173. Let a = -0.05 - -0.1. Let d be (2\/(-4))\/(-1) - 110\/165. Sort u, a, d in descending order.\nAnswer: u, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes before 7:36 PM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 16453663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = -4*k + 9, -v - 25 = 4*k. Let r be (9 - 4) + v\/1. Solve -2*a + 0*a = r for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 - (-2 + -6))*(-3)\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -504375 by -168125.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 355170\/7 or 50740?\nAnswer: 50740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((15\/(-10))\/(-1))\/(-6*(-13)\/(-728)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.049 take away 38641?\nAnswer: -38640.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20*r + 20*r - 19*r**2)*(0*r**2 - 4*r**2 + 3*r**2) + (5 - 2 - 1)*(0*r**3 - r**4 + 0*r**3).\nAnswer: 17*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 184, 758, 1710, 3052, 4796, 6954, 9538, 12560?\nAnswer: 16032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 5*l + 1 = -4, -4*s = l - 7. Let i(u) = s*u**2 + u + 0*u + 2*u**3 + 5*u**3. Calculate i(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*o + 184434 = 8*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -5*y - 4*q, -16 = -2*y + 2*q - 2. Let d = 27\/118 - -5\/236. Factor -3\/4*i**2 + 1 - d*i**y + 0*i.\nAnswer: -(i - 1)*(i + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 317 and 74178?\nAnswer: 74178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 112 (base 3) to base 14\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 4*d**3 - 6*d. Let a(r) = 3*r + 6*r - 9*r**3 + 4*r. Suppose -3*w + 5*v + 63 = -0*v, 3*w - 42 = -2*v. Let i = -10 + w. Determine i*a(t) + 13*l(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o - b - 97, o - 5*b - 29 = -0*o. Let w(v) = -2*v**2 + 36*v + 58. Let l be w(o). Solve -4*k + 0 = l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -14077, 15683, 65291, 134753, 224075?\n\"Answer: z**3 + 9918*z**2 - z - 23995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**3 - 7*r**2 + 9*r + 6. Let g be k(-8). Let x be 0 + g*1\/2. Let h be ((-79 + 2)\/1)\/x. Calculate the greatest common factor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22 - 31 - 25 - 2*p**2 + 78.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*l = -g - 17*l, -3*g + 3*l - 15 = 0. Let p = 28 - 25. Suppose 0 = 5*i, 4*i + 5 = 7*j - 2*j. Put j, p, g in descending order.\nAnswer: p, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes after 8:41 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 7*t + 127. Let q be f(-18). Solve 2*w + q - 7 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 10) to base 2\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -34*a**3 + 13*a - 46*a**3 + 0*a**3 - 31*a**2 + 8 + 6*a**2. Let p be i(24). What is p rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 3*v + 161484 = 0, 3*v - 101073 - 114245 = 4*h. Round h to the nearest one thousand.\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11 + -11. Let n be u*(-7)\/70 + (-2)\/10. Suppose -n*o - a = 3*o - 2350004, 2*a = -4*o + 1880008. What is o rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes after 10:17 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.002, -0.3, 4, 81?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 276 divided by 21.\nAnswer: 92\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 + 99 = 4*f - 4*c, -f = 5*c - 52. Solve -5*n = -14*n + f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -p - z, 2*z = 2*p - 11 + 19. Solve p = 65*v - 73*v + 32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 x, and 1 h when three letters picked without replacement from lzhxi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-140)\/42 + (-2)\/(-6). What is the closest to -2\/11 in 5, q, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a**3 + 8*a**2 + a + 10. Let r be l(-8). Suppose r = -7*g + 254. What is the remainder when g is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 8 and -660241144.7.\nAnswer: -660241136.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(720) + (sqrt(720) + 1 + -5 - sqrt(720)) + sqrt(720) - sqrt(720)) + -1 + (sqrt(720) + 1 + sqrt(720))**2 + 5)*-5.\nAnswer: -14430 - 300*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 775784.7 seconds in hours?\nAnswer: 215.49575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 16409213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**2 - 3*y - 4. Let d be w(5). Factor t**2 - d*t + 4*t - 2*t**3 + 3*t**2.\nAnswer: -2*t*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate x**3 - 27*x + 42 with respect to x.\nAnswer: 3*x**2 - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (1*(sqrt(200) - sqrt(200)*2))**2 - 2*(0 + sqrt(288))*-1.\nAnswer: 24*sqrt(2) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**27\/l**(12\/7)*(l\/(l\/((l\/(l**(-3\/8)*l))\/l)))**26 assuming l is positive.\nAnswer: l**(253\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (8 - 31)\/((-2)\/(-4)). Does 8 divide -4*(0 + c\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 96  (b) 0.3  (c) -5  (d) 2\/57  (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 536\/(-38) + 16\/152. Put 0, -2, l in descending order.\nAnswer: 0, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9575.68 centuries in millennia?\nAnswer: 957.568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 74 a factor of 2581160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4022, 8042, 12062?\nAnswer: 16082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 293813 divided by 8.\nAnswer: 293813\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**3 + w**2 + w + 1. Let q be o(-1). Suppose 6*p - 2*p = 20. Factor 3*b**p - 4*b**3 + 6*b**2 + 3*b**4 - 6*b**4 + b**3 - 3*b**q.\nAnswer: 3*b**2*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-124)\/60*3 + (-12)\/(-15). What is the nearest to u in 0.5, 2\/15, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1570*o + 829 - 3969 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*n - 5*n - 16*n**2 - 4*n - 3*n + 17*n as b + k*n**2 + m*n and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22205890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 264 + -230. Solve d*w + 15 = 29*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31420?\nAnswer: 2, 5, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-4)\/(16\/(-113)))\/((-9)\/(-36)). Let a = -103 + o. Solve 12*t - 2 = a*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 6, l: 2}. Give prob of sequence yyl.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18798, 37579, 56360, 75141, 93922?\nAnswer: 112703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 - 74. Let p = t - -92. Suppose c = 2*n - 3675, 16*n - c = p*n + 1838. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**3 + 32*k**2 - 64*k - 64. Give b(30).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1339 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*y + 31 = -50*y - d, -6*d + 33 = 3*y - 9*d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -10, -1, 8?\n\"Answer: 9*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - 259 - 101. What is the highest common divisor of h and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i**2 - 11*i - 729. What is w(-30)?\nAnswer: 501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 763*w*y**2 - 159*y**2 wrt w.\nAnswer: 763*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 6, w: 4, g: 2, r: 1, m: 4}. What is prob of sequence dwww?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -8*x + 46. What is g(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8240 divided by 80.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 3*u - 2. Let a be j(2). Suppose a*f - 5*f + 1 = 0. Suppose h - 2 = -f. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -111 - -114 - (1 + (-1 - -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 14 - y - 3*y - 24. Suppose 0 = -3*a + 13 - 43. Is z(a) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * -189471.\nAnswer: -56841.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11 - 7. Let o(g) = 5*g - 2. Calculate the least common multiple of 10 and o(r).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 73*a**3 + a**2 - 3*a - 2. Let q be y(2). Calculate the remainder when 285 is divided by (25\/3)\/(13 - q\/45).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3466661 (base 7) to base 9\nAnswer: 735368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -24.88 and -1.7.\nAnswer: 42.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30 - (14 - -1) - (1 + -2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 206040 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Do 13817302 and 13817296 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 14319 and 9?\nAnswer: 14319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -9*d - 58. Suppose 4*z = 4*l + 12, l + z = -0 - 11. Let n be o(l). Solve -2*p + m - 3*m = 16, 3*p - n*m = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**3*b\/(b*b**(3\/7))*b*b**(-11)*b*b\/b**(2\/3))**(-4) assuming b is positive.\nAnswer: b**(512\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3)\/(-14) + 2 + (-45)\/18. Which is the nearest to 0.01?  (a) -31  (b) l  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(3 + (4 + 2 + sqrt(1377)*-2 - (sqrt(1377) - (2 + 1 + sqrt(1377)) - (-2 + sqrt(1377) + -2 - sqrt(1377))))**2).\nAnswer: -11072 + 360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 38.88 + -38. Let v = i - 1. Round v to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11*n**2*q*z + 5*n**2*q + 21704*n**2*z - n**2 + 2*n*q - 21*n - 24166*q*z + q wrt n?\nAnswer: -22*q*z + 10*q + 43408*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -71755 or 1574?\nAnswer: -71755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 976 equal to 976?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 40 + -39. What is the remainder when 3 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1\/424 + -837\/4664. What is the nearest to 1 in 4, j, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/24)\/((8\/12)\/(-2)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 560 - 500. Solve -o - l = -13*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**(-23))\/(q\/q**(-1\/27)*q)*(q*(q\/(q\/(q**(-20)\/q)))\/q*q)\/(q**12\/q))**(-15) assuming q is positive.\nAnswer: q**(1220\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(-1))\/g*g*g*g**(-1))**(5\/13)*(g\/((g*g**(-1\/5)*g)\/g)*g**(2\/15)*g)**33 assuming g is positive.\nAnswer: g**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -460 (base 12) to base 16\nAnswer: -288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5325?  (a) -4  (b) -12\/5  (c) 1\/2  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23 + 4 = -5*s - 2*y, 0 = -2*y - 6 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/6*120\/45.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -99.6200867 to 2 decimal places.\nAnswer: -99.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**3 + 14*t**2 + 14*t + 26. Let o = 34 + -10. Calculate the remainder when o is divided by i(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-21)\/(-3)*(-3)\/36*-4.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 280 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -18*i**2 + 38*i**2 + 119*i**2 - 7*i**2 + 2*i**2 + 2*i**2 + 4*i**2 + i**2 - 3*i**2 + (i**2 + i**2 + 0*i**2)*(-5 + 1 + 3) - 2*i**2 + i**2 + 2*i**2.\nAnswer: 137*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 22 + -39. Let h = -8 - w. What is the remainder when h is divided by 1\/(-4 + 21\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the second derivative of -h**3\/6 - 3*h**2\/2 + 5*h. What is q(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -102122022102 (base 3) in base 2?\nAnswer: -110111111100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.9, -0.06, -5, -0.3, 6 in decreasing order.\nAnswer: 6, 0.9, -0.06, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 95.642574 and -0.4.\nAnswer: -38.2570296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = 4*p. Let w be (-1)\/(p - -1)*(-1 - -1). Factor -2\/9*t**3 + w + 2\/9*t + 0*t**2.\nAnswer: -2*t*(t - 1)*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.1 + 0.9. Let u = 327.4 - 327. What is the closest to t in 2\/9, u, -1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 56 and 216295842?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 48 = 5*v, -31 = -5*v + 2*s + 21. Suppose 5*q - v = q. Suppose -5*i - 4*h - 27 = 0, 0*i - 3 = -4*i + 5*h. Put 4, i, q in descending order.\nAnswer: 4, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 4*a - 4. Suppose -3*u - 2*w = -0*w + 5, -u - 11 = a*w. Let j be 27\/(-114)*(-336)\/126. Which is smaller: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 + 493c06?\nAnswer: 493c05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3534 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -116 + 116. Solve -2*f = -v*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1385*s + 4133*s + 62698*s**2 - 1355*s - 1393*s + (-s - 2*s + s)*(-s + s - s).\nAnswer: 62700*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1\/((-1)\/3) - (-2 - 21) and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -420 - 414 - y + y**2 + 834. Let a(q) = -3*q**2 - 4*q + 1. Give -a(u) + 3*c(u).\nAnswer: 6*u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**2 - w. Let l(t) = -2*t**2 + 23*t - 50. Let k be l(7). Let v(n) = -5*n - 17 - 16 - k + 47 + n**2. Calculate -3*g(z) + v(z).\nAnswer: -2*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58032 + 4164 = -155*b + 21*b. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 417*g**3 - g + 10. Let x be s(8). Let c = 513506 - x. Suppose c = -5*i + i. What is i rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*j + 135 = -404. Calculate the remainder when 307 is divided by j.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 2 d when three letters picked without replacement from dkxkkktkxkdksd.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(((y\/(y\/(y**(-2)*y)))\/y)\/y))\/(y*y*(y*y*y\/(y**9\/y))\/y))\/(y**(1\/11)\/y**(1\/4)) assuming y is positive.\nAnswer: y**(359\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 203b + 2?\nAnswer: 2040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1\/8 - 3\/8*p**4 + 5\/4*p**3 + 3\/4*p - 3\/2*p**2 = 0. What is p?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 160144661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnpnntnntiin. What is prob of sequence nit?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1c0ba - -4?\nAnswer: 1c0c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - -5) + (5 - 9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 18787 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 7. Let l(w) = -6 + 2 + w - 2 + 0*w. Let k(z) = -4*l(z) - 3*n(z). Let b(q) = -7*q + 5. Suppose 0 = -s + 4 + 1. Give s*k(p) - 3*b(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 79, 157, 235, 313, 391, 469?\nAnswer: 547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 90794693, 181589386, 272384079, 363178772, 453973465?\nAnswer: 544768158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the second derivative of z**6\/540 + z**5\/90 - z**3 - 9*z. Let f(r) be the second derivative of b(r). Factor f(g).\nAnswer: 2*g*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -2*((-58)\/4 - 4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -42857*y**4 + 519*y**3 - y**2 - 46907690*y wrt y?\nAnswer: -514284*y**2 + 3114*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7*l - 26*l - 6*l)*(-4*l - l + 4*l + (-4*l + 3*l + 2*l)*(1 + 3 - 6) + 4*l + 2*l - 4*l + l + 8*l - 6*l) to the form x + c*l + q*l**2 and give q.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 260 + -263. Let c(d) = 16*d + 50. Let r be c(x). Solve r*l - 1 = 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 3*a**3 + 11*a**2 - 8*a + 30. Suppose -1203 = -163*h + 178 - 77. Let l(t) = 2*t**3 + 7*t**2 - 5*t + 20. Calculate h*l(o) - 5*g(o).\nAnswer: o**3 + o**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the third derivative of -q**9\/63 - q**8\/168 - 132*q**5\/5 - 91*q**2 - 7*q. Find the third derivative of s(l) wrt l.\nAnswer: -960*l**3 - 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 2*x + 10 = -3*x, -4*t + 2*x = -12. Let k(h) = -2*h**3 + 7*h**2 + 6*h - 4. What is the remainder when 22 is divided by k(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.1991 from 23.\nAnswer: 22.8009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1004663*w**2 + 82*w - 1004663*w**2 + 15*w**3)*(0 - 1 + 0).\nAnswer: -15*w**3 - 82*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 6) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -27\/32402 and -103\/520338?\nAnswer: 8845746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -4, 2, 4, 0, -190.\nAnswer: -190, -4, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -30, -28, -26?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 2*k + 8 - 143 = 0, -15 = 5*k. Let d = y - -53. Calculate the greatest common divisor of 3 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that 23*n**2\/3 - 4901*n\/6 + 1325\/3 = 0.\nAnswer: 25\/46, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -12953*x**2. Let h(k) = -13*k**2. What is r(h(a))?\nAnswer: -2189057*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 5, q: 7}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 5*g + 2132 = 0, -5*r - 2*g = -10682 + 68. Suppose -12*z = -13*z + r. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -20 + 10. Let j be (-406)\/(-35) - 4\/t. Suppose -4*a + 2*b + 22 = 0, -a + 6*b = 2*b + j. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 20b + 4?\nAnswer: 20f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 321*w**3 + 54*w - 111*w + 57*w - 311*w**3 + 68*w**2.\nAnswer: 10*w**3 + 68*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 99 a factor of 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q + 75 + 25. Calculate the greatest common divisor of 60 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aqvvvqaqvv. Give prob of picking 3 q and 1 v.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -2.11, 0.05, -4 in descending order.\nAnswer: 0.05, -2.11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 6, d: 4}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3081159?\nAnswer: 3, 38039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.7 + -20.3. Let x = r + 21.6. Which is the third smallest value?  (a) x  (b) -1  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2\/(-10))\/((-1397)\/4169). Let o = 2\/635 + q. Which is the nearest to 0.1?  (a) -0.08  (b) o  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -13409.413 to the nearest 100.\nAnswer: -13400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 14179797759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 12 = 0, -4*y - 5*v + 121 = 498. Let p = y + 101. Solve 3*c + 30 = p*n, -4*n + 15 = c - 0*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 - -2043325151?\nAnswer: 2043325155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10297 (base 11) to base 14.\nAnswer: 5669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 2587*c - 36228. Give j(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -60 - 1.84487.\nAnswer: -61.84487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -143 + -1857. Let c be 249*(l\/12)\/5. What is c rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22466892?\nAnswer: 2, 3, 7, 19, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -2 + -4 + 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -87  (b) -3\/7  (c) -682.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.02 and -6.1.\nAnswer: -6.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 159992 = -5*d, 4*d + 11653 - 139646 = 3*k. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -27?  (a) 131  (b) 0.2  (c) 2  (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -498 - -147. Let u = s + 1753\/5. Which is the closest to 0.01?  (a) u  (b) -0.5  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 27*z. Let m(u) = -2*u + 8. Let q = 41 - 45. Let d(n) = -2*n + 10. Let l(j) = q*d(j) + 5*m(j). Determine k(l(f)).\nAnswer: -54*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1339692.\nAnswer: 2, 3, 111641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.11 - 3.89. Let t = -5906 + 5912. What is the closest to -0.1 in 3\/5, t, i?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 441, 1742, 3875, 6810, 10517, 14966, 20127, 25970?\nAnswer: 32465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 20 + 0 = 0. Suppose -4*c + 3*c = 0. Suppose 2*q + c*q - 106 = 3*x, 0 = 3*x + 6. Calculate the highest common divisor of q and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**2 + 5*s - 4. What is the least common multiple of q(-8) and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 378850 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 625569.6 millilitres in litres?\nAnswer: 625.5696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2675651 and 95449.\nAnswer: 3079","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 15 divided by -3784650\nAnswer: -1\/252310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*i**2 - 610*i + 610*i + 2*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + b - 32232 + 142750 = 0, 3*b - 6 = 0. Let o(z) = -2*z + 3. Let d be o(2). Is d\/(-1*4) + c\/(-32) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5707784, 11415570, 17123356, 22831142?\nAnswer: 28538928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -5*b**3 - b**2 + b + 2. Let a(m) = m + 1. Let f(h) = -3*a(h) + p(h). Let l be f(-1). Let t = l + -3. Solve 3*z + 15 = -t*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 plus -4781.653?\nAnswer: -4774.653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 1 + (4 - -6) + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 464 divided by -116?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 4*t = -0*o - 4, 3*o = t + 77. Let q = o + -19. Solve -2*l = -q*l + 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 + -30?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -4*u + 219 + 152, 5*u = -3*x + 460. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 52?  (a) 7  (b) 2  (c) 0.5  (d) 0.4  (e) 5547  (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g + 7 - 19. Let z be 13 + (-6)\/(-3)*g. Calculate the greatest common divisor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.5?  (a) 5  (b) -5  (c) 0.2  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -8001*i**2 + 21*i - 20. Let k be w(20). What is k rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (89991\/202)\/(-81)*189\/(-99)?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 4 = o, 5*f - o = 2*f + 4. Suppose f = 3*d - 2 - 1. List the prime factors of 1 + -2 + 8 + d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7018 and 271084.\nAnswer: 86475796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 47*a - 43. What is the remainder when o(2) is divided by 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -122, -347, -666, -1085, -1610?\n\"Answer: -x**3 - 41*x**2 - 95*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**(6\/11)\/j*j)\/j*j)\/j*j**(-10)*j assuming j is positive.\nAnswer: j**(-93\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (5 - 1) + (-126)\/33. Is o greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dee when three letters picked without replacement from aedaldgaae?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2203 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 15439226 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0 * 50\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 2*u - 4. Suppose 4*n + 4 - 8 = 0. Let d be (6\/(-10))\/(n\/(-10)). Calculate x(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1160 + -460?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 2*s + 3*c, -c - 15 - 9 = -5*s. Suppose 724 - 119 = s*f. Suppose 183 = 5*k - v, 0 = 3*k + 4*v + v - f. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 6901019, 6901018, 6901017, 6901016, 6901015?\n\"Answer: -s + 6901020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i**2 - 46986*i + 93980 = 0 for i.\nAnswer: -23495, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -6 + (-30)\/(-5) + 1266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 2*a + 36 = -0*w, 0 = a + 3. Suppose -5*u + 3*j = 4*j - 30, 5*u = -5*j + w. Let v = u - -24. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1556503, 1556483, 1556439, 1556359, 1556231, 1556043, 1555783?\nAnswer: 1555439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5.16 - -5. Let r = -0.2207 - -0.4207. Which is the second biggest value?  (a) r  (b) 0.4  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4262, 4251, 4230, 4199, 4158, 4107?\nAnswer: 4046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**2 - 5*u. Let t be y(5). Suppose -l + 3 + t = 0. Solve c = -0*o + l*o + 9, 0 = 5*o + 20 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the first derivative of d**3\/3 + 7*d**2 - 15*d + 6. Let l be i(-15). Let u = -0.1 - -0.2. Put u, 4, l in ascending order.\nAnswer: l, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 41*k**2. Let y(u) = 5*u**2 + 7*u + 7. Let h = 45 - 52. Let c(p) = -3*p**2 - 4*p - 4. Let z(q) = h*c(q) - 4*y(q). Give z(o(g)).\nAnswer: 1681*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7810*y**2 + 7785*y**2 - 23360*y**2 + 7766*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -2778020 to the nearest 10000.\nAnswer: -2780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-54)*42*2\/(4*(-14)\/(-24)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -396596 or -396559?\nAnswer: -396596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 10 + (-6 + 11 - 16). Is 12\/29 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q**4\/17 + 566*q**3 - 13511922*q**2\/17 + 4446402282*q\/17 + 4459923828\/17 = 0. Calculate q.\nAnswer: -1, 474, 2169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 5*u - 9. Determine p(8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 36572 and 892?\nAnswer: 36572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-30*9\/(-81))\/(11*(-24)\/(-396))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 9*p**4 + 2*p - 6. Let a(n) = 17*n**4 + 5*n - 11. Let k(g) = -6*a(g) + 11*m(g). What is the second derivative of k(b) wrt b?\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 132561 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2*1\/6)\/((-2)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 5*w**2 - 4*w - 4. Let f be z(4). What is f rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-64)\/22 + 3 + (-798)\/2849. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -5, 2*i - 4*i - 25 = -5*c. Let b = -3 + c. Let d(a) = -a**2 - 85*a + 8 - 90*a - 86*a + 264*a - 10. What is d(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*n + 11*n = -100. Suppose -20*o + 35 = -n*o. Let z = o + 0. Let a(u) = -u**3 - 6*u**2 + 6*u + 2. Determine a(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7997 divided by 6?\nAnswer: -7997\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 506815908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 6, o: 2, w: 9}. What is prob of picking 1 w, 1 o, and 2 l?\nAnswer: 27\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-16)\/(r*r**(-5)))**25)**(-3\/49) assuming r is positive.\nAnswer: r**(900\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -63661 - -1?\nAnswer: -63660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (22264\/51 - (-4)\/34)*24\/20. Calculate the highest common divisor of i and 3537.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -40 times 0.05\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-33)\/66)\/(4\/(-1927976)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:13 PM and 11:25 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*f + 11*z - 1, -4953*f = -4964*f - 3*z - 52 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is (43 + 1)\/(-2 - -3) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes after 4:16 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 588592 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 2*v**2. Let z(n) = -1017*n**2 + 42*n**2 - 166*n - 386*n**2 + 166*n. Determine z(h(x)).\nAnswer: -5444*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of ((-2002)\/(-66))\/((-4)\/(-312))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 6*sqrt(14)\/sqrt(128)*-4.\nAnswer: -3*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -q - 2274. Let w = q + -574. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4425)\/(-288) + 26082\/(-1701)\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11110010100010 - 111101?\nAnswer: 11110001100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the second derivative of 5*q**9\/1512 + q**5\/12 + q**3\/6 - 4*q. Let x(j) be the second derivative of k(j). Find the second derivative of x(b) wrt b.\nAnswer: 200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-11)\/22 - (-5)\/2. Solve 2*i = -z*i - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five quarters of a minute in seconds?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63 is divided by 2\/3 - (-1152)\/54?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the second derivative of -1\/9*v**6 + 3 - 1\/21*v**7 - 3*v + 1\/18*v**4 - 1\/30*v**5 + 0*v**2 + 0*v**3. Factor l(y).\nAnswer: -2*y**2*(y + 1)**2*(3*y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17004009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -3*n + 1. Suppose -5*k = -u - 3*k + 3, -15 = -5*u + 3*k. Let h(v) = 9*v - 2. Determine u*h(c) + 8*f(c).\nAnswer: 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 633 + 4?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -2*f**2. Let y(h) be the first derivative of 3 + 0*h + 0*h**2 - 1\/3*h**3. Give y(o(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1083, -1084, -1085, -1086, -1087, -1088?\nAnswer: -1089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 20109326 to the power of 1\/2, to the nearest integer?\nAnswer: 4484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 - 5a40b2?\nAnswer: -5a40b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -23 - -43. Suppose -3*d + 14 = 4*n - 7, 3*d - n - 21 = 0. Let r = s - d. Calculate the greatest common divisor of r and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 14 = q - 5*q, -3*j + 4*q + 11 = 0. Solve -j*y - 22 = 4*p, 5*y + 3 = -p - 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/8643 and -16\/473.\nAnswer: 95073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4702 = -88*y + 3118 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/(-22) - (228\/44 + 0). Which is the third smallest value?  (a) -8  (b) 1\/3  (c) u  (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12579 - 4793. List the prime factors of z.\nAnswer: 2, 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2192772, 2192969, 2193166?\nAnswer: 2193363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-42))\/(12*(-1)\/(-28)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(980) - 1*(2 + sqrt(980) - sqrt(980))) - (sqrt(2420)*1 - 2*sqrt(80)))**2*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 33687518 a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-6)\/4)\/(33\/352). Let b = 50 - y. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 2*o + 10. Let d = 33 - 41. Determine r(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 5, e: 5, i: 5, y: 5}. What is prob of sequence yy?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/((-90)\/(-145)) - 14\/(-28).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes before 7:22 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 4 + b + 3)*(33 - 47 + 117)*(-2*b - 14*b - 3*b) to the form a*b + g*b**2 + t and give a.\nAnswer: 3914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.57605968 rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5\/4*(-3)\/(-5). Let d = -329\/5 + 66. What is the second smallest value in -5\/6, b, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 3*h + 168 = 0. Let n = -16 + h. Let y(a) = -a**2 - 6*a - 2. Let c be y(-5). Solve -n*o = 5*d - 10, -c*o + 5*d + 3 = 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -1  (b) 0.04  (c) 5  (d) -6  (e) 1  (f) 2626\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the second derivative of -5*t**4\/12 - 1938*t. Let u(y) = -3*y - 34. Determine a(u(o)).\nAnswer: -45*o**2 - 1020*o - 5780","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h**3 - h**3 + 5*h**3)*(101*h + 5 - 5) + (2*h**2 - h**2 + 0*h**2)*(-3*h**2 + 3*h**2 + 2*h**2).\nAnswer: 204*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3304248971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10110 - -10101.813. What is t rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, a: 2, t: 1, j: 2, i: 1, c: 2}. Give prob of sequence tc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4.94 + -0.06. Let h = -0.6 - 1.4. Let f be 30\/(-24)*4\/10. Which is the third biggest value?  (a) j  (b) f  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28266 = -3*m - 3*x, 5*x + 18858 = -75*m + 77*m. What is the thousands digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21659799277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:49 PM and 3:35 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (32\/8*1)\/22?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i - 6. Determine v(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1 - -8)*(-105)\/(-245). Let q(o) = o**3 + 2*o**2 - 14. Determine q(f).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 3 - 3)*(0*p**3 - 2*p**3 - 4*p**3) to h + k*p**3 + i*p + n*p**2 and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = c + c + 2, -5*s - 2*c = -40. Let u(b) = -4*b**3 + 3*b**3 + 1 - 9*b**2 + 3*b**2 + 7*b. What is the smallest common multiple of u(-7) and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**2 - 6*i - 4. Let g be o(-4). Suppose g*z - d = 2*d + 111, -2*d + 14 = z. Let p = 24 - 2. Calculate the lowest common multiple of z and p.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1100) - (-1 + sqrt(1100))**2*6)*2*-2 + (-2 + 1*sqrt(1100))**2*1 + -5.\nAnswer: -560*sqrt(11) + 27523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -21*x**4 + 345*x**3 - 936*x**2\/7 - 1140*x\/7 - 192\/7 = 0.\nAnswer: -2\/7, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**3 + 9*p**2 - 10*p + 16. Let d be c(8). Solve d = 4*z + z + x, -2*z - x = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 30413, 60807, 91199, 121589, 151977?\n\"Answer: -z**2 + 30397*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 822 - 470. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*u - 24*u - 58*u + (-5 + 0 + 2)*(3 - 3 + 2*u))*(0 + 6 + 4).\nAnswer: -720*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 12*f**2 + 2133. Let h(v) = -122*v. What is h(w(o))?\nAnswer: -1464*o**2 - 260226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-678130)\/(-51) - 24\/36?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lee when three letters picked without replacement from {j: 5, l: 3, e: 9, g: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*b = 14*b. Suppose b = -4*f + f + 315. Calculate the greatest common divisor of 15 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1417434926 a multiple of 1485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 87918\/90 + 8 - 4\/(-30). Let h be (-8)\/60 - t\/(-75). Solve -7*a - h = 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 40149 or 3171706\/79?\nAnswer: 3171706\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, z: 7, y: 3, a: 2, i: 1}. Give prob of sequence yzai.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-24))\/(81\/(-10800)*-20)*3.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 0 = 3*l - 6, -l = 3*v - 2. Suppose -5*h + 20 = -l*b, h + 3*b + b - 4 = 0. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1746?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2546039 rounded to 3 decimal places?\nAnswer: -0.255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4972)\/(-452)*8\/(-22). Let n(t) = -8*t**3 - 2*t. Let l(d) = d. Calculate h*l(f) - 2*n(f).\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -28*d**6 + 189*d**3*y - 64*d**2 - 52*y + 2 wrt d?\nAnswer: -3360*d**3 + 1134*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 1\/3  (b) -17  (c) -11  (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dad when three letters picked without replacement from {a: 5, d: 9}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-90 + 16 + 127 + 189)*(f**2 - 1 + f**2 - 3).\nAnswer: 484*f**2 - 968","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10 + 7. Suppose 4*r = 3*p - 29, m = 2*p - 4*r - r. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 172 = 4*i - 0*y, 4*i - 5*y = 145. Is 17 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2*l**2. Let c(v) be the third derivative of -v**7\/252 - 5*v**4\/24 - 4*v**2. Let f(d) be the second derivative of c(d). Calculate n(f(u)).\nAnswer: -200*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -4\/3  (b) -1  (c) 2\/7  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9705\/19 - -508. Find the common denominator of -74\/9 and d.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 57834?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -3348+838623.423\nAnswer: 835275.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -11, -12, 6, -2, 0.2, 0, -64?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14351*d**2 + 2675*d - 5330 + 14344*d**2 - 28700*d**2 = 0. What is d?\nAnswer: 2, 533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -39 - -40.7. Let g = 1.87 + 0.13. Let v = g - m. What is the closest to -0.1 in 3\/4, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 172256932 to the power of 1\/3, to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 5, 2, -4, -528, 3 in decreasing order.\nAnswer: 5, 4, 3, 2, -4, -528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xsbbsx. What is prob of sequence bsxs?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -78599.9 rounded to the nearest 1000?\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = 2*c - 108, 6*u - 3*u + 15 = 0. Factor 11*r - 5*r**4 + c*r + 30 - 15*r**3 + 15*r**2 - 15*r + 0*r**4.\nAnswer: -5*(r - 2)*(r + 1)**2*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x - 3 = 4*s, -52*x + 19 = 3*s - 54*x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*o - 5*o + 6*o)*(3*o - o + 6*o)*(-2*o + 0*o - 2*o) in the form c + k*o + i*o**3 + p*o**2 and give i.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -5*t**3 + 5*t**2. Let o(m) = m**3 + 68*m**2 - 71*m - 141. Let p be o(-69). Let n(y) = 11*y**3 - 11*y**2 + 1. Calculate p*n(h) - 7*r(h).\nAnswer: 2*h**3 - 2*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h - 26 + 28 = -4*m, -h = -6*m - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 48 and 456?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 + 5 + 1)*(2*s - 2 + 2) - 3*s + 4*s - 2*s)*(1 - 4 + 1)*(7 + 0 + 5).\nAnswer: -408*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2914*a + 1836*a + 2574*a)*(2*a - 2*a + a**2).\nAnswer: 1496*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 699682.\nAnswer: 2, 349841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1722 divided by -861\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 544303 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 7*q - 49. Is a(9) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-3198)\/(-104))\/(-41))\/(27\/(-36)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 18\/(-63) + 32\/14. Let p(i) be the first derivative of 0*i + 1\/2*i**b + 3 - 1\/3*i**3. Determine x so that p(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 11, v: 1, c: 6}. Give prob of picking 2 y and 1 c.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 13*b**2 + 16*b + 29. Let l be (-6)\/(-4)*-9 + 6\/4. Is z(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-6)\/(-12 - -6))\/(10\/20610) is divided by 172.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 2 n when four letters picked without replacement from {j: 7, n: 2, z: 5, w: 3, i: 1}?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1741 + 1742. Suppose 0 = -b + 2*b + 4, 4*b + 32 = 4*p. Suppose -p*y + 2*y = -6. Solve 3*q + 0 = y, 0 = 2*x - 5*q + a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -31220 + 7?\nAnswer: -31214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 166548019 a multiple of 580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.102546 + 0.102. What is b rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the second derivative of -5*f**9\/252 - f**5\/6 + f**2 + 6*f. Let n(m) be the first derivative of c(m). Find the third derivative of n(z) wrt z.\nAnswer: -1200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x - 3*d + 10890 + 61018, -5*x + 179765 = 5*d. Suppose -27*y + 15268 = -x. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2043874?\nAnswer: 2, 7, 145991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -36299500 rounded to the nearest 100000?\nAnswer: -36300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -291 = 6*g - 327. Suppose 8 = g*n + 20. What is the second biggest value in n, 4\/9, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(17) + sqrt(17) + 1 - (sqrt(17) - (sqrt(68) + 5)))**2.\nAnswer: 18*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -13749b7 (base 12) in base 2?\nAnswer: -1110110100101110011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*p**3 - 6495 - 565*p**2 + 4878 - 14063 + 2942*p + 13298*p.\nAnswer: 5*(p - 56)**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**27*n*n*n**(3\/13))\/(((n*n\/(n**(-2\/3)\/n*n))\/n)\/n*n**(-25)) assuming n is positive.\nAnswer: n**(2089\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.084  (b) 4  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 220.33 + -221.8311. What is p rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(104)*-2 - sqrt(104) - sqrt(104)) + sqrt(104))*-5*2)\/((sqrt(968)*-2 + sqrt(968) - sqrt(8))\/(5*sqrt(12)\/sqrt(3)))*-4.\nAnswer: 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1704 - 2432. Let s = i + 819. Calculate the remainder when 356 is divided by s.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5617*u**3 - 12680*u.\nAnswer: -33702*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -36927675 divided by 123\nAnswer: -300225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 45676, 44075, 42448, 40783, 39068, 37291, 35440?\nAnswer: 33503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 + 1111128?\nAnswer: 1111127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 92 and 44068.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 80888473*l**4 - 320106483*l wrt l?\nAnswer: 970661676*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 - 0. Let s(a) = -a + 4*a + 7 + 0*a + c*a. Let z(b) = 3*b - 2*b - 3*b - 4. Calculate 6*s(x) + 10*z(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: a24 (base 13) to base 7\nAnswer: 5005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/((168\/44 + -4)\/(-1)). Let w = 28 + q. List the prime factors of -4 - ((-4)\/w + (-1230)\/45).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -123975 = -12*i - 27195. Suppose -i = -62*z + 38435. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p**5 + 363*p**4 - 12627*p**3 - 93387*p**2 + 185280*p + 1465200 = 0.\nAnswer: -148, -5, 4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes before 8:18 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 + 2 - (1 - 4). Suppose -q*p + 6 = -3*p. Calculate the highest common divisor of 14 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -35\/20982 and -20\/6621.\nAnswer: 46307274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 28*b - 1333. Let r be l(48). Solve -3*j - r = -i - 5*j, 4*i - 4*j = -16 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*6\/(-27)*15\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes before 9:18 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.22*0.5.\nAnswer: 0.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1355612 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 60613.65 days to microseconds.\nAnswer: 5237019360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a century in months?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 57\/8  (b) 5  (c) 2  (d) 2\/13  (e) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*y**2 + 0*y**2 - y**2)*(-y**3 + 4*y**3 - 4*y**3) - 9*y**5 + 9*y**5 + 17*y**5 + (2*y + 0 + 0)*(0*y**4 + y**4 + 0*y**4) + y**5 + 4*y**5 - 6*y**5.\nAnswer: 23*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 2 x when three letters picked without replacement from {m: 5, x: 3, h: 1}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -140*c + 3260 = -789 + 689 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -44\/7?  (a) 0.8  (b) -5  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 18710 - 18708. Solve 5*u - 2*s - 27 = 0, g*u - s = -5*s - 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-8)*(6\/(-8))\/(189\/168).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -15308.49*0.52\nAnswer: -7960.4148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1404, 1405, 1408, 1413?\n\"Answer: w**2 - 2*w + 1405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -893.045 - -890. Let i = 0.055 - u. Let w = 3 - i. What is the third smallest value in -3, w, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 60943601?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1596*h + 2 - h**3 + 462084627*h**2 - 462084627*h**2 - 2*h**3 - 3 + 3 + (h**3 + 0*h**3 + h**3)*(0 + 3 - 5).\nAnswer: -7*h**3 + 1596*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 58.2 rounded to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*q - 1 + 1)*(-26*q**3 + 28*q**3 + 12*q**3 + (2*q**2 + q**2 - q**2)*(-q + 0*q + 2*q)) to o + i*q**4 + d*q + u*q**2 + k*q**3 and give i.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 2 r when three letters picked without replacement from {l: 3, z: 1, p: 6, r: 6, b: 2}.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -49, 38, 121, 200?\n\"Answer: -2*q**2 + 93*q - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 - -1 - (-19 + 19 - -1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 - j**2 + 283*j + 2*j**2 - 143*j - 143*j - 3*j**3 to g*j + i + y*j**3 + q*j**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g**2 + 2*g**2 - g**2)*(-282 - 30*g + 282).\nAnswer: -30*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*u - 2*u + 0*u)*(u - 5*u + 2*u) + (0 - 2*u + 0)*(u + 0*u - 2*u) + (-2 - 2 + 3)*(-5*u**2 - 4*u**2 + u**2) as j + a*u**2 + h*u and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*w - 2*p + 19, 3573 = -4*w + 2*p + 3559 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -12*u**3 - 74*u**2 + 3*u + 13. What is the hundreds digit of w(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 48*y**3 + y**2 - y - 2. Suppose 0 = 3*u - 4*u + 3. Let z be n(u). Round z to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**5*g)\/g*g)**(-1\/11)*(g*g**(-3\/4))**(-1\/4) assuming g is positive.\nAnswer: g**(-107\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.1  (b) -1\/1177  (c) -3  (d) 0.3  (e) 5  (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence heu when three letters picked without replacement from yluuthe.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -1  (b) 13  (c) 3.43  (d) -86  (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7769122?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1920013408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -162 = 13*w + 14*w + 135*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w**0)\/((w*w*w*w**(-3\/2)\/w)\/w))\/(w\/(w*w\/w**4*w))**(2\/3))**22 assuming w is positive.\nAnswer: w**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 14, m: 1}. Give prob of sequence nn.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**1)**25)**(1\/39))**(-15\/7) assuming f is positive.\nAnswer: f**(-125\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 138.8 + -138. Let v = 1 - b. Let k = 2.9 + -3. What is the second biggest value in 0, v, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 13*g**4 - 2990*g**3 - 156292 with respect to g.\nAnswer: 52*g**3 - 8970*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5560 and 5.\nAnswer: 27800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 638995 = 3*o + 5*n - 4*n, -3*o + 5*n = -639025. Suppose 5*l - 31 + 6 = -2*u, 3*l = -4*u + 15. Suppose -l*b - o = -6*b. Round b to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3212.\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the first derivative of 98*o**3\/3 - 3844*o - 2292. Differentiate d(z) with respect to z.\nAnswer: 196*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (23 - 14) + -27 - -24.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:28 PM and 1:31 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 317 - 42 = -5*q. Find the common denominator of -51\/4 and -3 + 5 + q\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 529783 is divided by 5823?\nAnswer: 5713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 24049137 by 15.\nAnswer: 8016379\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -24566, -100630, -227402, -404882, -633070?\nAnswer: -911966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*n + 36*n + 38*n + 15*n)*(0*n**2 - 2*n**3 + 0*n**2).\nAnswer: -160*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -31.32 - -26.62. Let a = 0.1 + -0.3. Which is smaller: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -133.62 + 131.62. Which is the closest to -73\/5?  (a) -4\/3  (b) 7  (c) j  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.079193 - -0.3\nAnswer: 0.220807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 78053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 2 = -3*h. Let i be 2*(-1)\/(-14)*h. Let b = -0.1 + -0.9. What is the nearest to i in 3\/7, 1, b?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 2440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -5*c**5 - 20*c**4 - 80*c**3 - 60*c**2 - 20. Let p(h) = -h**4 - h**3 - h**2 + 1. Suppose -32*n = -9 + 41. Let o(q) = n*z(q) - 20*p(q). Solve o(w) = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (2\/(-4))\/(10\/(-6940)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2043\/2  (b) 0.4  (c) -992\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 21, -3, 4 in increasing order.\nAnswer: -3, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 + 2)*(-775 + 3080 - 776 - 771 - 643*z - 752) to the form n*z + d and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 14 = -5*x, -1 = 5*c + 4*x + 6. Let w = -3 + 6. What is the closest to c in w, 4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3*28\/(-120)*(-4)\/7. Let c be 18\/(-14) - 14\/(-49). Let j be 0\/(c*(-1 - 0)). What is the second biggest value in -5, j, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 4*m = -2826. Suppose 8*q - 402 - m = 0. Is q a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4.6 + 5. Let z = 0 - -1. What is the closest to z in -1\/3, a, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10649?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1.9 and 20370.\nAnswer: 20371.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 109542*y*z**2 - 782*y + 503*z wrt z?\nAnswer: 219084*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 81309170 to the nearest integer?\nAnswer: 9017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 15) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2559592 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7874856 * 1.\nAnswer: -7874856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 (base 14) in base 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18 + 81. Let l be u\/(-55) - 1\/5. Let j(i) = -i**3 + i**2 - i. Determine j(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -867 + 863. Let j = -43.4 - -8.4. Let o = 23 + j. What is the smallest value in o, p, 1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = m + 5*m. Let t be 2*3*m\/24. Which is smaller: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-14)\/(-9 - -2) - (1 + -2). Which is the third biggest value?  (a) u  (b) 0.3  (c) 0.1  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6\/83179 - 444508510\/914969. Is i less than -486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**2 - v + 3. Let s = -9 + 6. Calculate the remainder when 59 is divided by f(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01010817235 rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -18426, -36852, -55278?\n\"Answer: -18426*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 20*l + 994. Determine c(-54).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 254 - 65 = 9*s. Suppose 0*v + 62 = v. What is the remainder when v is divided by s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 + 4. Suppose -w + 8 = 2*u, b = u + w + 3*w - 4. Suppose c - 6 - u = 0. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes before 10:09 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 - 0. Let o be -3 - (4 - 3)\/j. Let i(n) = -4*n - 6. What is the units digit of i(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/5, -0.210895, -4, -3\/2, -5, 2, 3?\nAnswer: -0.210895","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 - 1 + 4)*(0 + 5 - 4)*(-2 + 4 + 1)*(4*r - 2*r + 0*r).\nAnswer: -30*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11001001111100 (base 2) to base 5.\nAnswer: -403144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6\/5*4\/((-48)\/(-15)). Let v = 71 + -495\/7. What is the second biggest value in v, 0.1, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 7*z - 47. Let h be v(7). What is the units digit of (9\/27)\/(141\/(-72) + h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1236875 is divided by 54.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 801*n + 699*n - 2339*n + 837*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 628*b**5 + 1035*b**2 - 2*b - 8. Let h(q) = 2510*q**5 + 4140*q**2 - 9*q - 36. Let x(j) = 9*c(j) - 2*h(j). Find the third derivative of x(s) wrt s.\nAnswer: 37920*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 43*u - 39*u + 17 = -r, 3*u + 5*r = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-24)*2)\/((-118)\/(-826)*42\/66)?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 305 - 266. Calculate the remainder when 101 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 835375.2 micrometers?\nAnswer: 0.8353752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9036.\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the third derivative of l**5\/10 - 710*l**2. Let g(i) = 1. Let d(x) = -2*x**2 - 18. Let m(b) = -2*d(b) - 36*g(b). Determine y(m(v)).\nAnswer: 96*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1654 by -827.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 2*b**2. Suppose 5*t = -n + 2*n + 20, -2*n = 5*t - 5. Let z(y) be the third derivative of 0*y + 6*y**2 + 0 + 0*y**t - 7\/24*y**4. What is z(r(a))?\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-14)\/q**(-3\/5))\/(q*q**(-40)*q*q*q*q**29*q*q) assuming q is positive.\nAnswer: q**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -29781, -0.1, 5 in descending order.\nAnswer: 5, -0.1, -29781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3 + 4 + 0 + 2. Find l, given that 3*l - 4*l**2 - 4 - t*l - 8*l = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/(-8)*(1 + -11). Which is the second biggest value?  (a) 1\/9  (b) -2  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -3*b + 11. Suppose 4*y - 35 = -7. What is the remainder when j(-5) is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -9, 0, -14, 1 in increasing order.\nAnswer: -14, -9, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 5*x - 216 + 272 + 0*x. What is z(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 4*w**2 - 2*w + 1. Let i(z) = -13*z**2 + 7*z - 3. Let s(y) = -y**2 + 10*y + 7. Let p be s(10). Suppose -p = -x - 0*x. Calculate x*q(d) + 2*i(d).\nAnswer: 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 42  (b) -5  (c) -0.5  (d) 3719\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-143))\/((-3116)\/51414)?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the first derivative of -67 + 41*w**3 + 0*w**5 + 37\/7*w**7 + 0*w**4 + 0*w - 1\/6*w**6 + 0*w**2. Find the third derivative of q(f) wrt f.\nAnswer: 4440*f**3 - 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 4 + (sqrt(1088)*1*2 + ((sqrt(1088) - (sqrt(1088) + -1)) + sqrt(1088))*3 + sqrt(1088) + 2 + 1 + (sqrt(1088)*-1 - sqrt(1088)))**2.\nAnswer: 384*sqrt(17) + 17443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -56 divided by -5461?\nAnswer: 56\/5461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*n**3 + 625*n**2 - 147 - 2*n**3 + 632*n**2 - 1263*n**2 as w + p*n**2 + j*n + v*n**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 14927707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 99*k**3 - 216*k**3 + 121*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2\/(-25))\/((-1)\/(-5)). Let r = -5226.2 + 5230. Which is the closest to t?  (a) -3\/2  (b) r  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2074, -2088, -2106, -2128, -2154, -2184?\nAnswer: -2218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -175800 to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7042 is divided by 3519?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 80 + -56. Let g = k + -20. Put 0.4, g, -5 in descending order.\nAnswer: g, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -94 divided by -2290401.\nAnswer: 94\/2290401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6*(-6)\/7*283\/(138670\/(-1715))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/7 + 240\/14. Let f(b) = b**2 - 17*b + 4. Let j be f(q). Solve j*o - 4*a + 20 = 0, -3*a = -3*o - 2*a - 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 8 = -3*i + 7, -5*w + 20 = 4*i. Let t be (-1 - 10\/i)\/((-1)\/2). Suppose 2 = -t*p + 476. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -82*i + 78*i + 28988. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the second derivative of -r**6\/720 - r**5\/144 + r**4\/72 + 2*r**3\/3 + 4*r. Let n(j) be the second derivative of h(j). Factor n(b).\nAnswer: -(b + 2)*(3*b - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 8*h - 8. Let z(x) be the second derivative of 7*x**4\/12 - x**3\/3 - x**2 - 3*x. List the prime factors of z(h).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 145 - 79. Let r = -62 + v. What is the fourth biggest value in -2, -10, 1, r?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 12f3 + 2?\nAnswer: 12f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -297806 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3772)\/(-1656) - (-3)\/(12\/(-10)). Suppose -2*h - 4*y + 84 = 0, -7*h = -3*h - 3*y - 179. Sort 1\/2, h, q, 2.\nAnswer: q, 1\/2, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((z*z\/(z**(-2)\/z*z))\/z)\/z)\/z)\/z)**(1\/31)*(z*z**(2\/5))**7*z*z*z\/z**7*z**(-5)*z\/(z\/((z*z*z**(-4))\/z))*z*z**(-3\/5) assuming z is positive.\nAnswer: z**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (-6 + (1 + -3 - 0) + -5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and 4.58.\nAnswer: 9.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (0\/(-5) + 4\/(-2))*50. Let q be 756\/10 - 40\/b. Suppose -3*v = -6*h + 2*h - q, 2*h + 122 = 5*v. What is the lowest common multiple of 11 and v?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -39326833*h**2*j**2*z**2 + 16755*h**2*j**2*z + h**2*j*z + 152*h*j**2*z wrt z.\nAnswer: -78653666*h**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22271 is divided by 87.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1401230 or -1401233?\nAnswer: -1401233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-696)\/(-203) + (-3)\/7. Solve -3*s = 5*b + 40, -2*b - q*s - 14 = 11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 69418*r - 69386*r - 416 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = i - 5, -27*b - i = 22*b - 48*b - 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 230402118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 3*a**2 + 2. Let i be -4 - (0 - -4 - 7). Let d(s) = -s**2 - 1. Let t(n) = i*o(n) - 2*d(n). Let z(m) = -12*m. Determine z(t(q)).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -56115*h + 129. Let v(f) = -2158*f + 5. Determine 5*u(z) - 129*v(z).\nAnswer: -2193*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*j + j + j)*(832 - 49*j**3 - 832) - 10*j**4 + 14*j**4 + 11*j**4 in the form z*j**2 + m*j + t*j**3 + d*j**4 + v and give d.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 12021220011 (base 3) in base 8?\nAnswer: 313352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -2*l. Let h(j) = j. Let o(g) = -11*h(g) - 4*z(g). Suppose 2*t + 30 = 7*t. Let d(v) = v. Give t*d(b) + 3*o(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -6\/5, 2\/5, 5, 2, 10?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 92.65489 millennia?\nAnswer: 92654.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15478 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 101048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -16 - -13. Let m be (-6 + 2 + 12\/4)*i. Is (m - (-40)\/(-12))*-7698 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -51 in -2\/3, -0.4, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 25, 3, 0, -4, -26, -2, -33 in descending order.\nAnswer: 25, 3, 0, -2, -4, -26, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15850 is divided by 5281?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d - d - 3. Let y be (-2046)\/(-42) - (-2)\/7. Let n be y\/14 - (-1)\/2. Solve -n*x - 32 = d*w, 0 = -3*x - 5*w - 2 - 33 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**3 + 8*g**2 + 8*g + 6. Let l(y) = -242*y + 23 + 109*y + 134*y. Let j be l(-14). Give n(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 18*o - 106 = 20*o, -5*x = o - 112. Calculate the smallest common multiple of x and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -828*d**4 - 412*d**2 - 498*d**4 - 3165*d**2 wrt d.\nAnswer: -31824*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 25 + (-1 - 11) + 1 - (0 + -1)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 126 and 50748796.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the second derivative of -d**5\/10 - 121*d**3\/3 - 1829*d**2 + 3592*d. Differentiate g(b) wrt b.\nAnswer: -6*b**2 - 242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3985, 15911, 35777, 63577, 99305, 142955?\nAnswer: 194521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -25*y**2 + y + 6. Let c be b(2). Let k = -87 - c. Let l = 1\/55 + 241\/55. Which is bigger: l or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a day in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the third derivative of u**6\/24 - 5*u**3\/3 - 2*u**2. What is the first derivative of h(g) wrt g?\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -27, -58, -121, -222, -367, -562, -813, -1126?\n\"Answer: -r**3 - 10*r**2 + 6*r - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 34, -4, 1, 245 in decreasing order.\nAnswer: 245, 34, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**3 + 5*r**2 - 9*r + 5. Let h be j(-6). Let k = h + -19. Solve 0 = 3*f - 5*g + 10, -6 = k*f - 3*g for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1538 + -769. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 32.9 + -36. Let h = 3 + o. What is the smallest value in h, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**4\/3 + 7*p**3\/3 + 892*p**2\/3 + 884*p\/3.\nAnswer: -p*(p - 34)*(p + 1)*(p + 26)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1987 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -74 + 147\/2. Which is the nearest to 0?  (a) m  (b) -0.4  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r**3 - 2*r**2 + 2*r**2)*(-4*r + 9*r + 0*r)*(1 - 6 - 6).\nAnswer: 165*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -3032*g + 9. Is 12 a factor of r(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2, 32, 90, 172, 278?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - 12 - 12. Suppose v*w = 4*w + 12. Do 40\/9 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13112132222 (base 4) to base 3.\nAnswer: 10121220110102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -4*c**4 + 896*c**3 - 10*c**2 - 10*c - 52. Let q(z) = z**4 + 5*z**2 + z + 1. Let w(p) = j(p) + 2*q(p). What is the second derivative of w(g) wrt g?\nAnswer: -24*g**2 + 5376*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -27 - -83. List the prime factors of 2\/(-7) - (-15640)\/z.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (20141\/132 - 152)\/(42\/16). Factor -16\/9*q + 0 - x*q**2.\nAnswer: -2*q*(q + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -24*u - 1. Let h(f) = 10*f. Give h(q(b)).\nAnswer: -240*b - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d + 16*d - 76 + 1 = 18*d for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2729, -2722, -2715, -2708?\nAnswer: -2701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-480)\/336)\/((-4)\/14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 48 = 24. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/4, 626, 510, -5, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 30\/(-20) + 14\/4. What is the derivative of -30*t**2 - 13*t**4 + 9 + 30*t**n wrt t?\nAnswer: -52*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -72410 rounded to the nearest one thousand?\nAnswer: -72000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r + 139 = 174 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 658 a factor of 3599260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8716*l*x**5 - 16*l*x**3 - 9505033*l*x**2 - 23*x**3 wrt x?\nAnswer: 522960*l*x**2 - 96*l - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 173392000 to the nearest 1000000.\nAnswer: 173000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12*b**3*i**3*l + 10*b**3*l + 11*b**3 - b*i**2 - 2*b*l - 34766*i**3 + 28*i*l - 90*l wrt i?\nAnswer: 72*b**3*i*l - 2*b - 208596*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide (-6)\/(-15) - (-3 + (-429)\/15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 51*b - 58*b + 175. What is the remainder when b is divided by (64\/(-10))\/(-1 + 6\/10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -235*m*r*s*z + m*r*s + 1089*m*r*z - 2*m + 58*r*s*z + r*z + 9*r wrt s?\nAnswer: -235*m*r*z + m*r + 58*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*d + 21*d - 6 = -u + 9*d, -3*d = 2*u - 22 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-3460)\/3)\/(101\/(-2121))?\nAnswer: 2, 5, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (734 - 761*a - 1476 + 740)*(4 - 4*a + 2*a - 2)*(-2 - 3 + 4) to f*a + o + x*a**2 and give x.\nAnswer: -1522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00173988 to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 63 - 61. Suppose -2*d + 198 = 4*x, 3*x - 6*d - 121 = -2*d. Suppose -i*b + 79 = -x. What is the remainder when b is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*v**2 + 4*v**3 - 3*v**3 + 0 + 0 to the form m + p*v**2 + f*v + l*v**3 and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -g + 36, 5*h + 220 = g + 4*g. Suppose -60*u + 76*u = g. Solve 2*z + 5*p - 20 = 6*z, p - 4 = -u*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 - 52?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is four fifteenths of a decade in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r + 7 = 5*w, 5*w - 2*r + 5 = -7*r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 490 = -28*m - 527 - 131 for m.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 3  (b) 218  (c) -0.05285\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -13*b - 2. Let n be g(-1). Suppose -w = -4*q + 17, -4 = -3*q + n. Suppose 2*j + 2*z = 3*z + 2, -5*z + 4 = 4*j. Solve -j + 4 = -w*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.88 - -2.556. Let x = -0.476 + l. What is the nearest to -75 in -0.1, x, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -169\/35 - -31\/7. Which is the second biggest value?  (a) r  (b) -4  (c) -1\/5  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 9 and 194657232560?\nAnswer: 194657232551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00431132 rounded to five dps?\nAnswer: -0.00431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 2*n + 3*x + 14, 3*x + 17 = -n. Calculate the least common multiple of (0 - n)\/((-24)\/(-252)) and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 27*r + 49*r - 390*r**3 - 21*r - 283*r**3 in the form t*r**3 + k + h*r**2 + s*r and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -31 < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - (5 + (-165 - -118 - (-4 - -1)))) + -4.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 1) + 2 - (177 + -188)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t = 2*b + 132, -2861*t - 2859*t = -5*b - 5714*t - 198 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1601087 from 0.24112796.\nAnswer: -1601086.75887204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 240.69637 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2105*v**3 + 2*v**2 - 759*v.\nAnswer: -12630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 + 10*r - 17. What is l(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*w + 14*w + 1 + 2*w**2 - 1 - 102*w**3 to j*w**2 + k*w**3 + d*w + s and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 1 m, and 1 v when three letters picked without replacement from vbmccrbbrb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 404 + 275. Suppose -5*c - 683 = 5*q - 3*q, -5*c - r = q. Calculate the common denominator of 4 + (-9 - -6) - c\/(-44) and 63\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -162 = 9*v - 657. What is the greatest common factor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 172826453 a multiple of 692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47101476*l**2 + 47101476*l**2 + 5*l**3.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1237251 (base 8) to base 14.\nAnswer: -8d397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*s**2 - 3*s**2 - 3*s**2 - 4*s**3 - 3*s**2 wrt s?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**3 - 4*p**2 - 8*p + 6. What is f(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/((h*h**1*h*h)\/h)*h*h)\/h*h**(-2\/41)*h)\/(h**(-8)*(h\/(h*h**(-4)))\/h) assuming h is positive.\nAnswer: h**(203\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -43.05 + 44. What is c rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17 divided by -6\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 2*x**2 - 16*x - 4. Give h(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38944.16 meters to micrometers.\nAnswer: 38944160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do 25 and 135 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**3 + 179*j**2 - 175*j + 909. What is w(-180)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w - 10. Let c be l(-13). Suppose a + 2*g - 1 = 0, 3*a + 2*g - 1 - 14 = 0. Calculate the remainder when c\/((3\/26)\/1) is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**2 - u + 4. Let i be h(-4). Let z(w) = -1276 + 3*w + 2583 - 1312. What is z(i)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/(h**(-4)\/h))\/(h\/h**(-1\/10)))**(-27))**(-19) assuming h is positive.\nAnswer: h**(25137\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**3 - r**2 - 2. Let q(v) = -2*v - 18. Let m be q(-8). Let y be s(m). Let z = -6 - y. Let d(c) = -c - 11. Determine d(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 28 and -6.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 4*h + 42. Let d be t(-7). What are the prime factors of ((-30)\/d)\/(13\/(-91))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/8*(-112)\/(-63) - 2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 683 is divided by 114.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2 + (1 - (-2 - 2)). Suppose -3*p + 20 + q = 0. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f**3\/5 + 105309*f**2\/5 - 2814201*f + 470927523\/5 = 0. Calculate f.\nAnswer: 67, 34969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/15 of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**3\/7 + 177*s**2\/7 - 7920*s\/7 + 7744\/7.\nAnswer: -(s - 88)**2*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**2\/(f\/f**(-3\/7)))\/((f**(-4)\/f)\/(f\/(f\/((f\/f**(-5)*f)\/f)*f))))**(21\/8))**(-1) assuming f is positive.\nAnswer: f**(-111\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 447773 is divided by 785?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 221804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*(x\/x**(-10\/3))\/x*x*x*x)**(-8))**(-6\/7))**(-40) assuming x is positive.\nAnswer: x**(-14080\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the first derivative of 11*a**6\/3 - 14*a**2 + 20. Find the second derivative of h(y) wrt y.\nAnswer: 440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1609\/399 - 10\/57. Calculate the common denominator of (2*14\/60)\/(29\/(-609)) and s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in three sixteenths of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the second derivative of -p**5\/20 + p**4\/2 - p**3\/3 - p**2\/2 - 8*p. Let g be q(4). Calculate the highest common divisor of 23 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -644\/5  (b) -0.5  (c) -23  (d) -6\/19  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the first derivative of m**4\/4 + 4*m**3\/3 - m**2\/2 + 145*m + 15. Is w(0) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1274728 and 457938.\nAnswer: 217978488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwwdmyc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -209874 divided by 11046\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24560.85nm to centimeters.\nAnswer: 0.002456085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**3 - 8*z**2 - 4*z + 6. Let s(c) = -6*c**3 + 41*c**2 + 19*c - 30. Let r(q) = -11*b(q) - 2*s(q). Let d(g) = g**2 + g - 1. What is 6*d(i) - r(i)?\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 3, d: 9}. What is prob of picking 1 x and 2 d?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 31 - 33. Let j(i) = -14*i**3 + 2*i**2 + 2*i. Let m(p) = 4*p**3 - p - 1. Let d(x) = g*m(x) - j(x). Find the third derivative of d(b) wrt b.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(1584)*-1 - (-3 + sqrt(11) + (6*sqrt(33)\/sqrt(3))**2 + sqrt(11)).\nAnswer: -393 - 38*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 28509586 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*d**4\/2 + 1915*d**3\/2 + 91200*d**2 - 92160*d.\nAnswer: 5*d*(d - 1)*(d + 192)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + 1 = 4*o, 72*o - 157 = 74*o - 51*b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12314302.\nAnswer: 2, 7, 11, 13, 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3195623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the third derivative of -2*a**5\/5 + a**3\/3 - 19*a**2. Let n(b) = 7*b**2. What is n(w(q))?\nAnswer: 4032*q**4 - 672*q**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 301 is divided by 44?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 17, 16, 5 in descending order.\nAnswer: 17, 16, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4301 by -18808.\nAnswer: -4301\/18808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 84 + 9. Suppose -4*i + i = -s. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.64 - 1.6399277. Round i to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -87, -89, -93, -99?\n\"Answer: -s**2 + s - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 21669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5270274*a*w - 7*w + 497171 wrt a?\nAnswer: 5270274*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the first derivative of p**3\/3 + p**2\/2 - 3. Let b be n(-2). Suppose 6 = b*r + r. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 31844.75812 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 38587 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 492*j**2 + 12*j + 32. What is the units digit of l(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -u - 3*a + 11, 25*a = 4*u + 24*a - 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 230475 is divided by 426.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11001111 + 11110011110101111100?\nAnswer: 11110011111001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/5)\/((-6)\/12).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2 + -1 + 8\/1. Suppose 0*f = -b - f + 12, 0 = -5*f. Let p be (-2)\/3 - ((-4784)\/b)\/4. Calculate the greatest common divisor of p and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32179 is divided by 8042.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -33875626 times 4?\nAnswer: -135502504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*b - 335 - 1 = 0 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 1500228*h - 9001381. What is d(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the third derivative of g**5\/60 - g**4\/12 - 4*g**2. Let r be z(3). What is the derivative of a**r - 6 - 4*a**2 + 4*a**2 - 7*a**3 wrt a?\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 12*s**3 - 6*s**2 - 2*s + 9. Let i(q) be the first derivative of q**4\/4 - q**3\/3 + q - 576. Give -6*i(m) + o(m).\nAnswer: 6*m**3 - 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 6*g - 42. Let c be n(7). Let x(f) = f**2 + 11. Calculate x(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1953?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 5*p + 6. Let r(b) = 3*b + 3. Let y(l) = 4*f(l) - 9*r(l). Calculate the remainder when y(-11) is divided by 36\/2 - (61 + -62).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -473778 or -473846?\nAnswer: -473778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00072207737 rounded to seven decimal places?\nAnswer: -0.0007221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 443022*p**3 + 60725*p**2.\nAnswer: 2658132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 96680509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 8048908267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 70\/56*(-15)\/(405\/36)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1694?  (a) 3  (b) 1095  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a - a + a)*(11*a**3 - 7*a**3 + 2*a**3)*(0 + 2*a + 0).\nAnswer: -12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 + -3. Let o(j) = -j**3 + 2*j**2 + 11*j - 11. Let c be o(4). Let r be (-13 - c)\/(i*1). Is -7 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-232)\/(-24))\/(12\/9*19\/(-76)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1.929149cm?\nAnswer: 19291.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 209 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 40*l - 48*l. Let r(z) = 2*z**2 + 4*z - 3. Let y be r(-4). Solve l = 5*c - y - 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 74529 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3670 and 10340?\nAnswer: 3794780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 851125647.\nAnswer: 3, 283708549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 > 2\/163455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 80 + -80.1. Let v = -3981 - -3980.5. Let w = -2 - -1.8. Which is the closest to w?  (a) v  (b) l  (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1\/2)\/((-4)\/(-240)). Suppose -j - 61 = 4*j - 3*v, -4*v + a = -2*j. Let l = 31\/11 - 965\/77. Which is smaller: j or l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 3, v: 1, s: 3, z: 1, y: 4, k: 5}. Give prob of picking 1 k and 3 y.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 11 in -2\/5, -7, -34, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8474.\nAnswer: 2, 19, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*i - 112*i - 12*i)*(5 - 3 - 1)*(-2*i**2 + 5 - 5 + (4 - 2*i - 4)*(i + i + 0*i) - 1 + 1 + 2*i**2 - 6*i**2 - 4*i**2 + 4*i**2).\nAnswer: 1130*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10474?\nAnswer: 2, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2 + 2)*(-281*r**2 - 14465 + 14465).\nAnswer: 843*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sum 365833.481 and 481.\nAnswer: 366314.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o - 31. Calculate u(-11).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -100*i**3 - 1345*i**3 + 4*i - 7*i**2 - 442*i**3. Let b be l(3). What is b rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-16)\/72 - (-25)\/(-9). Let l(b) = -2*b**4 - 3*b**3 + 2*b**2 + 2*b - 1. Let j(q) = q**4 + q**3 - q**2 + 1. Let m(t) = h*l(t) - 3*j(t). Factor m(s).\nAnswer: 3*s*(s - 1)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 2*u + 2502 = 5*w, -4*w = 5*u - 3132. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = h + 10. Suppose h*j = 3*w + 3*j + 450, 3*w + 450 = -j. What is w rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*c**2*d*k - 6*c**2*k - 92*c**2 + 2*c*d**2 + 18*d**2*k + 2*d with respect to k.\nAnswer: -3*c**2*d - 6*c**2 + 18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 8\/(-44) + (-160017361)\/(-2772). Let p = s + -57722. What is the common denominator of p and 35\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 2*y. Let s(a) be the second derivative of -12 + a**2 - 19\/6*a**3 - 6*a. Give s(c(l)).\nAnswer: -38*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 211427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/1536970 and -43\/680.\nAnswer: 6147880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38134*d - 11826 = -75847*d + 37932*d for d.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -137\/3192 and (7\/1078*-6)\/(20\/(-595)).\nAnswer: 35112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2843.154 rounded to the nearest ten?\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w + 1922*d = 1919*d - 29, 3*w - 4*d - 16 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 9*q**3 - 9*q**2 - 5*q - 1. Let x(n) = 5*n**3 - 4*n**2 - 3*n - 1. Let d(y) = 3*y**3 + 51*y**2 + 2*y + 37. Let b be d(-17). Determine b*s(l) - 5*x(l).\nAnswer: 2*l**3 - 7*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**(-1\/8)*v)\/v)\/(v**(-4)*v))**(-5\/19) assuming v is positive.\nAnswer: v**(-115\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*n - 403 = 1382. Let h be 4 - 2 - -31*5. Let c = h + n. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 5736, 10327, 14916, 19503?\n\"Answer: -z**2 + 4594*z + 1143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 298978005 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the first derivative of -j**4\/4 - 4*j**3\/3 - 2*j**2 - 13*j + 4. Let a be b(-4). Let w(u) = -u**2 + 2*u + 1. What is w(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c = 3*c + 6. Suppose -7*h = -8*h - c. What are the prime factors of (-66)\/44*72\/h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a - 5657 = 19*m - 5712, 4*a - 5 = -3*m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 139 + -27. Let a = 40361 + -40313. What is the greatest common divisor of g and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 126647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 27.19875225 to zero decimal places.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -28\/239583 and 47\/718749.\nAnswer: 718749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -3*n - 47, o + 3 - 28 = n. Calculate the greatest common factor of o and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6004945993 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t\/(t\/((t*t*(t\/(t*t**0)*t)\/t*t)\/t*t)))**(2\/9)*(t\/t**1)**(11\/7))**(3\/29))**(-24) assuming t is positive.\nAnswer: t**(-48\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 95 - 8*v + 2758*v**3 + 11*v + 2764*v**3 - 5536*v**3 in the form l*v**3 + k*v + g + d*v**2 and give g.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from okqjj. Give prob of sequence jkq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 10*x - 28. Let u be z(3). Suppose 0*c - 4*j - 546 = -u*c, 2*j - 8 = 0. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81*y + 3*g = 86*y - 2513, g = -5*y + 2509. What are the prime factors of y?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*o**4 + 465*o**3 + 11475*o**2 + 30375*o = 0. Calculate o.\nAnswer: -45, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*f + 16*f = 441 + 819. Let p be (-2)\/3*-12 - -1. What is the greatest common factor of f and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 326268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 99 divide 32230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 60 and 194670.\nAnswer: 389340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2201 + 2218. Which is the nearest to 1?  (a) -5  (b) -1  (c) h  (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11773 - -16564. Let f(v) = v**3 + 3*v**2 - 37*v + 36. Let z be f(4). Suppose 5*u + 4*j - q = z, -u + 4*j = -0*j - 939. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuuuu. What is prob of picking 3 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 198696 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**2 - 12*r + 13. Let c be (1\/(-2))\/(3\/(-66)). Let f be t(c). What are the prime factors of -3 + f + (0 - -49)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 47 + 1b79?\nAnswer: 2004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -11704 - 43276?\nAnswer: -5497a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let 0 + 5\/2*b**3 + b + 9\/2*b**2 - 9\/2*b**4 - 7\/2*b**5 = 0. Calculate b.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -235 - -348. What are the prime factors of s?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1076200649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -45d (base 14) to base 7.\nAnswer: -2346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 486851?\nAnswer: 439, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/13670451 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 3*o**3 - 104*o**2 + 165. Let c(g) = -g**3 + 52*g**2 - 82. Let d(j) = 5*c(j) + 2*r(j). Find the first derivative of d(f) wrt f.\nAnswer: 3*f**2 + 104*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 2*v**3 - 4*v**2 - 2*v - 2. Let f be b(4). Let y = 73 - 71. Let l be (y - f\/(-5))*5. What is the greatest common factor of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -0.5, -0.2, 5, 318?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2469 is divided by 601.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8688172 to the nearest integer?\nAnswer: 2948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/48)\/((-21)\/(-84)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -6*m**2 + 107*m + 17. Suppose -737 + 809 = 4*z. Calculate c(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**2 + 5*q + 42. Let k be s(0). Let v(n) = -k + n + 42. Let t(z) = -3*z**2 - 2*z**2 - 4*z**2. What is v(t(d))?\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 72*h**2 + 3451*h + 60*h**2 - 3451*h. Let d(p) = -16*p**2. What is d(r(w))?\nAnswer: -278784*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 27395\/79866 + -74\/1377. Find the common denominator of s and 75\/58.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 394.3912 - 0.4912. Let f = -394 + c. What is the nearest to 1 in -0.5, -20, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -149217*f**3 + 2*f - 53156 wrt f.\nAnswer: -447651*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9154 + 13180. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes after 10:53 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 172048 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -17 - -26. Suppose -45 - y = -9*f. Solve 0*b = -5*b - 2*v - f, 5*b + 12 = v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2613*i - 2612*i = 5*g + 88, 94 = 3*i - 0*g - 5*g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*s - 7*s - 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/9*z**4 - 134\/3*z**2 - 10*z**3 + 490\/9*z + 0.\nAnswer: 2*z*(z - 49)*(z - 1)*(z + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(231)\/sqrt(28) - (sqrt(33) + 3*sqrt(132)\/sqrt(4) - sqrt(33)))\/(sqrt(1100) - 3*sqrt(1100) - (sqrt(176)*-3 - sqrt(11))).\nAnswer: 5*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 5*f + 40 = 0, 1056*y = 1057*y + 5*f + 15 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**2 - w - 1. Let q be y(0). Let f(t) = -t**3 - t. Let r be f(q). Solve -2*j = r*j - 2*b - 14, -5*b = -5*j + 30 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-6))**(-5\/7)*j**(-10\/9)*j**(-16)\/j*j assuming j is positive.\nAnswer: j**(-808\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1122 (base 7) to base 3.\nAnswer: -120010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -950.2 rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74895*u = -74938*u + 10019. What is the remainder when 1391 is divided by u?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in 0.3, -5, -987, -90?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 2*t + 23. Let g be a(-10). Suppose 3*f = g*i + 7*f - 7757, 12905 = 5*i + 2*f. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1926*p**2 + 975*p**2 + 951*p**2 + 11*p**3 + 11*p**3 - 4*p**3.\nAnswer: 18*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 72 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 2*w - 3. Let u be y(2). Suppose -o - 4*i - 30 + 139 = 0, 4*o = -5*i + 392. Suppose 0 = o*j - 96*j + 27. Which is smaller: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -0.08, -7, 3\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z - 18 - 2. Is -6 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 41 = 5*a. Let u = 10 + -3. Let f = a - u. Is f greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 8  (b) 22  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -423 + 395 + 27*y - 29*y. Suppose c + 10 = -g + 2*c, 3*g - 2*c + 32 = 0. What is q(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2406 (base 11) to base 8\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95 + 91 - 29*c - 269 + 85 - 11*c.\nAnswer: -40*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + n = -39901, 19937 = 2*u - 27*n + 22*n. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 7 - 4*w**2 - 3*w**2 + 2*w**2 + 6*w**2 + 8*w. What is the tens digit of u(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**3 + 5*t**2 + 8*t - 8. Suppose -18 = -2*n - 6. Let a be u(n). List the prime factors of 105\/6*a\/5.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*z + 6 - 4 - 10*z + 4 in the form j*z + k and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 552266?\nAnswer: 2, 11, 13, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 5*f - 48 = 0. What is the remainder when (2 + 9)*(f + -5) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -33, 9, -3, -2, 5 in decreasing order.\nAnswer: 9, 5, -2, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -575*j**3 + 4*j**2 - 15*j - 18. Calculate l(-1).\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the second derivative of -5*w**3\/6 - 3*w + 3. Let z be (-1)\/((-1)\/(2 - 1)). Give b(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/3 or -38\/5?\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -32 + 16459*p**2 - 9*p + 3*p - 16460*p**2. Give m(0).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -381*c**2*f**3 - 948*c**2*f*k**2 + 2*c**2 + 444*c*f**3*k + c*k**2 + 663*f**3*k**2 + 2 wrt k?\nAnswer: -1896*c**2*f + 2*c + 1326*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v**5 + 42*v**4 + 105*v**3 + 66*v**2 = 0.\nAnswer: -11, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.01961, -5, 7 in descending order.\nAnswer: 7, -0.01961, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1988, 2108, 2236, 2372, 2516, 2668?\n\"Answer: 4*a**2 + 108*a + 1876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (108\/(-63) - 8\/28)\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00073509 to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 82 + -48. Let s = o - 19. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*z + 0*z + 3*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -98*z - 1176. Calculate j(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 754229?\nAnswer: 7, 107747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -206 + 381. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/7730639 or 1?\nAnswer: -2\/7730639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5664.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a + 2. Let k be (-96)\/21 + ((-72)\/21 - -3). Calculate g(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iddeoga. Give prob of sequence gi.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:04 AM and 7:03 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10296, 20954, 31986, 43392, 55172, 67326, 79854?\nAnswer: 92756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 182\/21 + (-1)\/(-3). Suppose -3*i + j = -9. What is the units digit of (-4)\/(-3)*27\/i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**2 + 8*w + 2. Let u be n(-8). Let m(a) = a**3 - u*a + 3*a**2 - 4*a**2 + 5*a - 6*a. What is the remainder when m(3) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 2  (b) 6.11734  (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -235 (base 9) to base 7\nAnswer: -365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1506133 and 65770?\nAnswer: 15061330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-5)\/(-2))\/((-5)\/10). Sort 3, -2, u, -7 in descending order.\nAnswer: 3, -2, u, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1470.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 3 = -21. Suppose 0 = -4*q + 2*h - 156, -q = -2*q - 5*h - 39. Let m = p - q. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-19)\/(8322\/(-85)) + (-2)\/12. Put 31\/4, -0.2, l in ascending order.\nAnswer: -0.2, l, 31\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.6573370131 - -0.2\nAnswer: -0.4573370131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9 - 4. What is the second derivative of 4*f - 3*f - f**l - 4*f**5 - 5*f wrt f?\nAnswer: -100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (2 - 0) - (5 - (30 - (-1 + 27)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 5*l - 12. Let j be 280\/l - (-2)\/(-6). Let y = -64 + j. What is the common denominator of 19\/3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4630964 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1187522 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*a + 3*a - a - 2*a in the form b*a + d and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 15*k**3 + 3*k**2 - 2*k - 2. Let o = -43 - -45. Is w(o) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p**5\/2 + 7389*p**4\/2 - 3029484*p**3 + 824004036*p**2 + 2493273960*p + 1666236744 = 0. What is p?\nAnswer: -2, -1, 822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 121 + -38. Let w = -21 + p. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 4*t + 4067 = 0, 4*o - 3*o + 2*t - 4071 = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/26*(-1 + -3)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from {h: 6, f: 1, y: 10}.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (15\/60)\/((-1)\/(-8)). What is the third smallest value in x, 3, -0.3, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 52266\/5 - 52252\/5. Let -k - 8*s + 6\/5*s**2 = 0. Calculate s.\nAnswer: -1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -5 - (-2)\/(-6)*0. Let d be (b - -3) + (-1 - -1). Let z be ((-2)\/(-3))\/(d\/(-15)). Which is greater: 4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6\/11 in 4, 2\/5, 534.02?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 102806?\nAnswer: 2, 11, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 5 + sqrt(448) + (-1*sqrt(448) - sqrt(448)))**2 + 0 + (sqrt(448) - (sqrt(448) - (-2 + 1*sqrt(448))**2) - (3 + (sqrt(448) + sqrt(448)*3)**2)).\nAnswer: -6262 - 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 19248 and 912.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 1962 = 3*u, -532 + 1805 = 2*u + 5*z. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**3 - 9*c**2 + 9*c + 10. Suppose 286*p - 259*p + 270 = 0. Give k(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the third derivative of p**6\/120 + p**5\/12 + p**4\/8 - p**3\/6 + p**2. Let q(g) = -g**3 + g**2 - 3*g + 6. Let s be q(2). Determine f(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 11 + 6 - (-10 + -18676). Calculate the highest common factor of 59 and u.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -768*z - 226 + 146 + 80.\nAnswer: -768*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**2. Let q(g) = 5057*g**2 + 55004 - 55004. Give q(p(k)).\nAnswer: 5057*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y - 3*y - 117 = -4*z, 3*z - 90 = -3*y. Suppose -11*j = z + 17. Is j at most -26\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 19 = 3*j, -101 = j + 5*r - 96 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27489152 divided by -13744576.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 122453, 121642, 120291, 118400, 115969, 112998?\n\"Answer: -270*x**2 - x + 122724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.516 - -8.776. Let p = -8.26 + u. Let t = 87\/460 - -1\/92. Which is the closest to t?  (a) p  (b) 3  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(2\/15)\/m**(-2)*(m**0)**8)\/(((m*m**4*m)\/m**3)\/((m*m*m**2\/m*m)\/(m*m\/((m\/(m*m**(-2\/3)))\/m)))) assuming m is positive.\nAnswer: m**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.5, 2443\/2, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -22*v**2 - 62*v + 20. Let d(t) = 2*t**2 + 2*t - 2. Let r(l) = 20*d(l) + 2*q(l). Factor r(o).\nAnswer: -4*o*(o + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 408723 is divided by 12300?\nAnswer: 2823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**3 + 2*p**2 + 2*p - 1. Let f be t(-2). Let m(x) = x**2 + 6*x - 1. Calculate m(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 3*r - 2 + 2 + 1. Let k be s(3). Let t be 2 + -3 + 2 + (-89)\/(-1). Calculate the highest common divisor of t and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 5*a**2 - 6*a - 2. Let t(w) = -4*w**2 + 8*w + 3. Give 4*o(y) + 3*t(y).\nAnswer: 8*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -656 at most as big as -94.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - -8 - (-24 + (1 - -41) + -13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**3 - 13*c**2 - 21*c + 14. Let m be q(-12). Let d = 36 - m. Let v = d - -128. Find the common denominator of 16\/13 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 91\/6 and 17\/392.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the second derivative of -57*y**3 + 168*y + 0 - 3\/2*y**2 - 3249\/4*y**4. Factor z(c).\nAnswer: -3*(57*c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and 9\/34135 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1327962860334 + 204\nAnswer: -1327962860130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 2*y**3 + 65*y**2 - 102*y - 10. Determine z(-34).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 0*u - 21 = 0. Let a(o) = 3*o**3 + 4*o**2 - 13*o + 2. Let p(q) = -q**3 + q**2 + q + 1. Let c(y) = -a(y) - 4*p(y). Is 5 a factor of c(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -709, -2574, -5691, -10060, -15681?\n\"Answer: -626*n**2 + 13*n - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (207\/(-27))\/((-2)\/840). Suppose -42*x - c = -49*x. Let p(f) = 2*f + 3*f + f**2 + 465 - x. What is p(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3*((-1)\/3 + 1). Suppose 4*y - 3*y + 2*j = -10, k*y - 5 = j. Let g(z) = z + 2. Give g(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 > -4\/819751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 + -6. Let l be (-8)\/10*10\/r. Solve 0 = 2*h - 2*d - 0*d - 6, -4*h + 4 = -l*d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 20 = 2*k, 3*b - 2*b = 5*k - 8. Is 31 a factor of (b\/(-14))\/(2172\/(-434) - -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 263 + 46c0?\nAnswer: 4953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the second derivative of -h**5\/2 - h**4\/12 + h**3\/6 + h**2\/2 - 5*h. Let l be i(-1). Solve -4*r - t - 4 = l, -2*t = -r - 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -139, 1, -4, -19, 5 in increasing order.\nAnswer: -139, -19, -4, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the first derivative of 5*p**3\/3 + 15*p**2\/2 - 6. What is the second derivative of w(h) wrt h?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 7, -1\/13, 0 in descending order.\nAnswer: 7, 0, -1\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 269.3 - 269.30000034585. What is s rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 29. Let u be ((-5)\/(20\/6))\/((-39)\/(-26)). Let s(n) = -5. Let b(f) = u*x(f) - 6*s(f). Let j(y) = y**2 - 9*y + 3. Determine -3*b(d) + j(d).\nAnswer: d**2 - 9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the second derivative of t**3 + 5*t**2\/2 - t. Let w be r(-4). Let m = 30.6 + -30.7. Put w, -2\/17, m in descending order.\nAnswer: m, -2\/17, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -284444*p*z**3 - 3*p*z + 1685*p - 3*z**4 + 2*z**3 - 112*z**2 wrt z?\nAnswer: -1706664*p - 72*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*t**2 + 15*t**2 + 17*t**2.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y**3 - 6064*y**2 + 255876*y + 822096 = 0. What is y?\nAnswer: -1557, -3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h = 4*i + h + 46, 0 = h - 2. List the prime factors of (-84)\/i + (-2)\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81 = -24*q + 57. What is the second biggest value in 1.6, 4, -0.1, q?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 864139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-128)\/(-12) - (-10)\/(-2)) + -5. Suppose -5*y = -3*j, 4*j - 20 = y - 3. Factor 0*t**2 + 0*t + 0 - s*t**4 - 2\/3*t**y.\nAnswer: -2*t**3*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 2*sqrt(5) - sqrt(55)\/((sqrt(44)\/sqrt(4) - sqrt(11)) + sqrt(11)).\nAnswer: -5 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56069 + 36811 = 54*c. List the prime factors of c.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 64 (base 7) to base 3\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c**4\/7 + 5256*c**3\/7 - 497120*c**2\/7 + 1200648*c + 204933924\/7 = 0. Calculate c.\nAnswer: -13, 57, 1213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -17735  (b) -5  (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 21, -1.09, 5 in increasing order.\nAnswer: -1.09, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 58 = -2*z, -a - 26 = -0*a + 2*z. Let s be (-16)\/(-24) + a\/(-3). What is the second derivative of s*p + 18*p**3 - 22*p**3 - p wrt p?\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 5*w - 18. Let p(v) be the first derivative of -v + 137. Let u(f) = -k(f) + 6*p(f). Let b(z) = 2*z**2. Calculate u(b(r)).\nAnswer: -10*r**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3.72  (b) -21  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 4023 divided by -9\nAnswer: -447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {l: 6, h: 1, x: 3, n: 3, f: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = t - 9 + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9971032?\nAnswer: 2, 1246379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10 and 142.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**2\/3 - 805*c + 2418.\nAnswer: -(c - 3)*(c + 2418)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -2*i**2. Let w(z) = 5*z. Let k be (-9)\/(-6)*14\/3. Suppose -4 = m + k. Let s(p) = -2*p. Let d(r) = m*s(r) - 4*w(r). What is a(d(t))?\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 37777823 to the nearest integer?\nAnswer: 6146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 2*u**2 - 9*u + 67. Let g be p(17). Calculate the greatest common factor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3.57 or 38\/11?\nAnswer: -3.57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 40*9\/576*(-8)\/(-50)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 34593343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 71872 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(4 + -5*2*(3 + sqrt(396) - sqrt(396))).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -750, -1500, -2250, -3000, -3750, -4500?\nAnswer: -5250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5181 is divided by 798?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.0167 + 0.2363. Let b = 0.27 - -0.03. Let u = b - q. Round u to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 899119.6 hours?\nAnswer: 53947176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**2 + 1855211*m + 11131230.\nAnswer: (m + 6)*(m + 1855205)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r**5 + 10*r**4\/3 + 12*r**3 - 2*r**2 - 20*r\/3 = 0. What is r?\nAnswer: -1, 0, 5\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 5, -3, 4, 0, -2, -2407 in ascending order.\nAnswer: -2407, -3, -2, 0, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, y: 5, p: 1, x: 1, f: 1}. What is prob of picking 1 y and 1 f?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 505*s**3 - 6*s + 4*s - 90*s**3 + s as p*s + y*s**2 + f*s**3 + d and give f.\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 16) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the first derivative of 0*f**4 + 0*f**3 + 0*f + 8\/5*f**5 - 2*f**2 - 4. Find the second derivative of y(g) wrt g.\nAnswer: 96*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -173, -182, -197, -218, -245, -278?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**(2\/3))**2)**(1\/24))**(-2\/71) assuming z is positive.\nAnswer: z**(-1\/639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -22013 - -1222332231?\nAnswer: 1222310212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the first derivative of l**3 - 24. Let z(n) = 181*n. What is z(t(i))?\nAnswer: 543*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 0*v + 22 = 0. Let l(z) = -27*z. Let a be l(-1). Solve -4*j + a - v = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:29 PM and 12:32 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.7  (b) 1.86  (c) -1\/3  (d) 10.7  (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -1\/4, -5234\/11, 4, 25, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 459 a factor of 691817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 34 in 3, -2\/31, -5\/4, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7230 and 10?\nAnswer: 7230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -15\/8 and 44\/19.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 21.62 - 18.62. Sort -1\/6, p, 17\/3, 1 in decreasing order.\nAnswer: 17\/3, p, 1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 79 - 18725*x + 18725*x - 79 + 2*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 101\/10 and 23\/168.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2368 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*p + 1 + 3*p**4 - 5*p**4 + 3*p**3 - 4*p**3 - 2 to n*p**2 + j + d*p + z*p**3 + g*p**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 93*o - 87171 = -5*o + 90699. Calculate the greatest common divisor of o and 1320.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -86450 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-1))\/(9\/12)*(30\/348)\/(-1)?\nAnswer: -10\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.4  (b) 1029.7  (c) -0.1  (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + ((-2)\/3 - (-70)\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes after 11:03 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 95 and 53570?\nAnswer: 5089150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -18  (b) 2101  (c) -1\/5  (d) 2\/9  (e) 825\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -77\/20 - -61\/20. What is the closest to 27 in -0.5, -0.1, 0.4, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*w**5 - 90*w**4 - 360*w**3 + 2720*w**2 + 9600*w = 0. Calculate w.\nAnswer: -4, 0, 6, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 + -1. Suppose 0 = 2*f + g - 6, -f + 5*g = l*f. Suppose 3*m - 3*o - o + 2 = 0, -2*m + f = -o. Is m < 3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -0.1  (b) -0.5  (c) 3  (d) -5\/3  (e) -5\/9  (f) 16.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 966 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -281*o - 149*o**2 - 36*o - 41*o + 1181*o**2.\nAnswer: 1032*o**2 - 358*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -14 - -18. Suppose 3*f = -y + t + 3, f - 13 = -3*y. Suppose 0 = 5*v + 2 + 18, y*p = 4*v + 24. Calculate the least common multiple of p and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6.3 - -1.7. Let w = 8.00000064 - f. Round w to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 416 <= 422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 724231\/110 - 6584. Calculate the common denominator of 83\/18 and g.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**3 - 4*v**2 + 4. Let m be g(4). Let x(j) = -j**2 - m*j**2 + 2*j**2 + 0*j**2 - 5*j - 5. Let p(n) = -10*n**2 - 16*n - 16. Determine 5*p(f) - 16*x(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5\/((-15)\/(-16))*-3. Let i = h - -16. Suppose -d + g + 75 = 0, -g = -5*d - i*g + 363. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14526 + -22495. Let o be (-1051995)\/(-132) + 1 - 2. Let r = o + f. Calculate the common denominator of 65\/14 and r.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12849, 25700, 38551?\nAnswer: 51402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r + 1. Let i(u) = 0*u - 4*u + 5*u + 0*u. Let v(a) = 3*i(a) - 2*n(a). Differentiate v(y) with respect to y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*l = -17*l + d - 676, 0 = 5*d. Let g = 175 + l. Calculate the remainder when 77 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -24 + -15 + 14 + (15 - 3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 135 greater than -2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5.1 - 5. Let u = 0.4 - w. Sort -2, u, -0.4.\nAnswer: -2, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the first derivative of a**4\/4 - 2*a**3 - 5*a**2\/2 - 10*a - 10. Let s be f(6). Is 552\/s*(2 - 7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 3*g = 3*l - 38, -2*l + 20 = g. Suppose 2*k = -5*u - 13, 0 = -4*k - 0 - g. What is the units digit of (-3 + (-1)\/1)\/u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-360)*8*15\/18.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the second derivative of -1\/21*h**7 + 0*h**5 - 15*h + 14\/3*h**4 - 1\/14*h**8 + 0*h**3 + 0*h**2 + 0 + 0*h**6. Find the third derivative of x(s) wrt s.\nAnswer: -480*s**3 - 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(7\/2)\/t**44 assuming t is positive.\nAnswer: t**(-81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -276 - -276. Suppose 10 = -5*w + 5*u, 6*u - 5*u - 4 = o. Factor 2\/3*k**3 + 6*k - 4*k**w + 0.\nAnswer: 2*k*(k - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 68\/3 and 38\/921?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -5*k + 1. Let c(b) be the first derivative of -2*b**2 + 49. Suppose 3*n = -n - 8. Calculate n*t(i) + 3*c(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y - 9488*u + 87 + 24 = -9491*u, -3*y - 4*u - 134 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*q + 22 - 62 = 0. Suppose 2*a + 4 = 0, 4*u + q*a + 9 = 49. Solve 4*t + 8 + u = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is next in -319, -2610, -8835, -20962, -40959?\nAnswer: -70794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56168 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p + 4*p - 2 = 0, 2*b + 5*p = 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -3*q**2 - q. Let r be (-21)\/24*-4*22\/1. Suppose -l + r - 76 = 0. Give j(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h + h - 2*h)*(h + 0*h + h) + 1 - 2*h**2 - 1 + 361956 - 4*h**2 + 536*h - 361956.\nAnswer: -2*h**2 + 536*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 7\/158, -6, 0.078.\nAnswer: -6, 7\/158, 0.078, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 8491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -49396 - -122262. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the third derivative of y**5\/30 + 11*y**4\/2 - 49*y**2. Factor a(j).\nAnswer: 2*j*(j + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v - 4*l - 5 = -0, 2*v + 5 = -3*l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*l**2 - 1 + 25 + 7*l**2 - 24.\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes after 5:05 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the second derivative of p**8\/336 - p**5\/30 - 5*p**3\/6 - p. Let v(x) be the second derivative of u(x). Find the second derivative of v(g) wrt g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 469.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -59.94 - 1.06. Let u = y - -65.8. Round u to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (140\/5*10\/200*5)\/(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2939\/38848 + -3\/1214. Calculate the common denominator of w and 71\/456.\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6958804?\nAnswer: 2, 179, 9719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/11 in -5, -2\/7, 38\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6766 + 65*w**2 - 6766)*(0 - 1 + 0) to y + o*w + j*w**2 and give j.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 190693598?\nAnswer: 2, 23, 491, 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2155251 and 7594694.\nAnswer: 159488574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is eight thirds of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the first derivative of 7*m**3\/3 - 7. Let v(o) = -2*o**2. Calculate p(v(l)).\nAnswer: 28*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 55 + (-162 - (49 + -52))?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 6*f**2. Let s(g) = -548*g. Give u(s(t)).\nAnswer: 1801824*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/(3\/(-30)*-3). Let s = -6 - o. Suppose s*r - 48 = -0*r. Calculate the remainder when 35 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.38147 minutes in seconds?\nAnswer: 382.8882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 153445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -3453116 (base 7) to base 9\nAnswer: -730302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11\/(-5)*(-27460)\/30206?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 45729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 20*h**2 - 201*h + 17. Let q be j(10). Suppose -9 = -3*o + o + t, -2*o + 4*t = -18. Solve -3*p + 5*a - o = p, -p - 5*a - q = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 1788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*p = 9*p - 57. Factor -3*o**p + 2*o**3 + 3*o**2 + 21 - 3*o - 20.\nAnswer: -(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/6*(3\/(-3) + -5). Find the second derivative of 14*z + 12*z**p - 6*z - 20*z wrt z.\nAnswer: 144*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4*t**3 + 1673 + 2410 + 2*t**3 - 5652 + 1071*t**2 wrt t?\nAnswer: -6*t**2 + 2142*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 + -7. Suppose 2 = -4*i - f. Let j be (190\/31)\/2 - (-78)\/22971*-19. Sort 2, -31, j, i in increasing order.\nAnswer: -31, i, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3745 + 2*c**4 + 0*c**2 - 10*c - 2*c**2 + 3744 in the form o*c**4 + j + f*c**2 + w*c**3 + k*c and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + n = -323, 5*f + 4*n + 0*n = -543. Let l = 388 - 236. Let x = l - f. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1, -789 in descending order.\nAnswer: 1, -3, -789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 248, -1, -46 in descending order.\nAnswer: 248, -1, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*o**3\/11 + 41244*o**2 - 779655954*o.\nAnswer: -6*o*(o - 37807)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -4*c + 24. Determine l(13).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6)\/21 + 61\/(-7). Let u = -138 - -60. What are the prime factors of u\/j + 12\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -4*v**5 - v**4 - 14*v**3 - 9*v**2 + 45*v + 27. Let k(n) = n**5 + n**2 - n + 1. Let b(u) = c(u) + 5*k(u). Let b(i) = 0. What is i?\nAnswer: -2, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/((-108)\/(0 + -4)) and -57\/8.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**2 + 16*i - 33. Calculate x(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -74 + 112. Do -1\/3 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-147)\/(-12))\/(-7)*(9 - 5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 40, 31, 16, -5, -32?\n\"Answer: -3*y**2 + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10 + 38. Let l(v) = -6*v**2 + d*v**2 + 24*v**2. Let t(w) = -2*w. What is l(t(u))?\nAnswer: 184*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + 3 - (-3 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(98) + sqrt(98) + 0 + -4 + -1)*2 - ((-5 + sqrt(98) + 1 - -2*(sqrt(98) + (sqrt(98) - (sqrt(98) + 0)) + sqrt(98))) + 2))**2.\nAnswer: 112*sqrt(2) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16 - 6*u**2 - 16.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 - -2. What is the units digit of 2\/(-1 + 3 - g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 11*n**2 - 35 + 8*n + 25 + 91*n - 2*n**3. Is s(-7) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 936 + -444. Suppose -m = -2*c - 160, -3*m + 5*c - 2*c = -i. Calculate the greatest common factor of m and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-513)\/(-9))\/((-3)\/(-4)) - (408\/24 - 2).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -4697883, -4697884, -4697895, -4697922, -4697971, -4698048, -4698159, -4698310?\n\"Answer: -i**3 + i**2 + 3*i - 4697886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 226882701 is divided by 141.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes after 3:10 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -187 - -186.9. Suppose 3*k - 5*f + 1 = 19, 3*f = -9. Which is the nearest to k?  (a) m  (b) 2\/3  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 121808515, 243617028, 365425541?\n\"Answer: 121808513*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 7*l. Let m(h) = -6*h. Let w(x) = -2*a(x) - 2*m(x). Let q(c) = 4*c + 124. Determine q(w(p)).\nAnswer: -8*p + 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -3*g**2 + 27*g - 2. What is j(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 3025, 3026, 3027, 3028, 3029, 3030?\n\"Answer: c + 3024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-6)\/27)\/((-2)\/(-6)). Let m = -5608\/17 + 330. What is the nearest to 0 in 5, x, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1184272011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 3 - 18 + 5 + 11 - 2*r**3 + 8*r**2 + 3*r**3 + 3*r. Calculate t(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -5 + (13 - 8) + (-3)\/(-18). Which is the third biggest value?  (a) 231  (b) 2  (c) t  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2832080.8 and -5?\nAnswer: 14160404","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.8*-104.8.\nAnswer: 188.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78*w + 77*w - 5*i + 26 = 0, 5*w = -i + 58. Sort w, -3, -1, 3 in ascending order.\nAnswer: -3, -1, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cyd when three letters picked without replacement from {d: 1, y: 1, c: 2, t: 1, u: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = n - 130 - 718, 2*f - 2548 = -3*n. What is the greatest common factor of 50 and n?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p - p + p)*(2*p**4 - 4*p**4 - p**4) + 240*p**5 + 46*p**3 - p + 3*p - 239*p**5.\nAnswer: 7*p**5 + 46*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 246 and 1095.\nAnswer: 269370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -398.8 - -399. Let z(b) = b**2 + 2*b - 1. Let r be z(-3). What is the closest to -1 in -0.3, r, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*h - 21*h - 16 = -331. Which is bigger: 16 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 3*s + 2. Let o be p(13). Let a = -40 + o. Suppose -5*q = -5*g + 95, -g + 8 = 2*q + a. Calculate the highest common factor of g and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p + u, 4*u = -3*p - 11 + 25. Differentiate 17 - 23 - 39*z**2 - 17 + p*z**2 wrt z.\nAnswer: -74*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 7 = o, h = 5*o - 8 - 79. Let n(y) = 2*y**3 - 32*y**2 - 32*y - 8. Let q be n(o). Solve 23*x - 15 = q*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -38 + (-6)\/(-3) + -3. Let o = l + 172. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (6\/15)\/((-37)\/(-3515)). Let a(z) = -z**2 + z - 34. Let g be a(0). Let n = l + g. Solve -c - 12 = -n*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes before 7:07 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 57 - 96. Let z = 34.1 + k. Round z to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 34*q + 39*q + 29 = 0, 2*x - 6 = 3*q. Which is the nearest to 0.17?  (a) 2\/5  (b) x  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3 and 45.38.\nAnswer: 48.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.949053 years to centuries.\nAnswer: 0.02949053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -814.33117 to one dp.\nAnswer: -814.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0007 plus 0.319328988884?\nAnswer: 0.318628988884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 2 b, and 1 a when four letters picked without replacement from bzzmamaamaazb?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00202573478 rounded to 5 dps?\nAnswer: 0.00203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6 less than 66.36?\nAnswer: 66.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*h + 3 = 12*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that 25*z**5 + 1836110*z**4 + 33713366455*z**3 + 13478810030*z**2 - 114628090220*z - 94395369880 = 0.\nAnswer: -36722, -7\/5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -3*k**4\/7 + 291*k**3\/7 + 591*k**2\/7 + 297*k\/7 = 0?\nAnswer: -1, 0, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t**5\/9 - 2236*t**4\/9 + 32066*t**3\/3 - 159240*t**2 + 972600*t - 2088000 = 0 for t.\nAnswer: -1160, 6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 699.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -4189\/3  (b) 0.1  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*n + 162*w - 159*w - 8, -4*n = 2*w - 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, l: 2, r: 4, s: 3}. What is prob of sequence rll?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (1*(0 + sqrt(1872)))**2 - (1*(sqrt(65) - 2*sqrt(65)) + sqrt(65))\/(sqrt(500)*2).\nAnswer: 1877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 149*i - 34966225 = -26*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22 (base 8) to base 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**3 + 14*t**2 + 10*t + 7. Let w be k(-13). Suppose w*j = 45*j + 13. What is the remainder when 44 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1446 + 2762. What is the remainder when j is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -740 divided by -20\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the second derivative of 47*t**3\/6 + 17*t**2\/2 + t - 11. List the prime factors of m(3).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8448 or -8454?\nAnswer: -8454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**0\/y)**(-16)\/(y**(-1\/3))**(-2\/63)*(((y**5*y*y)\/y)\/y**(1\/10))**(2\/151) assuming y is positive.\nAnswer: y**(2292761\/142695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -5*c + 1139, 0 = c + c + 10. Let t = j - 215. What is the remainder when t is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 43.31252 + -43.5725191. Let k = y + 0.26. What is k rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-7 + 1 - 2)*(2 - k - 2) - k + k - k)*(-4*k**2 + 4*k**2 + 26*k**3) as q*k**2 + w*k**4 + p + n*k**3 + h*k and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -3167 (base 10) in base 15?\nAnswer: -e12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(-2)*-2 - -14. Suppose -x = 5*s - 108. Let k = -10 + s. Calculate the remainder when k is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -740*w - 13864 - 8336 = 0 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.25*-3993011.\nAnswer: 998252.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b - 7. Let x(f) = -5*f**2. Let u be x(1). Let v be j(u). Let s be (v\/(-3))\/((-2)\/(-57)). Solve -3*a + 6 = -0*a, s = -5*h + 2*a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-384)\/(-448) - 512\/630\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*l**2 - l**2 - 732 + 732 - 76*l**2.\nAnswer: -71*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(468) + -1*sqrt(468))*2 + sqrt(468) + sqrt(468) - sqrt(468))**2 - (sqrt(468) + (3 + sqrt(468))*1).\nAnswer: -12*sqrt(13) + 465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 0.112504um?\nAnswer: 0.000000112504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**2 + 7. Let r(n) = -n**2 - 5. Let u(d) = -2*d**2 + 43*d + 64. Let o be u(23). Let h(f) = o*z(f) - 7*r(f). Let m(v) = 2*v**2 - 19*v. Give m(h(i)).\nAnswer: 8*i**4 - 38*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -40400440 (base 5) to base 6.\nAnswer: -10545104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1629838 - 3?\nAnswer: 1629835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**2 - 30*t + 28. Let h be j(29). Let n(s) = s**2 - 3*s - 3. Calculate n(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 195 is divided by (-154)\/55*-5 - (2 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:28 AM and 11:35 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o - 20 + 12. Let g(z) = -6*z**2 + 2*z. Suppose 12*f = 17*f - 25. Let h(v) = -13*v**2 + 5*v. What is f*g(i) + o*h(i)?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*sqrt(504))\/sqrt(8) - (sqrt(63) + (sqrt(315)*5)\/sqrt(5)))\/(sqrt(1089) + -5*sqrt(1089) - sqrt(1089) - sqrt(63)\/(sqrt(7) + sqrt(70)\/sqrt(10))).\nAnswer: 22*sqrt(7)\/111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 25 = -3*p - 2*p, -5*u - 34 = 3*p. Let l(r) = r**3 + 5*r**2 - 2*r - 7. Let m be l(u). What is the first derivative of -2 + 1 - m + 6 - 4*s wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/26288 and 77\/32860.\nAnswer: 131440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 57\/5 of a millennium in years?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4054 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -y - 5*m, -y + 2*m + 38 = -0*m. Suppose -5*w = 15, 2*w + y = 2*a - 60. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + 23 = -3*f - 0*o, -2*f = -5*o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 657282 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 2*i + 14. Let m(s) = -25*s - 94. Let w be m(-4). Suppose -4*k - w*c - 44 = -c, 2*k = 3*c. Give t(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 2*j**2 + 12*j - 15. Calculate the remainder when 21 is divided by b(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -0*h + 3*n + 1061988, 5*h - 2*n - 2654992 = 0. Round h to the nearest ten thousand.\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -108007 (base 14) in base 16?\nAnswer: -88aa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 9*(3 - 12\/(-9)). Let l = a - 24. What is the highest common divisor of 6 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/5, -16, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 3*o - o + 165 - 194. Let p(r) = -1309*r + 651*r + 656*r. Calculate p(n(z)).\nAnswer: -4*z + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 261 divide 55915074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (262\/3)\/(84\/(-18) + 4). Let d = -73 - m. Does 29 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -776 - 1696 = -3*t. Let x = 380253\/22 + -17280. Find the common denominator of ((-30)\/8)\/(-3)*t\/(-220) and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -605*v**2 - 576 wrt v.\nAnswer: -1210*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4564481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from {a: 2, j: 1, u: 1, e: 3, t: 3, g: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24 - 4*c**3 + 3*c**3 + 10.\nAnswer: -c**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -838 - -14244\/17. Let i = -4 - -3. What is the nearest to i in 3\/2, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1295392537 to the nearest integer?\nAnswer: 35992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2865 = 149*g + 42*g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.9 - 2. Let i = -0.4 + f. Suppose -3*n = 4*k - 6 - 2, -5*n = 4*k. Sort k, -3, i.\nAnswer: -3, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**3 + 4*o**2 + 2*o + 1. Suppose 3*z - 16 = 83. What is the remainder when z is divided by d(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/(-9) + (-7)\/9. Let m = y - -1. What is the third derivative of 2*w**5 - 4*w**5 - w**2 + m*w**5 wrt w?\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 3*g + 28 = f, 0 = 4*f + 5*g - 36. Suppose 0 = j - k - 11, 0 = f*j - 0*j - k - 50. Solve 0 = c - 5, 0*q = 3*q - 5*c + j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:17 PM and 8:02 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0.1, -6863, -2.3.\nAnswer: -6863, -3, -2.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8772 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4187118503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 - 0)\/((-3)\/9). Let a be ((-5)\/25*0)\/r. Suppose 4*u - 3*f + 24 = f, -4*f = a. Put 0, -1, u, 3 in ascending order.\nAnswer: u, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**2. Let d(f) be the second derivative of -f**4\/2 + 15*f. Determine p(d(s)).\nAnswer: 36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 - 4 - 4 - -7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 13*g + 9. Suppose -5*y + 4*y + 11*y = 0. Suppose -q - t = -8, -2*t + t + 2 = y. Let o(s) = -7*s - 5. Let n = -38 - -49. Calculate n*o(l) + q*p(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nqwcokk. What is prob of sequence nq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 415456 is divided by 9442.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/(-21) + (-13)\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 195 a factor of 201046106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the first derivative of 1\/3*u**3 - 3 - u - 2*u**2. What is g(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 26, 2, 0.3, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 14986272 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7.53 + -762.47.\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 7*w + 2. Let y(x) = x + 1. Let i(s) = -18*s - 7. Let n(o) = i(o) + 3*y(o). Give -9*k(a) - 4*n(a).\nAnswer: -3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6299049 is divided by 422.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -15*h + 263 + 112. What is the highest common factor of 1325 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81 - 45 = u. Let j = 5 - 3. Suppose -3 = -j*d + 3*m, 0*d = 4*d - 2*m - 18. Calculate the highest common divisor of u and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -148*v**5 - v**3 + 368*v**2 wrt v.\nAnswer: -8880*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 110111 (base 2) in base 9?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 44292434 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.057 + -0.057. What is the nearest to t in -0.4, 19, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 267\nAnswer: -1\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 95062363, 95062365, 95062369, 95062375?\n\"Answer: i**2 - i + 95062363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/25 and -79\/1575.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lgdl when four letters picked without replacement from dvldlvvllg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from jhtte?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is a - -827c06?\nAnswer: 827c11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 256, 2064, 6982, 16564, 32364, 55936, 88834?\n\"Answer: 259*n**3 + n**2 - 8*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5911*n - 183194 - 62729 = 4167*n - 34285 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 3*w - 25. Let a be n(9). Factor 0 + 2\/3*y + 4\/3*y**a + 2\/3*y**3.\nAnswer: 2*y*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-163*z - 244*z + 518*z)*((-3 - 2*z + 3)*(-z - 2 + 2) - 18*z**2 - 2*z**2 - 2*z**2).\nAnswer: -2220*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3637115, -14548612, -32734441, -58194602?\nAnswer: -90929095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z = 2*q + 7, -6*q - 19*z + 22 = -22*z + 13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 1 + 0 - l + (0*l + 5*l - 3*l)*(-4 + 6 - 5)*(-3 + 1 - 2)*(-7 + 4 + 7) to u*l + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*g - 3*g - 4*g - g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 78*y**2 + 106*y**2 + 44 + 50 + 7 + 19 - 12*y. Let a be u(-15). Round a to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 7 + 5. Let b(w) be the first derivative of -w**4\/4 + 7*w**3\/3 - 3*w**2\/2 - 5*w - 7. What is the remainder when b(q) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 4*u**2 - 10*u. Let g(w) = -11*w**2 + 30*w. Determine -8*b(h) - 3*g(h).\nAnswer: h**2 - 10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1767584?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-11\/7))**14 assuming z is positive.\nAnswer: z**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 2916*b**2 + 338*b + 33. Let z(n) = 486*n**2 + 57*n + 5. Let v(u) = 2*a(u) - 13*z(u). Find the second derivative of v(g) wrt g.\nAnswer: -972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 - (8 + -4 - (-2 + 0 + 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b597 (base 15) to base 2.\nAnswer: -1001010111111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2827178\/10003 + -88\/1429. Let k = 656 - 374. Let z = y - k. Sort z, 2\/7, 4 in increasing order.\nAnswer: 2\/7, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in two fifteenths of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4 + 3 + 0 + -3 + 1. Solve p - u + 7 = 0, 0 = a*p - 4*u + 40 - 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 33 - 8. Suppose 1 = -4*x + a. What is the units digit of (-3)\/x - 584\/(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 637*i**2 + 2*i - 642*i**2 + 12*i**3 + 9 - 6*i. Let q be d(5). Let l = q + 1907. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o - 2 + 2)*(2 + 2 - 3) + (-1 + 4 - 4)*(-o + 5*o - 2*o) - 13*o + 32 - 32.\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -16*o + 21*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p + 3*p - p - 1. Let s(a) = 9*a - 6. Let q = 507 - 508. Give q*s(i) + 6*n(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 48017293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(sqrt(120) + 2*sqrt(120)))\/(sqrt(12) + 3*-2*sqrt(12)))\/((((-1*sqrt(550) - sqrt(550)) + sqrt(550))\/sqrt(11))\/(sqrt(10) - sqrt(640)*-2))*-1.\nAnswer: 306*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 3 = 5*c - 6, -5*p = c - 45. Suppose -5*s = p + 1. Let h(o) = 8*o**3 + 21*o**2 - 9*o. Let u(l) = -2*l**3 - 5*l**2 + 2*l. Determine s*h(d) - 9*u(d).\nAnswer: 2*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**3 + u**2 + u + 2. Let v = 4 - 3. Let l be 0 + (-3*v)\/3. Let z(n) = -n**2. Give l*g(o) - z(o).\nAnswer: o**3 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1408.012*-0.22\nAnswer: 309.76264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 + -12 - (1 + -2)) + 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) -1\/6  (c) 1\/46  (d) -9  (e) -67\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10279 - 17996 = -13*i. Let k = -1230 + i. Is 21 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from kkzbbzkkkkkkzzzzrz?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 4*1*12*(-16)\/(-192)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -11375 at most as big as -11389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*g**2 + 3*g**2 + 0*g**2 + g**2 + g - g + (0 + 0 - g)*(-2*g + g + 3*g))*(2*g - 5 + 5 + 2).\nAnswer: -8*g**3 - 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-2860)\/60*(-78)\/143\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -323 - 133?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 33 and 217884?\nAnswer: 2396724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*i**4 - 10 + 10)*(6 + 2 + 1) + (3*i + i - 6*i)*(-2*i**3 - 3 + 3) - 4*i**4 + 4*i**4 - i**4 in the form o*i + j + p*i**3 + d*i**4 + b*i**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -6*c**5 + 27*c**4 - 21*c**3 - 42*c**2 + 36*c + 24 = 0.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 325114 (base 12) to base 10\nAnswer: 796768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.3  (b) -12  (c) -5  (d) 2775\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 49 - 7 = 0. Suppose -4*s + a = -2*s. Suppose s*k - 55 = 2*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -23.7 + 22. Let g = b - 3.3. Sort -1, g, 0.07 in ascending order.\nAnswer: g, -1, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -238259 by -19.\nAnswer: 238259\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**3 + 9*z**2 + 4*z - 10. What is the remainder when r(9) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 26 + -21. Suppose 3*h = -0*h + 5*n + 45, 0 = -f*n - 15. Let c = -7 + h. Solve c*z - 15 = -3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 36 and 1499400?\nAnswer: 1499400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that -2*o**5\/9 - 4261*o**4\/3 + 57602*o**3\/9 + 27003*o**2 - 14924*o = 0.\nAnswer: -6396, -3, 0, 1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 173.274 hours in seconds?\nAnswer: 623786.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 11 and (-108)\/(-189) + (-11637)\/(-7)?\nAnswer: 18293","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9132 >= 9133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*d**2 + 0*d**2 - 2*d**2 + (-4*d + 0*d + d)*(-3*d + 3*d + d).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 8 - (-3 + (2 - -4)). Suppose v*b - 42 = -b. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.1  (b) 328\/3  (c) -0.2  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c + 49. Let m be u(-29). Suppose 0 = 4*i - m, 6*n - 2*n - 811 = i. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that q**5 - 104*q**4 - 5723*q**3 - 40190*q**2 + 1077568*q + 11952640 = 0.\nAnswer: -23, -16, 14, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 678620 * -22.\nAnswer: -14929640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -66*s + 69*s - 1362. Let u = 462 - s. Suppose -i = 4*i - 25. Calculate the remainder when u is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 4*r = -19, t + 0*r + 7 = 2*r. Let s(d) = 21*d. Let a be s(t). Let f = 38 - a. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qsapwwnn. Give prob of picking 1 w and 2 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*s**2 + 12*s**2 + 6*s**2)*(0 + 3 - 6) + 2*s**2 - 4*s + 4*s + (-1 + 1 + s)*(3*s + 4*s - 3*s).\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.5 + 1.50048. What is a rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*j**2 + 2 + 0 - 8*j**2 + 4*j**2 - 25*j**3 to u + n*j + v*j**2 + k*j**3 and give k.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-27)\/198)\/(1\/4).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -2*z**2. Let l(s) = 6 - 6 - 17*s. Calculate n(l(j)).\nAnswer: -578*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1290 - 1275.94. Let q = t + -13. Let h = -0.96 + q. Do h and -9\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 divided by 494568.\nAnswer: 13\/494568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, -2\/9, -129, 287 in decreasing order.\nAnswer: 287, 2\/5, -2\/9, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*m**4 + 10*m**4 + 15*m**4 + (3*m**2 - m**2 - 4*m**2 + (4*m - 4*m - 2*m)*(m + 4 - 4) - 3*m - m**2 + 3*m)*(-m**2 - m**2 + 3*m**2).\nAnswer: 20*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 5 = -5*b. Suppose 4 - 6 = -v. Suppose 4*t + 5*c - 3*c - 18 = 0, c = v*t + 1. Solve -8 = -3*u - x - 4*x, -t*u = b*x - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -c + 3*c, 2*v + 4*c - 12 = 0. Solve -3*z + 4*p + 19 = v, 4*z - p - 24 = 3*p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 504 = -3*b, 200 = -b - 4*g + 15. Let k be (6\/27)\/(4\/(-3110)). Let u = k - b. Which is bigger: 19 or u?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (6*(2 + -3))\/((-14)\/(-1750)). Let x = -747 - i. Let a = 0.04 + 0.26. What is the smallest value in a, 2, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c = -4*q - 83, 19102*c = 19128*c + 3*q + 37 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 2 i when three letters picked without replacement from irjjirijiri.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-60)\/(-36))\/(40\/312). Let i be 3\/(-15)*2\/(-4). Which is the biggest value?  (a) -2  (b) u  (c) i  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.5  (b) -0.3  (c) 992  (d) 5340  (e) 5  (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2805\/4 + -701. Let o be ((-488)\/6)\/((-21)\/(-18)). Let k = o - -70. Sort k, 2, a in descending order.\nAnswer: 2, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dzndvsxsdsxdd. What is prob of sequence nx?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 66\/(-165) + (-686)\/(-40) - 15.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1792*n**3*w**3 - 110*n**2*w**2 + n*w**3 wrt n?\nAnswer: -10752*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -3 - -5 - (-3 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 96197?\nAnswer: 19, 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the third derivative of -37*v**6\/120 + 27*v**3 - 156*v**2. Differentiate y(w) wrt w.\nAnswer: -111*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 172*w + 14*w = -663*w - 70467 for w.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 16523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand s - s**4 - s + 0 + 0 - 2*s**4 - 13*s**4 - 5*s**4 + 7*s**4 + 2*s - 2*s + s**4 + (-s + 2*s**3 + s)*(2*s + 2*s - 5*s).\nAnswer: -15*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4.27 + 1.03. Let f = 1.76 - i. Which is the smallest value?  (a) 6\/31  (b) -2\/5  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a - 4. What is w(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -34 - (-5 - (60 + -19))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*f - 464 - 31 = 0. Suppose f*w - 4913 = -788. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 7 + 44 = 0. Let x = m - 10. Let d = x + -3. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wwwt when four letters picked without replacement from {c: 4, t: 1, z: 1, w: 11}?\nAnswer: 33\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 0 = 5*m. Let y be -2 - 4*(-1)\/m. Let p = y + 2. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -4*t**2 - t - 1. Let c(p) = -p**3 + 17*p + 8. Let w(z) = -2*c(z) + 4*k(z). Suppose w(i) = 0. What is i?\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + -9 - (6 + (-8 - 5))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 422 = n - 4*c, c - 2220 + 549 = -4*n. Let y = n + -1651\/4. Let s = 20627\/442 + -726\/17. Calculate the common denominator of s and y.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*s = 57*s + 90. Let d be 154\/8 + -2*s\/24. Solve -y - d = 3*q, -6*q - 20 = -q - y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the third derivative of q**4\/6 + q**3\/2 - 15*q**2 - q. Let i(r) = -3*r - 2. Calculate -5*h(v) - 6*i(v).\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76*c - 23*c + 1262052 = 0. List the prime factors of c.\nAnswer: 2, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 + -162?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -70 + 127 - 146*b - 57 to v + z*b and give z.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-2))\/((243\/405)\/(44\/20))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/((-10)\/(-4) - 3). Suppose h*b - 12 = 6*b. Which is smaller: -4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56*p - p**2 + 74*p + 3*p**2 + 25*p.\nAnswer: 2*p**2 + 155*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6*(-2)\/(-12)*4. Suppose -k*j + 6 = -t, j - 11 = -2*j + 4*t. Let q be (-1)\/(17*j\/(-2)). Sort 5, q, -1 in descending order.\nAnswer: 5, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**2 - 7*g - 8. Let i be k(8). Suppose -7*z + 553 = -i*z. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2600268905 to the nearest integer?\nAnswer: 50993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 649 by 18.\nAnswer: 649\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r - 5*a = 5, 3*r + 1 = -2*a + 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5637 - 5586. Let n(i) = i**3 + 5*i**2 - 9*i - 7. Calculate the lowest common multiple of v and n(-6).\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-2)\/(-4))\/(4\/(-144)). Calculate the remainder when 23 is divided by (-37)\/(-3) - (-6)\/z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 176077 (base 8) to base 3.\nAnswer: 10021120200","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + -3 + (-3 - -2 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 136429020 and 1799064?\nAnswer: 818574120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.91 plus 0.357594095?\nAnswer: -0.552405905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -3*v. Let g(u) = 993*u - 206. Let f(b) = g(b) + 4*s(b). Find the first derivative of f(n) wrt n.\nAnswer: 981","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -15*p - 45*p + 60*p + 7339*p**2 - 800*p**2 in the form k*p**2 + a + n*p and give k.\nAnswer: 6539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 49345593 and 528.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -19 - (-8 - (-12 - -15))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -801*r + 7136. Calculate o(9).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -477*z + 161*z - 2528 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v + 11. Let y be x(-6). Let p(t) = 3*t**2 + 7*t - 8. Let f be p(3). Calculate the greatest common divisor of y and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -260*o**5 - 4*o**4 + 4*o**3 - 5*o + 9. Let j(s) = s**5 - s**4 + s**3 + s + 1. Let f(p) = 4*j(p) - y(p). What is the second derivative of f(u) wrt u?\nAnswer: 5280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -u - 9 - 3, -5*y - 5*u = 0. Solve -y*k = -0 + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:41 PM and 4:48 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 3*u + 671. List the prime factors of z(0).\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2265 - 2261. Which is the third biggest value?  (a) -19  (b) 2\/141  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - (-6 - -3)) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/15 in 3, -0.4, 5, -7, -1\/177?\nAnswer: -1\/177","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1046*p + 502*p + 26*p + 511*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7\/92 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (57\/(-18))\/(11\/(64911\/28)). Let o = y + 667. What is the closest to -2 in o, -3, -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 151.7 + -151. Which is the third smallest value?  (a) n  (b) -3  (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -5*s**3\/2 - 9339*s**2 + 35350031*s\/2 + 17684352 = 0.\nAnswer: -5117, -1, 6912\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w + w - 4*w)*(5*w**3 + 5*w - 5*w) + 15*w**4 + 0*w - 13*w**4 + w + (-1025*w**2 - 44*w**3 + 1025*w**2)*(-w + 0*w + 0*w).\nAnswer: 36*w**4 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:36 PM and 1:25 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (y**3 - 3*y + 3*y)*(-40 - 42 + 47) + 0*y**2 - 137*y - 3*y**2 + 3 + 135*y + 2*y**3 to the form j*y**2 + k*y + p + u*y**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1132279119 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -98216, -98217, -98218, -98219?\nAnswer: -98220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -13*q*w**2 - 54*q*w - w**4 - 2*w wrt w?\nAnswer: -26*q - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - -2*(-25)\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 687134 (base 11) in base 14?\nAnswer: 20640d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 56767 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1102*g + 865*g**2 - 1102*g.\nAnswer: 865*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 531215.\nAnswer: 5, 106243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 114 divided by -1991?\nAnswer: -114\/1991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1257 and 248666863?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:43 AM and 1:28 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 49, 202, 459, 814, 1261, 1794?\n\"Answer: -w**3 + 58*w**2 - 14*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - 88\/10 - ((-288)\/(-165))\/6?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -123*b**2 + 6*b - 4. Let o(d) = d**2 - d + 1. What is l(t) + 4*o(t)?\nAnswer: -119*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 3*f - 30113 = -4025, 5*i = -4*f + 26084. What is i rounded to the nearest 100?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -w - 3*w. Let t(v) = 2*v**2 + 11*v - 3. Let c(d) = 2*d**2 + 10*d - 3. Let s(k) = 6*c(k) - 5*t(k). Let j be s(1). Put 0, j, w in ascending order.\nAnswer: w, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z + z + 4*b - 96, -3*z + 76 = 5*b. Let m(n) = -n**3 + 21*n**2 + 20*n + 42. Let w be m(z). What are the prime factors of (-339)\/w + 9\/18?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 87506398 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 16*t**3 + 6*t**2 - 7*t + 6. Let g(i) = 15*i**3 + 5*i**2 - 7*i + 5. Let y(v) = 6*g(v) - 5*j(v). Find the second derivative of y(p) wrt p.\nAnswer: 60*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1559 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v = 1 - 55. Let k(h) = -2*h - 17. Let b be k(v). Calculate the greatest common factor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 898.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 35*n + 4304. Let q be f(-114). Calculate the highest common factor of 1 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*q**5 + 4*q**5 - 3*q**5 + (2 + 3 - 6)*(15*q**5 - 22*q**5 + 44*q**5).\nAnswer: -31*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vn when two letters picked without replacement from hvhnvnnn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24 and 208.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*y**3 - 4*y**3 - 3*y**3)*(-4 + 5 - 3) + 3 - 3 - 2*y**3 + (1 + 1 + 0)*(2*y - 2*y - y**3) + 3*y**3 - 3*y**3 - 2*y**3.\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/8 + (-105)\/(-4). Let p = 50 - k. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -348 divided by 95003?\nAnswer: -348\/95003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-10)\/(-35) + (-4)\/14*1. Determine b, given that -1\/4*b**4 - 1\/4*b + x - 3\/4*b**3 - 3\/4*b**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/9 - 19\/(-3). Let o = j - 3. Is 19 a factor of -3 - (o + -247)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -2*p - 62. Let u(z) = -2*z - 61. Let y = 25082 - 25085. Give y*u(d) + 2*l(d).\nAnswer: 2*d + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -v - 5*k + 5, -5 = -6*k + k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -219.6 - -219.62237. What is s rounded to 3 dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 + 7 + 13 + (1 - 1 + 2)*(1 - 2 - 2) + 3 - 1 + 4)*(4*i + 9*i**2 - 4*i) in the form p*i + z*i**2 + k and give z.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 12*a**2 - a + 3. Let z(p) = 20 - 519*p**2 + 2*p + 496*p**2 - 27. Calculate 7*x(g) + 3*z(g).\nAnswer: 15*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 937 - 1245. Is -310 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 109166.78 + 33277.685. Let q = x + -142351.465111. Let o = q - 93. What is o rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the first derivative of -u**2 + 2*u - 1491. Let b(d) = -1. Let h(t) = -7*t + 1. Let c(z) = 6*b(z) - h(z). Determine -6*c(w) - 22*j(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -242 - -21114242?\nAnswer: 21114000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r**2 + 4 - 4)*(68427*r**2 - 1155*r**3 - 68427*r**2).\nAnswer: -2310*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**2\/9 - 2950*a\/3.\nAnswer: -2*a*(a + 4425)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 4*b + 8 = 0, 2*b = 4*a + 3*b + 2. Sort -2, a, -6 in descending order.\nAnswer: a, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 88082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 - -11. Let v(j) = j + 7. Let c be v(-10). Suppose -5*k = -2*p + 27, 10*p - 8*p = -3*k - 13. Sort c, t, k in increasing order.\nAnswer: k, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 568932645 is divided by 82.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2439 and 32.8.\nAnswer: 79999.2","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: What is next in 2863053, 2863052, 2863051, 2863050?\nAnswer: 2863049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 102 is divided by (3 - 4)\/(-4 + (-357)\/(-91))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(4*(sqrt(7) + -3) + sqrt(7) + sqrt(7) + (sqrt(42) + sqrt(252)\/sqrt(6) + sqrt(42) - sqrt(42))\/sqrt(6)).\nAnswer: -32*sqrt(7) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**2 - 3*h - 2. Let u be c(4). Suppose -5*p - u = -5*r + 53, 4 = -r + 4*p. What is the units digit of (-10)\/(-4)*r\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -4*p**4 + 32*p**3 - 32*p**2 - 128*p + 192 = 0?\nAnswer: -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 2 = 3*b, 4*f - 2*b = 76. What is the least common multiple of 20 and f?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -33\/202 or 0?\nAnswer: -33\/202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 3*y - 9, 0 = 6*y - 2*y + 5*d + 7. Calculate the highest common divisor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -4*r**3 + 4*r + 7. Let d(j) = 12*j**3 - 11*j - 21. Determine 4*d(s) + 11*n(s).\nAnswer: 4*s**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 252243 not equal to 252243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (216\/(-32))\/((1\/2)\/((-18)\/27)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from araapaoaararpaaaat. Give prob of sequence rro.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-96)\/28)\/((9\/(-10))\/(4284\/510))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 8*k + o = 28, 0 = 5*k + 4*o - 22. Let b(c) = 35*c + 41. Is b(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n - 60. Let g be j(0). Let k = -36 - g. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 3, j: 5, o: 4, g: 1}. Give prob of sequence jg.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -376.3 + 355.17. Let l = 21 + u. Let j = 0.42 - l. What is j rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 + 3 + (-51)\/15. Sort -0.3, -2, i in ascending order.\nAnswer: -2, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + 2*i + 10 = 0, 5*g = i + 5. Suppose -o + 0*o + 3 = g. Let t(y) = -4*y + 29. Let a be t(5). What is the greatest common divisor of a and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9 - 5. Suppose 0 = -10*l + 5*l - 10. List the prime factors of (l\/z)\/((-1)\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 88 and 72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*m - 9*m + 9*m - m - 6*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1662776 (base 8) to base 12\nAnswer: 1b4712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5550 and 609168.\nAnswer: 15229200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0434621 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.8 and -2.7.\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4.12 - 0.12. Let t = 3.8 - u. What is the biggest value in t, 0.1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -6*n**2 - 2*n. Calculate v(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -85*f + 17*f + 28*f to the form x + z*f and give z.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -40141\/43764 + 2\/3647. Calculate the common denominator of ((-321)\/(-66)*-1)\/1 and h.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes before 10:24 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**1*v\/v**(1\/10)*(v*v**13)**(-3))**(-41) assuming v is positive.\nAnswer: v**(16441\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6532.00008898 + -6532. What is p rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1029)\/sqrt(7) - sqrt(192)*-3) + (4*sqrt(147)*-2*2)**2.\nAnswer: 31*sqrt(3) + 37632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(5500) + (2*sqrt(5500) - sqrt(5500) - sqrt(5500)) + sqrt(5500)))\/(sqrt(15)\/(2*sqrt(27)))*2.\nAnswer: -1200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 11*t - 260. What is the smallest common multiple of q(24) and 1444\/18 + 16\/(-72)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 11 + 3 = 0. Let h be -2*(g\/4 + -2). Suppose h*f + 4*k + 38806 = -126206, -2*f - 110003 = k. What is f rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 = 4*z - 77. Solve 0*i + 3*i = 4*y - z, -5*y = -4*i - 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-4)\/96)\/(2353\/(-437866)). Let q = -2\/543 + y. Let n = -163\/8 + 679\/40. Find the common denominator of q and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 1 o, and 2 f when four letters picked without replacement from {o: 3, q: 2, f: 3, m: 3, s: 2, u: 1}?\nAnswer: 27\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 5*v + 31 = 0, -2*b + 2*v + 0 = -10. Suppose -s + 4*j = -296, 3*s + 3*j - b*j = 860. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -4, -11, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -0.3, -2.5, -5, -8 in descending order.\nAnswer: -0.3, -2.5, -5, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 + 101011100?\nAnswer: 101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/8 and 97\/504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57456 = -3859*g - 4349*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**3\/6 - 13*g**2\/6 + 6*g.\nAnswer: g*(g - 9)*(g - 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7 - -11. Let g(c) = 2*c**3 - 5*c**2 + 2*c + 4. What are the prime factors of g(r)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-1) + (-1 - -2). Suppose d + q = -1. Let t be (6\/(-6))\/(2\/d). Solve 4*z = t*f - 26, 0*f + 1 = -3*f - 2*z for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 2*n + n = 12, -4*o = 2*n. Suppose 0 = o*x - 4*x. Suppose -5*l + 109 + 536 = x. What are the prime factors of l?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 + 411?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -7*b**3 - b**2 - 5*b - 4. Let h(s) = s**3 + s + 1. Calculate a(x) + 5*h(x).\nAnswer: -2*x**3 - x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -114 + 4 - (-141 + 119)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -4*t. Let f = 95 + -80. Let u(a) = -27*a - f*a + 6*a + 12 - 30 + 17. Give w(u(j)).\nAnswer: 144*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 - 0. Let r be 2 - (-1)\/(y\/(-2)). Suppose -r*o - 6 = -o, 2*o + 9 = i. Solve -15 - 5 = -4*d - 2*n, -i*d + 3*n = -6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -6*u**2 + 5*u + 4. Let p(f) = 11*f**2 - 10*f - 8. Let y(w) = 5*i(w) + 3*p(w). Is y(5) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 2\/99094361?\nAnswer: 2\/99094361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Are -278.7 and -10\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*o - 10 - 252*o**2 + 252*o**2 - 2*o**3 in the form c*o**2 + q*o + x*o**3 + y and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4970359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from znznznznnnznzz. What is prob of picking 2 z and 2 n?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 22009776*i + 38177069 with respect to i.\nAnswer: 22009776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5305619?\nAnswer: 11, 31, 15559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 46\/5 of a meter?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66)*-3*6*4*3)\/(sqrt(150)*-2*-4*1).\nAnswer: -27*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o + 1. Suppose -k - 3 = -5*z + k, -z - 17 = 4*k. Let p(s) = -s**2 + 6*s + 2. Let u(f) = z*p(f) - 6*r(f). What is the derivative of u(w) wrt w?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4289 + -1851. Is 53 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11 + 2. Let q = -1 - n. Let -u**2 + q*u - u**2 - 2 - 3*u - u = 0. What is u?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/17)\/(273\/182)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (39 - (-11 + 67) - (-67 - 0)) + -9.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2064 * -2.71\nAnswer: 5593.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 0*s = 0. Suppose -5*a - 15 = 0, s*a = 2*c + 3*a - 21. Suppose 3*z - 50 = -2*z. What is the highest common factor of z and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 80499983803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 203  (b) 4  (c) 2\/19  (d) 0.1  (e) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10101111110011100000 - -101?\nAnswer: -10101111110011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*z - 2*z - z**3 - 7*z**3 + 2*z**3 + 2*z**3 + (-3*z**2 + 3*z**2 - z**2)*(z - 4*z + 4*z) + z**3 - 5*z**3 + 3*z**3 + 3*z**3 - 71*z**3 - 9*z**3.\nAnswer: -83*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 26039364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**2 - b - 24. Give x(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 257847724?\nAnswer: 2, 3467, 18593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -24881?\nAnswer: -24881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 215 and 303444593.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**3 + 6*u**2 + 5*u + 9. Let r be d(7). Let c(p) = p + 13. Let y(b) = -b. Let a(v) = -c(v) - 3*y(v). Let j be a(9). Sort j, -3, r.\nAnswer: r, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4164 - 4124. Solve 0 = 13*n - s + 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -f - 2*f - 239*f**2 + 242*f**2 wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2682858 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v - 11 = -3*n + 29, n - 4*v + 15 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -81 + 5*c**3 + 143 + 4*c - 60 + 5*c**2 to j + o*c**2 + g*c + t*c**3 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 162617290?\nAnswer: 2, 5, 11, 859, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 213020 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:40 PM and 11:02 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11, -3, -45, -115, -213, -339, -493?\nAnswer: -675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 48958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -2*z**2 + 2*z + 3*z - 2*z + 3*z - 50 + 1. Let t(m) = -8*m**2 + 25*m - 197. Let r(k) = 9*i(k) - 2*t(k). What is the first derivative of r(s) wrt s?\nAnswer: -4*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(640)*-1)\/((-1*sqrt(72))\/sqrt(9)).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1520691.\nAnswer: 3, 23, 22039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-25)\/b)\/(b\/(b*b*b*b**(-4\/3)*b)) assuming b is positive.\nAnswer: b**(-73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -146a36a6 + 1?\nAnswer: -146a36a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 4596448524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 9) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 + 5. Let i be 0 - ((-4)\/2)\/(50\/75). Solve -3*m - 4*w = -6*m + 19, x*m = i*w + 16 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -36 divided by -422?\nAnswer: 18\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 688 minutes before 2:26 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 + 456*x + 12766. Calculate j(-30).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**2 + 6*b - 9. Let f be g(-8). Let p(v) = v**3 - f - 4*v**2 - 2*v**2 - 6*v**2 + 3*v**2 + 10*v. What are the prime factors of p(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 440, 451, 490, 575, 724, 955, 1286, 1735?\nAnswer: 2320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*y - 2*y - 3*y)*(-2 + 2 - y) - 11 + 11 - 21*y**2 - 2 + 2 + y**2 + (1 - 1 + 2*y)*(-4*y + y + 2*y) - 112*y**2 - 17*y**2 - 26*y**2.\nAnswer: -178*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of -99.298 and 0.5.\nAnswer: -49.649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + f = -8. Suppose f - 5 = -3*u, -5*o + u = 51. Which is bigger: -35\/4 or o?\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5773072.\nAnswer: 2, 360817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 + 3 = -4*l, -5*j + 5*l + 50 = 0. Suppose 6*n + 31 = j*n. Let z = n - 11. What is the greatest common divisor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(-3) - 6\/9. Let a be 2*2 + (-3 - d). Solve f + a = -0, 3*f = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -279514 and 12.2.\nAnswer: -279501.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 + -1 - 136\/(-119)*7. Let j(v) be the second derivative of 0 - h*v**2 - 5*v - 5\/3*v**4 + 8*v**3. Factor j(m).\nAnswer: -4*(m - 2)*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -4*c. Let f(z) = 3449040*z + 19*z**2 + 2*z**2 - 3449026*z. Give f(t(q)).\nAnswer: 336*q**2 - 56*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 7*n**4 - 3*n**2 + 20*n. Let l(u) = -43*u**4 + 17*u**2 - 119*u. Let c(d) = -34*h(d) - 6*l(d). Find the second derivative of c(f) wrt f.\nAnswer: 240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 5*o + 20 = 0, 4*a - 4*o + 13 = -3. Suppose 3*w + 3 = 4*c, -2*c + 12 = -a*w + 2*w. Suppose 0 = -p - c*f + 12, -p - f + 24 = -4*f. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**3 - 5*j**2 + 5*j - 2. Let k be p(4). Suppose -k = -f + 3*f. Let s be (1 - f)*2\/(-4). What is the second biggest value in -1\/6, s, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*k + 7*k + 9*k + 8*k - 3*k - 34.\nAnswer: 6*k - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j**3 - 5*j**2 + 14*j + 3. What are the prime factors of v(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 3*r + 2340, -214*o + 213*o + 3*r + 792 = 0. What is the lowest common multiple of o and 129?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*o + 4*o + 3*o)*((-1 - 1 + 3)*(0 + 3 - 4) - 4 + 2 - 1) + (-1 + 1 - 2)*(-3*o + 0 + 0) + (-6*o + o + 4*o)*(5 - 10 + 24) to c*o + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1002201322 - -1213?\nAnswer: -1002200103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -3897*d - 77285. Give k(-20).\nAnswer: 655","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.7 + -0.3. Which is bigger: 0.04 or u?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:44 PM and 12:46 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 0*r + 4*r + 99 = 0, 2*q + 4*r - 46 = 0. What is the remainder when q is divided by (12*(-50)\/(-80))\/((-9)\/(-6)) + 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the third derivative of x**5\/60 + x**4\/6 - 9*x**2. Determine f(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + (27 - 21)*(-3)\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -563\/395 - -2\/79. Suppose 0 = 440*x - 445*x - 5. Which is greater: o or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1505 + -1509. Let f(z) = 2*z**2 + z + 2. Give f(d).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - -335125?\nAnswer: 335126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-129 - -135) + (-1 - 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*q**3 + q**2 - q**2)*(-142*q + 92*q - 91*q - 155*q) as z*q**2 + p + n*q**4 + j*q + d*q**3 and give n.\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -610*d**2. Let n(a) = 3*a - 1. What is j(n(b))?\nAnswer: -5490*b**2 + 3660*b - 610","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 26\/683 less than -29773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 19766880 to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 44757 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (10\/75)\/(2\/20) - (-1161)\/(-81)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*c - 5*c - 26 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 4, 6, 1, 21 in descending order.\nAnswer: 21, 6, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in nine tenths of a meter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes before 7:07 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**3 + 74*x**2 - 72*x + 228. Calculate y(-75).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 799*v - 3*v**2 - 831*v - 29 + 2*v**2. Let f be q(-1). Factor 0 - 1\/4*p**3 + 3\/2*p**f - 2*p.\nAnswer: -p*(p - 4)*(p - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 337810536 a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -404401*a**3 + 202192*a**3 + 202197*a**3.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the first derivative of -29*m**7\/420 + 19*m**6\/40 + 47*m**3 + 67. Let f(a) be the third derivative of s(a). Find the third derivative of f(g) wrt g.\nAnswer: -348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*d, 2*n - 11 - 1 = -4*d. Suppose 3*a - l + 3 = 0, n = -4*a - 2*l + 6. Suppose a = 3*v + 15, 3*y - v - 516 = 2*v. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7029654707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-u + 3*u - 4*u - 2*u + u + 3*u + (-3 + 2*u + 3)*(3 - 1 - 1) + 6*u - u - 3*u)*(57*u - 170*u - 217*u) as s*u + v + r*u**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3433\/8540 + 23\/610. Let k = -53\/35 - v. Calculate the common denominator of k and 97\/34.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 5\/(-5) + 1*8. Let c(w) be the third derivative of -w**5\/60 + w**4\/3 + 7*w**3\/6 - w**2. Is c(f) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -6*c - 7. Let r(d) = -d - 1. Let u(y) = -39*r(y) + 6*s(y). Suppose -4*z + 24 = -4. What is the units digit of u(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -3, -8*t + 2 = -4*t + 2*j. Let d(b) = -2*b**2 - 2*b**t + 1 - 3*b**3 - b + 3*b**2 + 10*b**3. What are the prime factors of d(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 2*s + 13. Suppose -94 = 37*y + 17. Let t be q(y). Solve -j = t*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10.1 + -9.9. Which is the closest to 1\/4?  (a) 3  (b) -2  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -7*p**2 + 4*p - 9. Let n(l) = l**2 + 1. Let x(v) = 6*n(v) + s(v). Let m be x(3). Solve -w - 3 + m = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 12 = 4*o - 0*j, -3*o = 4*j + 23. Put -1\/10, 0.3, o in decreasing order.\nAnswer: 0.3, -1\/10, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**3 - 2*x**2 + 13*x - 4. What is the remainder when r(-6) is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*j = -11*j. Solve 2*a - 3*s - 17 = j, -5*a + 3*s = -5 - 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - 97 - (-302 - -269)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*g**4 - 6*g**4 + 3*g**4)*((52 - 126 + 50)*(9 + 0 - 1) - 3 + 1 + 1 + 1 + 2 - 2 + 2 - 2 - 1 + (2 + 0 - 1)*(2 - 2 + 1)).\nAnswer: -192*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are -4 and 1618 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/15 in -7, 96, -3\/55, 1?\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 282\/1103 or 0?\nAnswer: 282\/1103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 r, and 1 s when three letters picked without replacement from yxykxysssrykss?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -8*j**3 + j**2 + j + 1. Let o be n(-1). Let i(t) = -3*t**2 - 5. Let v be i(9). Let y = o - v. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o + 7. Let k be t(4). Find the second derivative of -6*y + 7*y**2 + k*y + 14*y**2 - 8*y**2 wrt y.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*q**3 - 96*q**2 + 8*q = 0.\nAnswer: -2, 0, 2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/25, 2\/9, 3, 1\/9, -4\/3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (24\/(-9))\/(4\/(-54)). Suppose 25 = y + 1. What is the highest common divisor of y and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*a + 6*a + 77 - 67 + (a - 2*a - 2*a)*(-4 - 9 + 4) - 1 - a + 1.\nAnswer: 32*a + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 34*x**3 - 2056*x - 184643 wrt x?\nAnswer: 102*x**2 - 2056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2959714 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -23?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -302*b + 5194. Calculate j(16).\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11506?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66*y + 4779 = 5373 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -12 + (6 - 44\/8)\/(-16 + 20153\/1260)\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/(-30) - 166\/(-5). Let t(d) = -d**3 - 20*d + 26*d**2 + 7 - 15*d + 4*d + 7*d. Let x be t(25). Which is smaller: w or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 44 and 284?\nAnswer: 3124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 33 = -3*m, 27*s = 31*s + m - 35. Suppose 0 = -z + 23 - 3. What is the remainder when z is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes before 12:23 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 18 + -13 + (31 - (-9 - -110))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) -3\/5  (c) -0.086725  (d) -0.3  (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -8.4, 3\/5, -4\/109, 2, 0?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7030113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(490)\/(sqrt(40)\/sqrt(4)))\/(1*sqrt(63)) + 4*(-2 + (1 + sqrt(448) - sqrt(448))).\nAnswer: -4 + sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 86, 22, -66, -184, -338, -534, -778, -1076?\n\"Answer: -r**3 - 6*r**2 - 39*r + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -245497509\/4 - -1086326456699\/17700. Let v = 2\/1475 - t. Sort v, 1\/3, -0.1.\nAnswer: -0.1, 1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -y - 0*y, 3*y - 2*o = 0. Suppose 4*b = -y*b - 24. Let i(x) be the second derivative of -x**5\/20 - 5*x**4\/12 + x**3 + x**2\/2 - 63*x. What is i(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -10, -14.53, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -42604 (base 15) in base 7?\nAnswer: -1535002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -16?  (a) -0.1  (b) 0.06  (c) 31.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 15) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 801 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2667 = -245*y + 3948 for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1005 is divided by 144.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g. Let x(o) be the first derivative of -17*o**4\/12 + o**3\/3 + 64*o + 120. Let q(r) be the first derivative of x(r). Calculate q(y(w)).\nAnswer: -17*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -474 + 477. Let w = -0.06 - 0.44. Let l = -43 + 39. Sort -2, k, l, w in decreasing order.\nAnswer: k, w, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*s + 2 - 2)*(2 + 0 + 6) in the form p*s + q and give p.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g*g**7))**(7\/4)*g**(-1\/15)\/g**(-19))**(-22) assuming g is positive.\nAnswer: g**(-4411\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 + -9.2. Let j = 5 - 1. Which is the nearest to j?  (a) 2\/13  (b) h  (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7911 and 432?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/((2\/4)\/((-1)\/(-14)))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**3 + 5*w**2 - 3*w - 7. Let a be x(3). Let i(y) = 8*y**3 + y**2 - 3*y - 3. Let s be i(-2). Is a*(-1 - 57*s\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 10639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 626051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) -0.2  (c) 0.108  (d) -95179  (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -0.187, -1, 0 in decreasing order.\nAnswer: 0, -0.187, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-55)\/(35750\/(-50))*(247 + 0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -15, -2, 19, 48, 85, 130, 183?\n\"Answer: 4*v**2 + v - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the second derivative of -d**6\/30 - 3*d**5\/20 - 23*d**4\/12 - d**3\/6 + 769*d**2 - 86*d - 3. What is the second derivative of l(y) wrt y?\nAnswer: -12*y**2 - 18*y - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**3 + d. Let g = -3 + 4. Let h be (-23)\/6 - 2\/12 - 0. Let z(w) = -2*w**3 + 2*w**2 + 5*w. Calculate g*z(f) + h*i(f).\nAnswer: 2*f**3 + 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.617 - 0.173. Let w = -0.89 - i. Which is smaller: -1\/2 or w?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 112 and 46832?\nAnswer: 327824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -601796511 by 9.\nAnswer: -66866279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 4*q - 66 = -p, 4*q + 20 = 0. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 15 = -6*c. Let d(b) be the third derivative of 3\/10*b**5 - 2\/3*b**c + 0 + 7\/12*b**4 + 0*b - 3*b**2. Determine x, given that d(x) = 0.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0, -109 in ascending order.\nAnswer: -109, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 6c7 + 2?\nAnswer: 6c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are -2\/55 and 100222 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 159 is divided by 79.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 23256 and 1270872.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 108\/(-6) - -8 - -8. Let n(r) = -228*r**3 - 2*r**2 + 5*r + 1. What is the thousands digit of n(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 8  (b) 1\/7  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -25.2 - -10.4. Let o = 15.007 + v. Round o to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-66)\/(-24) - 3\/4. What is t in 11 + 12*t + 7 - s - 9*t**2 - 4 = 0?\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 4, 0, -63, 3 in decreasing order.\nAnswer: 4, 3, 0, -4, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/100)\/(((-950)\/(-125))\/(-19))*-2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 339 - 126 = 61*h - 153. Let d = -18 + 38. Calculate the lowest common multiple of h and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1689 - 1688.6. Let q(u) = -u**3 + 14*u**2 - 14*u + 16. Let t be q(13). Sort -3, t, b, -1\/9 in decreasing order.\nAnswer: t, b, -1\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**2 + 5. Let u be y(4). Suppose 0 = -2*c + 7*s - 2*s - u, -s + 5 = 0. Is -4 - (c + -4) - -49 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 2*n. Let a(c) = 9*c - 66 + 34 + 32. Give o(a(b)).\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 11) to base 7.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -20*n**3 + 21*n**3 - 11*n**3 - 4*n**3 + 2 in the form v*n**3 + k*n**2 + q + f*n and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/294424 and -101\/760.\nAnswer: 1472120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -29013, -29054, -29097, -29142?\nAnswer: -29189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 1)*(-2*w + 8*w + 3*w) + (0 + 2 + 0)*(1 - 1 - 2*w) + 32*w + 497 - 497.\nAnswer: 37*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6920574*h**3*w**4 + 524632*h**3*w**2 + h*w**4 - 10*h*w**2 wrt w.\nAnswer: -166093776*h**3*w + 24*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.42 and 0.32.\nAnswer: 0.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the first derivative of -n**4\/2 - n**3 - n**2 - n + 1. Let c(v) = -v**3 + 12*v**2 + 12*v + 15. Let d be c(13). Suppose d*g + 15 = 11. What is a(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 61 = 6. What is the closest to r in 1\/5, 1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7173 is divided by 2391?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:20 PM and 1:35 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -47*b**3 + 2*b**2 + 125*b - 7. Let r(g) = 199*g**3 - 9*g**2 - 499*g + 29. Determine 4*r(h) + 17*v(h).\nAnswer: -3*h**3 - 2*h**2 + 129*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 324127*h**2*x**2 + 3*h*x**2 + 2*x - 197 wrt h.\nAnswer: 648254*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 21.17 - 21. Is 2 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/9 + (-144)\/(-81). Let h(c) = -2*c**3 + 3*c**2 - 3*c**g + 3*c + c**3 - 3*c**2 - 1. What is h(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 83868*b*i*l*q + 2*b*i*q + 6*i*l + 3*i*q - 3*l*q + 2*q - 3 wrt b.\nAnswer: 83868*i*l*q + 2*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7829, -31363, -70587, -125501, -196105, -282399, -384383?\nAnswer: -502057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -3*r. Let f(k) = -15*k - 4. Let x(q) = q + 2. Let t(s) = -f(s) - 2*x(s). Give m(t(b)).\nAnswer: -39*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yu when two letters picked without replacement from xygguru?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x + x - 4*x)*(6*x + 34*x - 63*x) + 0 + 0 - x**2.\nAnswer: 45*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.122524 rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -521*g - 1215. Let a(v) = -3*v. Determine a(z(o)).\nAnswer: 1563*o + 3645","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the second derivative of -2\/135*c**6 + 0*c**3 + 0*c**5 + 18*c + 0 + 0*c**4 - 2\/189*c**7 + 0*c**2. Factor y(s).\nAnswer: -4*s**4*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11905594 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 641855374 to the nearest integer?\nAnswer: 25335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(2\/15))\/(18*(-5)\/120).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 38 + -34.1. Let y = 18.2 + -21. Let m = l + y. What is m rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -34 + 34. Suppose n = 2*g - 5*g + 15. Does 5 divide (-2)\/(-5) - (-63)\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-10045)\/(-100) - (-4)\/(-20))*12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1264*o - 643*o - 620*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**2 - 6*l - 9. Let i be f(8). Let o(h) = 22*h + 1. Is o(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 331 + -327. Find the third derivative of 9*o**3 - o**t + 11*o**3 - 6*o**2 + 16 - 14 wrt o.\nAnswer: -24*o + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbbbbbbb. What is prob of sequence bbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 3 = 13. Let q(b) be the first derivative of -1\/2*b**2 + j - 2*b. What is the first derivative of q(m) wrt m?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 189461 + 102*z**2 - 189461 + 258*z wrt z?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-188)\/12)\/((-2)\/(-6)). Let i = -27 - j. Solve i = -0*t + t + 5*k, 4*t + 5*k = 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -24 - -4?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 11567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 43\/4 of a microgram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 23, 2\/17, 17, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 30 + -15. Let u(g) = 12*g**2 + g + 5. Let j be u(-5). Suppose j = 5*t + 5*i, 0*i - i + 240 = 4*t. What is the highest common factor of t and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4961654\/45 + 110274. Let p = a + -262\/15. Find the common denominator of 65\/9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**3 - y**2 - 288*y + 1861. Determine z(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 21174 - 13750. What are the prime factors of m?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 1 + 5*z**3 + 0*z**3 - 2 - z**3. Let b be d(1). Solve q = -b*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19, 27, 35, 43, 51?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, 0.5, 0.06, 1\/5, 4\/153, 0?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 125493920581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -5  (b) 0.88  (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1280968 and 1756924?\nAnswer: 5876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (393\/(-1310))\/((-12)\/10)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3910285 centuries to millennia.\nAnswer: 0.03910285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-1\/3))**(-41)\/((d**(-2)\/d)\/d)**(-3\/41)*(d**9*d*d**(2\/5)*d)**(-6\/13) assuming d is positive.\nAnswer: d**(64859\/7995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 - -10. Suppose 2*x - 1599 = -3*i, -b*x - i + 2811 = -412. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**3 - 2*d**2 + d + 2. Let a be z(2). Suppose -j + a - 1 = p, 2*p - 6 = 2*j. Calculate the smallest common multiple of p and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s**3 - 10*s**2 - 9*s + 1. Let y be b(-9). Suppose -4*v + 81 = 3*p, -2 = -v + y. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -207, -858, -1949, -3486, -5475, -7922?\n\"Answer: -v**3 - 214*v**2 - 2*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-49 - 132 - 305)*(2*b**4 - 5*b**4 + 2*b**4).\nAnswer: 486*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is (-120)\/(-96) + 719262\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, -3, -5, -1019, 0, 4.\nAnswer: -1019, -13, -5, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**3 + 7*h**2 + 1. Let t(v) = 1. Let s(l) = -o(l) + 3*t(l). Let q be s(-7). Solve -k - q = -2*k, 2*p - 4*k + 4 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 20\/16 + -1 - 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/(-28))\/(110\/(-77))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 150.\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**3 - 362*z**2 + 5408*z - 21120.\nAnswer: 2*(z - 165)*(z - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = p + 1. Suppose 89 = 3*q - 76. Let y = 77 - q. Calculate the remainder when y is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14989*k + 15055*k = 528 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 157221.\nAnswer: 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -5 - (7 + -7) - (-7 + -6). Let y(j) = j**2 - 5*j - 18. What is y(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (152\/8 - -5)*114\/(-304)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*x**3 + x**3 - 4*x**3 - 3*x**2 + x**3 + 3*x**2 + (0*x**2 - 2*x**2 + 3*x**2)*(4*x - 2*x + 0*x) + (4*x + 4*x - 6*x)*(-5*x**2 - 18*x**2 - 22*x**2).\nAnswer: -85*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1100 - -302. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 197 is divided by 43?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**3 + 57*p**2 - 108*p + 5. Give q(55).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 - 9. Let h(z) be the first derivative of -3 - 9*z**2 - 26*z + 19*z - 20*z - z**a. Determine y, given that h(y) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 13170802 and 92195614?\nAnswer: 92195614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (-9 - -2) + (9 - 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-30))\/((-49)\/(-98))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*f - 6 = -20*f + 2*m, -2*f = -5*m - 6. Solve -10*a - 11 = -13*a - b, 3*a - f*b = 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6180?\nAnswer: 2, 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -8*m**2 - 5*m + 1. Let o(b) = -b**2 - 3*b + 11. Let f be o(0). Let r(h) = -15*h**2 - 9*h + 1. What is f*s(n) - 6*r(n)?\nAnswer: 2*n**2 - n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 6*k**3 + 3737*k**2 - 11240*k + 68. Calculate x(3).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f + 30 + 20. What is the remainder when 14\/(-1 - 2 - (-44)\/14) is divided by f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*b**2 - 20*b**2 + 0*b**2)*(1 - 3 + 4 + 0).\nAnswer: -52*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a**4\/7 + 100367*a**3\/7 - 13164979*a**2\/7 + 26028853*a\/7 - 12964242\/7 = 0. What is a?\nAnswer: -100498, 1, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -1291*i - 1662. What is the tens digit of o(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -299\/8, 0.2, -2\/9, -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -120 - -239. Suppose 277 = 3*a + 2*w, -5*w - k + 4 = -a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 224, 333, 398, 413, 372?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 68\/(-255) - 1144\/(-240). Let h = 8 + -13\/2. Factor -n*g - h*g**2 + 6.\nAnswer: -3*(g - 1)*(g + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*u**2 - u**2 - 3*u**3 - 2 + u**3 + 2*u + 6*u**2 in the form p*u**2 + y*u + m + x*u**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5  (b) -2  (c) -4  (d) 615383\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 2292561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -2*t + 7. Let h be (13 - 5)*(2 + -1). Suppose -v + a + a + 1 = 0, -4*a = -4*v - h. Let q(w) = 2*w - 6. Determine v*r(b) - 6*q(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 120 = 4*g - 0*g, 0 = g + 2*k - 21. What is the highest common divisor of 232 and g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*h + 10*h = -5*h + 11*x - 45 - 78, 5*h = 3*x - 51 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3513 - 1839. Calculate the remainder when k is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14 * -0.0246\nAnswer: -0.3444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -40 - -44. Calculate the lowest common multiple of u and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**2\/3 - 28*m - 294.\nAnswer: -2*(m + 21)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 20 - -2 - (-30)\/(-10). Suppose 3*s - 5*h - 50 = 0, -3*s + 25 = h - j. Let p = 6 + s. Calculate the remainder when 38 is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/5, 1.9211, -16?\nAnswer: 1.9211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = 2*y + 2*s, -30*y + 3 = -33*y + 2*s for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5841 - 5838. What is the fourth biggest value in -0.2, q, 2\/3, 2\/11, 121\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w + 2*r - 5, 0*w = -w - 5*r - 28. Let h be ((-3)\/(-9))\/(w\/(-9)). Solve 3*x + h = -8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cczcccczczcccc. What is prob of sequence zc?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*l**2 - 2*l**3 + 0*l**2 + (-13 - 4*l - 4 + 18 + (2*l - 6*l + 3*l)*(4 + 2 - 4))*(0*l**2 - 6*l**2 - 4*l**2).\nAnswer: 58*l**3 - 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in one fifth of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1854 - 1894 = -20*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 1548 = 52*f - 50*f, -m + 316 = -2*f. Does 22 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -312, -563, -808, -1047, -1280, -1507?\n\"Answer: 3*g**2 - 260*g - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -66.636342212598 take away 3?\nAnswer: -69.636342212598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 3  (b) -5  (c) 1\/10  (d) -9.4  (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 518612?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -25949 divided by 2942?\nAnswer: -25949\/2942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 4:25 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/3, -0.089, 1, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 60895*z - 4079981. What is t(67)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -302092960 rounded to the nearest one hundred thousand?\nAnswer: -302100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 + (-46 - -10) - -4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 3*w = -3, 5*w + 6 + 11 = h. Solve g = -h*z + 2*g, 0 = 3*z + 5*g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -282*a - 1819. Calculate the remainder when f(-8) is divided by 90.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2989 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -5*r**3 + 2*r - 4. Let q(b) = -9*b**3 + 5*b - 9. Calculate 4*q(k) - 9*s(k).\nAnswer: 9*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/13 in -1\/8, 2, 5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*x + 4*x + x)*(x + x - 3*x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -35 and 0.1?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 5309, 5309, 5319, 5345, 5393, 5469, 5579?\n\"Answer: t**3 - t**2 - 4*t + 5313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 4*h = -12, -2*i - 4*h + 3*h + 3 = 0. Factor 3*j**3 + i*j**5 + 2*j**5 + j**5 - 6*j**4.\nAnswer: 3*j**3*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = 3*z - 3*m - 1314, 4*z = 5*m + 1750. Let j = 237 - z. Is 7\/28 + j\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.0207  (b) -3\/11  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2742*y = 258*y + 414*y + 884*y - 8596 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3654, 3640, 3614, 3576, 3526, 3464?\nAnswer: 3390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -820 + 1361. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35749127 is divided by 5129?\nAnswer: 5126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 214\/11, -3, -1\/3 in decreasing order.\nAnswer: 214\/11, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**3 - 2*b**2 - b + 4. Let d be i(-2). Let s = d + -3. Suppose -h - 5 = 4*h, -72 = -3*p - s*h. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v**3\/v)*v*v)\/v**(-22))\/(v**2\/v*v**(-13)) assuming v is positive.\nAnswer: v**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p + 0*p + p)*(3 - 13 - 16).\nAnswer: -78*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1\/27 + 31\/108. Let w = 26 + -26.3. Let z be 4\/(-6)*(-3)\/17. Put w, z, v in ascending order.\nAnswer: w, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tdttxfsvxttss. Give prob of picking 2 t and 1 v.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 8, m: 7, y: 3}. What is prob of picking 1 m and 2 y?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2033521 to the nearest integer?\nAnswer: 1426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4208576*g**5*m - 255981*g*m - g - m wrt g.\nAnswer: -84171520*g**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(108)*1)**2 + -2*sqrt(108)*-6 + 0.\nAnswer: 72*sqrt(3) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1760533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*z - 77 + 127. Solve 2*j - a = z - 4, -6 = -2*j + 2*a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(22)\/((2*sqrt(8))\/sqrt(4)) + ((2*sqrt(33) - sqrt(33))\/sqrt(3))**2 + 4*(sqrt(11) + 1).\nAnswer: 9*sqrt(11)\/2 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 25862355*j*s**3 - 32*s**3 - 757740*s wrt j.\nAnswer: 25862355*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -16748, -35086, -53424, -71762?\n\"Answer: -18338*b + 1590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -144 divided by 5?\nAnswer: -144\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 24614, 49226, 73838, 98450, 123062?\n\"Answer: 24612*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the first derivative of 15 + 1\/8*s**4 - 1\/3*s**3 - 12*s - 5*s**2. Factor m(j).\nAnswer: (j - 6)*(j + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 91492 divided by -514\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ip when two letters picked without replacement from {j: 3, i: 1, r: 2, n: 1, x: 5, p: 1}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -37 in 2\/49, 1\/4, -3.8, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 9568893, 19137784, 28706675?\n\"Answer: 9568891*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-1)*q)\/q)\/q*q*q*q**6*(q*q\/((q**(5\/2)*q)\/q))\/q**(1\/3)*q*q*(q*q**(1\/9)*q)\/q*q\/q**0*(q**(-2\/7))**(-1\/14) assuming q is positive.\nAnswer: q**(8201\/882)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*h - 53*h + w + 4 = 0, -4*w - 13 = -5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -58 - -58. Let m be -1 - (4 - 3) - (s - 65). Let d = 63 - m. Solve a + a = d for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 761731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8*m*n**2*s**3 + m*n**2*s**2 - 3*m*n**2 + m*n*s**3 - 2*m*s**3 + 2*m*s**2 wrt s?\nAnswer: -48*m*n**2 + 6*m*n - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1*1*-2)\/(130 - 132)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - -1. Let y = -304 - -303.2. Let f = p + y. Which is the closest to f?  (a) -3  (b) -2  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 5*n**3 + 3*n**2 + 3*n - 2. Let i be t(3). Let r(p) = i + 4*p - 5*p + 0*p. Is r(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*j + 0*j - 5*j)*(15*j + 6*j - 5*j)*(12 - 15 + 38)*(4*j**2 + 19*j**2 - 11*j**2) in the form h*j**2 + o*j**3 + l + a*j**4 + i*j and give a.\nAnswer: -6720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 95 = x, 2*m = m + 3*x + 19. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 14999*b - 3. Let n be c(-3). What is n rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 101 - 5 = -4*o. Let d be (9\/18)\/((-2)\/o). What is the greatest common factor of d and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -47 or -62?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 + 6. Suppose -2*p = 25*v - 21*v + 26, 2*p = -5*v - 31. Let u be 6\/2*(-1)\/(-12). Sort u, p, -7, c in increasing order.\nAnswer: -7, p, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 5*f**3\/7 - 7017*f**2\/7 - 602*f + 2808\/7 = 0.\nAnswer: -1, 2\/5, 1404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-11)\/((-99)\/(-81)) + 1042. Let y = s + -1008. Which is bigger: y or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(24)*-1)\/sqrt(3))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 109951133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 16*w - 14*w. Suppose -2*n + a + a = -286, n + w*a - 152 = 0. Suppose -n = 10*f - 1176. What are the prime factors of f?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21a (base 15) in base 6?\nAnswer: -2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -136 - 136 - 3*w + 275. Calculate o(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 2*s**3 + 2*s**2 + 2*s - 3. Let z be r(1). Solve z*v = 20 - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:42 AM and 7:25 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:25 AM and 10:38 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1551 + c + 3102 - 1549 + 2*c**3 + 41*c**4 - 3*c**3 to the form l*c**3 + r + p*c**2 + y*c**4 + i*c and give y.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 188 = 96*o + 334 + 1294 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 4*w + 38. Suppose 0*d = -5*d - 40. Let o be i(d). Let q(y) = y**2 + 6*y**2 - y**3 + o - y**2. Determine q(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -2*f + 3, -3*s + f + 29 = 2*f. What is the remainder when (-1)\/(-2*3\/180) is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**3 - 6*i**2 + 8*i + 5. Let j be y(6). Suppose -j = -5*d + 4*d. Let o = -13 + d. What is the greatest common divisor of o and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 - -3. Suppose 0 = 4*z - 11 - 1, s = 4*t - 4*z - 24. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -480705*b**2 - 5. Let r(v) = -2*v**2. Determine y(r(t)).\nAnswer: -1922820*t**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1 and -114.\nAnswer: 11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*l - 13*l + 72*l + 570 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*o = 3*o + 169 - 610 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 727165*h + 298669?\nAnswer: 727165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -40287571 less than or equal to -40287563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 5*b**2 - 3*b + 1. Let o be -5 + 10\/4 - 3\/2. Let a be 1 + o*3\/(-12). Determine v(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 33 - 33.2. Which is the third biggest value?  (a) -0.1  (b) x  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -100720500 rounded to the nearest 1000000?\nAnswer: -101000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -199 divided by -4?\nAnswer: 199\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -59654a1 (base 11) to base 13.\nAnswer: -2202a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (2\/6)\/(474\/8295*(-10)\/12)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the first derivative of -10*f**7\/7 + 35*f**6\/6 - 11*f**3 - 13*f + 1585. Find the third derivative of y(c) wrt c.\nAnswer: -1200*c**3 + 2100*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1620) + sqrt(1620) + sqrt(1620) + (sqrt(1620) - (sqrt(1620) + -1)))*-4 + sqrt(1620) + sqrt(1620) + 1*sqrt(1620)*3)*-1)**2.\nAnswer: 1008*sqrt(5) + 79396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 46596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**3 + 8*s**2 + 8*s + 4. Let v be n(9). List the prime factors of (-164)\/v*((-80)\/4)\/(-4).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -81\/18433456 and -101\/34562730.\nAnswer: 276501840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**3 + 2*q**2 - 2*q + 3. Suppose 4 - 2 = f. Let k be z(f). What is the units digit of (-1)\/(-1)*k - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the first derivative of 45*k**2\/2 - 20*k - 7. Let f be i(16). Round f to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuufuufuuuufufuuufuu. Give prob of picking 4 f.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(((-819)\/(-2))\/21).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 51981592 divided by 26\nAnswer: 1999292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -66 - -36. Let i = l + 30. Solve i*w - 20 = -5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 5*c**2 + 8*c - 11. Determine s(3).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from jjjjjjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 776807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -d**2 + 45*d**2 - 43*d**2 + d - 106*d**2 - 194*d**2.\nAnswer: -299*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 131\/8750 and -7\/45.\nAnswer: 78750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {n: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 - -3. What are the prime factors of (-2 - 1528\/16)*k\/5?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -40010 (base 5) in base 2?\nAnswer: -100111001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -20*a + 33. What are the prime factors of x(-16)?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 336*o = -280*o + 1057*o - 359*o + 10332 for o.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*n - 3*x, -2*n + x + 9 + 13 = 0. Solve 34 = 10*m + n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -1\/10, 1\/11, -1?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b - 16. Let z be l(-6). Is 116 - 8*(-5)\/z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5*((-1845)\/(-164))\/((-100)\/(-32))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 15*x. Let m(c) = -3*c - 6. Let l(q) = 3*q + 9. Let k be 8\/(-6)*(-8)\/(64\/(-12)). Let w(b) = k*l(b) - 3*m(b). Determine w(u(y)).\nAnswer: 45*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -5\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -19  (b) 3  (c) 0.063  (d) -1\/45  (e) 1\/4  (f) -80\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -4 + (-45)\/(-10) + (-279)\/(-6). Suppose 5*b - o = 4*j - j, 39 = 4*b - j. What is the greatest common factor of b and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -615 (base 9) in base 4?\nAnswer: -13310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 7*i - 8 = 0. Differentiate 12*c**2 - 6 + i - 14*c**2 wrt c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3036 minus 0.01?\nAnswer: -0.3136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6.969 + 0.031. Sort 7\/4, p, 0.4, 4 in increasing order.\nAnswer: 0.4, 7\/4, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -131*w + 3. Let f(z) = -4*z**2. Calculate f(y(c)).\nAnswer: -68644*c**2 + 3144*c - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 5*v + 15 = 0, 5*v + 5 = b + 20. Let d be (272\/(-51))\/(1\/3). Let q be 2\/(-4)*(d - -12). Solve b = q*w + 5*a + 31, 2*a + 5 = 2*w + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 5*z**2 - 3*z + 6. Let a be 2\/3 + (68\/6 - 5). Let m be j(a). Let q be (-2 + m)\/(60\/16 + -3). What is the greatest common divisor of q and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 162124950 a multiple of 355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 - 1509208.\nAnswer: -1509207.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 - -2540.\nAnswer: 2557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 1 - 4. Suppose -v = -2*a - 4*v - 66, -5*a - c*v = 160. Is 0\/1 - (a - -2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -241*i + 137*i = -1454*i - 47604 - 80646 for i.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/235 and 79\/10011.\nAnswer: 50055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7198 - -7197. Sort f, -210, 4, -5.\nAnswer: -210, -5, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*((sqrt(325) + 0)*3 + -2 + sqrt(325)*-2))**2.\nAnswer: -720*sqrt(13) + 11844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51746 is divided by 6465.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3472 and 57412?\nAnswer: 1607536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**3 - 19*i**2 + 91*i + 17. What are the prime factors of h(-23)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 + 20*j**2 + 11*j + 234. What is s(21)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 73*u - 80*u. Suppose 3*n + 3*d - 86 = 22, -4*d = -20. Sort n, -3, u in decreasing order.\nAnswer: n, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -35, 14\/3, 0.69, 169, 2 in ascending order.\nAnswer: -35, 0.69, 2, 14\/3, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is (-41802354)\/(-255) - (1\/5)\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24 - -12 - -11) + -3 + (-5 - -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5690639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.22024258 rounded to 3 dps?\nAnswer: -2.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -2*u - 4. Let d be l(-3). Which is the nearest to 1\/3?  (a) 0.5  (b) d  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -58 + 172\/3. Let o = -59 + 53. What is the nearest to g in o, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:39 PM and 1:13 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 63769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 37518 and 439400?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10 - -23. Let m = -17 + i. Which is the second biggest value?  (a) m  (b) 3  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 times 0.0311\nAnswer: -0.1244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 3*f = 4, 5*t - 5*f = -4*f + 5. Let j(d) = 6*d**2 - 6*d**2 + d**2 + t. Let a(c) = -c**2 + 6*c + 2. Let n(i) = a(i) + 2*j(i). What is n(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.488?  (a) 3\/2  (b) 3  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:56 AM and 3:42 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes after 11:42 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 0*i = 0. Let c(z) be the first derivative of 1\/2*z**2 + i*z - 1\/2*z**6 + 4\/5*z**5 + 1\/2*z**4 + 2 - 4\/3*z**3. Suppose c(x) = 0. What is x?\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**2 + 5*k. Let j(x) = -10*x**2 - 15*x - 6. Let r(y) = 19*y**2 + 31*y + 11. Let i(n) = -11*j(n) - 6*r(n). Calculate -2*i(u) - 9*z(u).\nAnswer: -u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8 - 10.6. Let a = 18.5749 + c. Let p = 0.019 + a. Round p to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2487296 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -35*j + 19*j. Let k(b) = b**2 + 5*b + 2. Let x be k(-5). Let r be 2*1\/2*x. Solve 4*h - 12 = j*q - 42, -r*h - 30 = -4*q for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -714835\/7 or -102120?\nAnswer: -102120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2747253 divided by 4.\nAnswer: -2747253\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 4746, 4764, 4792, 4830, 4878?\n\"Answer: 5*j**2 + 3*j + 4738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 88512503.\nAnswer: 88512503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p + 4. Let k = 124 + -120. Let i(t) = 1. Let q(g) = k*i(g) - j(g). Let h(u) = -62*u. Calculate q(h(z)).\nAnswer: 62*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -33, 3, 2, -115, -0.3, 0 in ascending order.\nAnswer: -115, -33, -0.3, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 13639922 divided by 12?\nAnswer: 6819961\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4114*d - 4118*d - 1 = 5*k, 0 = k + 3*d + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*w + 69 - 21 = 0. Let q = 13 + w. Let f be q + -10 + (-2)\/((-18)\/(-1)). Is f >= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**3 + r**2 + 4*r. Suppose 12 = 31*m - 27*m. Give v(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 724 = 4*g - 3*z, 3*g + g - 2*z - 728 = 0. Let b = g - 184. Solve b = -22*x + 20*x - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -20 + 26. Let m = 14 - x. Let v = -7 + m. What is the biggest value in v, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2161 a factor of 3929863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z - 9*z + 15. Suppose t = z*t - 12. Suppose j + t = 3*j. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.351 + -359.751?\nAnswer: -355.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**2. Let s(h) be the second derivative of 8*h**3\/3 + 2*h**2 - 88*h + 1. What is x(s(b))?\nAnswer: -256*b**2 - 128*b - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 27 and 101547.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m - 6. Let v be b(-9). Suppose 5*n - 256 = -v*l, n + 0*n - 5*l = 68. List the prime factors of n.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.3 + 0.39. Put -5, 0.5, n in decreasing order.\nAnswer: 0.5, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -205428100 rounded to the nearest 1000000?\nAnswer: -205000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b - 203 + 23. Let i = 11 + -8. Suppose a = -3*a - 3*j + b, -i*j - 6 = -3*a. Let w(m) = -m**3 + 6*m**2 + m. Determine w(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -49*q + 25*q + 2952. Calculate the remainder when q is divided by 29.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 23292*d**2 - 19232*d wrt d.\nAnswer: 46584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 99 and 320463.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 3*f + 2. Let m(a) be the first derivative of 111*a**2 - 114*a + 19. Let r(b) = m(b) - 9*n(b). Differentiate r(g) with respect to g.\nAnswer: 195","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -2*m + 2. Let t be w(-6). Suppose -v = t - 433. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 - ((-27 - -51) + 21)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1566\/11 + 39223\/264. Find the common denominator of 29\/8 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4217.5 + 4217. Which is the smallest value?  (a) -7.3  (b) n  (c) 4\/3  (d) 5  (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes before 10:58 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*d - 18*d = 30. Solve 0 = -3*a - d + 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 153634 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 587248 <= 587287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/((-6)\/(-27)*84))\/((-960)\/3840).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 44 + -62. Let r = 18.0000088 + f. What is r rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.28 and -0.09.\nAnswer: -0.0252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1317*m + 8592 - 9127 - 151*m wrt m?\nAnswer: -1468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -2*j + 4. Suppose q - 4 = 0, 3*x + 5*q = -0*x + 26. Let l be (-4)\/(-16) + x\/(-8). Let v be y(l). Solve 6*o + 4 = v*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 17 = -2. Let s = i + 5. Let g(m) = -2*m**s - 9 + 9. Let f(t) = -3*t. Calculate f(g(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 - -12. Solve y = -h + 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 24 + 22. Let c = -78 + b. Let r = 22 - c. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46874.99 millilitres in litres?\nAnswer: 46.87499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*2*sqrt(85))\/((1*sqrt(50))\/sqrt(10)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 13\/(-3)*12\/(-4). Suppose 0 = 3*a - 0*a - b - 23, a - 3*b = w. Let x = 8 - a. Solve -d - g = -x, g + 4*g = -5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes before 4:13 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6768*w + 6388*w + 6390*w - 25947*w + 6389*w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -64 - 331*z**4 - 33*z**2 - 112*z + 16*z**3 + 330*z**4 - 2*z**3 = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 + 0. Suppose -z - 3*z + 46 = -j*u, -4*u - 4*z - 24 = 0. Let g = u - -13. What is the highest common factor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 5*i - 115, -21*o + 18*o + 4 = i. Solve 0 = 8*t - i + 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.39 + -956073?\nAnswer: -956072.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.007306 times -6\nAnswer: 0.043836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = f - 10030, -2*f + 3*y = -15745 - 4301. What is the thousands digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**2 + 19. Let y(c) = -3*c**2 - c + 57. Determine 7*h(a) - 2*y(a).\nAnswer: -a**2 + 2*a + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 22*s - 61. Let z be k(3). Suppose -y + 5*y + z*h = 10, 0 = -2*y - h + 2. Sort 0.2, y, -13\/4 in ascending order.\nAnswer: -13\/4, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 6194, 6210, 6242, 6296, 6378, 6494, 6650, 6852?\n\"Answer: d**3 + 2*d**2 + 3*d + 6188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 23101, 46200, 69299, 92398, 115497, 138596?\nAnswer: 161695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 38*f**5 - 23*f + 23*f**5 - 2*f**2 - 34*f**5 + f**6 - 54*f wrt f.\nAnswer: 120*f**3 + 1620*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 1 g, 1 v, and 1 y when four letters picked without replacement from {g: 1, l: 2, n: 1, y: 12, v: 1}.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1*(1 - (1 - -16)*-1). Solve -2*j - 45*g = -50*g + c, -2*g + 12 = -2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the first derivative of 9\/2*j**2 + 10*j - 1\/3*j**3 - 5. What is the remainder when 18 is divided by l(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -21*p**4 - 41*p**3 - 120*p**2 + 43827*p - 17?\nAnswer: -252*p**2 - 246*p - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f - 5. Let t be h(8). Suppose -m + 4*a = -11 - 5, 0 = -4*m + t*a + 12. Let s be 0\/(-2 - m\/(-2)). Solve s = -2*v - 9 + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1.332 and -0.3.\nAnswer: 1.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -48.98154*92\nAnswer: -4506.30168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (-1 - 13) - (8 - (87 + (3 - 202)))?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 204*c**2 - 36. Let x(v) = -29*v**2 + 5. Give -5*p(y) - 36*x(y).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 681*j - 118 + 40 = 759*j. Let k = -0.13 + 11.13. What is the nearest to j in k, -0.1, -0.5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from annnjane. Give prob of picking 1 j and 2 a.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2 - 1)\/((-1)\/(-15)). Suppose g + w = 4*g, 0 = 4*y - 4*g - 48. Let r = 3 + y. What is the least common multiple of r and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -572*u + 541*u + 54859 = -36777. What is the remainder when u is divided by 80?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k - 2*k - k)*(-2*k - 14 + 14) - 4*k + k**2 + 4*k + (1 - k - 1)*(-16*k + 67*k + 95*k).\nAnswer: -141*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -4*z**3 - 225*z**2 - 115*z - 4027. Give o(-56).\nAnswer: -723","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 + -2. Let a = 0 - 0. Suppose -4*i + 4 = -2*g, 3*i + 3*g - 7*g = 3. Solve -p + d - i = a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**(-1\/6)\/d**(2\/5))\/(d*(d\/((d\/d**(-2\/19)*d)\/d))\/d*d*d**(-1\/4)\/d*d))**(4\/27))**(-1\/8) assuming d is positive.\nAnswer: d**(1381\/61560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -115*r = 356 - 241 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 27217943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, 2, 0 in increasing order.\nAnswer: -3, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*j - 12*j - 11*j.\nAnswer: -29*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.21 times -1.6?\nAnswer: -0.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.0738 - -0.0738. Let y = 4.4 + -10.8. Let o = 6 + y. Sort c, -0.5, o in increasing order.\nAnswer: -0.5, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14625.921 - 14534. Let m = 92 - j. Let i = 0.08 - m. Round i to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -219*v + 3682. Determine d(18).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -376*r**3 - 62*r**3 - 220*r**3.\nAnswer: -658*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1076810.04 and 3?\nAnswer: 1076807.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-117)\/(-3432))\/(14\/77)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 268 = -3*v + 3*y, -2*y = 2. Suppose -50*h - 27 = -v*h. Suppose -6*t = -h*t + 2577. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -115*o - 2452 = -2682. What is the nearest to 2 in -1\/5, o, -2\/11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -5*p. Suppose 5*r - 4*u + 5*u = 7, -3 = u. Determine l(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 62687 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - 231 + 171 = 0. Which is the nearest to 2?  (a) -1  (b) z  (c) 1\/2  (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52532 = 4*b + 4*c, 88*c = 3*b + 85*c - 39381. Is b a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 53.3177\nAnswer: 55.3177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -66, -9, -1, -3594 in descending order.\nAnswer: -1, -9, -66, -3594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69*c - 95*c + 37*c = -1524 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -902597 or 10.5?\nAnswer: -902597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13414 (base 9) to base 7.\nAnswer: -35326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 5*v**2 - 2*v - 3. Let h be (1\/(-3))\/(4\/24). Let l be -2 - (h + 2 + 1). List the prime factors of p(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27243183 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 18287 - 18240. Solve 4*i = -8, -42*g - i = -o*g + 27 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 142*y - 9298 = -5038 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/28)\/(27\/189)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q\/(q*q**(5\/6)\/q)*q**(1\/2) assuming q is positive.\nAnswer: q**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -72 - -76. Let j be ((-15)\/(-3) - 1)\/(d - 6). Let f = 220 - 225. Sort -4, j, f in descending order.\nAnswer: j, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 316240?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 299.7112nm?\nAnswer: 0.0000002997112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 574516, 574438, 574306, 574120, 573880, 573586, 573238?\nAnswer: 572836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 3*s + 45. Let t be a(-14). What is the tens digit of ((-8)\/(-24) - 13\/t) + 226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -4*x**2. Let d(o) = -47403*o**2. Calculate i(d(j)).\nAnswer: -8988177636*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6\/26)\/(111\/(-370)). Which is the smallest value?  (a) 0  (b) 3\/4  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -23*s**3 + 3*s**2 - 54*s - 2 wrt s.\nAnswer: -138*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3625678906 - 0.3?\nAnswer: -3625678906.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**3\/5 - 54092*c**2\/5 - 365797144*c\/5 - 731377936\/5.\nAnswer: -2*(c + 2)*(c + 13522)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -31, -28, -35, -58, -103?\n\"Answer: -s**3 + s**2 + 7*s - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 88080170 and 2120?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/3804 and 137\/72.\nAnswer: 22824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wz when two letters picked without replacement from zfzwz?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -9 - 847\nAnswer: -856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m. Let o be u(-3). Suppose 5*s = o*x - 19, 3*s - 5*s - 8 = -x. What is the tens digit of 1 + x + 33\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (1 - -5) + (12 - 10) + -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26821?\nAnswer: 26821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 10545 (base 6) in base 12?\nAnswer: a55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -4*g**2. Let i(y) = 15129259*y. Determine i(t(j)).\nAnswer: -60517036*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -221*x**2 - 6 - 295*x**2 + 506*x**2 - x - 10*x**3 to the form l*x**2 + q*x + f*x**3 + w and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(-6)\/u)\/(u*(u*u**(-2\/19))\/u)*u**(2\/7)*u\/(u\/(u\/(u*(u\/((u\/u**(-33))\/u*u))\/u))) assuming u is positive.\nAnswer: u**(3643\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 33405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 17*x + 54. Suppose 3*m + 5*j = -0*j + 58, -58 = -4*m + 3*j. List the prime factors of l(m).\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6\/(-15))\/((-42)\/105). Which is the nearest to 0.06?  (a) -0.5  (b) 9  (c) y  (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 5*n - 572 = 0, -p - 2*n + n + 564 = 0. Does 21 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the first derivative of -2*y**5\/75 - 77*y**4\/5 - 105794*y**3\/45 + 35728*y**2\/5 - 107648*y\/15 + 639. Factor s(w).\nAnswer: -2*(w - 1)**2*(w + 232)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -2*v - 4. Let i(f) = -1. Let c = 12 - 9. Calculate c*i(z) - u(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/(14\/(-3)))\/((-18)\/(-15))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 150 by 6.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 3*z - 9 = 0, 5*l - 6*z = -2*z + 60. Suppose -1596 = -l*u - 340. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1330567096 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3\/28  (b) 5  (c) 4  (d) 17  (e) -9\/4  (f) -1  (g) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 62325 and 885.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 - (-42)\/(-12)*-148 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8546860 divided by 5956.\nAnswer: 1435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lmslrryzrzlzlrs. What is prob of picking 2 s and 1 r?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -184 = -88*d + 65*d. Suppose 5*o + 5*w - 1 - 14 = 0, -2*w = 0. Suppose -o = -2*s + 3. Calculate the remainder when d is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 318671 (base 9) to base 11.\nAnswer: 11a8aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*f + 2 - 2)*(-478*f**2 + 786 - 786).\nAnswer: -1912*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 392.671 + -393. Let t = v - 0.071. Let l be -7 - (-2 - 0\/1). Put l, t, 0.06 in increasing order.\nAnswer: l, t, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 - -6)*(-12 - 994\/(-70)). Solve y*i = 16*i + 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 29 and 118743487.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.022 + -4.978. Which is the second biggest value?  (a) -0.11  (b) r  (c) -0.037\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1774849 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 218249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (((-6*sqrt(34)\/sqrt(2) - (sqrt(153) - (sqrt(153) + 2*sqrt(153)))\/sqrt(9)) + (sqrt(2057) - (sqrt(2057) + sqrt(2057) + -2*sqrt(2057) + -2)))*1)**2.\nAnswer: 28*sqrt(17) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 1 r when three letters picked without replacement from frrppfrrrrrr.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -270056 - 1154?\nAnswer: -271210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 129 is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1674\/(-7560) - (-30)\/200\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 less than or equal to -24.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes before 5:39 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5, -8, -9, -8, -5, 0, 7?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 116 a factor of 5684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 9551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/4  (b) 6  (c) -158  (d) -0.3  (e) -17  (f) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 596.3556 millimeters to micrometers.\nAnswer: 596355.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 4 - 2)*(-1 - 3 + 3) + 2 - 7 - 2 - 1 - 3 + 0)*(0*m + 6*m + 0*m).\nAnswer: -72*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 600 and 155208?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 239*n**6 + 6*n**4 - 577*n**6 + 2568*n**2 - 2*n**4 wrt n.\nAnswer: -40560*n**3 + 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w - 4. Let s be 2\/4*(-1 + 1). Let o be g(s). Let j(a) = a**2 + 4*a + 4. Let u(i) = 3*i**2 + 12*i + 11. Let p(f) = 11*j(f) - 4*u(f). Give p(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 959 and 995797789?\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/(-18) + (-10)\/(-6). Is l at least as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(76) + sqrt(19) - (4*(sqrt(19)*3 + sqrt(19)))**2.\nAnswer: -4869 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1803756175 to the power of 1\/2, to the nearest integer?\nAnswer: 42471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iqxwxgiwm. Give prob of sequence wxwm.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 191 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -53.1 + 26.8. Round m to 0 decimal places.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6213, 5630, 4753, 3582?\nAnswer: 2117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1477 = -5*q + 4*j, 2*q + 10*j = 13*j + 588. Let z(g) = 25*g + 305 + q - 604. Let c(t) = -13*t + 1. What is -7*c(d) - 4*z(d)?\nAnswer: -9*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -8\/28413 and 151\/39736872.\nAnswer: 437105592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/114 and -63\/2185.\nAnswer: 13110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 + 1151530431?\nAnswer: 1151530425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 75 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 49.\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 m when three letters picked without replacement from {m: 2, p: 2, l: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p - 2*v + 38, 81 = 2*p - 0*p + 5*v. Calculate the remainder when p is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and -2813606.\nAnswer: -1125442.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -6, 242, 907 in decreasing order.\nAnswer: 907, 242, 5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*h + 13 - 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 353002\nAnswer: -2\/176501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 195480, 390950, 586420, 781890, 977360, 1172830?\n\"Answer: 195470*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-357)\/(-952))\/((9\/2)\/(-3))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 0*r = -12. Suppose -5*p = 2*w - 1787376 + 6537382, w = -r. Round p to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 844, 849, 854?\nAnswer: 859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (4 - (-2 - -4)) + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1573723109?\nAnswer: 7, 37, 163, 37277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 15 = 3*r. Suppose -5*g + 2*m + 86 = -0*m, 0 = -2*m + 4. Suppose -g*t - 12 = -21*t. Solve -r*p + 0*w - 11 = -w, -7 = 5*p + t*w for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from actttttactatatalcla. Give prob of picking 1 c and 1 a.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*f - 2001 = -203*f - 7167 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1717175 is divided by 6554?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 1 - 2 - 7*s + 0. Let v = 12 + -7. Let b(p) = 6*p + 1. Let w(q) = v*b(q) + 4*i(q). Give w(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 799206.9 tonnes?\nAnswer: 799206900000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*o - 1264 + 3064 = 0. What is o rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes after 6:26 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**2 + 5*v + 6. Let t be u(-5). Suppose -5*m = -4*m - t. Which is smaller: 5 or m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/10)\/((2\/(-40))\/(177\/236)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that 18*w**3 - 15*w**3 - 680*w - 9*w**3 + 124*w**2 + 400 = 0.\nAnswer: 2\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r = 2*g - 14, 0 = 5*g - 166*r + 169*r - 29 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*g + 7 - 7 + 9*g.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -d**3 - 1291*d**2 + 3832?\nAnswer: -3*d**2 - 2582*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 + -100100010?\nAnswer: -100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a + 137 + 225. Let i = 810 + a. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (-1 - 1) - -7 - ((7 - -26) + -7).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2190548 and 200.\nAnswer: 109527400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*(-8)\/(-32)*4\/3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 9196, 11396, 13598, 15802?\n\"Answer: o**2 + 2197*o + 6998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 153107 is divided by 2639?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2863\/18 - -1520\/9. Suppose 21 = z + 66. Find the common denominator of l and z\/(-4) + (-2)\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*m**3 - 28*m + 48*m + 13*m**2 - 15*m**2 + 5*m to the form h*m**2 + o*m**3 + k*m + v and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -2*j + 2. Let q(d) = 1 - 7 + 8 - 9 + 8*d. Determine 2*q(x) + 9*z(x).\nAnswer: -2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3388 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(513)\/sqrt(3))**2 - -4*(2*sqrt(114))\/sqrt(6).\nAnswer: 8*sqrt(19) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -406\/3 + 144. Find the common denominator of -55\/4 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4 - (28\/6)\/(-1))*36. What is the third derivative of u*i**6 - 79*i**6 - 23*i**2 + 34*i**6 wrt i?\nAnswer: -2520*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 143130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 122 + -35?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -22.69 - 0.31. Let f = 23.14 + n. Round f to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*v - 2*v**2 + 2*v**4 - 3 - 4*v + 7*v + 12 - 3*v in the form d + c*v + f*v**3 + k*v**2 + o*v**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 14173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 minus 0.223471?\nAnswer: -0.323471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*h - 3*l, 6*h - 9 = 3*h + 4*l. Suppose -h = -5*a + 7. Let r(p) = 3*p + 1 - a*p - 1 - 1. What is r(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-38)\/(-8) - 2\/(-8). Let n(b) = 5*b**2 - 5*b + 5. Suppose p = 2*p. Let z(m) = p + 3*m**2 + 2*m - 2 + 5 - 5*m. What is j*n(q) - 8*z(q)?\nAnswer: q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 76 + 26 = 0. Solve c = 3*g - g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (180\/18)\/(-3 + 8). Solve 3*w = -5*u - 31, -k*w - 12*u + 11*u = 9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (-11 + (12 - 8)) - (-1 + 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -2002225*f**5 - 168175580*f**4 - 3693154261*f**3 - 6710596394*f**2 + 38028320*f - 53792 = 0.\nAnswer: -41, -2, 4\/1415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 119019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**3 + 3*q**2 + 4*q + 5. Let c be h(4). Suppose r + 174 = -c*g, -150 = r - 5*g + 2*g. Is ((-2)\/(-6))\/((-1)\/r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1098174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -2*f - 3. Let t(u) = -u**2 + 4*u - 1. Let v be t(3). Suppose -v*d + 6*d + 28 = 0. Is n(d) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5.682 - -0.165107\nAnswer: -5.516893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 10464922 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 3*l**2 - 21*l - 17. Suppose -7*p = 121 - 9. Is s(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (5 - 1) + (-2 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9788 is divided by 9662?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111100000011001101 - 101110111?\nAnswer: 111011111101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:28 AM and 3:35 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 651 and 210?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 1.1, 59, 15?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -5*(-1 + -68) - (609\/(-21) - -26). Calculate the greatest common divisor of 435 and v.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11546830.\nAnswer: 2, 5, 41, 28163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -3*b**3 + b**2 - b + 1. Let a(r) = r**2 + r - 2. Let p be a(-3). Suppose -p*d = -2*d + 2. Let w be (-1)\/2*(d + -1). Give c(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 5*a - 30 = 0, 3*h - 3*a = -4*a - 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11250759943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hdxpxxxxxdhidxpxhx?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 2*w**3 - 16*w**2 + 65*w - 24. What is the tens digit of p(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6682 is divided by 44?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 2*v**2 - 23*v - 4. Let l(c) = c**2 - 15*c - 3. Let o(s) = 5*d(s) - 8*l(s). Let f(q) = -q**2 + q + 1. Calculate 4*f(y) - o(y).\nAnswer: -6*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(5\/4)\/c**(3\/13))**(1\/52))**(-5\/3) assuming c is positive.\nAnswer: c**(-265\/8112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/7, -3\/5, 75\/13, 2\/15 in ascending order.\nAnswer: -3\/5, 2\/15, 4\/7, 75\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 4390977 divided by 151413\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3857773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 31136566 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**3 - 3*v**2 - 12*v + 85. Let c be o(4). Solve -c*m + 2*u = -51*m, 3*m = -u + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38306 rounded to the nearest one hundred?\nAnswer: 38300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 - -4. Suppose -q = -n - 5*i, -5*i - 16 = -1. Solve 15 = u - 2*l, -u + 0*l - 5*l = n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z**(-2\/5)*z)\/z)**(-3\/26)*((z*z**(-1))\/z)**(-15))**49 assuming z is positive.\nAnswer: z**(95109\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -151\/5454 and 74\/59691.\nAnswer: 1074438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rxr when three letters picked without replacement from {r: 4, x: 15}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*s - 2*f + 6, 2*f + 2 = -s + 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 229793448 and 1653.\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12322489 and 6255.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f*f\/(f*f**(1\/8)*f*f*f)*f**8)**(-20) assuming f is positive.\nAnswer: f**(-275\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 362621 - -51?\nAnswer: 362672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*l - 3*l + 2*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are -3230919 and -3230919 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-2)\/4)\/(2\/(-96)). Suppose 11 = d*v - 85. Solve 4*l - 2*i - 30 = 0, 0*i + 20 = -v*i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-6*(3*(sqrt(153) - (-1 + (1*sqrt(153) - sqrt(153)))) + -5))**2*6.\nAnswer: -7776*sqrt(17) + 298296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2 and 62292.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 160*m = 171*m - 66. Solve -m = 82*f - 79*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h - 18 = 3*s - h, -h - 2*h + 1108 + 503 = -405*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11 - -18. Let w be (2\/6)\/((-2)\/(-42)). Suppose w = 5*x - 8. Solve 4*u + x - k = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -47 + 51. Let k(l) = l**3 - 2*l**2 - 10*l + 8. Let y be k(m). Solve -3*n + n + 6 = y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -399*u = -3*g + 2391, -119*g = 5*u - 117*g + 32 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 401751.\nAnswer: 3, 7, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - 0 - (-15 - (-8 + 4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 130655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 2 c when three letters picked without replacement from vsccclbvvbqqvl.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 259*w**4 - 788*w?\nAnswer: 3108*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*u**2 + 570*u**2 + 423*u**2 + 221*u**2 + 616*u**2 to the form j*u**2 + x*u + b and give j.\nAnswer: 1845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -986*z**3 + 493*z**3 + 3 + 493*z**3 - 1559*z**5 + 2 + 29*z wrt z.\nAnswer: -31180*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zjs when three letters picked without replacement from ttsxsdtjtjtdjzjtz.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve s - 21 + 24 = 4*a, -4*a - 17 = -5*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-2\/33)\/((d**(-18)\/d*d)\/d)*d**(-2\/35)*(d*d*d**(1\/3)*d)\/d*d assuming d is positive.\nAnswer: d**(8553\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -958*k**2 - 2*k + 0*k + 763*k**2 + 2*k + 101*k**3 wrt k?\nAnswer: 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1500)*4 - sqrt(60))\/(sqrt(972)*-1 + sqrt(12) - sqrt(12)).\nAnswer: -19*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -846*j + 0 + 7*j**2 + 880*j - 4. What is the hundreds digit of z(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63507*h + 63503*h = 28, 4*h = 4*c - c - 28 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 63*a. Let r(x) = 0*x + x - 3*x - x. Determine r(h(t)).\nAnswer: -189*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 2*a**2 - 21*a + 14. Let f be v(10). Solve 5 = -f*r - 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 + 7. Calculate the least common multiple of q and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 3*s**2 + 25*s - 12 + 37 - 18. Let i be u(-9). Let g be (-4)\/(-1) - (4 - 5). What is the greatest common factor of g and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28322*i**3 - 193458300*i**2 + 516820914*i - 345237336 = 0.\nAnswer: 159\/119, 6828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/((-22)\/4) - (-101980)\/55. Let j = 0 + 2. Suppose 0 = -j*k - 7*k + m. Does 35 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 217981646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2538 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 999.6363 rounded to 0 dps?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-192)\/(-18) + -10)\/(2\/(-24)). Let p(j) = -j**3 - 9*j**2 - 10*j - 10. Determine p(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 632c41 (base 15) to base 4\nAnswer: 101333301010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -90?  (a) -0.4  (b) 0  (c) -1  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, j: 1, e: 2, f: 1}. Give prob of sequence mj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -25*o**3 + 34*o**2 - 3*o. Let r(n) = -76*n**3 + 49 - 49 + 101*n**2 - 8*n. Let u(q) = 8*g(q) - 3*r(q). What is the third derivative of u(t) wrt t?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.3 - 15.3. Let y = d + 11. Let o = -0.02 + 5.02. Which is the third biggest value?  (a) o  (b) -0.4  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes before 3:29 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that 4*o**4\/9 + 1700*o**3\/9 - 58660*o**2\/9 - 962660*o\/9 + 339872\/3 = 0.\nAnswer: -456, -13, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 73*l**2 - 17432*l - 3503. Calculate v(239).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/(-3 + (-27)\/(-12)). Suppose 0 = 4*d + 4*g - z, 4*g - 11 = -2*d + 3. Let q(p) = -p - 4. Let v be q(d). Sort v, 3, -2.\nAnswer: -2, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {b: 7, n: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/4, -3, 3\/5, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6944493 and 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*k**2 - 1135276*k - 24978008.\nAnswer: 4*(k - 283841)*(k + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the first derivative of 1\/2*n**4 + 0*n + 23\/2*n**2 - 1\/3*n**3 - 23. Let t(s) be the second derivative of k(s). Differentiate t(u) wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23\/((-13662)\/72)*(-1)\/2?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 167206*y**4 - 83598*y**4 - 9*y + 74*y**6 - 173*y**2 - 83602*y**4 wrt y?\nAnswer: 8880*y**3 + 144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 41*r - 33*r. Is 9\/4 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -34 + 63. Let d = u + -20. What is the remainder when 16 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 352 in 2, 2\/9, 0, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 - 11144?\nAnswer: -11200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a - 2*a - 27. Suppose k + a = -0*n + 3*n, -3*k = 3*n - 9. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -7*r**3 + 1. Let y be x(-1). Let t(p) = 5*p + 6*p + 4*p + 4*p - 3. Is t(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/v**(-3))**(-4\/33))**(23\/3) assuming v is positive.\nAnswer: v**(-368\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 86*t - 85*t = -394, 2*p - 3*t - 398 = 0. What is the greatest common factor of 1127 and p?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-114)\/4 + 0 + -5)\/(6\/(-228)).\nAnswer: 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(29\/3)\/r**(-31)*(r*r**(6\/23))\/(r*r\/((r\/(r**(-4\/25)*r))\/r)))**(-3) assuming r is positive.\nAnswer: r**(-67426\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -123525 + 697576. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-2\/3)*r**(-1\/3)*r)\/(r**0\/r)**38)\/(r\/(r\/(r\/(r**(4\/9)*r)))*r\/((r\/(r\/(r\/r**(-6\/7))))\/r)*(r*r**3*r*r)\/(r\/(r\/r**(-1\/4)))) assuming r is positive.\nAnswer: r**(8077\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 90 = 6*s. Suppose u - 4*h - 3 = -17, -u + 5*h = s. Calculate the remainder when 1\/(u*(-2)\/(-48)) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(143)\/(sqrt(176) + sqrt(176) + 1*sqrt(176)).\nAnswer: sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -39*w + 940. Let i be f(24). Solve 4*o + 16 = 2*m, 2*m + 2*m = i*o + 12 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -81\/70 and 39\/293377.\nAnswer: 2933770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -60 + 106. Suppose -u = -5*l - 2*y, 3*l + l - 4*y - 20 = 0. What is the greatest common divisor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c - 272*r + 277*r + 10212, -40816 = -4*c + 4*r. Does 38 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the first derivative of -o**5\/15 - 5*o**4\/12 - 8*o**3\/9 - 2*o**2\/3 + 35. Suppose u(f) = 0. Calculate f.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 1 - 17 = 0. Let b = 15 - k. Let a(s) be the second derivative of -s**5\/20 + s**4\/3 + 5*s**3\/3 - 4*s**2 + 2*s. What is a(b)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1098317 is divided by 4903.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 18\/5 + -1 + -1 + -2. Which is smaller: 19 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/8 - ((-63)\/(-216))\/((-8)\/16)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 56 = 86, 2*t - 704 = 4*r. Solve -t*z - 9 = -361*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the third derivative of -q**8\/6720 + q**5\/40 - q**4\/24 + 2*q**2. Let j(c) be the second derivative of b(c). Differentiate j(i) with respect to i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-3)\/2 - 0)\/(19\/(-8056))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -28729645*v**4 + 13815161*v**2 + 2?\nAnswer: -689511480*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -4*x**3 + 2*x**2 + 18*x + 18. What are the prime factors of n(-5)?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 71 + -71. Suppose -5*x + 30 = 5*j, -4*j - 11 = -t*x - x. Is ((-4718)\/x)\/(2*-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*v**2 - 19 - 558*v**2 + 887*v**2 + 1055*v**2.\nAnswer: 1395*v**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -n + 6, 0*w + 4*w - 30 = -5*n. Let m(c) = 10*c - 11*c + n*c. Let z(j) = -j**2. Give z(m(l)).\nAnswer: -25*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**3 - 13*n**2 + 32*n + 66. Let g be r(8). Find f, given that -2\/7*f**3 + 2\/7*f + 2\/7*f**4 - 2\/7*f**g + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -27*p + 24*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**2\/d*d**(-15)*(d*d*d**(1\/2)*d)**(-17) assuming d is positive.\nAnswer: d**(-147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 + 1)*(-2*s + 3*s - 3*s)*(2 - s - 2).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 32130*g**3 + 21225*g + 8 wrt g.\nAnswer: 192780*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.53 + 1.409. Let t = -2.15 + 2.0448. Let o = b - t. What is o rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2546294 and 99.\nAnswer: -252083106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 + 14. Suppose 5*z - 1 = -j, -3*j = -0*j + z - 17. Let o = 14 + j. Calculate the lowest common multiple of o and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00007744613212 to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**3 + 23*g**2 - 21*g + 19. Let b(i) = i**3 + 23*i**2 - 20*i + 19. Let f(m) = 2*b(m) - 3*t(m). Let p be f(-24). Solve 0*l = 5*l + p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*z - 88 = -52. Suppose -5*m + q + 95 = 0, z*m - 65 = q + 2*q. What is the smallest common multiple of 4 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + 2*f = -23, -f + 1 = 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16 + 11*u + 16 + 5*u.\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 80 - 82. Let f(h) = 3*h**2 + 6*h - 2. Let o(m) = -7*m**2 - 13*m + 4. Calculate k*o(p) - 5*f(p).\nAnswer: -p**2 - 4*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/5 - (-2 + 2). Let y(v) = -v**3 - 60*v**2 + 4*v + 240. Let f be y(-60). What is the closest to 1 in f, h, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2655)\/(-19470))\/(25\/(-55))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 12 - 10931?\nAnswer: -1091c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) 1\/11  (b) -4  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**3 + 7*x**2 - 2*x + 14. Let l be z(7). Suppose l = -3*b - 32 + 110. Suppose -7*p = -b - 219. What is the highest common factor of 21 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**4\/2 - 80*n**3 - 6063*n**2\/2 + 13858*n + 16810.\nAnswer: -(n - 5)*(n + 1)*(n + 82)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -24.4 + 22. Round r to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/(2\/(-2*1)). Let r(d) = 44 - 14*d**2 - 9*d + 0*d - d**3 - 5*d + 4*d. Let h be r(-13). Put h, t, -5 in decreasing order.\nAnswer: h, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g*g**0*g*g\/(g**(-4\/5)\/g))**30\/((g*g*g*g**(1\/4)*g*g)**(-1\/17))**36 assuming g is positive.\nAnswer: g**(3147\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*y**2\/4 - 255*y\/4 + 265\/2.\nAnswer: -5*(y - 2)*(y + 53)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3\/7, 1\/6, -2\/155, -1\/74, 1.9, -8, 1?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*f**2 + 118*f**2 - 1030*f**2 + 3*f - 3*f - 2*f**2 + (f**2 - 2*f**2 - f**2)*(1 + 1 + 0) as x*f**2 + s*f + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -142.5 + 138.5. Which is the fourth smallest value?  (a) 1  (b) p  (c) 1\/5  (d) -94  (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/5  (b) 2  (c) -4  (d) -4.3254\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 48, 2\/5, -33, 0.11 in increasing order.\nAnswer: -33, 0.11, 2\/5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -8*s - 93. Let j be z(-14). Suppose 165 = -j*u + 1533. What is the lowest common multiple of u and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -21*b**4*q + 77*b**4 - b**3*q - 582*b**3 + 94807*b**2*q - 27*b**2 wrt b?\nAnswer: -504*b*q + 1848*b - 6*q - 3492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 (base 14) in base 15?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*g + 16*g = -45. Let o(c) be the first derivative of 0*c**2 - 1\/18*c**6 + 1\/15*c**g + 1 + 0*c**4 + 0*c**3 + 0*c. Factor o(d).\nAnswer: -d**4*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert f (base 16) to base 3.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/7  (b) -3139  (c) 1  (d) 75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 2*l**2 - 28*l - 60. Let y be z(16). Suppose 5*x + 524 = -j + 8238, 0 = -y*x + 2*j + 6160. List the prime factors of x.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12, 8, 0, -12?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**3 + 2*v**2 - 2*v + 1. Suppose 5*s + 5 - 15 = 0. Calculate the remainder when 37 is divided by k(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:39 AM and 10:04 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1467, 2815, 4163?\nAnswer: 5511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 582315312 a multiple of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 11*u**2 + 178*u - 169. Determine i(-17).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**2 + b + 1. Let d = 3 + -4. Let j(q) = -4 - 56*q**2 - 47*q**2 + 8*q - 45*q**2 + 11 + 3 + 156*q**2. Calculate d*j(i) + 10*v(i).\nAnswer: 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -74*z + 75*z - 3 - 13.\nAnswer: z - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (693\/(-9))\/((-1484)\/(-848))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 14 = -2*h, -g - 3*h - 8 = -1. Let r be -5*9\/(-30)*g. Solve -i - r*f = -2*f - 1, 3*f + 21 = 3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the third derivative of g**5\/15 + g**4\/24 - g**3\/3 - g**2. Is q(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s - 18. Let j(q) = -2*q**3 + 86*q**2 - 238*q - 86. Let b be j(40). Determine l(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**2\/19 + 442*t\/19 - 5796\/19.\nAnswer: -2*(t - 207)*(t - 14)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -23?  (a) 127  (b) -105\/2  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108 = -4*u - 5*r + 93, 3*u = 4*r + 43. Solve i = g + 2*i + 1, -u*g + 1 = 2*i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 171, 804, 1903, 3474, 5523, 8056, 11079?\n\"Answer: k**3 + 227*k**2 - 55*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34752*z + 18032*z + 16729*z.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 a factor of 9523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -2*r + 38. Let j be g(19). Factor -1\/3*b**5 + 2\/3*b**3 + 0*b**2 + 0*b**4 - 1\/3*b + j.\nAnswer: -b*(b - 1)**2*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -2*k - 306. Let d = 57 + k. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 59*g**2 - 812*g**5 + 544*g**2 - 623*g**5 wrt g.\nAnswer: -86100*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.09 times 133869?\nAnswer: -12048.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 507148 times 0.3?\nAnswer: 152144.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*n**5 - n**5 + 5*n**5)*(-10 + 7 - 20) + n**5 - 2*n**5 + 2*n**5.\nAnswer: -22*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 507576*u**2 + 11*u**3 - 507576*u**2.\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*((-1*sqrt(77)*-4 + sqrt(77))\/(sqrt(14)\/(2*sqrt(2) - sqrt(2))) + (-4 + sqrt(11)*1 - 2*sqrt(539))))**2.\nAnswer: 2304*sqrt(11) + 25920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000622 to 5 decimal places.\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11357.\nAnswer: 41, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t - 8 = -3*x - x, -t + 15*x + 1 = 4*t - 4*x - 2*x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 - 17 = -5*f. Let y(z) = -z**3 + 9*z**2 - 6*z - 2. Let x be y(f). Let a = x - 21. What are the prime factors of a?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**2 - m - 7. Let k(q) = -12 + 6 - 4*q + 3*q. Let b be k(0). Is 21 a factor of v(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*i - 3 + 2*i**4 + 3 + (4*i - i - 2*i)*(2*i**3 + 2*i**3 - 2*i**3).\nAnswer: 4*i**4 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*b + 11 - 11)*((1 - 1 - 2*b**2)*(0*b + 0*b - b) - 79*b**2 + 79*b**2 + 2*b**3 + (-2*b**3 + b**3 - b**3)*(-1 - 5 + 4) + 3*b - 2*b**3 - 3*b).\nAnswer: -24*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -23, -5, 5, -25, 1, -2 in ascending order.\nAnswer: -25, -23, -5, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the first derivative of 77*a**2\/2 - 15*a - 44. What is the units digit of q(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52866000 a multiple of 495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (d**2 + 0*d + d + 3*d)*(3*d - 10*d - 39*d) + (5*d**2 - 2*d**2 - 4*d**2)*(-3*d + d + d) in the form g*d + m*d**2 + w*d**3 + f and give m.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: 0.0733 * 0.4\nAnswer: 0.02932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = 3*t + 4*t. Suppose -o = -3*r - t*o + 12, r + o - 4 = 0. Suppose 0 = 9*f + 5*f - r*f. Solve 3*h - 4*h - q - 6 = f, 2*h + 5*q = -27 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3 + 0\/3 + 47. Suppose 2*u + 0*q + 3*q = 12, 4*q + 4 = 4*u. Suppose j = -u*l + 5*l. Solve w = 5*m - l, 5*w = 3*w - 4*m + 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 25*g + 210. Let t be u(-8). Suppose -4*h + 5*d = -5457, -4*d - 30 = -t. What are the prime factors of h?\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 871 or 1164?\nAnswer: 871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l**2\/5 + 338*l\/5 + 336\/5 = 0 for l.\nAnswer: -168, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-48)\/10 + -4)\/(2\/(-10)). Differentiate 119086*u**4 + 46 - 119074*u**4 + h + 2*u**3 wrt u.\nAnswer: 48*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.0425 and -34.7808.\nAnswer: 1.478184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -11.39*-5\nAnswer: 56.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 36, 31, 26, 21, 16?\n\"Answer: -5*r + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*l - 106 = 3*v, 0 = -v + l + 138 - 155 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 90*g - 34*g - 112. Factor 15\/2*u**g - 21\/2*u + 3.\nAnswer: 3*(u - 1)*(5*u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -32, -33, 2 in descending order.\nAnswer: 2, -32, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9 and 48384?\nAnswer: 48384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 80.56051nm to meters.\nAnswer: 0.00000008056051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand d**4 + 2 - 6*d + 6*d + (3*d**4 - d**4 + d**4)*(4 - 20 + 8).\nAnswer: -23*d**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -418360 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -4*r - 2. Let k be o(-4). Let j be 4\/k - 75\/(-7). Let t = j + -5. Calculate the smallest common multiple of 2 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 88183663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u = 5*u - 14*u + 1502512. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3948 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.4 + 3.6. Which is the closest to 2\/9?  (a) -0.2  (b) 2  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1363081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j + 3 - 47. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 906*f**6 - 5014*f**3 + 72*f**2 + 630832*f wrt f?\nAnswer: 108720*f**3 - 30084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 15) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*o + 9 - 32*o - 21 + 10.\nAnswer: -11*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 24 and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 11) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 21971965?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 371 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -l + 2*w, 0 = 2*l - 5*l + 4*w + 53. Suppose 0 = l*f - 38*f. Which is the nearest to 7?  (a) 1\/6  (b) 1\/4  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 218*(-11 + (-606)\/(-12)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0  (b) -1\/2  (c) -5  (d) -35  (e) -1.507\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -5  (b) -4  (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -1113*a + 328. List the prime factors of t(-6).\nAnswer: 2, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 48813 + -48814. Suppose -7 = 2*c + c - 2*n, 4*n + 41 = -5*c. Put 3, k, c, -40 in increasing order.\nAnswer: -40, c, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (5 + (-2 + sqrt(200) - sqrt(200)) + 5)**2.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4724081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 c when two letters picked without replacement from jjxjiijiicxiciiiiiij?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**3 + 15*n**2 - 16*n - 31. Is b(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9156, 9177, 9168, 9129, 9060, 8961, 8832?\nAnswer: 8673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 97 = 2*r + r, 76 = 4*z - 4*r. Calculate the greatest common divisor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 (base 2) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**2 + 5*o + 4. Let m be p(5). Solve -m*h + 4 = -12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4960996 litres to millilitres.\nAnswer: 496.0996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 106\/5642715 and -99\/19760.\nAnswer: 90283440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:00 PM and 3:07 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k - 5. Let h be o(-5). List the prime factors of (-1)\/(-1) - (h + -41).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1812 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -23 and -1189?\nAnswer: 27347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1\/(-6))\/((-1)\/4). Let s = y - 1. Let b = -1.2 - -1.4. Put 4, b, s in descending order.\nAnswer: 4, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0353434 times 0.1?\nAnswer: -0.00353434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -15, -0.6, 3\/8, 147\/46, -1\/9 in decreasing order.\nAnswer: 147\/46, 3\/8, -1\/9, -0.6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 85470 divided by 185.\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the third derivative of 19*g**8\/336 + g**4\/6 - 28*g**2. Find the second derivative of w(d) wrt d.\nAnswer: 380*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.34 and 89.\nAnswer: -30.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**2 - 3*l + 4. Let p be x(-4). Solve -j + p = -1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6452 - 6448. Solve -j*h - 3*r - 33 = 0, h - 23*r - 6 = -19*r for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/1224 and 29\/272?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (16\/((-3840)\/(-936)))\/((12\/(-5))\/(-2))\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/18)\/((-1)\/12*6)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 49, 51, 53, 55, 57, 59?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-10)\/(-8) + 4\/(-16))*24. Suppose s = -r + 7*r. Solve k = r*k + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -24 + 29. What is the third biggest value in -2\/21, 22, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**3 + 14*t**2 + 94*t + 55. What is the remainder when p(19) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4\/3  (b) 6  (c) -0.13  (d) -1  (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -13*l**3 + 5*l**2 - 5*l. Let i(o) = -10*o**3 + o + 22*o**3 + 3*o - 4*o**2. Let t = -1782 - -1787. Calculate t*i(a) + 4*u(a).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.52225 - -0.2775. Let x = 0.8 - z. Round x to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the first derivative of 6*r - 3. Let s(t) = t + 5. Let q(n) = 4*s(n) - 3*v(n). Let y(j) = j**2. What is y(q(l))?\nAnswer: 16*l**2 + 16*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 14*t**2 - 783*t + 738. What is b(55)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/71 bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -31 > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 + 0.5. Let o = z - 3. Let f be (-10)\/(-4)*(-16)\/(-260). What is the second smallest value in o, 3, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 3046985337375 and -15?\nAnswer: 3046985337390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**3 + 2*r**2 - 81*r + 364. Give w(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 317603867?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -348843\/5*k - 1\/5*k**3 + 1023\/5*k**2 + 39651821\/5 = 0. What is k?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 40*r + 15230 = 42*r, -2*b + 5*r = -15286. What is the remainder when b is divided by 36?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1454783.\nAnswer: 11, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52661245.\nAnswer: 5, 7, 13, 29, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-74)\/(-4) - (-14)\/(-28). Suppose 16*u + 72 = w*u. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1566040 divided by -476.\nAnswer: -3290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -2*x - 4*q + 2, 0 = 4*x - 2*q - 28. Let o(d) be the first derivative of d**3\/3 - 7*d**2\/2 + 7*d - 2. What is o(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 721 = -4*v + 733 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-9)\/4230)\/((-2)\/8). Let m be (0\/1)\/(4 + -6). Which is smaller: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40 = h + 19*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2508 - 4742 + 2*f + 2129.\nAnswer: 2*f - 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-11)*b**2)\/((b**(-8\/3)\/b)\/b*b*b**(-7)))**(-26) assuming b is positive.\nAnswer: b**(-130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is (0 - -2)*(-953)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -7. Suppose 3*x = 4*x - u*c - 8, 5*x = 3*c + 150. Calculate the greatest common divisor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 3*v + 13, -4*v = 4*g - 5*g + 14. Suppose g*d - d - 630 = 0. Round d to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 173.911983 hours to weeks.\nAnswer: 1.035190375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4*2 - 23\/(115\/10). Suppose 2*p + 9 = 4*y + p, 2*y + b = 4*p. Solve 2*w = -y*w - 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -133*b - 58*b + 60444 = -45*b. Is b a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13.41479l to millilitres.\nAnswer: 13414.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14.4 + -14. Let o = -0.7 + b. Which is bigger: 1\/6 or o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 3 = -0*z. Suppose 4*p - z = -g + 2, 2*g - 2*p - 46 = 0. Let h = g + -9. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -338*v - 534*v - 2 + 5081*v + 2 + 7616*v**4 wrt v.\nAnswer: 91392*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes after 2:24 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/516999 and 37\/738570.\nAnswer: 5169990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 816*k - 1641*k + 109 + 839*k in the form c*k + j and give j.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 6*h**2 + h + 2. Let d be y(-3). Let k = d + -31. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 174656035 to the nearest integer?\nAnswer: 13216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 13*i. Let w(s) be the second derivative of 5*s**4\/12 - 31*s**2 - 53*s. Let b(d) be the first derivative of w(d). Give n(b(p)).\nAnswer: 130*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1290 and 1720.\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*j**4 + 54*j**3 - 635*j**2?\nAnswer: -72*j + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -503 + 511. Solve 22 = d*y - 18 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (30\/25)\/(2\/5). Let a(v) = 0*v**3 + 0*v**2 + 6*v - y - v**3 + 5*v**2 - v**2. Let z be a(5). Calculate the greatest common divisor of z and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7820 and 700.\nAnswer: 273700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 4) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zbbbbbbbbbbbzbzbbz. Give prob of sequence zzz.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 12048\/(-3514)*7\/1\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6*(15\/(-9) + 2). Let j = -10\/161 - -8\/23. Find w such that 2\/7*w**u + j - 4\/7*w = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.001165 millennia in centuries?\nAnswer: 40.01165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13410 and 7745020?\nAnswer: 1490","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let t = 1636.9 - 1636.892419. Round t to 4 decimal places.\nAnswer: 0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -19?  (a) -9046  (b) -0.1  (c) -1  (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o + 8. Determine s(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -b5a5a (base 13) in base 5?\nAnswer: -40430141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*m - 63*m - 143*m - 1300 = 0. Which is the second biggest value?  (a) 1\/8  (b) -1\/2  (c) -9  (d) m  (e) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 5 - 10 = 0. Let c be 1 + 0 - (-5 + a). Suppose -2*y + y = -2*z - 13, 0 = -c*z + 6. Calculate the greatest common divisor of 68 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 180 = -k - 5*a, -5 = a. Let t = k + -28. Solve 5 = 4*y + t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.4163 + -19.9123. Let i = -2.804 + 2.7. Let o = i + z. Round o to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -133 (base 4) in base 2?\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uguuuguzzzg. Give prob of sequence uu.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 1309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.3 + 1.3. Let v = 0.74 + -0.927. Let g = v + -0.213. What is the fourth smallest value in -0.3, g, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -279*m**2*n**3 - 3*m**2*n**2 + 75687*m**2*n - 68*m*n**3 + 2*n**3 - 3*n**2 wrt n?\nAnswer: -1674*m**2 - 408*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1\/9))**(-14\/9) assuming c is positive.\nAnswer: c**(14\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2*((-482)\/4 - -2). Let m = b + -2135\/9. Sort 5, 0.5, m in descending order.\nAnswer: 5, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -2*t + 20. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*m**2 + 0*m**2 - m**5 + 68*m + 5*m**5 - 68*m + (-3 - 2*m + 3)*(m**2 - 9*m**4 - m**2).\nAnswer: 22*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 + 710\/(-2 - -3). Let g = i + -380. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 3*d**2 - 300 = 0.\nAnswer: -10, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2200.319 and 0.8?\nAnswer: 1760.2552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.4682271 and 183708491.\nAnswer: 183708490.5317729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 40\/9, -0.4641, 0.2?\nAnswer: 40\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -19 - -46. Let y = 50 + -47. What is the highest common factor of y and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -366, -353, -332, -303, -266?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 113051.2904 rounded to the nearest 1000?\nAnswer: 113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that 3531*z**3\/7 + 7104*z**2\/7 + 3615*z\/7 + 6 = 0.\nAnswer: -1, -14\/1177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + 24 = -8*o. Let r(m) = -11*m**3 - 3*m**2 - 11*m + 21. Let z(i) = -4*i**3 - i**2 - 4*i + 7. Let j(x) = o*r(x) + 8*z(x). What is j(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -140\/8843 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 6738 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6160402*b**2 + 716470*b + 5 wrt b?\nAnswer: 12320804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/(-16)*12 - (-10)\/(-4). Let t(r) = -4*r**3 + 9*r**2. Let l(j) = j**3 - 3*j**2. Let a(v) = d*t(v) - 14*l(v). Factor a(m).\nAnswer: 2*m**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zmc when three letters picked without replacement from {c: 1, o: 1, m: 3, z: 5}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 4, 13.4, 0.9, 0.1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 3*h - 3*h - h + 4. What are the prime factors of k(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 - -4. Let j be (-2)\/1 + y - -20. What is the tens digit of 2\/(-6) + 528\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3407025, 6814063, 10221123, 13628217, 17035357, 20442555?\n\"Answer: 2*m**3 - m**2 + 3407027*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 136 - 137. Let f be 4 + (0 - -2) + y. Which is the nearest to 0.1?  (a) 0.29  (b) f  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 5 + 0 = 5*n, 2*x + 4*n + 2 = 0. Let j be (-4)\/(-4) + x + -1. Suppose -6*f + 45 = -j*f. Calculate the greatest common divisor of f and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*m + 288 = 14*m - 9*m + 886 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 97 + 5*j**4 + 2*j**5 - 60*j**3 + 80*j + 2*j**2 + 3*j**5 - 97 + 18*j**2 = 0.\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 - 8)*(-4*y + 6*y + 7*y) + (4 + 2 - 4)*(4*y - y - 2*y).\nAnswer: -52*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**3 + 10*v**2 - 9*v - 10. Calculate n(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -801.4 - -745. Let d = c + 56.399911. What is d rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2914 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(500) + -1 - sqrt(500)) + 1)**2.\nAnswer: 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -91310 or -86023?\nAnswer: -91310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -52*t. Let d(k) = k - 1. Let a = -109 + 98. Let j = a + 6. Let b(x) = 7*x - 5. Let m(h) = j*d(h) + b(h). Calculate m(i(u)).\nAnswer: -104*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 442 + 58. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x - 16 = 2*n, 4 - 16 = -5*n + 3*x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2 + 0)*(-2*v - 2*v + 6*v) + 33*v + 104 - 104 + 1 - 83*v + 171*v + 231*v.\nAnswer: 356*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -9 + 78 - (8 + -2) - (-5 - (6 - 18))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 201299.5 millennia to months.\nAnswer: 2415594000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 12*b**2 + 9*b - 312 wrt b?\nAnswer: 24*b + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -987 plus -3?\nAnswer: -990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**3 - 8*p**2 + p + 10. Let r be m(-8). Let l(b) = 19*b + 173. Let x be l(-9). Solve -r*g = -x + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 0*f = -6. Let h(y) = -y**2 - 6*y - 6. Let n be h(-4). Determine z, given that -z**n + z**4 - f - 15*z + 23*z - 5*z**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(7) + (1*sqrt(343) + sqrt(343))**2 + sqrt(7) + -5.\nAnswer: 2*sqrt(7) + 1367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 99 divide 37521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -2, 2, 5, 46270 in decreasing order.\nAnswer: 46270, 5, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 + 2. Let c be -33*(-3)\/(0 - 9). Sort -4, z, c in decreasing order.\nAnswer: z, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**(-2))\/((s*s**(-3)*s)\/s*s))\/(s**(-6)*s**(-8)) assuming s is positive.\nAnswer: s**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1040\/12)\/(-10)*3\/1. Let d = -5 - t. Find the second derivative of 0*g - d*g**4 + 10*g - 16*g wrt g.\nAnswer: -252*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, -30214, 5 in descending order.\nAnswer: 5, 1, -2, -30214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 49672321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the second derivative of -5*m + 0 + 3*m**2 - 5\/3*m**3. What is the units digit of y(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 508545?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15\/79 - 1927\/10981. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 516 divided by -12.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 42419?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 206402.7 and -2.969539?\nAnswer: 206405.669539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fhhhhfphhph. Give prob of picking 2 p.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/233844 and 11\/199719?\nAnswer: 1197515124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -2*j**3 + 28*j**2 + 31*j - 10. Let f be g(15). Solve -10*r + 30 = -f*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 52 + -49. Calculate the remainder when 15 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 67.842035 + -0.21039\nAnswer: 67.631645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 2*(115\/184)\/((-5)\/(-20))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -26918 and 0.3?\nAnswer: 26918.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 30053 = 2*k, 0*t - 4*t = k - 15022. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s - 4. Let t be f(-7). Let y = t - -13. Suppose -o = -4*r - y + 1, r = 2*o - 9. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -805 + 809 - (6 + -2 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 424993.\nAnswer: 113, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8*v**3*y**4*z - 7*v**3*y**3*z - 2*v**3*y*z + 109*v**2*y*z + 2*v*y wrt y.\nAnswer: 96*v**3*y**2*z - 42*v**3*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1989 - -2015. What is the greatest common factor of 3328 and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 145\/111288 and -39\/1187072.\nAnswer: 3561216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -77\/32 and -89\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 14876522857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 + -2. Let l = 5 - w. Suppose 0*v - l = -2*v. Solve -4*c = -4*i + 24, v*c = -3*c - 5*i - 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17, 14, 13, 14, 17?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 + 11. Suppose -2*j - 5*t + 7 = 18, 3*j - n*t = 41. Let q(p) = p + 4. What is the tens digit of q(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 100035 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -4 - (23 + -17 + (3 + -5 - 8))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g + 130. Let v(k) = -6*k - 2*k - 3*k + 14*k. What is v(s(a))?\nAnswer: 3*a + 390","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3\/9*0)\/1. Let c = 1.2 + 0.8. Let v be 10\/(-18) + 2\/9. What is the nearest to v in 2\/13, c, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -8, -4, 0, 10 in decreasing order.\nAnswer: 12, 10, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1, 0, -1, -2, -3, -4?\n\"Answer: -m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**3 + 25*s**2 + 23*s + 10. Let z be c(25). Suppose 2*p - 2*p**2 - 585 + 6*p + z = 0. Calculate p.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 13\/4 of a minute?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = -0*d - 4*d + 212, 5*d + 5 = 0. Find the common denominator of -119\/10 and r - (5 - 3\/3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-20)\/8*(-8)\/(-50). Let l = -252 + 2774\/11. Which is the second smallest value?  (a) l  (b) 1\/8  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 32*k**3 - 6*k**2 + 7*k - 5. What are the prime factors of c(3)?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -56 - -256. Suppose -20 = -3*y - 14, -4*y + c = 2*i. What is the lowest common multiple of i and 84?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 23 + -12. Suppose 0*n = 4*n - 5*q + 16, 3*q + 8 = -2*n. Calculate the lowest common multiple of x and (2\/n)\/((-3)\/18).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**8\/s)**13*s**(11\/4)\/(s*s**(-1\/10)) assuming s is positive.\nAnswer: s**(1857\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (2424\/4444 - 2042\/(-88))*(6 - 10)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 683857 is divided by 301.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 19 - 119*o + 132*o - 17 + 17 - 2*o**2. What is m(10)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i - 5 = -z, -z - 79 = -4*i - 84 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = 3*x - 12476, 0 = -x + 2*v - 1539 + 5687. What are the prime factors of x?\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -271 + 303. What is the remainder when a is divided by 32?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**2 - 2*i + 26. Let d be u(-14). Suppose q = -z + 3*z - 485, -z + d = -2*q. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -118818, -118905, -119004, -119121, -119262, -119433?\nAnswer: -119640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 - 2*b**2 + b - 2. What is the lowest common multiple of t(3) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 3 u when four letters picked without replacement from {u: 3, c: 15}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01311 rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4.208 - -1.634. Round n to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6307750 divided by 1261550.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 2859*f**3 + f - 603. Let p(x) = 2*x**3 - 3*x**2 + x - 10. Let s(r) = a(r) - 2*p(r). What is the third derivative of s(u) wrt u?\nAnswer: 17130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -20*u**3 - 8*u + 8. Let x = 10 + -7. Let h(q) be the second derivative of -7*q**5\/20 - q**3\/2 + 3*q**2\/2 - q - 2. Determine x*d(i) - 8*h(i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 2 = 8. What is the tens digit of (d\/(-4))\/((-5)\/60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 512428?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -20103013111 (base 4) to base 2\nAnswer: -1000010011000111010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 4027*j - 205383. What is a(51)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 765174681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 10*q**5 - 906*q**4 + 16496*q**3 - 77816*q**2 + 74976*q + 43520 = 0.\nAnswer: -2\/5, 2, 5, 16, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.39  (b) -5  (c) -3\/4  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15329 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 16 - 16.2. Which is the nearest to l?  (a) 0.2  (b) 0  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 73581 is divided by 73325.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -105*q**2 - 19*q**4 - q + 0*q + 9*q**3 + 103*q**2 + 20*q**4 to l*q**2 + w*q**3 + j*q**4 + n*q + d and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -205820, -411634, -617444, -823256, -1029076, -1234910, -1440764?\nAnswer: -1646644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -4 - -2) + -5 - 6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (92 + 112 - 157)*(5 + 4 + 5)*(2*t**3 + 3*t**3 - 3*t**3) + (t + 2*t**2 - t)*(-1 + t + 1).\nAnswer: 1318*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7379, -29646, -66565, -118136, -184359?\nAnswer: -265234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -696*g**3 + 5*g**2 + 14*g - 1. List the prime factors of c(-2).\nAnswer: 3, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the first derivative of -11*j**5\/5 + 5*j**2\/2 - 41. What is the second derivative of c(b) wrt b?\nAnswer: -132*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a meter in centimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6444, -6237, -6030, -5823, -5616?\nAnswer: -5409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -195*a + 386*a - 194*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -3, -57711 = 3*p - 6*p - z. List the prime factors of p.\nAnswer: 2, 3, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -25*x**3\/2 + 307*x**2\/6 - 164*x\/3 + 14\/3 = 0.\nAnswer: 7\/75, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the second derivative of -r**3\/3 + r**2\/2 + 2*r. Suppose 54 = 2*k + 4*c, 6*c = 2*k + c - 63. What is the remainder when k is divided by f(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**3 - 32*q**2 + 160*q - 256.\nAnswer: 2*(q - 8)*(q - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r**2 + 1871750*r + 9358875 = 0. Calculate r.\nAnswer: -5, 374355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(2) + -1 + (3 + sqrt(2))*-2 + 0)**2.\nAnswer: 12*sqrt(2) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes before 10:26 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 42\/5 of a centimeter?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and -96.75.\nAnswer: -96.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2222 is divided by 106.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence av when two letters picked without replacement from {v: 3, m: 2, a: 5, d: 2}?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0.11, -0.5, 1\/8, -0.4 in increasing order.\nAnswer: -0.5, -0.4, 0.11, 1\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8 and 566.\nAnswer: 2264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**3 + 7*t**2 + 8*t - 3. Let j be 3 - -1 - (-3 - 1). Let m be q(j). What is the units digit of (m\/(-2)*-1)\/((-2)\/24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + 5 = 2*j, 485 - 505 = 3*j - 4*z for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -47*s**2 + 376*s + 6. Let i be d(8). Solve 2*g - 2*a = -g + i, 3*g + 3*a = -9 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -23 + 28. Suppose d*l = -0*l - v - 10, 3*v = -5*l - 20. Let u(m) = -m**3 - 2*m**2 - m. Give u(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -14043 - -21?\nAnswer: -14022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tootttooooto.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2204\/19604 + 1\/(-13). Let m(u) = -u**3 - 1. Let c be m(-1). Is h bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00006415 rounded to six decimal places?\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4706 - 4485. Is 17 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -3*l + 1. Let u be c(-3). Let s = 31 - u. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 97344 is divided by 32443.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(11) + 1 + -4) + 3 + -5*(1*sqrt(704) - (1 + sqrt(11) + -2*sqrt(11))))**2.\nAnswer: -1960*sqrt(11) + 26811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/30 and -33\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -216 = -6*r + 2*r. Let v be 20076\/r - (-4)\/18. Is (-1)\/(v\/(-370) + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 - (1 - 0))\/1. Suppose -3*j - 1695863 + 165863 = m. What is j rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -249*i**2 - 14*i + 269. Let n(t) = -23817*t**2 - 3*t + 23734*t**2 + 89 - 2*t. Let b(g) = -8*n(g) + 3*p(g). Find the first derivative of b(c) wrt c.\nAnswer: -166*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 21*u - 26. Let f be t(3). Suppose -2*y = -4*m - 212, 5*m = -1 + 6. Let k = y + f. What are the prime factors of k?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 1 = 6. Suppose -3*o = -0*o + 2*s + 4, 4*o + 17 = -x*s. Suppose 0 = -o*l - 0 + 6. What is the biggest value in -3, l, -2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 661464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -4*s**3 - 7. Let w = -9 - -13. Let y(r) = r**3 - 3*r**3 + 0 - 1 - 3. Determine w*x(t) - 7*y(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 7*q - 15 = 0. Let o(k) = -3*k**3 - 2*k**2 + 5. Let b(w) = 2*w**3 + w**2 - 3. Let r(i) = q*o(i) + 5*b(i). What is y in r(y) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 143\/378 and 53\/36.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20*z**5 + 1520*z + 668*z**3 - 320 - 348*z**2 - 728*z**2 - 1224*z**2 - 260*z**4 + 537*z**3.\nAnswer: 5*(z - 4)**3*(2*z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21 + -20 + -32 + -5.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 111892 and 71926212?\nAnswer: 10172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -2*i**3 - 14*i**2 + 6. Calculate g(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*d + 4*d**2 + 16*d + 21*d.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*t**4 - 1125220*t**3 + 4*t - 67582077 with respect to t.\nAnswer: -8*t**3 - 3375660*t**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-39)\/(-9) + 6\/9. Suppose z*w = -0*w - 50. What are the prime factors of 1\/(-3 - 32\/w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/258 and -26\/27.\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*r - 4*r + 100. What is the smallest common multiple of 176 and r?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (6 - 4) + (-12880)\/504. Which is greater: 1\/4 or c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 0*a + 254990 = 3*h, 0 = h + 3*a - 84994. Suppose -g - h = 4*g. What is g rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*a + 52*a**3 + 55*a**3 - 174*a**3 + 81*a**3 - 8*a.\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q\/(q**(-15)*q*q*q)))\/q**(-41) assuming q is positive.\nAnswer: q**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*(-120 - (0 + 2)). Let g = t + 175. List the prime factors of g.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 2 = 6. Suppose -4*k = 2*r - 12 - 4, 2*k + g = 2*r. Suppose 4*o - 2*o = 5*z - 84, -r*z - 3*o = -58. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6 - 3 - 1 - 3*d + (3*d - 4*d + 2*d)*(-1 + 4 - 1).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*n - 2*n + n)*(126*n + 62 - 62).\nAnswer: -882*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 + 7. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/(-4))\/(195\/156)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 233378330 to the nearest integer?\nAnswer: 15277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = 3*z - 10, -5*z = -y - 14. Let s = -5.022 - -0.022. Which is the nearest to s?  (a) 1  (b) y  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5*(3\/1*1)\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*g**3 - 13*g**3 + 8*g**3 + 17*g**5 + (3*g**5 - 2*g**5 - 2*g**5)*(-3 + 3 + 2).\nAnswer: 15*g**5 + 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-27)\/18*(2 + 44\/(-24)). Is l smaller than -0.0232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d - 4*z + 232, -2*z + 106 = 2*d + 2*z. Suppose t - d = -16. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 126301835 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 501 - 501.1. Which is the closest to k?  (a) 53  (b) 0.1  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-66)\/18*(-3000)\/440.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1988.652 rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 6*c + 18 = 0, 2*c - 3 = z + 3*c. Suppose -5*n - q - 84 = 3*q, 5*q = 20. Let g = 25 + n. Sort 4, 14, z, g in ascending order.\nAnswer: z, 4, g, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14203 < 14370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.5, 1569, 1, -1\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-91)\/(-7))\/((-1)\/(-178)). Let w be b\/14 + (-4)\/14. Suppose z + w = 4*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8830782.000036 - 8830818. Let w = -0.075 + -35.925. Let c = w - r. What is c rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 418, 3094, 10106, 23542, 45490?\nAnswer: 78038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.759, 0.3, 57, 2, 1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 245891660 - 5407906337\/22. Let x = d - 477142403\/6138. Let p = -1\/341 + x. Which is bigger: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(60)\/(2*sqrt(12)) + (sqrt(180) - sqrt(45))\/sqrt(9).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 4*w = -10, 2*h = -3*w + 5 - 1. Suppose f + 407 = 6*f - 2*k, 4*f + 4*k = 320. Suppose h*c - 235 - f = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18*b**5 - 12*b**5 + 4*b**5)*(-3 + 0 + 5)*(-14 + 57 - 28) - 2*b**5 + 5 - 5.\nAnswer: 298*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 130 and 50.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30*2\/40)\/(3\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 801250905 to the nearest integer?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + f + 928 = z, 5*z - f = 1160. List the prime factors of z.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1378, -2931, -4522, -6151, -7818?\nAnswer: -9523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3395888717 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/49  (b) -761  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-13)\/p)\/(p*p*p**(-5\/9)) assuming p is positive.\nAnswer: p**(-139\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-20)\/15*12\/40*5. What is the thousands digit of ((-2876)\/10)\/((-36)\/(-20) + k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 4*h**3 - 126*h**2 - 62*h - 94. What is m(32)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2880.14nm to micrometers.\nAnswer: 2.88014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from ogo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.183989 to 2 decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 199 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -6*l**2. Let z(g) be the third derivative of -35*g**2 + 0*g**3 + 0 + 0*g - 1\/24*g**4. Give x(z(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -3*u**2. Let d(q) = 2*q**2 - 2*q + 609. Determine d(m(t)).\nAnswer: 18*t**4 + 6*t**2 + 609","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(187) + sqrt(187) + 2*(sqrt(187) - sqrt(187)*2)))\/(5*(sqrt(11) + sqrt(44)\/sqrt(4)) - sqrt(44)\/sqrt(4)*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 17187 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:07 AM and 1:30 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1829523 is divided by 1829474?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/9?  (a) 1  (b) -1\/2  (c) -4  (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11022 and 70140.\nAnswer: 771540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/31, -0.03, -4, -0.306?\nAnswer: -0.306","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -149 - -153. What is the second derivative of 3*l**2 + 1 - 11*l - 5*l**z + 15*l + 10*l + 1 wrt l?\nAnswer: -60*l**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**3 - 13*c**2 + 33*c - 35. Let o be r(10). What is the nearest to 29 in 2, 1, 0.3, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (16 - -2) + 6\/(-3). Suppose -5*a - l = -7*a. Let j = -5 + a. Solve -7*v = -j*v + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(4\/9)\/(r**(1\/26)\/r))**(-1\/19) assuming r is positive.\nAnswer: r**(-329\/4446)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3594830 not equal to 3595176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**3 + 5*m**2 + 2*m - 2. Suppose 5 = -l + 1. Let n be o(l). What are the prime factors of (n\/4)\/(15\/50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 18 - 14. Suppose -t - t + 70 = 2*p, r*t - 4*p = 132. Let c = -16 + t. Calculate the highest common divisor of 18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 130156064 (base 7) to base 10\nAnswer: 8266346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the third derivative of -6*y**2 + 0 + 0*y**7 + 1\/8*y**4 + 0*y**5 - 1\/112*y**8 + 0*y + 0*y**3 + 0*y**6. Find the second derivative of j(x) wrt x.\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31553?\nAnswer: 139, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/((-36)\/(-15))*4. Suppose 0 = -d*o + 48 - 138. Is ((-13894)\/o*6)\/((-4)\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.46 + -0.39. What is the smallest value in m, 3, -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**2 + 7*x - 3. Let j be 0\/((-3)\/6 + (-12)\/(-8)). Suppose j = -37*h + 36 + 149. Calculate n(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 66.481 plus -4544.83596?\nAnswer: -4478.35496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1791 divided by 3.\nAnswer: -597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**3 - 2*i**2 + 7*i + 6. Let d be m(0). Suppose -2*z + l - 8 = -d, 3*z + 2*l = 11. Let s be ((-1)\/3)\/((-12)\/9). Is z != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2871, 2753, 2635, 2517, 2399?\nAnswer: 2281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -4*q**3 - 350488*q**2 - 164066660*q - 19251876800 = 0?\nAnswer: -87152, -235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**2 + 9*j. Let k be u(8). List the prime factors of 339\/12 + (-2)\/k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 62  (b) 19  (c) 243  (d) -0.4  (e) -4  (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*c**2 - 26135*c + 1988250.\nAnswer: -5*(c - 75)*(c + 5302)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 945199100 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = 18*t - 6*t. Let n(z) = 19*z**3 - z**2 + 9*z - 17. What is the hundreds digit of n(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c - c + 5*c)*(-29 - 74 - 47)*(0 - 2 + 0)*(0*c + 2*c + 0*c + (0 + 1 + 0)*(3*c + 0*c - 4*c) + 11 + c - 11).\nAnswer: 1200*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 97 - 157. Let g = m + 62. Solve 3*u - 5 = -g*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1126000 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 14834 and 7417.\nAnswer: 14834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -4 * -38.91\nAnswer: 155.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 270 and 15832710?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m - 622 + 622)*(-6*m + 2*m + 3*m) - 3 + m**2 + 3 + (-3*m + 3*m - 6*m)*(-9*m + 3*m + m).\nAnswer: 28*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((-1*sqrt(108))**2 + sqrt(108))*3 - sqrt(108))*-4 - (2 + sqrt(108) + sqrt(108)*-1*1 + sqrt(108))**2)*2*5.\nAnswer: -14080 - 720*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 34350 and 12600?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 - 3*i + 5*i - 1096*i**2 + 987*i**2)*(-i**2 - i**2 + 0*i**2)*(-4 + 1 + 1).\nAnswer: -436*i**4 + 8*i**3 - 28*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 9 = -0*r. Suppose s + 17 = 3*q, -35 = -3*q + 5*s - 10. Sort q, r, 0 in descending order.\nAnswer: q, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11*o*p**5 + o*p**3 + 33*o*p**2 + 3*o*p - 2*p**6 + 2*p wrt p.\nAnswer: -660*o*p**2 + 6*o - 240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 + -7. Let s = 14.000019 + f. What is s rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 5*u - 42, 0*u = -4*u + 3*c + 29. Calculate the remainder when u is divided by (-3)\/((-3)\/5)*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**11*h)\/(((h**(2\/33)*h)\/h)\/h)*((h**(-28\/3)\/h*h*h)\/h)\/h**(22\/7))**(7\/6) assuming h is positive.\nAnswer: h**(169\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**2 + 2*c - 90. Let l be r(0). Let k = -74 - l. Suppose h + k*h - 1020 = 0. Calculate the highest common divisor of 90 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {d: 4, b: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 + 12003243?\nAnswer: 12003244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -149*o**2 + 298*o**2 - 145*o**2. Let q(b) be the first derivative of b**3\/3 - 1. Calculate q(u(j)).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {u: 3, e: 13}?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 93 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**3 + 6*l**2 - l - 19. Let i be u(-6). Let s be 134*4\/(-104) - 2\/i. Suppose -t = 3*j - 8, 2*t = -2*j + 3*t + 7. Sort s, j, -3.\nAnswer: s, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 56600 (base 7) to base 9.\nAnswer: 21622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 less than -6727589.509?\nAnswer: -6727589.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 397614 and 18?\nAnswer: 1192842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12, -15, -10, 3, 24, 53?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11*r**4 + 3056*r**3 - 3*r**2 + 331226*r?\nAnswer: 132*r**2 + 18336*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3 + 6\/(-8)*(-1220)\/300. Which is the nearest to -1?  (a) 0.5  (b) -3  (c) f  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*g**4 - 607461*g**3 - 908*g**2 - 5905*g wrt g.\nAnswer: -168*g - 3644766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 74*b**3 - 3*b**2 - 6*b + 3. Let p(s) = -148*s**3 + 7*s**2 + 16*s - 7. Give 2*p(g) + 5*u(g).\nAnswer: 74*g**3 - g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -137 - -108. Let r(x) = x - 29. Let q be r(0). Is q greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14 divided by 15\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Total of 87 and -12859.4.\nAnswer: -12772.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (7\/(-4)*10*(-18)\/42)\/((-135)\/720)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 1 = 5, -2*l = -4*h. Suppose l*g - 8 = 8. Suppose -g*y = 2 - 10, 0 = 3*z - 3*y - 36. What is z rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -s - 3. Suppose 0 = b - s. Solve 0 = h + b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1.02265 and 4116.\nAnswer: 4117.02265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 24.00835 micrograms?\nAnswer: 0.02400835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -16a2 - 5?\nAnswer: -16a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -53 + 18 - -15 - -11\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5950499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -8220*q + 1759009. Give z(214).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 12\/((4\/(-10))\/(-1)). Suppose 0 = 3*f + r - 81. Suppose 4*z = -4*o + 48, 2*o = -z + 6 + f. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 175102 at least as big as 174896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes before 11:44 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 6 = -2*p, -4*p + 9*p + 4*t = -12. What is the nearest to -2\/7 in p, 0, 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3\/(-9))\/((-7)\/105). Solve 12 = 3*p - 3*x, 3*p = a*x - 6*x + 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 108 and 54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(1\/3)*w\/w**(1\/11))\/(w**(3\/7)\/(w**(-3)\/w)) assuming w is positive.\nAnswer: w**(-736\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from irieuiureiu. Give prob of picking 1 i and 1 u.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 130991\/5 <= -9\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from qwwi.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 843859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -76 (base 8) in base 3?\nAnswer: -2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:24 PM and 4:03 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o + 5*x = 14, -4*o + 6 = x - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is a2 - 260?\nAnswer: -18b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:47 PM and 11:29 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 8 = 2*v. Let q(i) = i**3 + 2*i**2 + 4*i + 3. Let f be q(-2). Let y = f + 9. Sort -4, y, v in ascending order.\nAnswer: v, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yya when three letters picked without replacement from yyayyya?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19048 is divided by 486.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-2)\/6)\/(1\/(-81))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/8)\/((-4)\/((-20)\/(-5))).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(20)\/sqrt(4))*3 + -2 - (sqrt(540)\/sqrt(2))\/(sqrt(6) + (sqrt(726) - 1*sqrt(726))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 102, 419, 948, 1689, 2642, 3807?\nAnswer: 5184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -x + x**2 + x + 3*x**2 + 0*x**2 - 5*x**2 + (3*x + 3*x - 4*x)*(-x + x + 2*x) + (-293 + 293 + 11*x)*(-119*x - 141*x + 67*x).\nAnswer: -2120*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -5, 33, 0, 2.\nAnswer: -5, -1, 0, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11.842 - -943.358. Let v = -955 + o. Which is the third biggest value?  (a) -0.07  (b) v  (c) -3\/7  (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -4 + (-2 + (sqrt(6)\/sqrt(2)*2 - (2 + (sqrt(3) + 0 - sqrt(3))))*2)**2.\nAnswer: -48*sqrt(3) + 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + -3 - 2 - (6 - 12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + -1 + 3 + 1 + 1 + -5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 150859325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 126632 - 253863 + 126693 + 2*j**3 + 7355*j**4 wrt j.\nAnswer: 29420*j**3 + 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00003106861 rounded to six dps?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 25735162433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 107\/2796437 or 0?\nAnswer: 107\/2796437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2.41 - -2.955. What is b rounded to two decimal places?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 1\/4  (b) 8  (c) 1\/7  (d) 0.13  (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the third derivative of 0*t**3 + 17\/20*t**5 - 36*t**2 + 0*t - 1\/4*t**4 + 0 - 3\/8*t**6. Factor i(l).\nAnswer: -3*l*(l - 1)*(15*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(10) + sqrt(20)\/sqrt(18) + sqrt(10))\/((sqrt(60)*2)\/sqrt(12)).\nAnswer: 7*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4679 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4319397 is divided by 2457.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 617907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 38595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -46 - (-31 + (-9 - -5) + 19)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (-3 - (-5 + 9 + 0) - 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.668908 to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 13 - 82*y + 236*y - 75*y - 72*y as k + o*y and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9544)\/45334*57\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 2*v**2 + 3. Determine m(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/37  (b) -5166450  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3512464038 to the nearest integer?\nAnswer: 59266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q = 5*q - 15. Suppose j - 7*l - q = -4*l, -2 = -j + 4*l. Solve -3*n + n - 2*w = j, -2*w = 5*n + 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 595381.9 days in microseconds?\nAnswer: 51440996160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -98, -173, -248, -323?\nAnswer: -398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2931, 11586, 26001, 46170, 72087, 103746, 141141, 184266?\n\"Answer: -c**3 + 2886*c**2 + 4*c + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/6 + (-60)\/(-16) + -3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 + 12020201120122?\nAnswer: 12020201120120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 48283570?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 235 in -0.3, 14\/5, -5, 5, 0.08?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**2)**(14\/15)*(s**(-1\/5))**(2\/121))\/(((s\/s**(-3\/4))\/s*s)\/(s*s**7))**12 assuming s is positive.\nAnswer: s**(47067\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/2, -20, -5 in decreasing order.\nAnswer: 3\/2, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-3))**(-20) assuming o is positive.\nAnswer: o**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -269*z**2 + 37*z + 50. Let r be h(50). Round r to the nearest ten thousand.\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/10  (b) 0.4  (c) 2\/93  (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14385637 divided by -3.\nAnswer: 14385637\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - g - 40, 4*g = z + 2*g - 5. Suppose 10*l + 10 = z*l. Solve -3*m + 19 = 4*r - 0*m, m = -l*r + 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1104 = 5*k - 166. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/(-10) - (-14)\/35. Let n be f\/(-4)*(-1 - 3). Solve -15 = -3*a, 3*a - 14 - n = 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -17*o**2 + 123*o - 28 = 0?\nAnswer: 4\/17, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/(1\/((-4)\/2)). Let z = -5 - -9. Let i = 3.6 - z. What is the second biggest value in a, 2\/11, i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 111 (base 2) to base 14\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 299 + 960. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1001010011100101 + 10010?\nAnswer: -1001010011010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of o**5\/60 - o**4\/4 - 10*o**3\/3 - 177*o**2. Determine d(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00159728875 rounded to 5 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 292*i**2 - 1642*i + 13087. What is the units digit of z(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3853143 and 3262623.\nAnswer: 851544603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1000 (base 2) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -79.4208 * 45.7.\nAnswer: -3629.53056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 190*c + 229*c + 133*c - 18*c to p*c + u and give p.\nAnswer: 534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the second derivative of 13*h**5\/2 - h**4\/6 + 1585*h**3\/6 + 256*h. Find the second derivative of g(c) wrt c.\nAnswer: 780*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.9, 0.6, 3, 2\/23 in increasing order.\nAnswer: 2\/23, 0.6, 0.9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**3 + 4*g**2 + 25. Let j be y(-5). Solve 6*f - 4*f + 4 = j for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes after 3:43 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*k - 11*k - 12*k. Let j(n) be the first derivative of k*n + 3\/10*n**5 - 3\/8*n**4 - 7 - 1\/12*n**6 + 0*n**2 + 1\/6*n**3. Determine m so that j(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 12 = 2*y - 2*u, -3*y + u - 21 = 0. Let s be 4\/y - 85\/(-114). Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -2*r**3 - 13*r**2 + 8*r + 9. Determine i(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/4  (b) 5\/2  (c) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -3*s**4\/2 + 321*s**3 - 639*s**2\/2 = 0?\nAnswer: 0, 1, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(5)*1 + sqrt(5) + -2 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 3577 = -5*i, 21*i - 22*i = 2*t - 1785. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -23\/15 + 4\/3. Let o = -2 - -1. Let z = o + 1. What is the second smallest value in z, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 11*b + 71. Give x(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 212 + -122. Let j be (12 - 1030\/(-20)) + 6\/4. Let h = b - j. Calculate the remainder when 122 is divided by h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 0.05, -3, 0.5 in descending order.\nAnswer: 7, 0.5, 0.05, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y + k + 46 - 12, 0 = 4*y + k - 62. Calculate the remainder when y + ((-3)\/3)\/1 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2634377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/a**(2\/9))\/a)\/a)**(-14) assuming a is positive.\nAnswer: a**(154\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 693 and 14385?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 29\/5  (b) 0.3  (c) -87  (d) -0.3  (e) -4  (f) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 276851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -52.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 5*s + 21 = 0, -o + 14 = 2*o - 2*s. Let i be 2\/(o\/438*-3). Let d = 108 + i. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -3  (b) 3856  (c) -6\/11  (d) 2\/27  (e) 0  (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5458*l - 330908 = 247640 for l.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2428533 greater than or equal to 2428530?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 247 + 12. Let u = 292 - k. What is the remainder when 96 is divided by u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 52*y + 2. Let h be r(2). Let d = -72 + h. Does 17 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6591 + 3096. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 2*m**3 - 9*m**2 - 10*m + 19. Let j be y(5). Is j\/(-10) + (-1272)\/(-5) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/27 and -86\/399.\nAnswer: 3591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -311, -0.1582, -3, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6159779.\nAnswer: 67, 89, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**2 + 2*t + 2. Let w be h(-3). Solve c - 7*a = -2*a + 30, 0 = w*c + 5*a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12027*b + 3*b**2 - 48107*b + 12025*b + 12031*b + 12024*b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20901?\nAnswer: 3, 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the first derivative of -7*o**6\/900 - o**5\/450 - 34*o**2 + 169. Let p(k) be the second derivative of t(k). Solve p(j) = 0 for j.\nAnswer: -1\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 109*h**2 - 5 - 199*h**2 - 18 wrt h.\nAnswer: -180*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.1 + 1. Suppose 5*s + g + 1692 = 1689, -5*s + 37 = -4*g. Which is the nearest to u?  (a) -4  (b) s  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 103428 and 1020.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -30097200 rounded to the nearest one hundred thousand?\nAnswer: -30100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-63)\/(-18)*5\/((-20)\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 10*r**2 - 3*r + 2. Let d be v(2). Let o be -3 + (-3 - -4) - 5. Let f be 1 + 0 - (-1 + o). Calculate the greatest common divisor of f and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/86 and 1 + -3*(-30)\/252.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4332 - 4883 = -485*l for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/2 - (-45)\/10. Suppose o*n + 0*n = 80. What is the remainder when 45 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**2 + 10*f - 6. Let i be d(9). Factor 1 + 0*h**3 - h**2 - h**3 + h**i - h**3 + h.\nAnswer: -(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 643*k - 29923*k - 14715*k + 3842*k - 53495*k.\nAnswer: -93648*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-19)\/(3724\/(-189)))\/(-2*21\/(-56)).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 204\/5*h + 16 - 198\/5*h**3 - 26*h**4 + 10*h**2 - 6\/5*h**5 = 0.\nAnswer: -20, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/3 greater than 381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 606743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**2 + 3*h + 10. Let y be m(-6). Let z(k) = -14*k + 2. Let w be z(2). Let b = w - y. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7\/4*z**2 + 5\/2*z + 1\/4*z**3 + 0 = 0.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is m in 0 - 4\/5*m**4 - 4\/5*m**5 + 0*m + 8\/5*m**3 + 0*m**2 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-8)\/16)\/1*5*2. Let y = 5 - s. What is the least common multiple of 4 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 3. Let s(y) = -y - 2. Let f be 1\/((-2)\/(-10))*104\/20. Suppose 2 = 12*u + f. Let v(c) = u*a(c) - 3*s(c). Let k(j) = -5*j**2. Determine v(k(m)).\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -3*i - 7. Let p(l) = -l - 4. Let t(z) = -3*n(z) + 5*p(z). Let y(f) = -7*f - 6. Let o(v) = -1. Let m(r) = 5*o(r) - y(r). Determine -3*m(j) + 5*t(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r**3 - 3*r**3 + 2*r**3)*((3*r + 0*r - 2*r)*(-2 + 6 - 1) - r + r + 2*r).\nAnswer: 10*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2 + 4)*23\/((-1725)\/(-50)). Let h(b) be the third derivative of -1\/3*b**3 + 0 + 0*b + 10*b**2 + 1\/30*b**5 + 0*b**m. Factor h(j).\nAnswer: 2*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:51 AM and 9:10 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -5*n + 5910, 4*n - 2*n = 3*f + 2364. Suppose 362 - n = -5*u. Suppose 0 = -5*m - h + 414, -2*m + 2*h = -4*m + u. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 10 - 4 = 0. Let s = h + 0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2566 and 9459559?\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 a factor of 457898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1837, -3673, -5509, -7345, -9181, -11017?\nAnswer: -12853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 923, 1841, 2759?\nAnswer: 3677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7502247 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/1*74\/((-74)\/(-21))*(-2)\/(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -3*o + 13. Find the common denominator of 254\/40 - (-2 - -3) and o\/(-12) + -2 + -1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 1 + -4 + (1 + 21 - 23).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -77, -66, -41, 10, 99, 238, 439, 714?\nAnswer: 1075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:31 PM and 7:21 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 + 3131*z**3 + 3129*z**3 - 9383*z**3 + 3121*z**3 - 8.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 9619 at most as big as 9618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 37588, 37590, 37592, 37594, 37596, 37598?\n\"Answer: 2*c + 37586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3150824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000129195 rounded to 7 dps?\nAnswer: 0.0001292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 - 1. What is the remainder when s(2) is divided by (1 - 1) + 5 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**3 + 15*p**2 - 8*p + 6. Let u(j) = -579*j**2 - 12*j - 2*j**3 - 6*j + 611*j**2 + 9 + 4. Let w(r) = -13*l(r) + 6*u(r). Solve w(s) = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 3*w + 15. Let d be f(7). Suppose -d + 148 = -8*o. Let i = 29 + o. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 849926601 to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes after 2:02 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 901 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -16*b + 8. Let q be t(4). Let u = -19 - q. Suppose -43 - u = -4*h. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -7*t + 3. Let c(a) = 3*a**3 + 2*a**2 - 2*a - 1. Let g be c(t). Suppose 0 = g*j + 2*o - 50, 5*j - 3*o = -48 + 149. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 172977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -59928*s + 59884*s - 239*s**2 + 1 + 232*s**2 to the form p*s**2 + j + b*s and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + -31 - ((0 - -5 - 6) + (-3 - 1)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-7)\/(-14) - (-19819)\/2. Suppose r = 3*b - o - 11995, 5*b = -o + 36495. What is b rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/(-21))\/((1271\/(-4551))\/31).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17 - 10. Let h be 80\/(-280) + (-2)\/(-7). Suppose h*d + d = 6. Solve -n*a + 9*a = -d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 399820677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4\/(-14))\/((-9)\/(-7)). Let d = -665 + 662. What is the closest to 0.1 in 3, h, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the second derivative of 13*k**3\/6 - k**2 - 142*k. Let d(r) be the third derivative of -7*r**4\/24 + 19*r**2 + 5. What is d(v(q))?\nAnswer: -91*q + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-110)\/(-429))\/(220\/66)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, d: 1, c: 1, t: 2}. What is prob of picking 1 o and 1 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20\/(-2))\/(-1*20*(-84)\/70).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.10829961 to three dps.\nAnswer: -0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 140, 133, 114, 77, 16, -75?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 6601583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10 - -22. Suppose 2*f + 4*f = w. Suppose -f*m + 3*u = -89 + 26, -m + 5*u = -49. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 + 6 + (-21 - (-37 - 8))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = 2*c - b - 0*b, -3*b + 36 = -3*c. Let r = -13 - c. Solve -4*a - r*l = 2, 3*a - 5*l + 24 = 55 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (7 - 24) + -3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19168 divided by 4792.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 171434?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n + u = 9 - 3, u + 12 = -4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v - v + 2*v + 6*v - 2*v - 2*v + (2*v - v - 2*v)*(2 - 4 + 1))*(-v + 12*v - 2*v).\nAnswer: 45*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 331, -1, -68, 1, 0.3.\nAnswer: -68, -1, 0.3, 0.5, 1, 331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 36 and 2811726396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = 4*j + 37, j + 3*v = -2*v - 13. Let r = 23 - j. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 - 13. Let o be ((-2)\/v)\/(2\/12). Suppose o*p + 4 = 1. Which is greater: -5\/3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1914 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(9)\/(2*sqrt(432)) - (-1 + sqrt(3) + 2*sqrt(3) + -3).\nAnswer: -71*sqrt(3)\/24 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 21392054 to the nearest integer?\nAnswer: 4625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -21\/5?  (a) -184\/5  (b) -1\/3  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the second derivative of -p**4\/4 + 18*p**3 - 486*p**2 + 39*p - 2. Factor v(q).\nAnswer: -3*(q - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -911 - -916. Solve -d + 10 = -r*o, o + d - 4 = 3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3495 - -3728. Calculate the remainder when m is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 19649144 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -37\/51 + 1\/17. Let d = -165 + 157. Is d at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**5\/4 + 7*b**4\/4.\nAnswer: -b**4*(b - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (42\/28*(-8)\/6)\/(100\/(-1200)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -502*b + 30148 - 30148.\nAnswer: -502*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -26a + -2?\nAnswer: -26c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3837315 and 15557?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 880 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 54?  (a) 4  (b) -4\/3  (c) 3\/25  (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*w + 13*w + 4 = 0. Suppose 10 = u + 2*o, w*o + 0 - 40 = -3*u. Solve 4*y + 3*n = -u, 2*y + n = -0*n - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the first derivative of -325*v**4 - 9*v**2\/2 + 13*v + 2786. What is the second derivative of b(z) wrt z?\nAnswer: -7800*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -4*d + 1. Let g(q) = 11*q - 2. Suppose 3*o = -15 + 6. Let h(j) = o*g(j) - 8*k(j). Calculate h(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17 - 170 + 44 + 2*c.\nAnswer: 2*c - 143","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20 + -12)\/((-204)\/(-60639)*29)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15244 is divided by 1520?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 64 - 45. Suppose 2*p = -4*a + p + c, -2*a + p + 5 = 0. Solve -3*i - 10 = 4*h - 9*h, -3*h - 23 = a*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 40 = -5*l - 3*n, -14 = -l - 5*n. Suppose -20 = -5*z, j - 5*j + 92 = -2*z. Let v = j + l. Calculate the remainder when 39 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1026 + -1016. Solve -6*k + u*k + 4 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f + 51 = -3*f. Which is bigger: 16 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 122, 0.2, 1\/2 in ascending order.\nAnswer: -0.1, 0.2, 1\/2, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2555 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a kilometer in meters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -q - 2*q. Let o be (q + (2 - 13))\/(-2). Suppose -37*f + 39*f = 4. Solve f = -o*i + 18 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2228.25283 - 1550.\nAnswer: -3778.25283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q + 8. Let j be d(-8). Solve 4 = 4*r - j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 115*w = 108*w + 70 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o\/((o\/o**(-4))\/o)*o)*o)\/((o**(-3\/7)\/o)\/o)*o*(o**(-20)\/o)\/o*o**(-12\/7) assuming o is positive.\nAnswer: o**(-114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -8 + 102*a + 12*a**2 + 6 - a**3 - 103*a - 2*a**4 in the form d*a**2 + r + j*a**3 + q*a**4 + m*a and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 411583 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-273)\/(-585))\/(1\/5)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:29 PM and 8:03 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the second derivative of v**3\/6 + 139*v**2\/2 + 177*v. What is the hundreds digit of p(23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**2 - 5*q - 1. Let v be i(6). Let f = -178 - -181. Solve -v*y - u - 5 = 0, -5*y - 5 = -u + f*u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(605) - (2 + sqrt(605))*1) + (sqrt(5) - -5*sqrt(10)\/sqrt(2))**2 + 4.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78 = -3*b + 450. Let t be (-27)\/3*6\/9. Let z be 15\/t*(-128)\/20. Calculate the highest common factor of b and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4521 - -9360. Is q a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the first derivative of -a**9\/10584 + a**8\/2940 - a**6\/630 + a**5\/420 + 4*a**3 + 10. Let l(j) be the third derivative of z(j). Factor l(p).\nAnswer: -2*p*(p - 1)**3*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -190 + y**4 - 38 + 0*y**4 + 4*y**3 + 13 as l*y + c*y**3 + s*y**4 + x*y**2 + g and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 555303317.\nAnswer: 17, 32664901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 209282?\nAnswer: 2, 269, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x = -2*a + 3*a - 9, 0 = 5*a - 5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 741011060 and 2260.\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (174\/203)\/(4\/28).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1919435777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 22 + -11. Suppose -i = -2*t + 21. Calculate the smallest common multiple of (-4)\/(1\/9*-1) and t.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**1\/k*k*k\/(k\/(k**9*k))*k)\/(k*k\/k**(2\/19)*k*k*k*k**10))**15 assuming k is positive.\nAnswer: k**(-825\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 4 + 1)*(3 - 4 + 3)*((-4 - 2 + 4)*(-2*g - 3*g + 4*g) + (-9*g + 2*g - 3*g)*(-4 - 1 + 2)).\nAnswer: 320*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 723 divide 6125979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + (-11 + -15 - -46 - 35)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 166 + -166.4. What is the nearest to 1 in -1\/5, n, 6\/31?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*n + 2*n = -p + 26, 4*n + 23 = 3*p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8789 divided by 8.\nAnswer: 8789\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 v, and 1 n when three letters picked without replacement from eccuqvn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4\/10)\/((-8)\/10). Which is the nearest to u?  (a) -1  (b) 3\/4  (c) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 10?  (a) -6\/11  (b) 14.9  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, 0.4, -26, 0?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4096, -8625, -13154, -17683?\nAnswer: -22212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 8478 (base 13) in base 14?\nAnswer: 698b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*(p*p\/p**1)\/p*p**(-7)\/p)**(20\/11) assuming p is positive.\nAnswer: p**(-140\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (67 - -27)\/(6\/45)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3799607?\nAnswer: 7, 77543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + m - 3 = 0. Let q be (-6)\/(-8) + m\/(-4). Let p = 324.7 + -325. Put q, p, 0.3 in descending order.\nAnswer: q, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 3010, 5537, 12410, 25807, 47906, 80885, 126922?\n\"Answer: 363*x**3 - 5*x**2 + x + 2651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*q - 21 = 38 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.1528 - 0.3472. Let s = 20.87 - 21. Let k = 0.97 - s. Which is the smallest value?  (a) t  (b) 0  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-15)\/5 + 236 + (-3 - -3)?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/8)\/(-3) + (-7)\/(-4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from woeeoseoysewwweowyy. Give prob of picking 1 s and 1 w.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 607.8857 nanograms?\nAnswer: 0.0000000000006078857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15 + 19. Suppose -n*z + 6 = -z, 3*h = -5*z + 85. Suppose 0 = -4*a + 20, m - 5*a + h = -3*m. Which is smaller: m or -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3 + (-32)\/(-4) + -2. Suppose -2*m + 82 = -4*q - 110, z*m = -5*q + 244. What is the highest common factor of m and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -4*v**4 - 2*v**3 - 2*v + 13. Let g(i) = 5*i**4 + 3*i**3 + 3*i - 14. Let x(f) = -2*g(f) - 3*z(f). What is the first derivative of x(w) wrt w?\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (50\/(-55))\/(78\/(-143))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-2)*s**(-10\/7))\/(s**(-5\/4)\/s**(-18)) assuming s is positive.\nAnswer: s**(-565\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 25*k**3 - 2*k**2 + 2*k - 1. Let q = -3 - -4. Let t be u(q). Let b = -759 - -775. What is the greatest common factor of t and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.3592 from 2573.\nAnswer: 2572.6408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve c + 2*m = -3, 0 = 1470794*c - 1470782*c + 3*m + 36 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < 2\/1215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/7 + ((-894)\/105 - -9). Which is the fourth biggest value?  (a) 4\/3  (b) -0.4  (c) -3  (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2097?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 959, 1675, 2401, 3143, 3907, 4699, 5525?\nAnswer: 6391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 + -7 + (0 - (-1 - -3)) + 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 27.4 times -208603?\nAnswer: -5715722.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 12787515977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*b - 11 - 9*b - 6*b - 15*b.\nAnswer: -14*b - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -3*d**2 - 53*d - 2. Let g(a) = -a - 335386 + 335386 - a. Determine l(g(o)).\nAnswer: -12*o**2 + 106*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/(3 - (-17)\/(-6)). Let b = f + -3. Let s(m) = -m**2 + 1. Let d be s(1). Solve -4*w = d, 20 = -6*g + g + b*w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6792, -6129, -5062, -3615, -1812, 323, 2766, 5493?\nAnswer: 8480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.87 - -0.77. Let g = -2.7 - x. Let q = g + 0.1. Which is the nearest to -1?  (a) q  (b) -1  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 2*w = 153809, 3*w = -1 - 5. List the prime factors of y.\nAnswer: 19, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 798370 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n - 57*t = 165, 1 + 1 - 11 = 3*t - 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -122*h + 124*h - 8768 = 0. Calculate the highest common factor of h and 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (54693 - 31*z**2 - 54693)*(-4*z + z + 2*z).\nAnswer: 31*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 20 = 5. Suppose -4*k - 170 = -5*d, 0 = -v*d - 2*k - 2*k + 130. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*x + 2*x + 2 = -n, -2*n + 14 = -5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1300321123 (base 4) to base 15.\nAnswer: 92037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -832679, -832678, -832677, -832676?\n\"Answer: q - 832680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((sqrt(475)*-1)**2 - sqrt(475)).\nAnswer: -5*sqrt(19) + 471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -116 + 230 + 179*p**2 - 128 - 8*p. Is d(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 71885 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-8) - 1584\/2176) + 0\/(-2).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmdmmddmdmdmmdmmmmd. What is prob of picking 3 m?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -92, -89, -86, -83, -80, -77?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11 - -10.92. Is t > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 - 278953*n - 18.\nAnswer: -278953*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2426 or -14557\/6?\nAnswer: -14557\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -0*m + 22. Suppose -k - m = -43. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**3 - 579*k**2 + 2140*k + 92005. Determine g(575).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + n = -1244, 0 = 3*y - 0*y + 3*n - 933. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**2. Suppose 5*z + 10 + 16 = 4*f, -2*z + 2*f = 12. Let y be x(z). Suppose -4*a - 136 = -y*i, 0 = -2*i - i - 4*a + 95. List the prime factors of i.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (5\/(-3))\/((-35)\/42). Let r = -2 + 7. Solve 0 = -r*w - v*t + 7, 5 - 15 = 2*w + 4*t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -111 at most as big as -104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-1\/41)\/(l\/(l\/(l**(-7)*l))))\/(l**(-23)*l**(-11\/3)))**(2\/129) assuming l is positive.\nAnswer: l**(8030\/15867)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(875)\/sqrt(7)*5.\nAnswer: 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 1 = u - 0*u, 2*q = -u - 14. Is q*(-6 - 9573\/15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 95971335 to the power of 1\/3, to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20172.3 + 1231711255.\nAnswer: 1231731427.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21\/2*(-99)\/(-261030)*-113.\nAnswer: -9\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 239520, 239540, 239560, 239580, 239600, 239620?\n\"Answer: 20*j + 239500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i = s + 80, -2*s - 3*s - 2749*i - 1426 = -2696*i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, -4, -701, -0.3 in ascending order.\nAnswer: -701, -4, -0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 95929?\nAnswer: 95929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*s - 3*t + 30, 2*s - 6*s + 32 = 4*t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14104 is divided by 588?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Do 2\/125554721 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 506951 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by -19409079.\nAnswer: 2\/6469693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4471 and -179.\nAnswer: 800309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -2*j**2 - 2. Let z(a) = 2194008*a. Give v(z(k)).\nAnswer: -9627342208128*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*z + z - 3*o + 14, z - 116 + 108 = 3*o for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a millimeter in micrometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p - 4*p + 4*p)*(1 + 2 - 10)*(0 - 2 + 0).\nAnswer: -28*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 40081403 - 0.1\nAnswer: 40081402.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4.9635 + 18.07. Round c to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**3 - 410420*x**2 - 21047361250*x + 842551250000.\nAnswer: -2*(x - 40)*(x + 102625)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 395391723?\nAnswer: 3, 67, 109, 18047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-2\/9)*x**(-8))**(-5\/3) assuming x is positive.\nAnswer: x**(370\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12594 - -37849\/3. Let o = -116\/3 + 28. Calculate the common denominator of v and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.4 and -0.132.\nAnswer: -0.1848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 + -2 + 8)*2\/4. Let r(a) = a - 4. Let j be r(7). Does 8 divide (84\/d)\/(j - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2618, -11766, -27448, -49670, -78438, -113758, -155636, -204078?\n\"Answer: -k**3 - 3261*k**2 + 642*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*o + 42*o - 70 = 0. What is the smallest common multiple of (-6)\/4*(-4)\/3 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**2 + 5*j + 6. Let s be -4 + 4\/8*-6. Let q(g) = -6 + 2*g**2 + 8 + 10 + 9*g. Let o(y) = s*h(y) + 4*q(y). Calculate o(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -15 - 9. Let j(d) = -7*d**2 - 27*d + 35. Let s(v) = -v**2 - v. Let q(o) = -j(o) + 6*s(o). List the prime factors of q(k).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -94283 to the nearest 100.\nAnswer: -94300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**1)\/i)**(-4\/9)*i**(-2\/3)*i**(-3\/10)*(i**(-1))**(-1\/6)\/(i**1)**(7\/6) assuming i is positive.\nAnswer: i**(-217\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k**3 - 2*k**4 + 0*k**3)*(-3*k - k + 3*k) + (-2*k**3 + 2*k**3 + 3*k**4)*(-4 - k + 4).\nAnswer: -k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 920 and 0.8.\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 112\/168 + (-28)\/(-18) + -2. Let -2\/9*p**5 - 2\/9*p**4 + 2\/9*p**3 + v*p**2 + 0*p + 0 = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 5, m: 1, x: 3, o: 1, j: 3}. Give prob of picking 1 n, 1 x, and 1 j.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**2 - 3*l + 30. Let j be k(0). Calculate the highest common divisor of 130 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 2*v = -v + 134, -4*z - 3*v = -142. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a + 3. Give d(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8213.47317ms to weeks.\nAnswer: 0.000013580478125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.4 + -17.4. Let f = v - -20. Which is the biggest value?  (a) -0.5  (b) 0.4  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -57772916136.199993 + 57773985848.2. Let q = f + -1069722. Let l = q + 10. What is l rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1407035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 92043 and 4599?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001475043054 to 6 dps.\nAnswer: 0.001475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z**2\/4 - 28731*z\/2 - 21106855\/4 = 0. Calculate z.\nAnswer: -365, 57827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 121*h**2 - 68*h**2 + 1364*h**2.\nAnswer: 1417*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n = -10 + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 320651 is divided by 858?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 944003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 1286.38 to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/(-5))\/(((-298)\/(-5960))\/(1\/2)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 34*u**2 + 7*u + 10. Calculate the remainder when y(5) is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3.2 + -3. Let p = 94674 - 94670. What is the nearest to 10 in 1, p, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -12 - -290?\nAnswer: 27e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.028 and -2455.5.\nAnswer: -68.754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 76471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 75\/598 and 55\/26.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes before 6:06 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -1 + 2*i - 3*i - 3*i + 6*i. Is t(3) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3380 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 716\/(-537)*((-7)\/(-42))\/(2\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56 is divided by (-6)\/4*(3 - (15 + -4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 4*r + 2. Let j(d) be the third derivative of -3*d**4\/8 - d**3\/2 - 102*d**2 + 5*d. What is 6*j(b) + 14*q(b)?\nAnswer: 2*b + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.96 + -1035010?\nAnswer: -1035010.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 9.1 in -7.189, -4\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**3 - 30*a**2 - 48*a - 2. What are the prime factors of r(32)?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*a**4 - 13920*a**3 + 12931650*a**2 - 4021659720*a + 11948969745.\nAnswer: 5*(a - 927)**3*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + 32 = 4*h, -68*f + 69*f - 20*h = -76 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -61.97 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -128 < -641\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -26*n**2 - 4*n + 4. Let r be v(-4). Let u be r\/(-63) - (-4)\/(-14). Which is the second smallest value?  (a) -2\/3  (b) u  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2632*n - 112915 + 2625*n + 112915.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1856463 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.054175463 and -0.5.\nAnswer: -0.554175463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.16 + 0.23. Let n = y + -2.07. Put n, -0.1, -0.3 in descending order.\nAnswer: -0.1, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -596, -1163, -1694, -2171, -2576, -2891, -3098?\nAnswer: -3179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y - 3*y - 4*y)*(10*y**2 + 2*y**2 - 2*y**2).\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the second derivative of v**6\/10 - v**5\/2 + 3*v**4\/4 - 3*v**2\/2 - 15*v. What is the third derivative of n(u) wrt u?\nAnswer: 72*u - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 + 46 = b. What is the second derivative of -53*m**4 + 2*m - 6*m + b*m**4 wrt m?\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -36 - 3*r**2 + r**2 - 2185*r + 2163*r.\nAnswer: -2*(r + 2)*(r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 13, 33, 53, 73, 93, 113?\n\"Answer: 20*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 176 and 154.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 4*h**2 - 4*h + 4*h - 8 - 2*h**2 + 6*h. Let y be b(6). Round y to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 5 = -t. Suppose -3*x - 26 + 74 = 2*m, 80 = 5*x + t*m. Let h = x + -12. Solve -a = h*a + 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - -63. Let j be (-42)\/z - 7\/(-3). What is the nearest to 0.2 in 1, j, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -2*a + 38, 4*o - 30 - 22 = -3*a. Let y(l) = 71*l - 1. Is y(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2680 times 0.103?\nAnswer: -276.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 101*i. Suppose -68*m + 168 = -96*m. What is the remainder when h(1) is divided by m\/(-16) - 13566\/(-816)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 9.279981 hours?\nAnswer: 33407931.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/17, -4\/5, 3, 191.6?\nAnswer: 191.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -23*d + 3*d - 70 - 10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4225853476.\nAnswer: 2, 13, 719, 113027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((4\/(-32)*20)\/(1\/1))\/(-1)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -36\/11 + -16\/143. Put -3\/2, 2, z in ascending order.\nAnswer: z, -3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 13*q**2 - 170 + 170 + 35*q**6 wrt q.\nAnswer: 4200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.02 + 0.01. What is the closest to -0.2 in -0.5, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 59316751 to the nearest integer?\nAnswer: 7702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 28041 minus 5?\nAnswer: 28036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7865343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8991, -10157, -11323, -12489, -13655, -14821?\nAnswer: -15987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 38*z**5 + 32*z**5 - 3 - 17*z**5 + 4*z**2 wrt z?\nAnswer: 3180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 a when two letters picked without replacement from ddaaddd.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the first derivative of 507*v**4\/2 + 2*v**3\/3 - 1386*v + 1192. What is the derivative of w(s) wrt s?\nAnswer: 3042*s**2 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5814 + 4768 = 22*a. What is the remainder when a is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14744 (base 10) to base 8.\nAnswer: 34630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 + 6. Let r be 2*(0 + (-10)\/t). Let b = 0.09 - -0.11. What is the closest to -2\/7 in b, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, w: 8, e: 1, j: 4, g: 4}. What is prob of picking 1 e and 1 j?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the second derivative of m**4\/12 + 10*m**3\/3 - 21*m**2\/2 - 14*m - 3. Determine h, given that y(h) = 0.\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 45679644 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -6*j - 73. What is h(-5)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 2*f = -30, -218*m = -223*m + f + 15. Let o(n) = 3*n - 3. Let r be o(6). Suppose r = 4*a - a. Solve -m*s = -2*g + 10, s = 6*g - a*g - 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:22 PM and 9:17 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-2\/19)*y**(-2\/3))\/(y*y**(-3\/5)*y*y**1\/y) assuming y is positive.\nAnswer: y**(-619\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u - 2*z + 58, 3*z - 4 = -3*u - 7. Which is the closest to 0.1?  (a) u  (b) 1\/15  (c) -0.01  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3*j - 1)*(3*j - j - j) + (4 - 2 - 3)*(2 + 2 - 6)*(-j + j - j**2) + (0*j + 2*j + 0*j)*(106*j - 95 + 95).\nAnswer: 213*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -4 + 6 + 4 + 6*k + 1. Calculate the remainder when m(6) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -247*f + 1067 - 64 = -479 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-74)\/(-10) + (-4)\/10. Let b(d) = 10*d + 5. Let c be b(u). Let h = -677\/9 + c. What is the smallest value in -0.5, h, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1116992 and 112?\nAnswer: 7818944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-3\/11)*r*r)**(-2\/113)*(r**(-30))**(-32))**(-2\/25) assuming r is positive.\nAnswer: r**(-2386484\/31075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14173*h + 14171*h - 4 + 4.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 522727 is divided by 184.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.03?  (a) -3  (b) -40.0304  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f**3 - 6*f**2 + f. Give a(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 33678801 and 702?\nAnswer: 67357602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -5*w + 30, 2*w + 5*a = 6*w - 27. Suppose 0 = w*g - 277 - 212. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2174, 4350, 6528, 8708, 10890?\n\"Answer: v**2 + 2173*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(-18)*x)**(3\/5)\/((x**(3\/4)\/x)\/(x\/((x\/x**(-3\/8))\/x))) assuming x is positive.\nAnswer: x**(103\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -2937945 divided by -3\nAnswer: 979315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 33199223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -159 + -24. Let l = -184 - z. Which is smaller: 150 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o. Let s be 7\/3 - (-6)\/9. Let n(v) = -2*v + s*v + 0*v + 0*v. Determine c(n(t)).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 14*r - 3. Let c = -1049 - -573. Let q = 473 + c. Let d(x) = 29*x - 7. Give q*d(g) + 7*f(g).\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 713 and 60203581.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k**2 - 441246*k + 16224836043 = 0. What is k?\nAnswer: 73541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, -1, -10 in ascending order.\nAnswer: -10, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 + 17. Let d be (4 - t)*5\/(-165). Is d at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes after 10:33 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*j**2 + 11*j**2 - 1 - 3*j - 2*j**2 - 2 in the form i*j + r*j**2 + a and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 585 - 575. Solve a*m + 33 = -17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0007988236 rounded to 7 dps?\nAnswer: 0.0007988","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the third derivative of -r**6\/120 + r**5\/12 + r**4\/8 - 2*r**3\/3 + 6*r**2. Let q be s(4). What is the highest common factor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(14) - (sqrt(126)\/(sqrt(36)\/sqrt(4)) - sqrt(14)) - sqrt(14))\/(sqrt(567)\/sqrt(9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 63\/76 and -75\/208?\nAnswer: 3952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**2 - j - 24. Let h(i) = -i**3 - 28*i**2 - i - 28. Suppose 3*u - 691 = -5*t, -3*u + 2 + 4 = 0. Suppose 3*g = 53 - t. Let w be h(g). What is d(w)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes before 12:30 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 235517 and 705?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 398*f**2 - f + 27. Let d(x) = -2*x**2. Determine s(d(z)).\nAnswer: 1592*z**4 + 2*z**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -9306*p + 2026. What is the tens digit of h(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 15 + -13634515?\nAnswer: -13634500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 10, p: 9}. What is prob of picking 2 g?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lllljjijjj. What is prob of picking 2 l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f**2 + 7*f + 8. Let n be t(-6). Suppose -n + 3 = -s. Let k(i) = -i**3 + 0*i**3 - i**3 - i. What is k(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 0.18  (b) 0  (c) 0.1  (d) -3  (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-108)\/525 + 6\/21?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -30*a + 531. Suppose 0 = -a*k + 12955 + 24088. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 785467.\nAnswer: 59, 13313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12056, -9629, -7202, -4775, -2348, 79?\nAnswer: 2506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide 2460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + (-9 - 7) - (-3 + 4 + -3).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 65 - 63. Suppose i*b - 8 = -2*u, 13 = -3*b + 5*u + 1. Let j = 113 + b. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-168*w - 1 - 172*w + 71*w**2 + 338*w)*(3 + 0 + 1)*(13 - 13 - 15*w) as d*w**2 + v + z*w**3 + s*w and give s.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*o + 10, -o - 6 = -4*p + 2*o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3.8 + -0.8. Let d = 366 - 527.8. Let m = 162 + d. Which is the nearest to m?  (a) 0.3  (b) -0.01  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -165 + 52 + 26 + 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 22402 - -e?\nAnswer: 22410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 36\/352*(-56)\/(-6) + -294 + 293?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 q when two letters picked without replacement from {r: 13, b: 1, g: 2, q: 3, z: 1}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (30*j + 34*j + 3*j)*(j + 0*j + 0*j) in the form z + i*j + g*j**2 and give g.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -6919545 (base 10) to base 16\nAnswer: -699579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1289326?\nAnswer: 2, 73, 8831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 3*t + 2 = 2*q, 2*t = -3*q + 5. Let z = 0 + q. Let n = 10 - 8. Calculate the greatest common divisor of z and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**3 - 4*u**2 - 4*u - 1. Let x be g(5). Suppose 0*l = -x*l. Solve 4*q + 0*q - 4 = l for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -140574 take away 17.873?\nAnswer: -140591.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*u - 3545 = -10*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the third derivative of -a**4\/4 - 5*a**3 - 16*a**2. Let k(m) = m. Let l(x) = -3*k(x) - v(x). Does 14 divide l(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*h - 3*h + 20*h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 3 l when four letters picked without replacement from {d: 3, q: 1, y: 2, l: 4, s: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -178.\nAnswer: -1\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z = 3*z + 33. Let b(q) = 4*q + 1. Calculate b(z).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-30)\/45 + (-22)\/(-6). Suppose 0 = -3*v - v + 8. Let i be (1 - v)\/(1 + -2). Solve -t = -3*c + i, -5*t = o*c - 0*t - 31 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes after 6:42 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*p - 13*p + 4*p + 72 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r and 2 t when four letters picked without replacement from {t: 11, r: 3, b: 1}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2345936*i - 2186027?\nAnswer: 2345936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1712496.\nAnswer: 2, 3, 35677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -21703*k**2*p**2 - 13*k**2 + 2*k*p + 1761445*p**2 wrt k.\nAnswer: -43406*k*p**2 - 26*k + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) -293  (b) 291\/4  (c) 4  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 51383 (base 14) in base 2?\nAnswer: 101111101111000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -2*l**3 + 4*l**2 - 15*l + 62. Let f be v(7). Let o = f - -548. Solve -33*p = -30*p - o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hqhwwhqhhzhwrqrqhz. What is prob of picking 1 w and 1 q?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -12\/61 at least as big as 1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 74\/5 of a meter in millimeters?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -6*w. Suppose -3*r = -3*v - 78, -2*r + 6*r + 4*v - 112 = w. What is the units digit of (-4)\/(3\/(r\/(-6)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-62)\/155*10\/80.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3.76 - 1.59. Let m = 0.17 - u. What is the nearest to m in 1\/2, 2\/7, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 6868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.03 + 0.41. Let q = x - 0.18. Let z be (-170)\/24 - -7 - (-2)\/6. What is the nearest to -0.2 in 4, z, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the third derivative of z**6\/60 + z**5\/20 - 45*z**2. Suppose -20 = 2*r - 6*r, 0 = u + r - 3. Calculate p(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -122 = 4*s - 102 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n + 4 = 4*w, 28*w = -4*n + 23*w + 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 + -5. Let t be (-5 + 6\/3)*w. Is 15\/t*-18 - 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4748181450.\nAnswer: 2, 3, 5, 31654543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the third derivative of m**7\/490 - 2*m**6\/5 + 1727*m**5\/70 - 318*m**4 + 25281*m**3\/14 + 1107*m**2. Let u(g) = 0. What is g?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*z - 2*b + 16, 28*z - 31*z + 3*b = -18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {w: 4, g: 1, x: 8, s: 3, y: 2, v: 2}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3036749?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1089.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbbbbbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -192 + 90 + 112 - (-34 + 1).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*y - 4*y + 0*y + (-183478 + 1300*y + 183478)*(2 + 3 + 2) as q + m*y and give m.\nAnswer: 9098","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - (-9 - 2)) + (-6 - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y + 7*y - 87. What are the prime factors of y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (193 - 92 - 77)*(-2 + 1 + 3)*(-5*w**2 + 0*w**2 + 3*w**2) in the form x*w**2 + g*w + n and give x.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*s + 3*p - 21 = 0, 4*p + 559 = 2*s + 573 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 309*i + 3074. Give y(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/88 and 107\/484.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 13339092307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9 and 1062?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, w: 1, y: 1}. What is prob of sequence ty?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bmm when three letters picked without replacement from {b: 3, m: 6, t: 6}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -433\/56 + 6\/7. Let r = -962 + 6695\/7. Calculate the common denominator of a and r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the second derivative of -341*d**5\/10 - d**4\/2 + 1481*d**2 + 58*d - 11. What is the derivative of m(r) wrt r?\nAnswer: -2046*r**2 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/3135 and 34\/97185.\nAnswer: 97185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 143\/12060 and -31\/289440.\nAnswer: 289440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is c in 9*c**3\/2 + 1134*c**2 + 2249*c\/2 - 1255 = 0?\nAnswer: -251, -5\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 46359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (75\/1710)\/((-504)\/21 - -19).\nAnswer: -1\/114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1307222269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(1 + sqrt(192))*2*-2 + 2)**2 + -2 + -3.\nAnswer: 3584*sqrt(3) + 49343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8781 + -8784. Sort 0, y, 1, -36 in descending order.\nAnswer: 1, 0, y, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s + 2*v, s + 4*v + 7 = 1. Let q be s\/(-9) - (0 + 50\/(-144)). Suppose -2*f = f. Is q less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 times 6967?\nAnswer: -83604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -3018, 226, 12.\nAnswer: -3018, 0, 12, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.03, -46, -3, -0.1, 0.4?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 53597?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(225) + -1*sqrt(225)*-3))\/(5*(sqrt(5) + sqrt(25)\/(sqrt(20)\/sqrt(4))))*-4.\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(156)*-2 + sqrt(156))*-3)\/((sqrt(12) - sqrt(192))*6*5).\nAnswer: 7*sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**2 - 300*s - 1232.\nAnswer: 2*(s - 154)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 54.0999nm?\nAnswer: 0.0000000000540999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 55\/63, 0, 0.1?\nAnswer: 55\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 - -112?\nAnswer: 10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -35\/6  (b) 28  (c) 3  (d) 1\/11  (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3842993*s**3 + 17*s**2 + 414825*s - 131 wrt s?\nAnswer: 23057958*s + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -5 + -19621.9\nAnswer: -19626.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from kbkkwkwwb.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k + 3*m - 2643, -12*m = -k - 9*m + 2601. Is 23 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 159643 is divided by 214.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/((t*t\/t**(3\/4)*t)\/t))**(-31)*(t\/(t\/(t\/(t\/((t*t\/(t*t\/(t**(-6)\/t)*t*t))\/t)))))\/t*t**(-7) assuming t is positive.\nAnswer: t**(-41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/5326  (b) -0.2  (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/4*(-39)\/(-26). Let s(j) be the first derivative of -3*j - 2 + 1\/2*j**3 - l*j**2. Factor s(u).\nAnswer: 3*(u - 2)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l**2 + 5*l**2 - l**2)*((2*l + l - l)*(3*l - 5*l + l) - 77*l**2 - 8*l**2 + 14*l**2).\nAnswer: -146*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -l - 1, 5*a - 2*l - 13 = 0. Let n be 400\/(5 + -3 - a). Suppose r = 6*r - 5*w - n, -3*r + 252 = 3*w. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-12)\/(-8)*(-24)\/9. Let t = 6 + u. Suppose -3*h + 1 = -2. Do h and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1249.\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mwc when three letters picked without replacement from zcwcmmzzmzzczmic?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4883644, 9767281, 14650918, 19534555, 24418192, 29301829?\nAnswer: 34185466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -6*q - 3. Let x(l) = l**3 - 4113*l**2 + 30*l + 1071. Let w(u) = 5*r(u) + x(u). Differentiate w(j) with respect to j.\nAnswer: 3*j**2 - 8226*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*y = -23*y + 75. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*w - 31*w = -300. What is the greatest common factor of w and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -6*r + 10. Suppose -r*a + 0*a = 4. Is ((-55)\/a)\/(5\/10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n - n = -4*f + 21, -n = 3*f + 20 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(117)*-6 + 4 - sqrt(117)) + 2 + 5*sqrt(117) + -5)**2.\nAnswer: -12*sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence clcc when four letters picked without replacement from cclllcccclllc?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 389367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -54 - -59. Let f be (12\/48)\/(4\/(-32)). Sort 1, t, f in decreasing order.\nAnswer: t, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21766?\nAnswer: 2, 10883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c + c + 3*c)*(-7*c - 5*c - 8*c)*(-15*c**3 - 4*c**3 + 4*c**3) + 0*c**5 - c**5 - c**5 + (-2 + 4 - 1)*(0*c**5 - c**5 + 0*c**5).\nAnswer: 297*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.147330302 rounded to 4 dps?\nAnswer: 0.1473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -712808 (base 9) to base 4\nAnswer: -1213002002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**2 + 7*m - 107. Calculate y(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in 1\/6, 2720.5, -1\/36?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 149 and 65796463.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 392555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes before 8:18 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 83247279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 46 + -28. Suppose -3*p + o = 3*k, -3*k + 4*p - 7 = 3. Solve 2\/5*t**k - 6\/5*t + 4\/5 = 0 for t.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -420.42 + 421. Let g = -0.5 + a. Is 16\/7 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 46*h*i**3 + 528*h*i**2 - h*i + 2731*h + 3*i**3 - 3*i**2 - 2*i - 14 wrt i?\nAnswer: 276*h*i + 1056*h + 18*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 10864354481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10 + -4. Suppose 0 = -t - s*t + 49. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -g + g**4 - 19 + 14 + 7 + 10*g**3 in the form t*g + x*g**2 + k*g**3 + o*g**4 + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44806*c - 27324 = -45818*c for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 341 is divided by 136.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5858 and 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 435102 and 5139.\nAnswer: 1305306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 483*r + 12525 - 21831 = 51*r + 42966 for r.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 448*u - 1. Let x(z) = -895*z + 1. Let f(w) = -7*t(w) - 4*x(w). Is f(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -6*b. Let q(v) = 7*v + 6. Let f(h) = h - 2. Let z(k) = -3*f(k) - q(k). Determine z(u(l)).\nAnswer: 60*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33 divided by -232685.\nAnswer: -33\/232685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6689 is divided by 3288.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 13b6807 (base 14) in base 7?\nAnswer: 144313410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of -10 and -640.81722055799.\nAnswer: -650.81722055799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(180*(-42)\/952 - (-16)\/2)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1266 - 353 = 83*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28\/(-98) - 6134\/(-7).\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 4 + 0)*(-2 + 2 - 11*s) as l*s + y and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Do -33613 and -33611 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3 + 2)*0*4\/8. Let p = 30 + -56. Let f be 20\/(-14)*14\/p. Is f at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 times -267841\nAnswer: 1607046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-130)\/312)\/((-2)\/(-4)))\/(115785\/6723)?\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -19.25 + 0.65. Let v = c + 3.6. Let b = v - -15.00000009. What is b rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes before 5:17 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 444, -7, -3, 4, -8 in ascending order.\nAnswer: -8, -7, -3, 2, 4, 444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the second derivative of m**7\/2520 - m**5\/60 + m**4\/4 - m. Let q(n) be the third derivative of k(n). Differentiate q(x) with respect to x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 2 - 2)*(-12 - 24 + 44)*(-2 - q + 2)*(-26 + 42 + 10 - 2*q**2) as l + p*q + k*q**3 + c*q**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 PM and 11:48 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53036?\nAnswer: 2, 13259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 8991 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ufuzfufccnqufz. What is prob of picking 1 c, 1 q, and 1 n?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 + 783?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p*p**(-2\/9)*p)\/p*p)\/((p*p\/(p**(-23)\/p))\/p) assuming p is positive.\nAnswer: p**(-200\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2397987458.\nAnswer: 2, 26777, 44777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 11*f**6 - 5*f**4. Let a be -1 + 6\/(-4 + 5). Let x(p) = 12*p**6 - 6*p**4 + p**2. Let g(d) = a*x(d) - 6*i(d). Find the third derivative of g(n) wrt n.\nAnswer: -720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/1496 in -1, 4, 1\/6, -0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**(-1))**(5\/3)*(((v*v**(-13)*v)\/v)\/v)\/v**(-5\/4))**31)**11 assuming v is positive.\nAnswer: v**(-54901\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -14  (b) -2  (c) -2\/7  (d) -8  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the first derivative of -7 + 1\/12*w**6 + 1\/8*w**4 - 3\/10*w**5 + 1\/2*w**3 + 0*w - 1\/2*w**2. Solve d(l) = 0 for l.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.18763 - -0.68763. Sort 3, 5, 1, w, 72\/7 in decreasing order.\nAnswer: 72\/7, 5, 3, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 6848040 a multiple of 298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 252635699 is divided by 63158924?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:05 PM and 9:38 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000244459 to five dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*f - 12 = 40*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 186 is divided by 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 + 7*q**2 + 8*q + 5. Let g be i(8). Solve 4*n - 2*s = -g*s + 16, s - 1 = 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -2*c**3 - 92*c**2 + 4*c + 4. Let r(d) = 9*d**3 + 455*d**2 - 22*d - 21. What is 11*f(i) + 2*r(i)?\nAnswer: -4*i**3 - 102*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of 530 and -626.412.\nAnswer: -331998.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 88314087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 800\/(-16) + 10 - 130256\/(-3256)?\nAnswer: 2\/407","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c**5 - 856*c**4 + 59044*c**3 - 1369936*c**2 + 2566144*c - 1254400 = 0.\nAnswer: 1, 56, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -270*u**4 - 41*u**3 - 5717*u wrt u?\nAnswer: -3240*u**2 - 246*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9 + 2. Let a = y + 12. Find the third derivative of 3*b**a - 3*b**4 + 3*b**4 + b**5 - b**2 wrt b.\nAnswer: 240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 7*c**2 + 146*c + 279. Calculate y(-21).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the third derivative of 68*f**7\/105 - f**6\/12 + f**5\/30 - 319*f**3\/6 + 820*f**2 + 2*f. What is the third derivative of a(n) wrt n?\nAnswer: 3264*n - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-295*i + 63995 - 63995)*(-117 + 2 - 36 - 84 + 5).\nAnswer: 67850*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19*a**2 + 7*a**2 + 11*a**2)*(33*a**2 + 107*a - 107*a).\nAnswer: 1221*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 6, 363, 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9451 + 10223. What is the remainder when x is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -9*g + 6. Let m(a) = -14 - 7 + 21*a - 8 - 2*a + 18. Give 6*m(f) + 11*v(f).\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**2 + 5*m + 4. Let k be b(6). Is k bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**3. Let g = 5 + -2. Let i be ((-6)\/8)\/(g\/(-24)). Let u(z) = 2*z**4 - 4*z**3 - 2*z**2 - 2*z. Let x(a) = i*j(a) - u(a). Factor x(c).\nAnswer: -2*c*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*s**3 + 2*s**4 - 3*s**3 + (3 - 3 - 2*s**3)*(33*s + 24*s - 48*s) as v*s + l*s**2 + p*s**3 + k*s**4 + u and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -636*w. Let s(h) = 83*h - 37*h - 29*h - 20*h. Calculate u(s(t)).\nAnswer: 1908*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -5*p**4 - 25*p**3 + 340*p**2 - 900*p + 720 = 0.\nAnswer: -12, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 minus 0.377358844751?\nAnswer: -3.377358844751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.1 - -0.1. Let h = 8.8 - 8. Let w = i + h. What is w rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -q**3 - 69*q**2 + 520*q - 912 = 0.\nAnswer: -76, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (82720\/990)\/94*-72.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 951 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 409711433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 89365 and 222040?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -612*a = -582*a + 30 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 283, 678, 1329, 2230, 3375?\n\"Answer: -b**3 + 134*b**2 + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7185 + -7177. Suppose -4*c + 26 = 2. Solve c*x - 16 = j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from xuwuucdwdcwwwuxdyw.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3*((2 - -1) + 40\/(-15)). Suppose 5*b - 2*b - 42 = 0. Does 21 divide (k + -19)*b\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-9))\/(5\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-60)\/(-1674)*-93)\/(2\/(-42)*1\/(-1))\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -2*m. Let g(j) be the first derivative of -j**2 - 4. Give n(g(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1769*k + 1774*k - 35 = 2*v, -2*v - 15 = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 13, 20, 27, 34?\n\"Answer: 7*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s - 70 + 39 = -34 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -7 + 3 + 1232*o + 4 - 2106*o in the form y + r*o and give r.\nAnswer: -874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4066 - -8844. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 - -6. Let r = 9.8439 - 8.8439. Sort 4, -0.3, n, r in ascending order.\nAnswer: -0.3, r, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17076493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7.6 - -14.2. Let r = i + 1.7. Round r to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -19*a**2. Let x(o) = -11*o**2 - 6*o - 6. Let q(m) = m**2 + m + 1. Let f(j) = 6*q(j) + x(j). Determine n(f(i)).\nAnswer: -475*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -32*o**2 + o. Let b be g(-1). What are the prime factors of ((-121)\/b)\/((-1)\/(-3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**1\/(k*k**(-2\/3)))**(-20)\/(k**8*k**(-2\/9))**(-2\/17) assuming k is positive.\nAnswer: k**(-1900\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ysy when three letters picked without replacement from yysyysyyyy.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the third derivative of p**5\/20 + p**4\/6 + p**3\/6 + 13*p**2. Does 10 divide m(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 121420747?\nAnswer: 7, 17345821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-30)\/(-12)*-1)\/((-1)\/2). Suppose -f*d + 80 = -30. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**6 + 2*a - 2*a + a**3 + a**2 + a**3. Let h(t) = -t**3 - t**2. Let s(i) = 2*h(i) + o(i). Find the third derivative of s(b) wrt b.\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -251 + 351. Suppose -9*l + g = -5*l. What is the remainder when 169 is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18884, -37764, -56644, -75524, -94404, -113284?\nAnswer: -132164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s = -2*s + 50. Let j be ((-2)\/2)\/((-5)\/s). Is (12 + j)*112\/20 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -672*v + 253981. Give n(378).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes after 7:20 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 4944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f**2\/9 + 17728*f\/9 - 39285248\/9 = 0. What is f?\nAnswer: 4432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -530*m**2 + 138328*m + 555. Calculate d(261).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-16)\/24 + (-26)\/(-3). Suppose -4*u = -2*z - b, -u = -3*u - 5*z - 8. Let n(a) = 10*a + 1. Determine n(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/4 of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9*((-650)\/117)\/10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -2*a**5\/13 + 960*a**4\/13 + 106612*a**3\/13 - 782376*a**2\/13 + 1241086*a\/13 - 43560 = 0.\nAnswer: -99, 1, 5, 572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 4*c + 5 = 1, x - 4 = -c. Suppose 2 = x*l + 18. Let u be (-4)\/l - 1\/2. Which is smaller: 3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3282*z**3 - 1644*z**3 - 1645*z**3 + 59*z**2 - 59*z**2.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + -38 + 34 + 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-465)\/62*4\/6. Let b = 239 + -238.8. What is the closest to 0 in -2, f, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**2 - j. Let b(w) = -9*w**2 - 33*w. What is -b(q) + 6*r(q)?\nAnswer: 3*q**2 + 27*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 46921765.25 rounded to the nearest one million?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13*n - 5*n**5 + 27 - 26 - 12*n - n**4 + 21*n + 21*n wrt n?\nAnswer: -100*n**3 - 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 9406104*n**2 - 10416916 wrt n.\nAnswer: 18812208*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 376 or 2\/11?\nAnswer: 376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -329793*h = -329709*h - 1428 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is 246 minutes before 12:24 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39 is divided by 1 + (-6 - -2) - -23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -7*v**3 + 2*v - 2. Let z(t) = 22*t**3 + t**2 - 7*t + 7. Determine -7*l(p) - 2*z(p).\nAnswer: 5*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 - 1041314411?\nAnswer: -1041314414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -126024.999 to the nearest ten.\nAnswer: -126020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 times 0.39?\nAnswer: 8.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 10a73 (base 11) in base 3?\nAnswer: 210212001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and 110571.8.\nAnswer: 11057.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -5*r + 89 + 29, -106 = -4*a + r. Suppose q - k - 240 = -4*q, a = q + 4*k. What is the remainder when q is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 471 = 8*o - 1433. Let z = 227 - o. Sort z, -1, 2 in decreasing order.\nAnswer: 2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-158)\/(-9))\/((-2)\/6). Let q = 52 + z. Suppose 53*k + 109 = -50. Which is the nearest to q?  (a) -2\/9  (b) -5  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20666807 is divided by 1022.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/6)\/(43\/129).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 296 a factor of 25237552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2002134784?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 440 and 378620?\nAnswer: 757240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -3*s**3 - 4*s**2 + 2*s + 8. What is the remainder when v(-6) is divided by -1*2*252\/(-6)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2916\/14980 - (-2)\/(-10). Let p = a - 21641\/14980. Calculate the common denominator of -69\/14 and p.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 10 = -3*n - 17, -2*j = 2*n + 2. Suppose -2*h + 0*u + 68 = 4*u, -5*u + 98 = j*h. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2974817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -10  (b) -0.009  (c) -3  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9678 divided by 6.\nAnswer: -1613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (102*1364\/28458)\/((-2)\/9)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 7, -31355, -2 in descending order.\nAnswer: 7, -2, -10, -31355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = 4*f + 931, -5*t = -3*f - f + 1509. Let q = t + 447. Calculate the remainder when q is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2258 and 346.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 172\/16 + (-1)\/(1*-4). Suppose 6*v + 7 = -h. Let x(p) = 4*p**2 + 6*p + 16. Is 17 a factor of x(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 458676 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n + 4 - 4)*(4*n - 3*n - 2*n) + n + 5*n + 9*n**2 - 4*n.\nAnswer: 10*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -2*s + 9. Let t = -8 + s. Let d = -1 - t. Solve -k = -d*p + 3, 0 = 3*k + 2*k - 5*p for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6263 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u\/((u\/(u\/u**(-7)*u))\/u))\/u*u*u*u*u\/u**(-18)*u)**29 assuming u is positive.\nAnswer: u**957","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-21)\/(-3) - 161\/21\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(-1)*(1 - -2). Let b be 3\/6*(d - -3). Suppose b = -4*i - 4*r - 0 + 4, 5*r = -i - 11. Sort -6, i, -2\/3 in descending order.\nAnswer: i, -2\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -3*c**2 + 4. Let z(l) be the third derivative of -l**5\/60 + l**3\/6 - 857*l**2. Give -f(t) + 4*z(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 133\/171300 and -1\/75372.\nAnswer: 1884300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w**2 - w + w)*(21*w**2 + 50*w**2 - 41*w**2)*(-w - 3*w + w).\nAnswer: 90*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -329326\/38997 + 2\/4333. What is the common denominator of -32\/345 and w?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 180415.\nAnswer: 5, 36083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 5 * 534734\nAnswer: 2673670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 131, 339.6 in ascending order.\nAnswer: -3, 131, 339.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 7*i - 2. Let z(g) = -15*g + 2. Calculate -11*b(l) - 6*z(l).\nAnswer: 13*l + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 82*w + 141 + 567 = -36*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -275, -255, -231, -203?\n\"Answer: 2*x**2 + 14*x - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 11*q**2 + 34*q - 4. Let k(b) = -5*b**2 - 15*b + 2. What is 3*c(u) + 7*k(u)?\nAnswer: -2*u**2 - 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -3*g. Let o be (6\/15)\/((-4)\/(-20)). Suppose -b + o*b = 7. Let x(u) = -2 + b*u + 6 - 4. What is -9*q(d) - 4*x(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 35 + -106\/3. What is the biggest value in -2, -0.04, l?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3\/16  (b) -0.4  (c) -1  (d) 2\/5  (e) 79\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u - 4. Let q be z(-3). Let g(f) = -f**3 - 4*f**2 + 2*f + 4. Let h be g(-3). Let m = q - h. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 640750 and 176614?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a**3 - 2*a**3 + 2*a**3)*(11 - 6*a - 2*a + 10*a).\nAnswer: -4*a**4 - 22*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*k**2 - 2*k**2 - k**3 + (-k + 2 - 2)*(6*k**2 - 3*k**2 + 0*k**2) in the form j*k**3 + d + p*k + r*k**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -9687766 divided by 1?\nAnswer: -9687766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the second derivative of -1\/63*i**7 + 0*i**3 + 13\/45*i**6 + 0*i**5 + 6 + 6*i + 0*i**4 + 0*i**2. Solve h(u) = 0.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-141)\/(-12))\/((-6)\/(-48)). Let k = p - 69. Suppose 26*c - 1361 = k*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-63*(-20)\/(-30)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8 in 0, 342, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*c + 3*g + 49 = 19*c, -5*c + 3*g + 13 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 531346.2 millennia?\nAnswer: 5313462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 5 + (sqrt(19)*-1)**2 + sqrt(19) + -3.\nAnswer: sqrt(19) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the third derivative of x**6\/960 + 2*x**3\/3 - 6*x**2. Let k(r) be the first derivative of c(r). Solve k(d) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 20.7 * 0.49.\nAnswer: 10.143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 2\/13, 152, -2, -157, 1\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q**5\/7 + 92*q**4\/7 + 78*q**3\/7 - 540*q**2\/7 = 0. Calculate q.\nAnswer: -45, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*j*v**4 + 4*j*v**3 - j*v**2 - v**4 + v**3 + 287*v**2 - 9*v wrt v.\nAnswer: -48*j*v + 24*j - 24*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.17 + 0.02. Let m = -0.05 - r. Let z be (-26)\/39*(-3)\/8. Which is the closest to m?  (a) z  (b) -0.2  (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -2*y - 12 + 16 - 3 + 4*y. Give x(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 374 = 4*k - 90. Does 29 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 1\/5, -0.3, 115.44 in decreasing order.\nAnswer: 115.44, 4, 1\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 83 + 22 + -14 + -4 - (-104 + 91)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 31 and 134602.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -491512795 divided by 2.\nAnswer: -491512795\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.08 and 0.66.\nAnswer: 0.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 1 d when three letters picked without replacement from iggigddggigii.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 316*u + 31 = -317*u, -13 = -o - u. Suppose 0 = 5*h - 758 - 837. Calculate the highest common factor of h and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*o**2\/3 + 182430140*o + 4992113397062940 = 0. Calculate o.\nAnswer: -54729042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 174799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the third derivative of -c**4\/12 + 18*c**2. Let a(x) = -3*x. Give a(u(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -2*y. Let b = -68 - -364. Let r(n) = b*n + 290*n - 516*n. Give s(r(i)).\nAnswer: -140*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 - 3. Suppose 5*l - 20 - a = 0. Suppose 105 = l*y - 5*t, -y = -4*y - 2*t + 73. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 490*0.26.\nAnswer: 127.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0\/(-2) - 0)\/2. Solve -2*f - 8 = -g*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 9*g = 21. Suppose -q - g*q = 4, -3*d = 3*q - 72. Solve -d = 3*b - 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -16159, -16019, -15877, -15733, -15587, -15439, -15289?\n\"Answer: x**2 + 137*x - 16297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(-6) - (-37012)\/57. Suppose 4*d + 2*j - n = 5*j, 2*d - 317 = 3*j. Let q = d + -110. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 5*x - 6 = 2*x, 0 = -g - 2*x - 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -90 + 93. Suppose u*j = 25 - 10. Solve -4 = -j*i - 19 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 323762.\nAnswer: 2, 161881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1616, 1623, 1632, 1643, 1656, 1671, 1688?\n\"Answer: f**2 + 4*f + 1611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 - -2. Let g = 58 + -57. Calculate the remainder when t is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the third derivative of -z**5\/105 - 9*z**4\/56 - 3*z**3\/7 - z**2 - 181. Solve y(k) = 0 for k.\nAnswer: -6, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v + 34. Does 12 divide n(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the first derivative of -1\/2*f**2 - 8 - 3*f. Calculate the remainder when 16 is divided by h(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9203*l + 9*c + 85 = -9208*l, 5*c = 3*l - 53 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1211679 to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*p**4\/5 + 453543*p**3\/5 + 3628539*p**2\/5 - 453543*p\/5 - 3628536\/5 = 0. Calculate p.\nAnswer: -8, -1, 1, 151189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*k - 9*k - 12*k - 9*k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -164, 42, -5, 0.7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 25 + 85. Let v = -175 + f. Which is greater: v or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*m - 18 = 21*m. Is (-429)\/(-2) + m\/(-6) + -1 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4468 + -4468. Let t(l) be the second derivative of 0 - 4\/3*l**4 + 20*l - 11\/20*l**5 + p*l**2 + 0*l**3. Find the third derivative of t(z) wrt z.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.26448463 rounded to 4 dps?\nAnswer: 8.2645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**2. Let h(f) = 3*f**2 + 2*f - 1. Let r(n) = -h(n) - 5*y(n). What is r(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -33  (b) 703.5  (c) 69  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 364.52 - 380. What is p rounded to zero dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 43154320 and 58?\nAnswer: 43154320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 613706?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:47 AM and 7:53 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:24 AM and 12:35 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-135 - -124 - (-2 + -11)) + -2 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 4*p + 44. Suppose -p = -3*x - 4*j, -5 = -x + j - 0*j. Suppose x = 3*n - n. Put 0, -5, n in increasing order.\nAnswer: -5, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9 + 42. Suppose 2*p - 3*q - c = 13, 5*p + q = 98. Solve -2 = -3*f - 8, -4*g = 2*f + p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 35424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 95 - 63. Suppose -5*s + 142 + g = l, 4*s + 624 = 4*l. Let p = 64 + l. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 14 and 4612.\nAnswer: 32284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 593236\/224 + -3 + 63\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 117 + -204. Let v = -85 - u. Solve o - v = -7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 219363913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1433 - 1122.6. Let x = y + -286. Let b = x + -9.4. Which is bigger: b or -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 65257.79 millennia in decades?\nAnswer: 6525779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 213 - 210. Suppose 0 = f*h - 2*b - 6, -8*b + 3*b = 0. What is the smallest common multiple of 13 and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 688 minutes after 1:25 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21111 - 112221?\nAnswer: -211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -172\/455 - 2\/91. Let f = -1439.2 - -1439. Which is the nearest to -2\/43?  (a) -5  (b) i  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7 - -4. Solve q + 3 = f + 3*h, f - h - 2 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**3 - 13*h**2 - 8*h + 20. Let y be g(14). Suppose 3*r - 22 - 38 = -4*q, -4*r + q = -99. What is the highest common factor of y and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4056\/507 - 8\/(128\/138).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -1 + 4*n + 1. Let j(c) = -5*c + 4. Let b(s) = s - 1. Let t(m) = 1. Let z(v) = 6*b(v) + t(v). Let u(l) = -5*j(l) - 4*z(l). Calculate u(h(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25\/7*b**4 + 29\/7*b**2 - 9\/7*b**5 - 4\/7 - 3\/7*b**3 + 12\/7*b = 0 for b.\nAnswer: -2, -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 112 + -106. Which is the nearest to r?  (a) 2  (b) 3  (c) -1\/2  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4241 by -10.\nAnswer: 4241\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 3*t + 44. Let v be y(-13). Let u be 3\/9 + v\/45*-3. Solve 3 = 3*a - u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 93 and -86942?\nAnswer: -8085606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**2 + 4*s - 1. Suppose 5*n + 14 = -3*l + l, 2*n - 3*l + 17 = 0. Let v = -9 - n. What is a(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 317264 and 105228?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (56\/21)\/((-4)\/(-15))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -38\/89 and 1 + 219\/41 + (-58 - -52).\nAnswer: 3649","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*r**2 + 479 - 479.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*f - 16033 + 50133. Is 62 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g + c + 0 - 5 = 0, -4*g = c - 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -6.0658+-3\nAnswer: -9.0658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0, 7, 2, -19, -15.\nAnswer: -19, -15, -3, 0, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -46 >= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*j - 35, -37*j + 14 = -4*t - 35*j + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/2080*39*62*1\/(-3)?\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:53 PM and 10:48 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the first derivative of -40*n**3\/3 + 48*n - 3. Let z(b) = b**2 - 1. Let c(f) = d(f) + 48*z(f). Let t(m) = 2*m**2. Calculate c(t(q)).\nAnswer: 32*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -3540, -14167, -31870, -56643, -88480, -127375?\n\"Answer: v**3 - 3544*v**2 - 2*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3230461541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8.4 + -18. Let g = -3.6 - p. Which is the nearest to g?  (a) 4\/7  (b) -1  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 91659987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -586, -1207, -1852, -2521, -3214, -3931?\n\"Answer: -12*x**2 - 585*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -13*n**4 + 61*n**2*r**2 + 302*n*r**2 - 10*r**2 + r wrt n?\nAnswer: -156*n**2 + 122*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 5*x - 36. Suppose -39 = -5*o - 4*w, 3*w + 26 + 19 = 3*o. Calculate the remainder when z(o) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 428 + -438. Let p = -64 + 257\/4. What is the nearest to 0 in p, -2, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2*4\/6 - -2. Let c be 0\/(-3 + 4\/(-4)*-1). Solve 1\/3*l**4 - 1\/3 + c*l**2 + k*l - 2\/3*l**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5101*a + 3 + 2636*a + 2452*a.\nAnswer: -13*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16460 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(27)*-2 - sqrt(324)\/(sqrt(36)\/sqrt(3)))\/((sqrt(27) - (-4*sqrt(81)\/sqrt(3) - sqrt(27)))\/sqrt(3)).\nAnswer: -11*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -8*f - 5. List the prime factors of o(-12).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32 + -14 + -5 + 9 + 24 + -10.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -59.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3539 + 3546. Put -2\/13, a, -40 in increasing order.\nAnswer: -40, -2\/13, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -146*k - 4 - 101*k - 98*k - 98*k - 103*k + 540*k.\nAnswer: -6*k - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 3*b. Let k be i(1). Suppose s + k*s = 168. Suppose h + 2*h = s. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 20 - 5 = -5*s, 3*h - 7 = 5*s. Suppose -3 = -3*g, -h*k - 25 = -k - g. Let d = 3 - k. What is the remainder when 41 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 644 by -14.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2805, 5546, 8289, 11034, 13781, 16530?\n\"Answer: a**2 + 2738*a + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7394 is divided by 86.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -44 + 43.34. Let q = o - -0.66118. Round q to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/153, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y**3 + 3*y**3 - y**3)*(-1705 - 8558 - 7612 + 169 - 7577).\nAnswer: 25283*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11)\/(-52) + ((-22872)\/208 - -110).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/1543, 2, -0.2, 1, 4 in ascending order.\nAnswer: -0.2, 4\/1543, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (7 + -11 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 556047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7 - 3. Let i(a) = a**2 + 2*a + 1. Let k(x) = -x. Suppose -y - 4*z = -0*z - 9, 0 = -4*y - 2*z + 8. Let r(g) = c*k(g) + y*i(g). Factor r(t).\nAnswer: (t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*n = -5*n - 3*u, 0 = -6*n - u + 28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -5) + (8 - 13)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*l**3 - 177 + 86 + 91 + 686*l + l**3 as k + v*l**3 + h*l**2 + a*l and give a.\nAnswer: 686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 8 = -2*l, -22 + 9 = -w + l. Let b be (-31)\/(-7) - (-9)\/(-21). Solve -b*u - w = -k - 6, k = 2*u + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 150475135?\nAnswer: 5, 1423, 21149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*c = -12*c. What is the remainder when 143 is divided by -2*(-60)\/(c - -5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000006653749 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**2 - 106*x - 107. Let q be t(-1). Solve -2*w + 5*p - 15 = -q*p, -w = 3*p - 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1791037 by -4.\nAnswer: -1791037\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w + 4*w + p + 62, w + 6 = -4*p. Let l be 55\/w*(2 + 6\/5). Is -64\/7 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1482 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*l - 2 = 14*l. Let s be (-1)\/2*l*5. Let n(k) be the third derivative of -k**5\/60 + 7*k**4\/24 - 5*k**3\/6 - 2*k**2. Give n(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 224401 and 0.2?\nAnswer: 224400.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -31447, -62831, -94215, -125599?\n\"Answer: -31384*z - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 1622*k + 8107. What is d(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**3 + 11*v**2 - 3. Suppose -4*z = -3*b - 11 - 36, -3*b = 4*z - 17. Let j be l(z). Let c = -8 - -29. Calculate the highest common factor of j and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**3 + 11*v**2 + v + 15. What is the remainder when i(-10) is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 42 + -58. Does -3 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -0.5  (b) -1.28  (c) -1397\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 49.3 + -49. Which is the biggest value?  (a) 2  (b) k  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 83.7 + -106. Let k = v + 23.3. Which is the nearest to k?  (a) 0.2  (b) 5  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 9*d**3 + 5*d**2 - 6*d + 6. Let k(t) be the second derivative of -t**5\/2 - 5*t**4\/12 + 7*t**3\/6 - 7*t**2\/2 - t - 197. Give 6*k(u) + 7*z(u).\nAnswer: 3*u**3 + 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, -5, 1.\nAnswer: -15, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 169 is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -311521 (base 8) to base 11.\nAnswer: -70633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1197217 and 29043?\nAnswer: 10774953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 1\/5  (b) 201  (c) 0.4  (d) 77\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (252\/(-70))\/(369\/(-2870))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, -3\/391, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 1481*z**2 + z + 1. Is i(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the second derivative of 1\/20*i**5 + 3\/4*i**4 + 0 - 4*i**2 - 29*i - 1\/6*i**3. What is t(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10101 (base 3) to base 11.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y + 5*y + 3*y)*(-5 + 5 + y**2) + (-1051*y**2 - 110*y**2 + 396*y**2)*(-2*y + y + 3*y).\nAnswer: -1525*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 289 + -127 - (5 + 18 - 0)\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20112100120220102210 - -11?\nAnswer: -20112100120220102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.05?  (a) 23\/102078  (b) -0.4  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 70 or 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 4*o + o - 70, -28 = -3*o + 4*p. Let b = -6 + o. Suppose b = 3*l - l. Solve -3*w - 3 = l*u, 2*u + 16 = -w - 2*u for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 32 + -185. Let b = k - -152. Let y(p) = 3*p + 2. Let t(h) = -h. Give b*y(g) + t(g).\nAnswer: -4*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 21\/18 - 1 - 17\/(-6). Suppose 6 = -4*j - 10, 0 = -2*m - x*j + 9914. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(10) - (2*sqrt(1000) - sqrt(1000)))\/(sqrt(242) - (sqrt(242) + sqrt(242) + sqrt(242)*3)).\nAnswer: 9*sqrt(5)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-22)\/10 + (-2)\/(-10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3877843 is divided by 104?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1526 + -1524. Let b(t) = -t. Let p(j) = j**2 + 4*j + 2. Let w be p(-3). Let v(m) = -m - 1. Calculate n*v(a) + w*b(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1093613 - 6*p + 2*p + 1093607.\nAnswer: -4*p - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 29400 - 29187. What is the highest common factor of 9727 and r?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 230763 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in f**2 + 772644 - 772644.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 43.22595 centuries to decades.\nAnswer: 432.2595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 2 p when three letters picked without replacement from pgrpcg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -157\/2  (b) 3  (c) 0.18  (d) 2\/17  (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 5*u = 15. Suppose 2*j + 1 = u, 3*v + 5 = 5*j. Round v to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1005807 and 957?\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (17\/(-11) + 1)*4*(-24)\/144.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -24 - ((-47)\/(-9) + (-30)\/135).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vp when two letters picked without replacement from {v: 2, p: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15.8 + 16. Let x(d) = 3*d**3 - 10*d**2 + 56*d - 21. Let u be x(5). Which is the third biggest value?  (a) -0.2  (b) u  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaaqqaaaaaqaaqaqaq. What is prob of sequence qqq?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the second derivative of -x**6\/195 - 62*x**5\/13 - 47426*x**4\/39 + 9920*x**3 - 29952*x**2 + 2813*x. Factor z(i).\nAnswer: -2*(i - 2)**2*(i + 312)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (17\/8 + (-60)\/480)*(-2)\/52.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -163 - -162. Which is the third biggest value?  (a) t  (b) 1  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65 = 2*n - 7*n. Let j(b) = b**3 - 26*b**2 + 29*b - 76. Let d be ((-15)\/6)\/(-5)*(53 + -3). Calculate the remainder when j(d) is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*a**5 + a**5 + 0*a**5 - 2*a**5 + 0*a**5 + 0*a**5 + 2*a**5 - 3*a**5 - a**5 + (-a**2 + 2*a**2 - 2*a**2)*(-a**3 - 2*a**3 + 4*a**3).\nAnswer: -6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wcj when three letters picked without replacement from {v: 1, c: 2, i: 1, t: 2, w: 2, j: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the first derivative of -p**4\/4 + 8*p**3\/3 - 4*p**2 + 30*p - 61. Let a be r(7). Which is greater: a or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21377930.\nAnswer: 2, 5, 7, 29, 10531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 297733 minus 4483.5?\nAnswer: 293249.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j = 10*w - 14*w - 20, 0 = -2*j + w + 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10.9 - 11. Which is the third biggest value?  (a) -0.4  (b) y  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -28\/9 in 7\/5, 2\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 79.\nAnswer: 4\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 77.68 - 80. Let q = 112.32 + t. Let l = q + -110.081. What is l rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-31)\/31*(-47 - -1). Calculate the greatest common factor of g and 667.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 - 117 + 63 = -10*d. Put 2, -2, 5, d, 11 in descending order.\nAnswer: 11, d, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-18)\/(m*m**(2\/29)*m*m))\/(m**(4\/9)\/(m*m**(4\/9)*m)) assuming m is positive.\nAnswer: m**(-553\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1160 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.5000025 - 0.5. Round l to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-650)\/(10 - 5) + (-4)\/2. Let x = 132 + i. Factor 0*m - 2\/7*m**3 + 0*m**2 + 2\/7*m**4 + x.\nAnswer: 2*m**3*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*v**2 + 2937000*v + 14684900.\nAnswer: 4*(v + 5)*(v + 734245)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:29 PM and 9:45 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -f**2*y**2 + 26*f*y**2 + 177*f - 9624*y**2 - 2*y wrt f.\nAnswer: -2*f*y**2 + 26*y**2 + 177","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**2 + 15*f - 19. Determine m(12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 516 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 45600049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.39 times 0.5?\nAnswer: -3.695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.88 and 4?\nAnswer: -7.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24529?\nAnswer: 19, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-77)\/(-14))\/((-1)\/(-2)). Suppose 0 = -5*u - 9 - p. Let k = 10 + u. Calculate the least common multiple of k and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3182 - 1562 = 20*k. Suppose 4*g - 48 = 2*g. Suppose 3*m + 8 = -4*x + k, -x + 5*m + g = 0. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 18*o + 8. Is q(9) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -16789*s**3*z**2 + 3*s**3 + 341*s*z**2 + 9*s wrt s.\nAnswer: -100734*s*z**2 + 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 352455 and 30.\nAnswer: 704910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*d**2 - 5*d**2 + 2*d**2 + (2*d + 1 - 1)*(2*d - 7*d + 3*d).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/45 and -89\/142675350?\nAnswer: 428026050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 168*q**2 - 12768*q - 6. Calculate n(76).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the second derivative of n**4\/6 - n**3 - n**2 + 13*n. Give z(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -673, -1357, -2047, -2743?\n\"Answer: -3*q**2 - 675*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -131 bigger than -392\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 359416 is divided by 21604.\nAnswer: 13752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.078 * 29109\nAnswer: -2270.502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of (-32)\/(-20)*380\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7651.11nm to centimeters.\nAnswer: 0.000765111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do 2535 and 2538 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1840 and 180688.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24 and 28230.\nAnswer: 112920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + y - 24 = 0. Let z(w) = w**3 + 7*w**2 + 7*w + 6. Let q be z(y). Suppose -5*f + q*f = -110. Calculate the least common multiple of 22 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11118 + 11118.57. Put -0.2, -0.07, -1, d in decreasing order.\nAnswer: d, -0.07, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3193*w**2 + 78412*w.\nAnswer: -6386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -1027058.\nAnswer: -2\/513529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 5 = 0, 2*j + 5*u = -j - 4. Let a = 0.7 + -0.4. Let m = 10673.5 + -10674. Sort m, a, j in decreasing order.\nAnswer: a, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (2 - 8) + (2 - 3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 791?\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 214618327?\nAnswer: 7, 11, 2787251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 2290.414cm?\nAnswer: 22904140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 50 = -2*o, 2*k + 3*o - 55 = 4*o. Calculate the highest common divisor of k and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-4)*12\/(-63)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -131117*t + 524464. Calculate f(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 684 = 2*s, 3*z + s + 0*s + 508 = 0. Find the common denominator of 53\/14 and (z\/42)\/((-6)\/(-7)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes after 1:33 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add together 443092 and -3.\nAnswer: 443089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 8 = -2*z. Suppose 3*m = 3*u - 0*m - 45, z*m = u - 24. Let x = 21 - u. Calculate the smallest common multiple of x and 23.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/3*6\/4. Let a be 192\/40 - (l - 18\/(-10)). Solve 3*d = -d + c - 8, -a*d + 4*c = 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-q**4 - q**4 + q**4)*(0 - 2 + 0)*(5 + 9 - 4)*(-1 - 3 + 5) in the form x + l*q**2 + d*q + f*q**4 + c*q**3 and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 13*i**2 - 20*i + 46. Is 12 a factor of j(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -3*j**2 - 4*j**3 + 115*j - j**2 - 115*j. Suppose 0 = -6*z + 3*z + 12. Let n(o) = 3*o**2 - 2489*o - z*o**2 - o**3 + 2489*o. Determine 3*n(l) - x(l).\nAnswer: l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 28 + 31 + (-75 - -25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -543 + 313. Let g = -217.65364 - 0.04636. Let n = l - g. What is n rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 62858189.\nAnswer: 62858189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 674*i**2 + 2*i + 49*i**3 - i - 2.\nAnswer: 49*i**3 - 674*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 667\/2 - 330. Let x(s) be the first derivative of 5 - 8*s + z*s**2. What is the derivative of x(b) wrt b?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/4621925 and 1\/10168235?\nAnswer: 50841175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 - (5 - ((0 + -8 - -7) + -2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**2\/4 + 66*g - 252.\nAnswer: -3*(g - 84)*(g - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - s = -3 - 0, -s = 2. Let a be (-1 - -2)*(-4)\/h. Suppose -12 = a*y - 7*y. Solve -9 - 3 = y*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 533 * 12824.\nAnswer: 6835192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:24 PM and 6:34 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 2 + 4 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 782, 3066, 6850, 12134, 18918, 27202, 36986?\nAnswer: 48270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 7958*z**2 + 7700*z - 18. Let k(v) = -7*v**2 - 2*v - 1. Let m(n) = -h(n) + 18*k(n). What is the second derivative of m(d) wrt d?\nAnswer: -16168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(500) - (-5*(-2*sqrt(500) - sqrt(500)) - sqrt(500))) + sqrt(500) + (sqrt(500) - (sqrt(500) + -2 + 1)))**2.\nAnswer: -720*sqrt(5) + 216003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-33)\/(-6)*(-36)\/(-63)*357\/51\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let 98 - 96*r + 46 + 36*r + 4*r**3 - 8*r**2 = 0. What is r?\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 163 and 0.13?\nAnswer: 21.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 11*u**2 + 7*u - 6. Give t(2).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 - 2.3. Let b = 0.644 - 0.353. Let h = b + a. Round h to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m\/m**(2\/7))\/m**(-11))\/(m**(-3\/11)*m)**(-46) assuming m is positive.\nAnswer: m**(3555\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 30418 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3 + 3 - 372*l**3 - 10*l**2 + 371*l**3 wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (32 - -1) - 63.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 51387 and 9660.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from khkhzakzkphzhpkvhkkk. What is prob of picking 3 z and 1 k?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 4965993747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -8bd (base 15) to base 11\nAnswer: -1539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*l + l + l + (-1 - 2 + 2)*(l + l - 3*l) + (3*l + 0*l - 2*l)*(-1 + 1 + 2) + 0 + 3*l + 0.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1987170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m - 1 + 1)*(26*m**3 + 29*m**3 - 80*m**3)*(2 - 1 - 2)*(-27*m + 24*m + 44*m).\nAnswer: -2050*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 121*h - 1374. Calculate c(11).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -29, -125, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes before 10:58 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3116381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -122010 (base 3) to base 8\nAnswer: -716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/2802 and 45\/11.\nAnswer: 30822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.746 + 5.744. Let p = -4.94 + -0.06. Let h = p + c. Round h to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13 + (-9 - -26 - (12 + -20)) - 6\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 28 - 182?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, b: 1, e: 1, w: 1, k: 1, x: 1}. What is prob of sequence wex?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: -92*-63.2\nAnswer: 5814.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 4, w: 3}. Give prob of sequence wwwb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -63 - -88. Let j = f + -18. Solve 2*u - j*u + 5 = 0, 0 = 3*k - 5*u + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 18*s - 110. Let x be p(10). Let d be x\/(-98)*3\/(-15)*-3. Let g = 54 + -103\/2. Which is the nearest to g?  (a) 4  (b) d  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.8 + -0.04955297.\nAnswer: 1.75044703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 499*w - 421. Let z be g(1). Calculate the highest common divisor of 5967 and z.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 301 and 50666?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 22 + -11. Suppose -v*y = -6*y - 40. Calculate the smallest common multiple of 11 and y.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**2 + 6*y - 9. Let i = -67 + 60. What is j(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 16 and 1552?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -2 + -6*(sqrt(243) + 2 + 3))**2.\nAnswer: 3024*sqrt(3) + 9532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -30*i**3 + 16*i**2 + 16. Let g(z) = -6*z**3 + 3*z**2 + 3. Let v be 26\/351 - 1720\/(-108). Determine v*g(p) - 3*b(p).\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 19\/7 - 4\/(-14). Suppose 4*c = -5*o + w*o + 288, -c = 5*o - 684. Let z = o + -69. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4323 - 2676 + 3351 = 714*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4603 - -4601. Which is smaller: -0.0348 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2535 and 36257?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -3*u + 3432 - 300, 3*u = -5*x + 3076. What are the prime factors of u?\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (33\/(-11))\/(-6)*88\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 4 + 1)*(-7*u + 35*u + 24*u - 5*u).\nAnswer: 94*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d*d*d\/(d**14*d))*d)**(-25) assuming d is positive.\nAnswer: d**(-350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15 - 42 - 14)*(5*z + 8*z - 3*z).\nAnswer: -710*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 38700\/3900 + 2\/(-26)*-1 + -2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:44 PM and 6:24 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1128*b**3 - 16*b - 449*b**3 + 161*b**3 - 18*b + 39 wrt b.\nAnswer: -8496*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1755655342 by 1.\nAnswer: 1755655342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 14 = 5*x, -2*g + 38 = 8*x - 3*x. Let n be (-1)\/(-2) + 132\/g. Is 9 - ((3 - n) + -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*x + 0*x + x)*(-3*x**2 + 0*x**2 + 2*x**2)*(2*x - 2*x + x) + (x - x + 2*x**2)*(-6*x**2 + 11 - 11) as c*x**2 + a*x**3 + q*x + o + r*x**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 26629937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -774, 21, -5, 38 in decreasing order.\nAnswer: 38, 21, -5, -774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 151.6567+-96.0184\nAnswer: 55.6383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -5011723 (base 8) in base 9?\nAnswer: -2424834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -524 by 16.\nAnswer: -131\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -94*c**3 + 69*c**3 + 262*c**3 + 200*c**3.\nAnswer: 437*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1031, 336 in ascending order.\nAnswer: -1031, -2, 336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/4)*k\/k**(-3\/4))\/(k**0\/(k\/(k\/(k*k**1))))*((k*k*k*k**1*k*k)**(-18))**(5\/4) assuming k is positive.\nAnswer: k**(-131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 87\/832 and 73\/768.\nAnswer: 9984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p + 14*p - 5226. Let c be (-12)\/90*-498 + (-9)\/(-15). What is the highest common divisor of p and c?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 116071 + -306311379\/2639. Calculate the common denominator of 57\/1508 and h.\nAnswer: 10556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2265.4578 to the nearest ten.\nAnswer: -2270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from flfll. What is prob of sequence lfl?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 1081*-5.0121\nAnswer: -5418.0801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (28\/6 - 2)*11\/19316. Let s = b - 8786\/3951. Is -3 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20431000 rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is (((-18)\/32)\/((-24)\/16561504))\/(144\/192) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 7*g**2 + 5*g. Let s(b) be the second derivative of 5*b**4\/6 + 7*b**3\/6 + 42*b. Determine -7*a(u) + 5*s(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**3 - 10886*u**2 - 15719712*u - 2428284600.\nAnswer: -2*(u + 175)*(u + 2634)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -60*j**5*x + j**4*x**2 + 3*j*x**2 - 4*j - 2*x**2 wrt j.\nAnswer: -1200*j**3*x + 12*j**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 82 + -117. Let r = -26 - y. What is the highest common factor of 153 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -41599.8342604355 minus -4?\nAnswer: -41595.8342604355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -35, -87, -165, -275, -423?\n\"Answer: -v**3 - 7*v**2 - 24*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -2*b. Let z(l) = 89*l**2 - 36*l - 14. Determine p(z(i)).\nAnswer: -178*i**2 + 72*i + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*l**2 + 211 + 236 - 622 + 204 to the form f*l**2 + b + v*l and give f.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -406\/81 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -121*l + 5*g + 28 = -123*l, -3*l + 5*g = 42 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 - -2. Let l(y) = 6*y**2. Let q be l(1). Let h be b\/q - (-420)\/9. What is h rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -105159 or -105243?\nAnswer: -105159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the first derivative of 4 - 1\/3*y**3 - 2*y + 7\/2*y**2. Is t(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1423, -1417, -1399, -1363, -1303, -1213?\n\"Answer: g**3 - g - 1423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.9758584 to 3 dps.\nAnswer: -0.976","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 14729\/27 or 10\/21?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 11404.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 167 divide 1469297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*v - 5*v + v + (3*v + v + v)*(3460 - 1737 + 3575)*(1 - 7 + 4) in the form j + t*v and give t.\nAnswer: -52981","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1\/3, 3\/2, 1\/4, -0.3, 0.2, -38?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the first derivative of l**3\/6 + l**2\/2 - 126*l + 34. Let f(k) be the first derivative of n(k). Give f(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the first derivative of -s**6\/15 + 9*s**5\/40 - s**4\/4 + s**3\/12 + 31*s + 50. Let j(g) be the first derivative of d(g). Factor j(c).\nAnswer: -c*(c - 1)**2*(4*c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -71*c**3 - 11*c - 2. Let y be l(-3). Suppose 5*k + 653 = y. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**2 - 5*s + 208. Let f be l(-17). Let c(n) = 5*n + 10. Let g(r) = 6*r + 11. Give f*c(k) - 3*g(k).\nAnswer: 2*k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 2*m + 3 + 3*m**2 - 6*m - 1 - 2*m. Is h(4) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.568598 hours to seconds.\nAnswer: 2046.9528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:30 AM and 12:07 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 6 = 4. Let s(f) = -2*f - 9. Calculate the least common multiple of l and s(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f + 24 = 6. What is the nearest to -9 in -1\/6, 2\/9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 4 = 48. Let p = -8 + x. What is the second derivative of -26*r - r**p + 11*r + 8*r wrt r?\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3460102?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -2*b**2 - 2*b + 5. Give k(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 - 3\/(9\/6). Let w be -6*(u\/(-3) + -1). Solve -w*d - 5 + 13 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 4 - 2 + 0 + 29*p - 30*p.\nAnswer: -p + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**3 - 8*i**2 + 22*i + 19. Let g be y(-10). Put 12, 3, g in ascending order.\nAnswer: g, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**3 - 9*v**2 + v + 12. Let s be o(-9). Suppose -15 = s*l, 0*d - 4*d + 1293 = 3*l. Round d to the nearest ten.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 43420 - 3*h + 4*h + 43620 + 43283 - 129998 to v + s*h and give v.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -337 + 491. Calculate the remainder when q is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2274079 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 6*v - 176 = 0. Suppose -27*l + v*l = 50. What is the smallest value in -0.3, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2869308 or 2869068?\nAnswer: 2869068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((-8134)\/(-422968))\/(18\/(-13))\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 25249280 and 56360?\nAnswer: 25249280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21)\/(-1512)*27*8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:07 PM and 1:29 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 129076331*f**3 + 674998646*f**2?\nAnswer: 774457986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**2 - 31*k + 102. Let u be z(-34). Solve 0 = -5*n - u*n + 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2166 + 2205. What is the greatest common factor of 39 and y?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -62.728 - -69.5. What is l rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -371 * -0.0732.\nAnswer: 27.1572","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 17 or -1586203?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**2 - 9*t + 20.\nAnswer: (t - 5)*(t - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 + -1 + (8 - -72) + 7 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2336, -2476, -2606, -2726, -2836, -2936, -3026?\n\"Answer: 5*l**2 - 155*l - 2186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, w: 2, a: 3, o: 1, m: 2, h: 9}. Give prob of sequence who.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -32, -0.03, 3.\nAnswer: -32, -0.03, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/(-18) - (-9)\/24.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1c1 - -14?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-7)\/35*-1 - -13. Let l = m + -193\/15. What is the nearest to l in -4, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 0*m = 0. Solve 0 = 5*p - m*p - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fqbqfffffqfffbffbb. Give prob of picking 1 q and 2 b.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 10 - 8 - 5 - 2*g. Let r be h(-5). Solve 22 = -5*u + 3*i, 2*u + 3 - r = -2*i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen eighths of a gram in milligrams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -9112.9 rounded to the nearest 100?\nAnswer: -9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 187465\/22 + -8518. Let w = 4\/6713 - -79552\/1684963. Let r = 2067\/4016 + w. What is the common denominator of r and d?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2931936 and 4608?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**2 - 1927*s + 9659. What is h(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -423, -7, -1\/6, -0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**0)**(-3\/16) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3647, 7294, 10941?\nAnswer: 14588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = -4*s + 42, -3*p + 0*s = 3*s - 66. Let y be -4 - (-60 - -3) - -1. Suppose -7*z + y = -p. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/(-9) - (-1 + 0). Let h = -6148 - -6147. Which is the closest to h?  (a) -3  (b) -5  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8288 divided by -4\nAnswer: 2072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 5*v**3 - 2*v**2 + 2*v - 1. Let l be w(1). Suppose 0*g - 12 = -l*g. Suppose g*z + 2*z + 3*q = 228, -137 = -3*z - 2*q. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -23100*p - 1617011. Give v(-70).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -69*z - 3. Let t be j(-1). Let i be (t - 9) + (-8)\/(-2). Let l = 112 - i. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -42.76 + 43. Which is smaller: q or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from jyynn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.24601 * -0.11.\nAnswer: -0.0270611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ofqf when four letters picked without replacement from {s: 1, x: 1, q: 1, i: 2, o: 3, f: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 166 less than 168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 28, -3 in descending order.\nAnswer: 28, 6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**2 + 6*t - 42. Let c be b(8). Let v = -7 + 9. Put 4, v, -1, c in descending order.\nAnswer: 4, v, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 3*b + 22. Let t(z) = 1243*z - 44. Determine -3*t(v) - 6*u(v).\nAnswer: -3747*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -18*r**3*x + 105830*r**2*x + 1145*r*x + r - 132*x wrt r?\nAnswer: -108*r*x + 211660*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 626575021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2713 - 2073. What is the greatest common factor of z and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*a = -49*a + 4209. Suppose -a = -21*f + 7039. List the prime factors of f.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 5.5 and -64.\nAnswer: -58.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -2*h + 9. Let k be n(-7). Suppose -k - 33 = -4*y. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -101\/16 and 89\/2130?\nAnswer: 17040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -36*s**2 + 4*s - 2. Let z(n) = -2*n + 1. Give -r(y) - z(y).\nAnswer: 36*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:35 AM and 12:17 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.22 - -36123287.40455\nAnswer: 36123287.18455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/1280 and 103\/320?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**2. Let r(x) = -11 + 17 - 6 - 2*x. Give u(r(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = 4*m + 4, 2*h - 4 = 4*m - 0*h. Let x be (-5)\/((-5)\/2) - m. Suppose -304*q + 299*q = -15. Solve -6 = 2*k, x*k + q = v + v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -18\/13  (b) -0.2  (c) -5  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most 46484\/54689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express w**3 + w**2 - 9*w**3 - 2*w**2 - 7*w**3 in the form y*w**2 + j*w**3 + p*w + a and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*i**2 - 6*i**2 + 3*i**2 + 5*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 335 divided by -335.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.07 + -0.07. Let x be 203\/(-29) - 19*4\/(-12). Which is the closest to k?  (a) x  (b) -0.2  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -43 + 38. What is the second biggest value in s, 2\/5, 0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -123 (base 10) in base 16?\nAnswer: -7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwhhw. What is prob of picking 2 h and 2 w?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -3*r + 26, -3*r - 2*v = 2*r - 25. Suppose -r*m = -11*m + 16. Suppose m*b - 29 = -5. Calculate the smallest common multiple of 10 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 145594*v**5 + 9*v**3 + 11155566*v**2 - 1 wrt v?\nAnswer: 8735640*v**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qft when three letters picked without replacement from {f: 3, g: 3, u: 9, t: 2, q: 2}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 30869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 987, 7.7, -4\/9 in ascending order.\nAnswer: -4\/9, 7.7, 987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x + x + 5*c + 40 = 0, 0 = -5*c - 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 514714470 and 360300129.\nAnswer: 3603001290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 140\/(-8)*(-256)\/512.\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the first derivative of -305*r**3\/3 - 42*r - 756. What is the derivative of n(k) wrt k?\nAnswer: -610*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 316 = -7*t + 505. Let x be (6\/(-8))\/((-2)\/48). What is the greatest common divisor of x and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19043300.\nAnswer: 2, 5, 31, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 35 = 5*y. What is the third derivative of -12*d**3 + y*d**2 - 25*d + 25*d wrt d?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -18*f**4 + 9*f**5 + 18*f**4 + f**2 wrt f.\nAnswer: 540*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rvn when three letters picked without replacement from {r: 8, n: 3, v: 4, k: 1, q: 3}.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 738023 is divided by 78?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 19*v**2 - 4*v**2 - 7*v**2 - 6*v**2 - v**2 + 2*v**2 + (0*v - 4*v + 2*v)*(-5*v + 5*v + 4*v).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 98 = -12*h + 11*h, -3*h = -9. Which is bigger: b or 248\/13?\nAnswer: 248\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3925395?\nAnswer: 3, 5, 29077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t - 12*t + 1302 = -2*y, t = -4*y + 339. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.1517 + 0.0517. Which is the closest to 1?  (a) -2\/11  (b) -0.2  (c) 1  (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 321 - 7*z**2 - 321.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -290.446477 rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 3*h + 30 = 0. Let g be 9\/6*16\/h. Suppose -2*t + 5*l = -103, 0*l = -g*l - 12. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 417039905\/1338 + -311689. Calculate the common denominator of -109\/18 and w.\nAnswer: 4014","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 15*k**2 + 81*k + 389. What is the tens digit of s(33)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -37340 or -37339?\nAnswer: -37340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m - 256*a = -258*a + 12, 5*m - a = -34 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 70?  (a) 1\/3  (b) 3  (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 467 - 443. Calculate the remainder when 237 is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-1)*n*n*n*((n\/n**(2\/15))\/n*n*n*n)\/n*n)\/((n\/n**(2\/3))\/n)**8 assuming n is positive.\nAnswer: n**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(539) + 0)**2 + 1*sqrt(539)*1 + -1 + -3*-3*sqrt(539) + 5*(sqrt(539) + (sqrt(539) + 2)**2) + -3.\nAnswer: 203*sqrt(11) + 3259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*(i**(9\/4)\/i)\/i)\/(i**(-2\/11)\/i)*(i**(8\/5))**(-3\/8) assuming i is positive.\nAnswer: i**(403\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*b - 5*h = 130, 4*b - 41200 + 41120 = 4*h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 310593 is divided by 51763.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**0*a)**(-6)\/(a**(1\/2)\/a*a*a)**(6\/7) assuming a is positive.\nAnswer: a**(-51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.242765, 3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -5534 (base 11) in base 8?\nAnswer: -16201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 12 = 0, 3*p - 4*p = -5*w - 134. Let g = 54 + w. Suppose 5*o - g = 22. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1 - -33) + (-4 - -2). Suppose 0 = -2*d - d + b. What is the units digit of (4\/5)\/(1\/d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -14*d**3*m**2 + 106904*d**2*m**3 + 2*m**3 + 2*m**2 + 27*m - 2210 wrt d?\nAnswer: -42*d**2*m**2 + 213808*d*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, 32, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 45*t. Suppose 5*v = 4*v - 3*v. Let g(m) = 5*m - 6*m + v*m. Give o(g(c)).\nAnswer: -45*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + 118 + -59 - 83.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d + 124 = 2*l, 4*l - 641*d = -639*d - 88 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 4)*(j**3 + 0*j**3 + 0*j**3) + (2*j - 3 + 3)*(0*j - 5*j**2 + 0*j).\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z - 6. Suppose 2*v + 0 = 2. Let b(k) = 1. Determine v*l(d) + 6*b(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 20 - 440115?\nAnswer: -440055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -19.58377 - -19.68077065. Let b = -0.097 + m. What is b rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7207 + 7216.242. Round n to one decimal place.\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.08 - -0.48. Let h = c - 0.5. Let b = 302\/7 + -44. Which is bigger: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -147*v = -135*v - 144. Suppose 5*a - 418 = v. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -37984, 18, -1, -104 in descending order.\nAnswer: 18, -1, -104, -37984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-120)*15\/((-375)\/100).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -u + u - u**3 + (-u**2 - 5*u**2 + 3*u**2)*(0*u + 0*u - u) to the form l*u**3 + s*u**2 + w*u + z and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v + 6. Let y be l(-4). Factor -d - 3*d - 2*d + 2*d - y*d**2.\nAnswer: -2*d*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18 - -14. Let q be 6\/m - 124\/(-8). Suppose -9*k + 25 = -q*k. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 606*f + 329 + 253 + 598*f + 128 - 1205*f.\nAnswer: -f + 710","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 17563 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of -27 and -2.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2326  (b) 4  (c) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3508 + -3506. Solve -8 = -3*m + z, 0 = 2*m + u*m + z - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 51 - 48. Suppose -5 = -2*q - 4*a + 13, 4*a - 21 = -5*q. Solve -5*u - 3*i + 37 = 0, -i + q = -b for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**3 + 46*x**2 + 17*x - 2795. What is i(45)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g\/(g**(-2\/9)\/g))*g)**(-1\/18)\/(g*g**(18\/5)*g*g\/((g**(-20\/7)\/g)\/g)))**(-18) assuming g is positive.\nAnswer: g**(64892\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -26, -24, -22, -20, -18?\n\"Answer: 2*w - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 187\/45 - 32\/9. Which is the nearest to -2?  (a) -1  (b) 1\/3  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.646167 - 0.6414. What is l rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16 - 38 - -49) + -20 - 44.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -173*d = -45*d - 11217 - 11823. Calculate the greatest common factor of 4950 and d.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*h - 120 = -34*h. Solve -20*l + 25*l + h = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 780652793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**2 - 7*n - 2. Let p be o(-6). Suppose -4*b = -6*b, 27 = -3*l + p*b. Is (-1401)\/l + 6\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*k + 6*k**3 - 3*k**2 - 85*k**2 - 15 + 87*k**2 to the form t + g*k**3 + w*k + o*k**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 482 = 142. What is the tens digit of -3*2\/(30\/g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -260308488, -520616977, -780925466, -1041233955?\n\"Answer: -260308489*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.2*-507306\nAnswer: -101461.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**2 - j. Let z be h(2). Let d(r) = -5*r**3 + 2*r + 2. Let l(i) = -i - 1. Give z*l(k) + d(k).\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 68*m - 142*m + 1406 + 1517 - 481. Let j = 86 - 61. What is the remainder when m is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 806*z**2 + 156. Let u = 79 - 235. Let y(m) = -26*m**2 - 5. What is u*y(c) - 5*v(c)?\nAnswer: 26*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**3 - 5*y**2 - 6*y + 5. Let k be s(6). Let x(p) = -p + k*p - p + 1 - 2*p. Determine x(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 + -1 + (-13 - (-15 - (-4 + 9))) + 55\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 46920603 to the power of 1\/4, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.09 + -1.21. What is the nearest to 4 in u, -4, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84*x + 2560 - 2124 + 1664 = 0 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, 86, -2828.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -898*r = 328*r + 9383 - 5004 + 7881 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r**5 - 360*r**4 + 2946*r**3 + 471240*r**2 + 5140443*r = 0. What is r?\nAnswer: -17, 0, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 20244409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*d**3*w**2 - 25*d**3*w - 641755*d**3 - 4*d**2*w**2 + d**2*w + 32*d**2 + 38*d + 60*w**2 - 4*w wrt d?\nAnswer: -18*w**2 - 150*w - 3850530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -57251 plus -112.4?\nAnswer: -57363.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 514 - 1216. Let h = b - -1108. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes before 6:50 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 2*m = 10. Suppose m*v - 17 + 1 = 0. What is the units digit of ((-54)\/4)\/((-6)\/v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 22463345 and 7726?\nAnswer: 3863","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 228 and 71066388?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/9)\/(9\/(-81)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1841022, -1841023, -1841024, -1841025, -1841026?\nAnswer: -1841027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 8336 divided by -4?\nAnswer: -2084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z = -1 + 883. Is z a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.66449 + 0.3?\nAnswer: -1.36449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.65, 11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 182\/(-110) - (-3249)\/(-10830).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -0.3, 0, 0.04, -0.2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 43014521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 38556 and 48586068.\nAnswer: 5508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10100110110 (base 2) to base 10.\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 200 + 24 = t, -881 = -4*t - 5*b. Factor t + 138*k + 1040 + 328 + 3*k**2.\nAnswer: 3*(k + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 21 - 18. Suppose 0*l = q*l - 75. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34993828.\nAnswer: 2, 41, 379, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is four thirds of a day in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 23*z**3 - 5*z**2 + 5. Let a(c) = -35*c**3 + 7*c**2 - 7. Determine 5*a(w) + 7*u(w).\nAnswer: -14*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 14) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**3 + 8*f**2 - 4*f - 12. Let n be b(7). Suppose -n*q = 4 + 23. Calculate the remainder when 6 is divided by q\/1 - (6 + -11).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, b: 4}. Give prob of sequence vv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 714361?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 281 - 259. Let n be p*(10\/4 + (-1 - 2)). Let c be 553\/(-77) + (-4)\/(-22). Which is smaller: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = -c - 52. Let f = -50 - c. Suppose 0 = 4*q + 5*j + 13 + 15, 3*j + 16 = -f*q. Let k(b) = -3*b + 1. Calculate k(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3543 and 635.\nAnswer: 224.9805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -502001, -1004010, -1506017, -2008022, -2510025, -3012026, -3514025?\nAnswer: -4016022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 702 and 1989?\nAnswer: 11934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 4*c - 5*c = -96, 4*c + 16 = 0. Suppose 134 = x - 5*t, -x + 2*x - t - 114 = 0. Let g = x + -34. What is the greatest common divisor of k and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*b + 79 = -6*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the first derivative of -3*q**4\/4 - 5*q**2\/2 - 8. What is the second derivative of o(k) wrt k?\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 3, 3*y - 12 = 8*y - 4*t. Suppose -4*p = 4*k - 164, y = -3*p + 3*k + 76 + 77. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (8\/6)\/(26\/(-117))*144\/48\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4545983633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**3 + 21840*i**2 - 37780500*i + 20000525000.\nAnswer: -4*(i - 2225)**2*(i - 1010)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 8\/3  (b) 25  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*p + 290390 = 32*p. List the prime factors of p.\nAnswer: 2, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -17 + 20. Suppose -3*v - 2*z = 0, a*z = -v - v. Suppose 4*f + 2*y - 86 = v, 3*f - 72 = -2*y - 7. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11 - -7. Let y(g) = 2*g**2 - 6*g - 3. Is y(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r - 5*r + 100. What is the greatest common factor of 20 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-88)\/(-264)*(-14)\/(-6)*2\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v and 1 x when three letters picked without replacement from {p: 2, v: 2, x: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -16589*s**4 + 3*s**2 - 16*s + 52?\nAnswer: -398136*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t - 1 = -3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1886, 3, 5, -1, 1 in increasing order.\nAnswer: -1, 1, 3, 5, 1886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 500 in -31\/2, 3, 0.02, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12.7191366 - 16.719137. Let f = 4 + a. Round f to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 3*j - 19 = 2*t, 0 = 5*t + j - 79. Let d = t - 10. Suppose -d*u + 142 = -122. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 335 (base 10) to base 13.\nAnswer: 1ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 11 = -3*v, 3*v + 59 = d + 4*d. Suppose 3*m - 50 = -44. What is the smallest common multiple of m and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 446.06, -2.6, -39 in descending order.\nAnswer: 446.06, -2.6, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-10)\/((-280)\/(-132276)) - (-1)\/7. Let g be -1*(-1)\/(4\/u). Is 0 + 3 - ((-15)\/3 + g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + k + 1 = 0, -5*k + 10*k = j - 23. Let v = 9 - 5. Let u = v - j. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*d + 15*d = -358. Let c = -95 - d. Calculate the greatest common divisor of 105 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3454 at least as big as 3460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 23*c**2 - 21*c + 85. Let q be d(5). Let i = q - 250. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.2 - -0.7. Let t = -13.4 + 14.4. What is the second smallest value in -0.06, t, x?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14287199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -244 at most -56\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -62586 divided by 513.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 6, w: 13}. What is prob of picking 1 w and 1 n?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -641*b**3 - b**2 + 2*b + 3. Suppose -s = -d - d - 9, 4*d + 20 = 0. Is v(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 361766383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7492930 + -4.\nAnswer: 7492926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 2*w. Let i(k) = 6*k. Calculate i(l(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -7*p**3 + 3*p**2 + 4*p + 11. Let s(a) = 4*a**3 - a**2 - 2*a - 5. What is 2*g(k) + 5*s(k)?\nAnswer: 6*k**3 + k**2 - 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -127*j**5*o - 9*j**5 + 2*j**2*o - 3*j**2 + 17*o wrt j.\nAnswer: -7620*j**2*o - 540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10\/(-125) + 2 + 424016\/200 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 20553543, 41107084, 61660625, 82214166?\n\"Answer: 20553541*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q + q + 14. Let g(l) = -l**3 - 6*l**2 + 2*l - 8. What are the prime factors of g(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 76570859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -159 + 155. Suppose -5*z - 7 = -3*y + 13, -y + 3*z + 12 = 0. Sort y, 5, o, 4 in descending order.\nAnswer: 5, 4, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1273 (base 9) to base 8.\nAnswer: -1675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*k = 322*k - 2500 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -2, 26, 106, 262, 518?\n\"Answer: 4*r**3 + 2*r**2 - 6*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5410458731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -40*d**2 - 5*d - 3. Let g be j(4). Let s be (-45)\/5 + 16 + -8*420. Let a = s - g. Round a to the nearest 100.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 188 = -8*w + 108 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -540688 by 135172.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 55 + -16 + -5 + (-2 - 2 - 5)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -230 + 158. Let m(r) = -2*r**3 + 4*r**2 - 2*r - 4. Let q be m(6). Let a be (-4)\/(-18) - q\/j. Put -3, a, 1 in descending order.\nAnswer: 1, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*((o*o*o\/((o*o\/(o*o**(-2\/5)\/o))\/o))\/o)\/o)**(34\/3))**(-13)\/((o**(2\/21)\/o)\/((o*o*o**(-3)\/o)\/o)*o\/o**(-1\/6)*o*o**(1\/2)*o) assuming o is positive.\nAnswer: o**(-9887\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -5*r. Let z be j(2). Let s be (-14 - -13)*2*-1. Let y be (-3 - (-2 - s)) + -4. Sort z, 1, y in ascending order.\nAnswer: z, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the first derivative of -300*p**4 + 242*p**3 - 620. What is the third derivative of d(r) wrt r?\nAnswer: -7200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-22 + (-18 - -55) - -4) + 21.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.083  (b) 0.001  (c) 0  (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*m + 10*m - 10*m + 19*m.\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00288758 to 5 decimal places.\nAnswer: -0.00289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 1)*(d**4 - 3*d**4 + 0*d**4) + 141*d - 3 - 141*d - 5*d**4.\nAnswer: -9*d**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and -256136?\nAnswer: 51227.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -226010 divided by -29?\nAnswer: 226010\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3478, 3390, 3240, 3028, 2754?\nAnswer: 2418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9 by -99399033.\nAnswer: 1\/11044337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*d = 1 - 1. Suppose d = -4*n + 2*n - 4*k + 26, 0 = -4*n + 3*k - 3. Let w(h) = -h**2 - h + 8. Let i(s) = 2*s**2 + s - 9. Determine n*i(l) + 4*w(l).\nAnswer: 2*l**2 - l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:51 AM and 6:04 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*w + 44 - 9. What are the prime factors of (-6 - -1) + w\/((-50)\/(-10310))?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of j**4 + 843*j - 1937 wrt j?\nAnswer: 4*j**3 + 843","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 21\/5 of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1077971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8 by 2902.\nAnswer: -4\/1451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(250)\/(-2*sqrt(10)) - ((sqrt(1225)*-3 - sqrt(25)) + sqrt(25)))\/((sqrt(100)*-6)\/(sqrt(720)\/sqrt(9))).\nAnswer: -41*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in fourty-four fifths of a kilometer?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1492 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-20)\/(-28))\/(-5))\/((-2)\/8).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -15 - 6. Let b be u - ((1 - 0) + -1). Let d be 5166\/(-80073) - (-2)\/31. Solve s - 3*c - b = d, 4*s = -4*c - 5 + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**2 + 74*y - 460. Let z be u(69). Is z <= -809\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 + 156\/24 + 3\/(-2). Let l be (2\/4)\/(3\/66). Let i = 14 - l. Solve 5*o = 2*h - i, 3*o - 4*h - w = -3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -109\/15 - -20\/3. What is the biggest value in 2, -0.5, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-22)\/4 + 4)\/(-3)*4. Calculate the highest common divisor of 64 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2875, -2877, -2879, -2881?\nAnswer: -2883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -39*u + 70*u - 31*u - 2*u**2 as j*u + m + f*u**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/11, 16\/11, 7\/2 in decreasing order.\nAnswer: 7\/2, 16\/11, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * -8.4.\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -3*t - 3. Let v(y) = -4*y - 2. Let b(h) = -3*k(h) + 2*v(h). Let o be b(-5). Solve o = -2*r + 6*r + 5*p - 31, 2*p - 10 = -r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 58292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 40 + -27. Suppose 2*h + 0*h + 3*s - u = 0, 0 = 4*h - 3*s + 1. Solve -h*z = -5*z - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 19458 and 330251.\nAnswer: 349709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 - 3. Let y be (-26)\/(-10) + (-2)\/(-5). Sort 5\/3, y, s in decreasing order.\nAnswer: y, 5\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 35*g**2 + g - 9. Let q(u) = 39*u**2 + 4*u - 9. Let z(j) = 4*b(j) - 3*q(j). Let t(d) = 30*d - 2 - 1 - 33*d + 8*d**2. What is 8*t(l) - 3*z(l)?\nAnswer: -5*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -2*p - 2. Let f be u(-12). Suppose n + 20 = f. Solve -4*t - q - n*q = -15, -4*t - 2*q = -10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 144211.\nAnswer: 17, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 4395810471 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -2*t**3 - 12*t**2 + 15*t + 15. Let a be y(-7). Let j be a\/8 + -1 - -3. Solve j*s - 12 + 18 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 8 = j - p, 2*j + 3*p = -2445 + 2489 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-24)\/(-10))\/4 - (-7233)\/45. Let o = 162 - h. What is the second smallest value in 12.5, 1\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*r + 222 + 51. What is the remainder when r is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9775 * 1.\nAnswer: 9775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**2 + 2*p + 95. What are the prime factors of s(0)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 5*l**3 - 3*l**2 - 5*l + 7. Let h(d) = -d**3 + d**2 - 1. Let i(v) = -6*h(v) - t(v). Let k be i(4). Calculate the greatest common divisor of k and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 325*g + 467. Is w(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12384, 49746, 112006, 199164, 311220, 448174?\nAnswer: 610026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -211705 (base 8) in base 3?\nAnswer: -10120211201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-340)\/816*18)\/((3\/(-10))\/(-1)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 46\/(-69) - 14\/(-3). Determine q so that -2*q**2 + 7 + 4*q**2 - d*q**2 + 10*q + 5 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes after 5:09 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -73*d**2. Let k(y) = -42*y. Give a(k(m)).\nAnswer: -128772*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i**2\/2 - 95*i\/2 + 1037 = 0. Calculate i.\nAnswer: 34, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (3*(-2)\/12)\/((-9)\/2)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 635 and 6477?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -23.3?  (a) -6  (b) -5  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 420 divide 436380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 6 = -5*p. Factor -2*o**3 - 4*o**4 + 2*o**5 + 3*o**4 + 2*o**p + 4*o**4 - 5*o**4.\nAnswer: 2*o**2*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3088325152 to the power of 1\/2, to the nearest integer?\nAnswer: 55573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 + 1840335?\nAnswer: 1840335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (7\/2 - 2)\/(3\/212). Suppose q - j - i = -2*j, -5*j = -3*q + 342. What are the prime factors of q?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.8 + 0.7. Let h = -0.5 + 4.5. What is the nearest to o in 5, h, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of 2*u**2 + 65*u - 122. Let i be d(10). Calculate the greatest common factor of 35 and i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.010233481 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**2 - 4*d - 6. Let p be l(5). Let c(j) be the first derivative of -254 + 205 - j + 4*j**3 + 2*j**3. Calculate c(p).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -22 - (-28 - (28 + -35)) - (17 - 1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**3 - 9*k**2 - 11*k + 7. Let t be q(10). Let x(y) = -2*y**3 + y + 3*y**3 + 3*y**2 - 8 + 6. Calculate x(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (52\/(-2))\/(-3 + 4). Let c be 3*(-1 + x\/(-6)). What is the highest common divisor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7441 - 3523. Is 21 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z**3 + 4*z**3 + 7*z**4 - 2*z**3)*(z + 4 - 4).\nAnswer: 7*z**5 - z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 312411737 and 85203201.\nAnswer: 937235211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**3\/4 - 110*r**2 + 3031*r\/4.\nAnswer: r*(r - 433)*(r - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 12, e: 6}. Give prob of sequence zzz.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 1 - 5. Suppose -2*d + s = -336, -2*s - 189 = -h*d + 147. Suppose 0 = 42*b - 62*b + 480. What is the greatest common factor of b and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2*p - 1)*(-1134*p**2 + 1484*p**2 - 969*p**2).\nAnswer: 1238*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from cccqcnniccicqnic.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, -84, 4.\nAnswer: -84, -18, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 + (-5)\/34)*(-1004)\/1255. Find s, given that o + 2\/17*s**2 - 4\/17*s = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the third derivative of q**4\/24 + 4*q**3\/3 + 49*q**2 - 1. Give s(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -96698 = 11*x - 25*x. Let d = x + 12550. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) -0.4  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 5.30094 * -0.5\nAnswer: -2.65047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -4*z - 2. Let q be g(4). Let f(o) = -o**2 - 3*o - 1. Let m be f(-3). Is 14 a factor of 2\/m*(4 + q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 2845 = 5*x + 6*d, d + 5 = 0. Does 33 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 255366799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -15*h + 14*h + 1157, 3*k - 4*h - 844 = 0. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -322700 rounded to the nearest ten thousand?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does -1\/125 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 31 - 57. Let f = -53 - 385. What is the tens digit of (-6)\/(-39) + f\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 521341*y**2 - 115*y + 431.\nAnswer: 1042682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 71 - 69. Suppose -f*a = a - 72. Is 24 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes after 7:22 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36 + 85 - 18 + 3163*w - 33.\nAnswer: 3163*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*s - 106 = -36 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -186 divided by -117189?\nAnswer: 62\/39063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, -27.6, 11\/3 in increasing order.\nAnswer: -27.6, -10, 11\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 + 3. Let b(n) = -5*n**3 - 2*n**2 + 2*n + 4. Let s(y) = 1 - 177142*y + 4 - 2*y**2 - 6*y**3 + 177145*y. Calculate i*b(g) - 4*s(g).\nAnswer: -g**3 - 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 481190?\nAnswer: 2, 5, 48119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -14*c**2 + 44. Let p(a) = -3*a**2 + 11. Let z(k) = -9*p(k) + 2*w(k). Calculate z(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 152977 and 453611.\nAnswer: 606588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*t - 4*t - 2*t)*(-295*t + 3542*t + 2682*t - 24*t + (0 + 0 + t)*(1 + 1 - 4) + 3 - 3 + t - 2*t - 3*t + 3*t) as l + a*t**2 + h*t and give a.\nAnswer: -17706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8 (base 13) to base 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 9, p: 10}. What is prob of picking 4 j?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-972)\/46)\/3 + ((-187)\/(-17) - 4)\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5.21 - 0.09. Let y = -2.7 - k. Let g = y - -0.6. Round g to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 2 + 1 + (-2 + 1 - 1)*(-1 + 0 - 1))*(-16*l**2 + 36*l**2 + 27*l**2) in the form a*l + c + k*l**2 and give k.\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1512382*j**2 + 2055914*j**2 - 1238485*j**2.\nAnswer: 2329811*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:14 AM and 2:44 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jddhdedeejh. Give prob of sequence hhe.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2 + 9\/(9\/2). Suppose -8*c + 2*c + 480 = s. Suppose 0*x = 5*x - c. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 49\/3 - 16. Which is the biggest value?  (a) -0.04  (b) f  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 18\/(-6) + -2 + 10. Suppose -w - 400 = 2*w + 5*h, -x*h = -5. Let u = w - -262. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1200, 7, 6, 68 in descending order.\nAnswer: 1200, 68, 7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 104049 is divided by 51?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -300*o**2 + 100*o**2 - 114*o**2 in the form d*o + q*o**2 + l and give q.\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 701579.5l?\nAnswer: 701579500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 17 = 2*c + 5*y, 10 = 3*c - 2*y. Let v(z) be the second derivative of 0*z**3 - 2*z + 1\/36*z**c + 0*z**2 + 0. Factor v(b).\nAnswer: b**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1797390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -19 - 75c4?\nAnswer: -75dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**3 + 35*w**2 + 35*w + 64. Let u be m(-34). Suppose 0 = 2*y + 2*o + 3*o - 15, 2*o = -2. What is the greatest common divisor of y and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1095)\/35 - 0) + 1 + (-180)\/(-630).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 31 or 72?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1718 - 3190*n + 3386 - 1669.\nAnswer: -3190*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**3 - 23*n**2 - 18*n + 87. Let d be h(-22). List the prime factors of ((-58)\/(-4))\/((-75)\/80 - d).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, y: 8}. Give prob of picking 2 x.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2574702967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 47171.67 millilitres in litres?\nAnswer: 47.17167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3323 + -3314. Solve -12*n + l*n = -15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23, 18, 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of (66 + -2 + 8)*(-40)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13.26 + 13.260629. What is m rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j + 3. Let c be z(-5). Let i = c - -4. Solve -x = w - 9, x - i = 2*w - x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gmg when three letters picked without replacement from {e: 5, g: 1, n: 1, t: 3, m: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.8, -0.17, 17, -0.4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the first derivative of -x**4\/4 - 3*x**3 - 3*x**2\/2 + 11*x - 446. Give i(-9).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 830 is divided by 540?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wy when two letters picked without replacement from {y: 1, w: 1, j: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -358 - -3942\/11. Factor 0 - 2\/11*r**3 - y*r + 6\/11*r**2.\nAnswer: -2*r*(r - 2)*(r - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 114125552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes before 11:26 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.41?  (a) -0.3  (b) -11  (c) 42.982  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3*(-3)\/(-27))\/((-4)\/(-36))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 56936 and 113872.\nAnswer: 113872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-128)\/(-20) + 21 + -21 - 1*6.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0 - ((3 - 8) + 3). Suppose a*q - 2 = -2112. Is (1 + 1)\/((-10)\/q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -2*x**2 + 378918*x + 4168340 = 0?\nAnswer: -11, 189470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 2*r**3 - 80*r**2 + 48*r - 2114. Determine q(40).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 592066 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2, -2709, -353, -8 in increasing order.\nAnswer: -2709, -353, -8, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -307?\nAnswer: -1\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.5 - 3.9. Round n to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the first derivative of -33*c**5\/5 + 2*c**2 + 9*c - 300. What is the second derivative of d(r) wrt r?\nAnswer: -396*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 4, s: 9, k: 3, j: 2}. Give prob of sequence tssk.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x\/x**7))\/x**(-9) assuming x is positive.\nAnswer: x**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - s + 18 = -2*j, -3*j = 2*s + 2. Solve -5*p - 6 = 4*m, -s*p + m = -m - 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nxxnxnxxxnnxxxxxxxx. What is prob of picking 3 n?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/62421 and 68\/37095?\nAnswer: 771835665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-96)\/(-3600) + 9955796\/150.\nAnswer: 2, 3, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g + 12452 = 3*x + 12481, 4*x = 4*g + 36 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u**2 + 4*u - 2. Let t be k(-5). Suppose -s = 3*y - 5 - 5, 5*y = -t*s + 18. Let m be 2*2 + (-1)\/1. Does y = m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 21*q + 609. Let v be n(-29). Factor 0 - 1\/3*p**3 + 1\/3*p**4 + 0*p + v*p**2.\nAnswer: p**3*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g - 5. Let w be r(-5). Put w, 5, 3 in ascending order.\nAnswer: w, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110) - (sqrt(110) - ((sqrt(110) - (sqrt(110) + sqrt(110) + (sqrt(110) - (1*sqrt(110) + sqrt(110))) + sqrt(110)))*-4 + sqrt(110))))\/sqrt(10) + 1.\nAnswer: 1 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yykkkkkkykk. Give prob of picking 1 k and 2 y.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 14574 divided by 14?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 4 = x - 3, 3*j + 9 = -x. Suppose 3*o = -x*g + 81, 4*o - 4*g - 143 = -g. Calculate the highest common factor of o and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 5*n - 1. Let r(s) = 4*s - 2. Let f(x) = 2*o(x) - 3*r(x). Let j(y) = -2 + 5 - 2. Determine f(p) - 3*j(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1130 + -810. List the prime factors of m\/2*(-2 + 6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -402, -808, -1228, -1668, -2134?\nAnswer: -2632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -4906 divided by -446\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 u, and 1 k when three letters picked without replacement from rurkcemueurmrke.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 2*k + 26 = 0, -2*k + 4 = -m - 6. Let l = -13 - m. Let t(p) = p**2 + 3. Let j be t(l). Calculate the highest common factor of 28 and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 7\/(2 + -5 + 4). What is the greatest common divisor of n and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8886 and 144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 76*c + 65*c - 1088*c**2 + 80*c - 227*c to the form o + u*c**2 + a*c and give u.\nAnswer: -1088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*w = -472*x + 470*x + 37, w = 5*x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -4*k + 24. Let x = k - 10. Let a = -0.02 - -3.02. What is the biggest value in a, x, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvp when three letters picked without replacement from ylyylypyv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 3*o + 2*p + 9, 0 = o - 3*p - 17. Let w be o + 1 + 3\/(2 - 1). Let n be 3\/4*w\/(-45). Is 1 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 108.1 and -1.4.\nAnswer: -151.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2392 and -0.0679.\nAnswer: 0.01624168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -36 - -25. Let n = y + 10.89. Let z = n - -0.51. Which is the third biggest value?  (a) -2\/11  (b) -2\/9  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 610218687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 + 36. Suppose -60 = -3*u + q. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (-4 - -3) - (-5 - -6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -4*p + 20. Let f(w) be the first derivative of -w**3\/6 - 220*w + 97. Let b(u) be the first derivative of f(u). Determine r(b(z)).\nAnswer: 4*z + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 239 is divided by 164?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 888181979 to the power of 1\/2, to the nearest integer?\nAnswer: 29802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/7?  (a) -5  (b) 1.5  (c) 2  (d) -93368\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4061 = 69*f + 5982 + 2150 for f.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 2 - 106. Let l = m - -15. Let w be 1\/((22\/12)\/l). Which is the smallest value?  (a) w  (b) -2\/21  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, k: 4, l: 1, f: 7, c: 1}. What is prob of picking 1 f and 1 w?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 290*r**5 + 904*r.\nAnswer: 5800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61523*u - 2 + 3 - 56086*u - 5005*u.\nAnswer: -122614*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 21, 0, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*r + 4*r + 5*r)*(4*r + 6*r**2 - 6*r**2 - 2*r**4) + 125*r - 15*r**5 - 125*r.\nAnswer: -21*r**5 + 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -27298, -54598, -81898, -109198, -136498, -163798?\nAnswer: -191098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -279.8 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -13*l**4 + 3*l**3 - 18. Let g(m) = -27*m**4 + 5*m**3 - 35. Let f(i) = 3*g(i) - 5*o(i). Differentiate f(t) with respect to t.\nAnswer: -64*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 74 - 371\/5. Let g = -254.473 - -255. Let i = -0.027 + g. What is the second biggest value in 1\/4, k, -2, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*t**3 - 315011228*t**2 - 6202004452873632*t + 6202004767884864 = 0. Calculate t.\nAnswer: -39376404, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z = -3*z - 6456. Suppose 7*a = a + z. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (10\/25)\/(-1) + 84\/10. Calculate the greatest common factor of 96 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.073 * -0.397.\nAnswer: -0.028981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/(0 - (-5)\/(-20)). Let y be (42\/8)\/(3\/12). Let x = -21 + y. Solve -f*g + 16 + 0 = x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p**3 + p**2 - p**3 - 2*p**3)*(749 - 1677 - 1083).\nAnswer: 4022*p**3 - 2011*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*t - 3*p + 7, -3*t = -8*t + 12*p - 7*p - 35 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 1) + 13 + -15 - (29 - (29 + 17)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 79*n**4*r**3 + 2*n**4 + 3*n*r + 2*r**3 + 40*r wrt n?\nAnswer: 948*n**2*r**3 + 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aqdqqxdxxxxrxxaxqq. What is prob of sequence qqxa?\nAnswer: 2\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -327*o**6 + 17*o**2 + 5?\nAnswer: -39240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6*h**3*v**2 + 96*h**3 - 119*h**2*v**4 - 4 wrt v?\nAnswer: 12*h**3*v - 476*h**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-24)\/20)\/(54\/(-90))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes before 2:35 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3676 = -50*j + 1224. Let l be 0 + 2 + -2*1. Suppose 101*y - j*y = l. Solve 2*t = -y*t + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 168 and 2240?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 16 - (-5 + 5\/5). Calculate the lowest common multiple of 9 and 102\/1*q\/30.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the second derivative of 1\/30*l**6 + 0*l**3 + 7*l + 0*l**5 - 1\/12*l**4 + 0 + 0*l**2. Determine m so that o(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.4, 0, 4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 18181103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes before 7:16 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1831592431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 93, 97, 105, 117, 133, 153, 177?\n\"Answer: 2*d**2 - 2*d + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*n**2 + 5*n**2 - 2*n + 2*n.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q + 4*u + 16, 2*q + 25 = 6*q - u. Let w(y) = y**3 - 6*y**2 - y + 4. Let x be w(q). Let g = 0 - x. What is the highest common divisor of g and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.22 + 1.02. What is the closest to p in -4, 3\/4, 3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in -0.2, -3\/17, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f - 5. Let q be 7\/(-1 - (-6)\/3). Let m be g(q). Let k = 12.4 - 14.4. Which is the nearest to m?  (a) 2  (b) k  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 3*r - 79 = -w, w - 3*r = 1. Suppose 5*n - w = 9. Suppose -n*s = -b - 80, 4*b + 95 = 5*s + 6*b. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20271*h - 19807*h + 39512*h.\nAnswer: -566*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h + 8*h - 350 = -6*m, -2*m - 2*h + 126 = 0. Calculate the greatest common divisor of 1064 and m.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/((-24)\/(-20) - 1). Let o be -1 - 84\/(1*-2). Suppose o = -r*m + 121. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2, -30, -62, -86, -90, -62, 10, 138?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 17698, 18588, 20074, 22156?\n\"Answer: 298*r**2 - 4*r + 17404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*l + 1174 = -137*l - 628 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let -1012683*f**5\/5 + 27888*f**4\/5 + 3037857*f**3\/5 + 1941702*f**2\/5 - 11040*f + 384\/5 = 0. What is f?\nAnswer: -1, 8\/581, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 361536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 600.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -23.914 from 3.\nAnswer: 26.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 58846181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 4*s**3 + 8*s - 8. Let g(h) = 3*h**3 + 8*h - 7. Determine -6*g(n) + 5*i(n).\nAnswer: 2*n**3 - 8*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vmlr when four letters picked without replacement from lvzmrmrrmrmlvvvrrmv?\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 337, 1370, 3089, 5494, 8585, 12362?\nAnswer: 16825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 8850+0.5\nAnswer: 8850.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 767737025?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from jjjppj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 18 - (-10 + 44 + -21)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 115909, 115905, 115897, 115885, 115869?\nAnswer: 115849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41*k**2 + 185*k - 25*k**2 - 147*k + 72*k**2 - 38*k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1302 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 2*u**2\/5 + 37542*u\/5 - 2443648 = 0?\nAnswer: -19091, 320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-1\/2))**(-6)\/(n*n**(3\/4)*n*n\/(n**6*n)))\/((n*n**1)**(-29)\/(n**(-3\/4)*n*n*n**(-1\/5))) assuming n is positive.\nAnswer: n**(653\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -d**2 - 5*d**2 + 0*d**2 + (3 - 2 - 2)*(-3*d**2 + 5*d**2 + 5*d**2) to l*d**2 + i*d + n and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 1. Let l(f) = -2*f**2 + 5. Let g(w) = -l(w) + 5*q(w). Let p(v) = 2*v. Calculate p(g(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 + 6. Solve -n - 2 = -0*n + p*s, 4*n + 3*s = 10 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -2*w**2 + w - 9638. Let v(i) = i. Determine b(v(l)).\nAnswer: -2*l**2 + l - 9638","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -256216\/31 - -8266. Let c = 147\/248 - y. Put -1\/9, 0.03, c in ascending order.\nAnswer: c, -1\/9, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a - 3. Let o be p(-3). Suppose -2*b - 3*r - 5 = 4, 5*b - 4*r = 35. Put b, 1\/8, o in decreasing order.\nAnswer: b, 1\/8, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4078.\nAnswer: 2, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -342678, -342643, -342598, -342543, -342478?\n\"Answer: 5*u**2 + 20*u - 342703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the third derivative of 0*t**4 + 3*t**2 - 1\/336*t**8 + 0*t**3 + 0*t**6 + 0*t**5 - 1\/210*t**7 + 0 + 0*t. Factor u(o).\nAnswer: -o**4*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5628*8268.\nAnswer: -4653.2304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 4, v: 1, j: 2, l: 2}. What is prob of sequence ld?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2793785.01 from 0.4.\nAnswer: -2793784.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = 31 - 471. Find the common denominator of -1 + -1 - (-100)\/(-8) and (-16)\/n + 697\/(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 12440.99um?\nAnswer: 12.44099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 11\/((2 + -5)\/(-3)). Let v be (u + (2 - 4))*2. Let a = v + -9. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22*u**2 + 21*u**2 + 15*u**3 + 143*u**3 - 27*u**3 to q*u**3 + t + l*u**2 + i*u and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61*d**2 + 4*d - 7*d - 6*d + 9*d + 21*d**2.\nAnswer: -40*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11 - 11. Let g(w) = w + 4 + m*w - 3*w + w. What is the smallest common multiple of 6 and g(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -27 + 46. Let b be (-2)\/s - (-688)\/38. Suppose -b*k - 28 = -14*k. Which is smaller: -8 or k?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the second derivative of -j**3\/6 + j**2 - j. Let v be ((-1244)\/23636)\/(2\/(-190)). Calculate n(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6\/7 - -16\/35. Which is the nearest to 0?  (a) -4  (b) z  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 61*t + 363 - 363.\nAnswer: 61*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -126540146064 + -3.\nAnswer: -126540146067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(171) + -2 - ((sqrt(1216) + 1)*4)**2.\nAnswer: -19472 - 253*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -116351, 1 in decreasing order.\nAnswer: 6, 1, -116351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1223, -2448, -3677, -4910, -6147, -7388, -8633?\n\"Answer: -2*z**2 - 1219*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + m = 11932, -7*m = -q - 8*m + 2983. Let c = q + -2017. Suppose 2*d = -3*o + 305, -353 = 4*d + 5*o - c. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*d + 52 = 49*d. Suppose d*v - 36 = 4*t, -v - 3*t - 20 = -9. Solve v*x = -4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-12138)\/(-28))\/51*(-36)\/(-51)*-3\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (228\/(-30) - -8)\/((-4)\/40)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 17 - 6 + 9*l**2 + 11*l + 0*l. Let o(u) = -5*u**2 - 6*u - 6. Calculate 6*j(r) + 11*o(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.292 - -0.208. What is the second biggest value in -1\/3, v, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, 3, -5, 114\/7, 166?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**3 - 29*c**2 - 8*c + 967. Give z(28).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the first derivative of 5*k**4\/8 - 215*k**3\/6 - 1425*k**2\/4 - 2205*k\/2 - 983. Let m(p) = 0. What is p?\nAnswer: -3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12.7 - 13. Let y be ((-4)\/(-5))\/(6\/45). Let t be 1\/(-2) + (-27)\/y. What is the closest to 0.1 in -4\/7, t, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c**4 + 2*c**4 + c**4)*(-3*c + c + 4*c) + 0*c + 2*c**5 + 0*c - 2*c + c**5 + 2*c + (2*c**4 + c**5 - 2*c**4)*(0 + 0 - 4) + 13*c**5 + 13*c - 13*c.\nAnswer: 16*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = 5*w + 2, 3*w + 2*x = 1 - 3. Solve -h = -w*u + 7, 5*h + 4*u - 21 = -0*u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 288 - 268. Which is smaller: p or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 130 is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -11634*m**4 - 9932*m wrt m.\nAnswer: -139608*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:33 PM and 11:43 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 98832 and 174021?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19*z - 19*z - 50*z to the form i + w*z and give w.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -109 - 180 = -n. Let j = -170 - -187. Calculate the greatest common factor of n and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -201 + 208. Differentiate -4 - 80*t + b - 15 - 8 wrt t.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:40 AM and 2:35 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -127*m*n*x - m*x - 2*m - 32*n*x - 28933*x - 3 wrt n?\nAnswer: -127*m*x - 32*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (27 + -67 + 40).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2)\/12)\/((-5)\/4). Let y = 40 - 32. Let n = -7.8 + y. Which is the second smallest value?  (a) 2\/7  (b) n  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -3*j**3 + 308*j**2 + 1294*j - 122671. Determine h(103).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 2*q**3 + q**2 + 4*q - 3. Let b(c) = -4*c**3 - 2*c**2 - 7*c + 5. Let n(t) = -t**2 - 6*t - 2. Let m be n(-5). Determine m*b(u) + 5*o(u).\nAnswer: -2*u**3 - u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hwhhwahhhwhhwhhwh. What is prob of picking 1 h and 1 a?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 <= -43\/1976?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -281322 divided by -1\nAnswer: 281322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 4 - 4 + 10*k - k**3 + 3 + 6*k**2 + 3*k**2. List the prime factors of g(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**3 + 4*y**2 + y + 1. Let i be r(4). Let z be (-4)\/6 + 70\/15. Let v be 0\/(-11)*2\/4. Solve 2*o + 3 = o - z*q, -i*o - 4*q + 1 = v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -8*u**2 - 3. Let i(p) be the second derivative of -9*p**4\/4 + 1041*p + 2. Determine k(i(r)).\nAnswer: -5832*r**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-222)\/10)\/((-1780)\/24). Let i = j + -48\/89. Which is greater: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (385\/616)\/(3\/(-144)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.148 - 869.\nAnswer: -868.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 24.03 + -24. Let x = 32.97 + d. Which is the second smallest value?  (a) -5  (b) -1\/4  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a factor of 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -2 - 2 + 1 + 6 - 4*n. Let u = 82 - 132. Let q = u + 45. What is h(q)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g\/(g*g\/(g\/(g\/(g*g\/(g**10\/g))*g)))*g**(-1\/3)*g assuming g is positive.\nAnswer: g**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*s + 18*s - 5 = 5*m, -3*m - 4*s = -2 + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 77 is divided by 57?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7546135 tonnes to kilograms.\nAnswer: 754.6135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-8)\/10)\/((24\/(-22755))\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 550584 and 137646?\nAnswer: 550584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 77 and 852170?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 0, -8, 526707 in descending order.\nAnswer: 526707, 2, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (2 + sqrt(117))**2.\nAnswer: 12*sqrt(13) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 862 by 22.\nAnswer: 431\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - -37) + -91 + -12.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -14319 (base 10) in base 5?\nAnswer: -424234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 4 + 2)*(0 + 0 - 2*y) + (0 + 0 + 1)*(-2361 + 2361 + 69*y).\nAnswer: 53*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1011011001010 - 10001001100011100?\nAnswer: -10010100111100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 10967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7006735476?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z - 3. Let t(o) = 2*o**2 + 12*o - 17. Let a be t(-8). Let m be -2*2\/(-6) - 70\/a. Let x(n) = -n - 4. Determine m*x(b) + 5*w(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k - 4*l + 16 + 2, 4*k - 4*l = 0. Find the second derivative of -i - k*i + i**4 - 7*i**4 wrt i.\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 29064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes after 9:39 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/6*(6 + 0). Suppose t - 28 = -d*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15 - 4) + -4 + (368 - 352)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nonn when four letters picked without replacement from nnno?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-55360)\/(-224) - 3\/21. Is n smaller than 245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 8, 3*p = 755*s - 750*s + 13525. List the prime factors of p.\nAnswer: 3, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (25 - -97)*(0 - -1). Suppose -2*j - 4*c = -9*c - 68, 4*j - 3*c = q. Calculate the highest common factor of 3 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5410b99 (base 12) to base 10\nAnswer: 15947685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.2, 49892\/751, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s**2 - 3 + 3)*(4 + 0 - 2) - 3*s**2 + 3*s**2 - 19*s**2.\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 38990911, 38990913, 38990917, 38990923, 38990931?\n\"Answer: q**2 - q + 38990911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 15061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2*v)*(-4 - 3 + 1) + 0 - 6*v + 0 + 3 - 2*v - 1 - 3.\nAnswer: 4*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 125, 248, 369, 488, 605, 720?\n\"Answer: -x**2 + 126*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 25589870 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -8393 >= -75526\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -41, -1, 809 in ascending order.\nAnswer: -41, -2, -1, 809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1054558 is divided by 480.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -43690 by 4369.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the second derivative of -11*n**4\/12 + n**2\/2 - 2689*n. Let u(o) be the third derivative of -o**4\/24 - 2*o**2. Calculate u(w(q)).\nAnswer: 11*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 510 and 11254?\nAnswer: 168810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 4111, 4110, 4109, 4108, 4107?\n\"Answer: -k + 4112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2843 - 2847. Which is the closest to -2?  (a) 4  (b) 2\/7  (c) h  (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 - 23 - (20 - 13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from geeeeejgejgjegegj. Give prob of sequence jej.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 110 divide 7468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 56\/91*(-1)\/(-4). Is 0 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 314 = 2*z, 211 = 3*h + 2*z + 17. Let b(p) = p**3 - 14*p**2 + p + 11. Let x be b(14). What is the greatest common divisor of h and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3.4 - 3. Let v be (6 - 11)\/5*(-5 - -1). Suppose -13 = 5*h - 4*x + x, 0 = -h + 2*x - v. Which is the closest to h?  (a) 1  (b) -2  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -17 - -10 - -11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/4 + 234\/104. Let i be n\/(-18)*-9*58. Calculate the common denominator of ((-40)\/(-16))\/(i\/(-42)) and -1\/2.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 - -6. Suppose a + 2*y = t, 3*a + y - 18 = -y. What is the remainder when a is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((sqrt(270) - sqrt(30))\/sqrt(2))\/(-4*sqrt(180)))**2*2.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 594840 and 2180?\nAnswer: 64837560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1107 is divided by 503?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i = -0*l - 2*l - 6, -3*i - 2 = -4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1104176053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -45, -47, -43, -27, 7, 65, 153, 277?\nAnswer: 443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 57 - 57.2. What is the second smallest value in l, -1\/12, -1, 2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4393 + 4413. Solve 0 = y*b - 18 + 58 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -68*t**2 - 2 + 0 + 80*t**2 + 83*t**2 + 167*t**2 in the form k*t + r*t**2 + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/64 + (2*-1)\/(-8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -756 + 745. Let a(l) = -115*l - 96. Is a(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 4*d**4\/5 - 744*d**3\/5 + 5692*d**2\/5 + 744*d\/5 - 5696\/5 = 0.\nAnswer: -1, 1, 8, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 241\/4 + -60. Factor 1\/4*g**2 - x*g**3 + 1\/2*g + 0.\nAnswer: -g*(g - 2)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -157 (base 8) in base 15?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 5, o: 1, z: 3, m: 1}. What is prob of picking 2 z?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.97 times 5?\nAnswer: -29.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 3*a + 5 = 0, 3*y - 3*a = -5 + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y - 0*y. Suppose 2*z = -y*z + 2. Let p = 1 + z. Solve -p*m = 3*m - 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -8*m - 24. Let u = m - -10. Suppose -3*w = -u*w + 102. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3265983 or 3265981?\nAnswer: 3265983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 502 and -77?\nAnswer: -38654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 11*h**2 + 25 + 18 - 57 wrt h?\nAnswer: 22*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 557 + -339. Suppose 2*z - 156 - y = 0. Calculate the greatest common factor of z and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*l**(-15\/4)\/l*l)\/l*l**(-27))**(-11\/4))**(7\/8) assuming l is positive.\nAnswer: l**(9471\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.57 - -3.57. What is the smallest value in 4\/7, -15, a?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1b8e31 (base 15) to base 3.\nAnswer: -2112101222101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 14 = 2*s, -9*o = -6*o + 2*s - 11. Suppose -18741 = -4*x + 5*n, o*x + n - 1401 = 21989. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*(q*q**0*q)\/q)**(-2\/27))**(-2\/59) assuming q is positive.\nAnswer: q**(8\/1593)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3752362 + -2?\nAnswer: -3752364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 3, y: 1, k: 6, v: 2}. Give prob of sequence aka.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 274148285*g**6 - 7732*g**2 - 617*g - 6 wrt g.\nAnswer: 32897794200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100*u - 96*u - 5*w = 52, 5*w = -40. Sort u, 23, 1, 8 in increasing order.\nAnswer: 1, u, 8, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 15) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*r + 4*r + 4*r**3 - 30*r**3.\nAnswer: -26*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*l + 0 + 2\/3*l**4 - 4\/3*l**3 + 2\/3*l**2.\nAnswer: 2*l**2*(l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 23, 12, -5, -28, -57, -92?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (37\/3)\/((-2)\/(-12))?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 10*((-1098)\/10)\/(-9). Suppose 0 = -c + 5*f + k + 38, c - f - 140 = 0. Suppose -i + 66 - 12 = 0. Calculate the highest common factor of c and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -1*sqrt(108) - sqrt(108))**2.\nAnswer: 96*sqrt(3) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 108784 is divided by 15518.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 109844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -352 = z + 295. Let y = z - -642. Sort 4, 33, -4, y.\nAnswer: y, -4, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n + 6*n + 2*z + 25 = 0, -n + z + 2 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 22212*g + 18123*g + 27362*g - 55879*g as q + y*g and give y.\nAnswer: 11818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -130, -2, 2 in decreasing order.\nAnswer: 2, -1, -2, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4908 + 4907.99995559. What is v rounded to 7 decimal places?\nAnswer: -0.0000444","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -69 - -119. Let u = -49.9999929 + j. What is u rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = q + 20, 0 = 3*q - 7*q + 8. Let r(i) = -i**3 - 10*i**2 - 10*i - 36. What is the hundreds digit of r(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 * 42726754\nAnswer: 85453508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve n**3\/3 + 5*n**2\/3 - 13*n\/3 + 7\/3 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t. Let a(g) be the third derivative of -g**4\/6 - 5*g**3\/6 - 10*g**2. Let h(b) = 12*b + 16. Let i(w) = 16*a(w) + 5*h(w). Give c(i(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 64*l**2 + 129*l + 3. Let j be d(-2). What is the third biggest value in j, 31, 2\/101?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b = -2*b + 250. Suppose -i - b = -2*i. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(80)\/sqrt(5))\/sqrt(2))\/(sqrt(256)*-1) + -4 + 2 + sqrt(24)\/(sqrt(60)\/(1*sqrt(5))).\nAnswer: -2 + 7*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -12*a**2 - 1 + 4*a**2 + 2*a - 4*a**3 + 6*a**2 + 0. What is x(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 472 a factor of 56536928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2009369459.\nAnswer: 461, 4358719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (96 - 17 + 42)*((-1 + 4 - 4)*(1 + 1 + 0) + 1 + 0 + 0 + 1 + 1 - 4 + (-3 + 5 - 3)*(-1 + 1 + 1))*(2*l**2 + 2 - 2) as s*l**2 + c + g*l and give s.\nAnswer: -968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -1  (b) 5  (c) 2  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -490 or -489?\nAnswer: -489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) -1\/2  (c) -351  (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let 80*c**3 - 387400*c**2 - 193715*c - 24215 = 0. Calculate c.\nAnswer: -1\/4, 4843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 12664980 a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1203043 (base 5) in base 12?\nAnswer: -10a81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, c: 8}. What is prob of sequence cdc?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 3*y**3 - 15*y**2 - 7*y - 6. Let a be r(7). Let q = 567 - a. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -76 - -74 - (1 - 1 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -13 by -5443747.\nAnswer: 13\/5443747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 119?  (a) -2\/5  (b) -4\/3  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-1) - -1*10. Let j be i\/5 - 2\/(-5). Suppose -13 - 48 = -r + j*w, -r - 5*w + 75 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*g**17*g*g))\/(g*g*g**(-2\/19)) assuming g is positive.\nAnswer: g**(-397\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(2\/9)*s**(-3\/8))\/(s\/(s**(-2\/19)\/s)*s**(-7))*(s\/((s\/(s\/((s*s*s\/s**(-2\/3))\/s)))\/s))**(-15\/7)\/(s*(s*s**(-1))\/s*s*s*s*s*s**5) assuming s is positive.\nAnswer: s**(-27095\/9576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 37870996 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*w + 98 - 2*w - 103)*(3 - 2 + 0) as t*w + y and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -26*c**5\/5 + 1598*c**4\/5 - 5256*c**3\/5 + 1984*c**2\/5 + 1216*c - 2784\/5 = 0.\nAnswer: -1, 6\/13, 2, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ji when two letters picked without replacement from bjizc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 k, 1 o, and 1 f when four letters picked without replacement from {v: 1, o: 5, k: 3, f: 3, q: 2, c: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:40 AM and 5:21 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/6  (b) 26  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(432) - -5*-3*sqrt(432)) + -2).\nAnswer: 8 + 672*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -31916.00047289 - -31916. Round h to five dps.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 43441 and 12440.66836.\nAnswer: 55881.66836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 3478 = -6*g + 4760, 4*g - 16 = 0. What are the prime factors of c?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 815377 is divided by 17348.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + (-13 - (8 + 35) - -14)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:19 PM and 5:52 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sum -51 and -1340965.\nAnswer: -1341016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -2625 (base 13) in base 2?\nAnswer: -1010100111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4092 and 3195852?\nAnswer: 3195852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 5 times -141346.5\nAnswer: -706732.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -6*p**3 + 4*p**2 + 4*p - 3. Suppose -3 + 9 = 3*x. Let n(q) = -2*q**3 - 3*q**2 + 2*q**x + 5*q**3 - 2*q**3 - q. Give -k(v) - 4*n(v).\nAnswer: 2*v**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 2*p + 47. Let f be z(-22). Let m be 0*(-7)\/(10 - f). Let t = 16 - 8. Sort t, m, -5, 2 in decreasing order.\nAnswer: t, 2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -63079\nAnswer: -2\/63079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6738849\/322 + -20928. Find the common denominator of ((-504)\/(-147))\/8 - 825\/(-378) and v.\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 35 + -927?\nAnswer: -8b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 9085 divide 4002221725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the first derivative of -p**3\/12 + 2219*p**2\/4 - 4923961*p\/4 - 6617. What is y in n(y) = 0?\nAnswer: 2219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 151\/6 - 25. Which is the fourth biggest value?  (a) -1  (b) 5\/3  (c) 0.4  (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - 3 = -3*q, 4*q - a - 2 = -5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 16) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -6, -15, 1.3, -196, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 95 - -39. Suppose q = 5*z - 20, -3*q + 20 = 2*z + 3*z. Suppose z*v - 14 = t. List the prime factors of v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -80, -71, -66, -65?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/4, -4, 2\/21, -2, 0.19, 6\/5 in increasing order.\nAnswer: -4, -2, -5\/4, 2\/21, 0.19, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1013221529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -910977 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q = -5*r + 355 - 374, -4*q = -4*r - 28 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 83727 and 189.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 43.2 - 43.1999793. What is u rounded to 6 decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**18\/d)**(1\/24)\/((d\/d**(-25))\/d*d*d\/d**(-18)*d) assuming d is positive.\nAnswer: d**(-1087\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -98 (base 10) to base 7\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 19a (base 13) in base 3?\nAnswer: 101222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/(-180)*-5*(-30)\/(-3)*3. Let j(v) = 4*v**3 + 2. Let t(k) = 5*k**3 + 2. Calculate l*t(b) + 4*j(b).\nAnswer: -9*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 2*k - 22. Let l be (3\/2)\/((-1)\/(-4)). Let d be p(l). Let m(f) = -8*f - 6. What are the prime factors of m(d)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.8393929 less than -1?\nAnswer: -9.8393929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/1374848 and -25\/38272.\nAnswer: 17873024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 1084*u - 6531. What is x(6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 105\/35 - 2180\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes before 11:02 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 32*38\/2128*(-7)\/(-142)?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1136\/(-213)*((-12)\/4)\/12?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - 0 - (15 - 13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the first derivative of 8\/5*z**5 - 8*z**3 - 1 - 5*z**2 - 1\/2*z**4 + 4*z. Factor s(c).\nAnswer: 2*(c - 2)*(c + 1)**2*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mfoamam. Give prob of picking 2 a, 1 f, and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/(-11 - 1)*2. Suppose -16 = 4*i, 4*i + 20 = 4*q - i. Suppose t = -2*b + 1, 4*b = -q*b - 4*t. Is s at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mbm when three letters picked without replacement from {m: 2, b: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 10791663 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/45*-9*960\/(-9). Suppose -2*x + 262 + f = 0. What are the prime factors of x?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 2\/13, -0.3, -5, -213?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 2*r**3 - 25*r**2 - 169*r + 2213. What is t(9)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the third derivative of 0*z + 1\/8*z**4 + 1\/2*z**3 + 0 + 11\/60*z**5 + 3*z**2. Is k(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -30979 to the nearest 1000.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*y = -8*y + 17. Let m(o) = 20*o**3 + 17*o + 26. Let s(z) = -7*z**3 - 6*z - 9. Calculate y*s(v) - 6*m(v).\nAnswer: -v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 7*l**3 - 2*l**2 - 6. Let y(c) be the first derivative of 13*c - 3 - 15\/4*c**4 + 0*c**2 + 4\/3*c**3. What is -13*f(a) - 6*y(a)?\nAnswer: -a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1 + -25?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -7*y**5 - 5*y**4 - 9*y**3 - 3*y**2. Let w(g) = -6*g**5 - 6*g**4 - 9*g**3 - 3*g**2. Let a(h) = 3*f(h) - 4*w(h). Suppose a(u) = 0. What is u?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2406591 and 3942?\nAnswer: 1971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r + 2. Let c(o) = -6*o + 11. Give 2*c(m) - 11*l(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 127340189?\nAnswer: 29, 4391041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3829 + -1717. Suppose 33*f - 36*f + x = 0. Is 44 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 5, s: 5, d: 4, j: 1}. Give prob of sequence ds.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -93, -250, -411, -576, -745, -918, -1095?\nAnswer: -1276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 480199 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 0.4, -6, -18, 5, -0.2, -2, 5\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -14413747 - -5?\nAnswer: -14413742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 5*j + 5. Let r(q) = -q - 1. Let h = 51 + -50. Determine h*b(i) + 4*r(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 14098747931 plus 2?\nAnswer: 14098747933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -p + 4. Let v be -3 + p + 348 + -4. What is the greatest common divisor of 38 and v?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/3116 and (-469)\/90 + 444\/740.\nAnswer: 28044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14199696 by 72.\nAnswer: 197218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(5\/7))**(-23) assuming g is positive.\nAnswer: g**(-276\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1361*s + 20*s**2 + 0*s**2 - 11*s**2 - 14*s**2 + s**2 to the form p*s**2 + t + l*s and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, a: 1, u: 1, r: 1, h: 1}. Give prob of sequence hvr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 56677, 56599, 56523, 56449, 56377, 56307, 56239?\n\"Answer: q**2 - 81*q + 56757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9554089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 481, 647, 681, 583, 353?\n\"Answer: -66*x**2 + 364*x + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 64866935 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 251 - 295 = -22*l. Suppose 3*u - 4*u = -5. Solve 13 = -u*r - l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 + 8 + 12 + (-1 - (-2 + 5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -36131, -144100, -324041, -575948, -899815?\n\"Answer: m**3 - 35992*m**2 - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65 = -3*m + x, 4*x = m - 3*m + 20. What is the highest common factor of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(119)*-2*6*6)\/((-2*sqrt(686))\/(sqrt(224)\/sqrt(7))).\nAnswer: -432*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v**2 - 2*v**2 + v**3)*(0 - 1 - 1)*(4 - 1 + 3)*(v - v - 3*v)*(0 + 2 + 0).\nAnswer: 72*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78*o + 20 = 3*z + 73*o, -4*o = 3*z + 16. Solve -7*h - 26 - 2 = z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let z be -3 + 2 + 2 + -3. Let c(p) = 0*p**3 + 6 + 7 + p + 2*p**2 - 12 + p**3. Let d be c(z). Let y(b) = -b + 1. Let i(o) = -o + 3. What is d*i(s) + 3*y(s)?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*(13468\/(-5460) + (-5)\/(-3)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -2*f + 14. Let x(c) = 212838*c. Give w(x(l)).\nAnswer: -425676*l + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 23*v - 30*v - 126. Let y be (-50)\/v + ((-180)\/81)\/(-10). Solve -5 = -l - y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9758892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -152*u**5 - 4*u**3 + 979*u**2.\nAnswer: -9120*u**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (6\/144*-3)\/217. Let k = -46583783\/3 - -404347111463\/26040. Let w = k + j. Is -6 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/11?  (a) -0.3  (b) 2  (c) 2\/3  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1404004 (base 7) to base 10.\nAnswer: 186253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 43, 298, 855, 1822, 3307?\nAnswer: 5418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(119)*2)\/sqrt(7) - ((sqrt(51) - sqrt(1836))\/sqrt(3) - sqrt(17))**2.\nAnswer: -612 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes before 5:54 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 10*f + 19 - 3*f + 2*f**2 - f**2. Let p be l(-7). Solve -4*m - p = 4*d + 1, 3*m = -15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y + 3*j + 9, -2*y - 5 = 4*j + 7. Let b(v) = v**3 + 6*v**2 + 1. Let a be b(-6). Let u(r) = -r**2 - 1 - a + 9. What is u(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x + 4. Let p = -11 - -16. Suppose -p = -2*k - 1. Suppose -l + 0 = s + 1, k*l = 5*s - 23. Determine w(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the second derivative of a**5\/20 - a**4\/3 + 2*a**2 - 19*a. What is j(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 2*t + 1. Let g(j) = 5*j + 3. Suppose 3*r - 2*w = -6*w - 4, 41 = -2*r + 5*w. Let m(a) = r*h(a) + 3*g(a). What is m(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 - -a540?\nAnswer: a53b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 59202?\nAnswer: 2, 3, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -768 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*v + 110*v = 19*v + 6*v + 3796 for v.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12801 + -12732. Is 1.39 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, w: 1, e: 13}. Give prob of sequence ew.\nAnswer: 13\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -18390172*h*z - 1258*h + 1015 wrt z.\nAnswer: -18390172*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/205865 and -103\/124110.\nAnswer: 25938990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate i**2*u**2*x + 79435*i**2*u**2 + 115*u**2*x - 49*u*x + 11*x + 2 with respect to i.\nAnswer: 2*i*u**2*x + 158870*i*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x - 3, 6*p + 3*x = p + 44. Suppose 3*n - m = 2*n + 3, 4*n - 15 = m. Suppose 5*t - 51 = -c, -n*c - 127 = -p*c - 2*t. Round c to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 - (-1 + -10 + -72 + 79)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*x - 12 = 14*x. Differentiate 11*m**4 + 12*m**4 - x*m**4 - 12 wrt m.\nAnswer: 76*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((10\/(-2) + 5)\/(-4))\/1. Let w(h) be the third derivative of 0*h**5 + r - 4*h**2 + 0*h - 1\/6*h**3 + 0*h**4 - 1\/30*h**6. Differentiate w(p) wrt p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 29.3883 + -33.585. What is l rounded to 1 decimal place?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39 is divided by 28.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*(b\/(b\/(b\/b**(-2\/3))*b))\/b*b*(b\/b**(-8))\/b)\/(b**(1\/2)\/b)**0 assuming b is positive.\nAnswer: b**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 74\/8037 and -67\/26676?\nAnswer: 1253772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (5\/(5\/4))\/((-36)\/18)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -66 in -4, 2\/7, -2\/3, 1.1, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pew when three letters picked without replacement from ppwppwwpewewp?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7817343*-0.1.\nAnswer: 781734.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 28075303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -21*c + 22. Let y(q) = 4*q - 4. Let m(d) = 2*h(d) + 11*y(d). Suppose -p = -3*p + 6. Let a(j) = -p*j + 5*j - 4*j. Determine m(a(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -41230, -164919, -371060, -659647, -1030674, -1484135?\nAnswer: -2020024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**3 + 34*i**2 - 6*i + 201. Give o(34).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 9\/(-1) + 8 + -3 + 9. Solve 0 = 3*m + s*i - 26, -18*i + 20 = 4*m - 15*i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 237687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -101 - -114. Solve -4*g - q = -6*g + 3*b, -3*g - 3*b = 18 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.4008345 rounded to 1 dp?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-4 + (-1 + 1 + sqrt(432) - (1 + sqrt(432) + 0)**2)).\nAnswer: -1311 - 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 720 + 755 + 2*w - 2224 + 749. Let u(s) = 4307*s. Determine u(y(x)).\nAnswer: 8614*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -0*d + 2*q - 62, -d = -q - 23. Let r = -6 + d. Suppose 2*v + 0*v + 32 = c, 0 = -3*c - 4*v + 56. What is the greatest common divisor of r and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 3*v + 9. Let g be a(-7). Let b(j) = j + 23. Let m be b(g). Calculate the greatest common divisor of m and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 240976 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*s**3 - 550902234*s**2 - 25291105952182563*s.\nAnswer: -3*s*(s + 91817039)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11020100000001 - -12?\nAnswer: -11020022222212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 5*r - 308 = 0, -5*i + 4*r = -59 - 317. Calculate the greatest common divisor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1062, -1705, -2344, -2979, -3610?\n\"Answer: 2*v**2 - 649*v - 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 829606 to the nearest integer?\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-1))**49\/(v**(-2)\/(((v\/(v*v*v**3*v))\/v)\/v*v*v)) assuming v is positive.\nAnswer: v**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -k*r**2*w*y - 2*k*r*w**3*y + k*r*w**3 + 18*k*r*w + 11*r**2*w**3 + 4*r**2*w + r**2*y + 2*r*w**3*y + r*w*y wrt r.\nAnswer: -2*k*w*y + 22*w**3 + 8*w + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1236?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 2*m + 15. Determine b(-37).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -279 < 111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3463 + (8 + -10 - 4)?\nAnswer: 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 1:48 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 75 + 55 = 0. Let k be 24\/9*(-6)\/4. Let s be (6\/(-3) - k)\/1. Solve s*n + z = -3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -367, -1363, -2947, -5119, -7879?\nAnswer: -11227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 2 f when four letters picked without replacement from fkffkrkrf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -5*y + 75, -n = -3*n + y - 63. Let m be ((-1152)\/40)\/(3\/n). Calculate the greatest common factor of 9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3291 - -3294. Let u(l) be the second derivative of 0 + 17\/20*l**5 + 0*l**m - 4*l + 0*l**2 + 3\/4*l**4. What is the third derivative of u(b) wrt b?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 170*u + 121085 = 120405 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -456*s**2 + 232*s**2 + 218*s**2. Let n(g) be the first derivative of -g**3\/3 - 1. Determine n(t(h)).\nAnswer: -36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3\/52 + 491\/52. Let a = -4583 + 6782. Let u = -13237\/6 + a. Find the common denominator of z and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = a + 19, a = -4*q - 6 - 10. Let z be (5\/(-6))\/(27\/162). Let w = -4 + 8. What is the closest to -2 in w, q, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the first derivative of 23*o**3\/3 + 19*o**2\/2 + o - 39. Find the second derivative of q(n) wrt n.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000077254 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.5 - 0.44. Let p = 0.36 - k. What is the biggest value in -4, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6146 is divided by 878.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x, 1 f, and 1 e when four letters picked without replacement from xnxxhehffnxef?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k, -4*k - 2 - 1 = -3*v. Suppose 5*d - 2*o = 1, -5*d + o + 2 = -v. Sort 3, -1, d, -2 in decreasing order.\nAnswer: 3, d, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 443 - -144?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*x**4 + 14*x**4 + 11*x**4 + (-5*x**2 - x**2 + x**2)*(3*x**2 + x**2 - x**2).\nAnswer: 5*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2 + 0 + -2 + -1)*3. Let n be (2 + v\/2)\/(3\/36). What is the highest common factor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/4, 45\/13, 4, 5, -0.2 in ascending order.\nAnswer: -5\/4, -0.2, 45\/13, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -724.656 + -0.344. Let q = 724.98 + v. Which is the second smallest value?  (a) q  (b) 4\/5  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -5285772, -10571529, -15857286, -21143043, -26428800, -31714557?\n\"Answer: -5285757*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 349807319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3526 + -1980. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -51\/17222216 and -79\/968.\nAnswer: 189444376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 52192421*l**5 - 29702916*l**2 wrt l?\nAnswer: 3131545260*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 41 + -21. Suppose -v = 3*v - b. What is the third derivative of y**2 + 11 - y**v - 11 wrt y?\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = 2*k - 6, -2*k = -4*r + 13 - 3. Suppose 5*h - 3 = -n + r, -2*h - 2*n + 2 = 0. Suppose -1 = -a + h. Solve -2*c - o + 11 = c, -a*c - 2*o = -6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1391 divided by 2\nAnswer: 1391\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - -3) + 1 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.058 + -0.058. Let f = l + 0.064. Let t = f + 0.016. Which is the second biggest value?  (a) 0.1  (b) t  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-2535)\/26)\/(-39))\/((-22)\/176)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -2 + -2 + 9 - (45 + -26)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 14 + -22. Is (-11)\/(-2)*(-2 - n) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -5*a + s, a + 5*s - 17 = -0*a. Let d(h) = 2*h**2 - 3. Let g be d(a). What is the second derivative of w + 11*w - 4*w**5 + 13*w**g + 20*w**5 wrt w?\nAnswer: 580*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u + 48 = -2*u. Let n(g) = g**3 + 5*g**2 - 5*g - 2. Determine n(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*z = 626 - 4575. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -5 - -8 - (-103)\/(-1). Let b = 1302\/13 + v. What is the nearest to -1 in 0.4, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/(-1) - (4 + -66). Suppose -5*r + f = -2*r. Suppose -r = -4*l + 31. Calculate the remainder when l is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 278298711.\nAnswer: 3, 139, 222461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 186 a factor of 130790780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the second derivative of 7*f**7\/15 + 7*f**6\/25 - 269*f**5\/50 + 97*f**4\/10 - 104*f**3\/15 + 12*f**2\/5 + 39*f. Solve q(t) = 0.\nAnswer: -3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1063157 - -1751?\nAnswer: -1061406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 46*k + 2. Let g(a) = -208*a - 9. Let b(p) = 2*g(p) + 9*u(p). Let z(j) = j + 1. Let m be z(2). Let x(f) = -m*f - 6 + 6. Give b(x(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 16*r**3 + 5*r**2 - 4 + 9*r**3 - 26*r**3. Let l be f(5). Let y(o) = o**3 + 3*o**2 - 3*o + 6. Calculate the least common multiple of y(l) and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 67 + -65. Suppose -j - g - 4*g = 11, n*g = -8. Calculate the remainder when 13 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3207, 6376, 9545, 12714, 15883?\nAnswer: 19052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x + 7. Let w be h(-3). Suppose -r + w = -2. Calculate the remainder when 32 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*i + 2*i + 103 - 53 - 50.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -1915*c + 76578. Determine g(40).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 51.1 * 0.3.\nAnswer: 15.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 634844708.\nAnswer: 2, 379, 418763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**3 + 7*w**2 + 4*w - 1. What are the prime factors of j(-5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49 = 5*i + 3*f - 2*f, 2*f + 18 = -2*i. Let c(j) = j**3 + 9*j**2 - 13*j - 4. Let p be c(i). Suppose 5*w = -x + p, w - 22 - 24 = -x. Does 17 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 430 and 486545?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k**4 + 0*k**4 + k**4 + (k**3 + 0*k**3 - 3*k**3)*(2*k - 4*k - 4*k) + 2*k**2 - 2*k**4 - 2*k**2)*(-2 + 2 - 8*k).\nAnswer: -72*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 6571 divided by -5?\nAnswer: -6571\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/(-8) - (-6743)\/88. Calculate the highest common divisor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i + 0*i + 5*i)*(0*i - 2*i - i)*(-5*i**3 + 5*i**3 - 6*i**3 + 0*i**3 + 0*i**3 - i**3 + (5 - 3 + 0)*(0*i**3 - 2*i**3 + i**3)).\nAnswer: 108*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 258873?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1)\/h*h**5)**(-24)\/(h**(5\/4)\/h*h*h*h**(2\/25)*h*h*h)**(-37\/3) assuming h is positive.\nAnswer: h**(-1879\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 0 - 5*v as z*v + m and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1101101001010010 - 11111101111?\nAnswer: -1110001001000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64417*o + 972 = -64399*o + 128789*o for o.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -864?\nAnswer: -1\/288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 1 - 4 + 4 + u + 0*u. Let d be v(1). Calculate the common denominator of (2877\/(-18))\/(-7) + d and 47\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**3 + 12*c**2 - 12*c - 8. Let l be v(11). Let x = l - -23. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) 0.3  (b) -22  (c) 1965\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sv when two letters picked without replacement from ggvgssvggvvv?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -73827*b**2*h**2 + 3*b**2*h + 22*b**2 - 406*b*h + 186*b + 2*h**2 wrt b?\nAnswer: -147654*h**2 + 6*h + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 bigger than -3.15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*m - 5. Solve -5*g + g - 4*f + 20 = 0, m = -4*g + 4*f - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43443799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -75, -267920, -3 in decreasing order.\nAnswer: -3, -75, -267920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4877 + 4879. Let m = -17 + 11. Calculate the remainder when 62 - 11 - m\/l is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 289490 to the power of 1\/2, to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from wwmwmwemvmm?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1, 86, 5, 2 in descending order.\nAnswer: 86, 5, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -3021.6 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7409 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 33899*o + 339015. Give k(-10).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3865 - 2527?\nAnswer: 133a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -3*q**2 + 361*q + 10654. What is p(-27)?\nAnswer: -1280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1106719 by 3.\nAnswer: 1106719\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1985.7 + 1993. Are -0.6 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 423233271?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 57*c - 542. Calculate w(9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -3*o**2 - 33*o - 66. Let s be w(-8). Suppose 45*n - s*n + 195 = 0. Put n, -408, 2 in decreasing order.\nAnswer: 2, n, -408","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z**3 + 4*z**2 + 8*z**2 - 1 - z**2)*((2 - 2 + 2*z)*(-3*z + 3*z + z) + 4*z**2 + 6*z**2 + 2*z**2).\nAnswer: 28*z**5 + 154*z**4 - 14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -3*w + 6*w + w**2 - 3*w. Let y(b) = 6*b**2. Determine j(y(u)).\nAnswer: 36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -121*i**3 + 252*i**3 - 117*i**3.\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/5 of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 4*x**2 - 5*x + 2. Let p be m(4). Let h = p - 6. Let w = 24 - 14. What is the highest common divisor of w and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*u - 14 = 4*u. Put -9, -2, u, -4 in decreasing order.\nAnswer: u, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -36 - -36. Sort -2, l, -5 in descending order.\nAnswer: l, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*g**3 - 89 - 5 - 51 - 1727*g**2 + 1727*g**2 - 88*g**4 wrt g.\nAnswer: -352*g**3 + 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*h + 4*l, 0 = -4*h + 3*l + l - 32. Let u(a) be the third derivative of 0*a - 1\/24*a**4 + 0 + 1\/2*a**3 - 4*a**2. Give u(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -29 - -16. Let z = -5 - k. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 429657 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4\/(-3))\/((-2)\/(-3)). What is the nearest to v in -1, 0.1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16 - -17. What is the least common multiple of 40 and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 358, 732, 1120, 1528, 1962, 2428, 2932, 3480?\nAnswer: 4078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the third derivative of -11\/60*d**5 - 105*d**2 - 7\/12*d**4 + 1\/120*d**6 + 5\/3*d**3 + 0 + 0*d. Determine t(12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4 - (-1 - 0))\/(-1). Suppose r*p - p = 70. Suppose -2*k - o + 34 = -5*o, 3*o = -4*k + p. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -12 - 19?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -6a - 6?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 56 = -5*n - 5*q, 3*n = 2*q + 19. Let x = n - 5. Suppose -3*d - x - 2 = 0. What is the closest to d in -2\/7, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in j - 2*j + j + 8*j**2 + j**3 - 14 + 72*j**3.\nAnswer: 73*j**3 + 8*j**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 32*w - 433*w**2 + 5174*w**2 - 32*w + 1518*w**2 + (2 - w - 2)*(-1 + 2*w + 1).\nAnswer: 6257*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 d when two letters picked without replacement from kykdddfkfds.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0013534934 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 132 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -18433 - 13?\nAnswer: -18446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:00 PM and 7:53 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1032813, -1032814, -1032815?\nAnswer: -1032816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25306*a + 50596*a + 1 - 25289*a.\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -36 divided by 64427?\nAnswer: -36\/64427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1100) - sqrt(99)\/(sqrt(9)*-3).\nAnswer: 31*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-900)\/110 + 15 + 4\/22. Solve 2*l - 2*h + 10 = -b*h, -5*l = 4*h - 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5 + 54\/12 - (-35)\/(-72) and 101\/156.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.3, -2\/3, 1\/2, -0.3, 20?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v = -v + 84*v + 77*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 3*f = 11862, 2545 = v - 2*f + 157. Calculate the greatest common divisor of 20 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -12*l**2 - 2*l - 6. Let c(v) = 11*v**2 + 2*v + 5. Suppose 70 = -101*z + 87*z. Determine z*m(d) - 6*c(d).\nAnswer: -6*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qb when two letters picked without replacement from qqqqqqbqqqqqqbqqqq.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1398917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*d - 4*b - 44 = -9*b, 2*b = 4*d + 6*d - 2*b - 14 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w - 5. Let g be c(-8). Suppose l - g*l + 2 = 0. Suppose -34 = -15*m + 38 - 12. Solve k + n - 5 = -l, -5*k - m*n = -18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 676335289 to the nearest integer?\nAnswer: 26006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1152247 less than or equal to 1152247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 35 - 23. Calculate the remainder when 35 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 s when two letters picked without replacement from {d: 2, g: 2, s: 11}?\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 105726 is divided by 2753?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -825*d + 826*d = -3*z + 3401, 3*d - 4*z = 10320. What are the prime factors of d?\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 41634 - 41634. Solve 12 = 2*x, 2*v = -4*x - d + 34 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w**3\/11 + 154760*w**2\/11 + 309512*w\/11 = 0.\nAnswer: -77378, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 35.46497t?\nAnswer: 35464970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*l - 3*l - 2*l + (-4*l + 6*l - l)*(422 - 483 + 3073).\nAnswer: 3011*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**3 - 5*m**2 + m - 17. Let g be u(-6). Suppose 0 = 2*t + 3 - g. Suppose 0 = -5*v + 4*d + 200, -9*d + t*d = 0. Is v a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**3 - 287*c**2 + 1. Let y(o) = -2*o**3 - 2*o**2 - 1. Calculate w(k) + y(k).\nAnswer: -k**3 - 289*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -412*s - 820. Let i be w(-21). Calculate the highest common divisor of 88 and i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 1 + (-6 + 3 + 0)*(-2 + 2 + 1))*(-27 + 5 + 241*f + 22).\nAnswer: -964*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 3 + 1. Suppose x*n - 16 = 72. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 86\/19 or 4?\nAnswer: 86\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (87\/58)\/(25\/(-68)) - -4. Which is smaller: 27 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.1 - 0.9. Let g be (-2 + (-4 - -5))\/(-4). Which is the closest to y?  (a) g  (b) 0.4  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(27)*4 + 2 + sqrt(363))**2 - (6*(-4*sqrt(243))**2 + -1).\nAnswer: -21736 + 92*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h + 13*h = -18905. Let m = -1670 - h. What is m rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -20  (b) 0.3  (c) -2  (d) -0.6  (e) -1\/6  (f) -324\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(18)\/(sqrt(30)\/sqrt(5)) + sqrt(3) + (-1*sqrt(27))\/sqrt(9).\nAnswer: sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16\/15 - 7\/5. Let o = -2 - -10. Suppose -2*v - 2 = -3*z + 2, -4*z = 4*v + o. Put v, d, -1 in decreasing order.\nAnswer: d, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 6*d + 99. Let c be z(-16). Let t(m) = 106*m + 22. Let r be t(c). What is the greatest common divisor of 34 and r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 19*q - 384. What is x(20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -6*q. Let c(u) = 10*u**2 + 3*u - 9. Let n(z) = 91*z**2 + 28*z - 84. Let i(r) = -28*c(r) + 3*n(r). Determine p(i(j)).\nAnswer: 42*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7185?\nAnswer: 3, 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 - -5. Suppose -4*p - i + 7 = -8, -i = 3*p - 12. What is the second derivative of 2*n**3 + 0*n**p - n**3 + f*n wrt n?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10 + -9 + 12 - -20 - 31) + 35.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 + 4. Suppose -105 = -b*j - 0*j. Suppose -j - 15 = -4*g. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -2  (b) 2\/7  (c) -0.3  (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2706\/(-270) - (30\/27)\/(-5) and 81\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 454065?\nAnswer: 3, 5, 30271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5404089?\nAnswer: 3, 1801363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 17*g + 433 - 208 = 0. What is the least common multiple of (-50)\/(-4)*36\/15 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 1572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -141*d - 5168 = 163*d for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + ((-11 - -5) + -2 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 7*x**2 + 16*x - 105. What is g(5)?\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of -v**6\/1440 - v**5\/480 + v**4\/48 - v**3\/6 + 3*v**2. Let m(y) be the first derivative of l(y). Find g, given that m(g) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -8*v**3 - 14*v**2 - 14*v - 3. Let k = 14 - 19. Let t(o) = -39*o**3 - 69*o**2 - 69*o - 15. Let h(u) = k*t(u) + 24*i(u). Let h(d) = 0. What is d?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 272471613565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -14*n**2 - 26*n + 16. Let s be d(-6). Let t = 955 + -1546. Let j = s - t. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1512861 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -22020332 (base 5) to base 11\nAnswer: -119975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3)\/((-39)\/(-104)*-4*1). What is the highest common factor of l and 212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 586971 and 7029.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8203, -16260, -24317, -32374, -40431, -48488?\nAnswer: -56545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*i - 16, -3*t + 72*i - 69*i - 3 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**2 + 11*b + 6. Let o(q) = q + 1. Let u(n) = -3*o(n) + w(n). Suppose 19*r - 14*r = -40. Is u(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 4*v + 100 = 4*h, -2*h + 4*v + 12 = 0. Let m be (-4*18\/96)\/((-2)\/64). What is the greatest common divisor of h and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 3, f: 3, t: 1, h: 1, d: 6, l: 1}. What is prob of sequence thv?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 1034 divide 470941372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h = -183 + 233 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*l + 3*l**2 - 2*l - 2*l**3 - 4 + 0*l to q + n*l**2 + m*l**3 + d*l and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 2\/11, 4, -4, -901\/2557?\nAnswer: -901\/2557","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 561, 558, 553, 546, 537, 526?\n\"Answer: -b**2 + 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 33161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 164989519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6\/(-3 + 0)*228\/(-8) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18987817 to the power of 1\/3, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum -881 and -11299.\nAnswer: -12180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2*b**2 - 1)*(-44 + 201 - 2 + 407).\nAnswer: 1124*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (32\/6 + (-4)\/1)\/(5\/30). Suppose -2*u + 40 = 3*u. Calculate the greatest common divisor of u and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the third derivative of k**5\/60 - 3*k**4\/8 - 7*k**3\/6 + 29*k**2. Let u(c) = 2*c**2 - 17*c - 14. Let z(h) = 5*l(h) - 3*u(h). Calculate z(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 6, 12, 26, 54, 102, 176, 282?\n\"Answer: v**3 - 2*v**2 + 5*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -3*d - z, 4*z + 6 = -5*d - 11. Let a = -111 - -1441\/13. Let l be (16\/20 - 1)*0. Put d, l, -5, a in ascending order.\nAnswer: -5, d, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*h = -4*h - 8. Suppose 4*o + 0*x = -h*x + 114, 3*x = -o + 36. Suppose -5*j + 2*j + o = 0. Calculate the lowest common multiple of 5 and j.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 73 + 21908*h**2 - 21924*h**2 - 73.\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the third derivative of u**6\/120 - 7*u**5\/60 - u**4\/12 - u**3 + 636*u**2 - 2*u. What is t(7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*c**4 + 0*c**4 - c**4 + (-c**2 - 2*c**2 + 2*c**2)*(6*c**2 - 2*c**2 - 3*c**2) + (-4*c**4 + 7*c**4 + 2*c**4)*(513 - 881 - 1182).\nAnswer: -7752*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -38*q**3 - 39*q**3 - 2544*q + 79*q**3 + 22 - 22 as n*q**3 + p*q + k*q**2 + m and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 39 by -13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6601, -6602, -6603?\nAnswer: -6604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 1933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1776953540.\nAnswer: 2, 5, 29, 3063713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than or equal to -38\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 37141 and 0.1?\nAnswer: 3714.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -173353.28 rounded to the nearest one thousand?\nAnswer: -173000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g - 6 + 9. Put g, -5, -3 in ascending order.\nAnswer: -5, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8 + -10. Let a = -1.4 - -3.4. What is the second biggest value in r, -0.4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a - 3. Suppose 4*n = 2*n. Calculate l(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.95 + -2.15. What is the nearest to t in 49, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -11 + 360?\nAnswer: 34e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*(x\/(x*x**3*x*x*x*x))\/x)\/x*x**(-3)\/x)\/(x*(x**3*x)\/x*x*x\/(x*x**(-1\/7))))\/(x**(-3)\/(((x*(x\/x**(1\/2))\/x)\/x)\/x*x))**(28\/9) assuming x is positive.\nAnswer: x**(-590\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(88) + sqrt(88))\/sqrt(8) - (sqrt(11) - (sqrt(11)*2 - sqrt(11))*5)) + (sqrt(1584)*2*2 - (sqrt(1584) - (-2 + sqrt(1584)*1 + sqrt(1584))))**2.\nAnswer: -232*sqrt(11) + 39604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**2 - 2433*z + 109794. Give k(46).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6 - -14. Let h = z - 8.1. Which is the third biggest value?  (a) 0.4  (b) h  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5708 - -5705. Let i = -6 + 4. Which is the closest to 3?  (a) l  (b) i  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.57 rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -22*k + 5. Let v(z) = 3069*z - 1523*z - 1531*z - 3. Give 5*t(u) + 8*v(u).\nAnswer: 10*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.1, -0.6787, -2\/7, 2\/9 in ascending order.\nAnswer: -0.6787, -2\/7, 2\/9, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 - (4 + -5)*2. Suppose -x = -2*d + d. Let p be -3*4\/(-6) + d. Sort p, -5, -1 in decreasing order.\nAnswer: p, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 3*j + 77. Let s be z(-26). Let x be (-378)\/(-168)*(-4)\/s. Solve -5*y + 20 = -c - 3, 3*y - 3*c - x = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = 5*g, -4*b + 4*g + 40 = -44. Let k = b + -10. Suppose 2*t - 3*v + 8 = 0, -5*v + v = -5*t - k. Calculate the remainder when 4 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*((sqrt(325) - sqrt(325)*-1) + 5) - ((sqrt(325) - (sqrt(325)*-1 + 1)) + sqrt(325) - 5*(sqrt(325) + 2*sqrt(325) + sqrt(325))))**2.\nAnswer: 8990*sqrt(13) + 274286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1283 is divided by 352?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 - 11. Let u = z - -4.5. Let p = -69 - -64. What is the biggest value in u, p, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -4*g + 4. Let u be y(6). Let z be (-7)\/u - (-9)\/(-15). Let n be (-222)\/42 - 4\/(-14). Which is the second biggest value?  (a) n  (b) -0.1  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-848)\/(-24))\/((-2)\/(-6)). Let a = 164 - y. Does 29 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/5, 559, 1, 0.2 in increasing order.\nAnswer: 0.2, 3\/5, 1, 559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 13 = 3*m, 4*m = -2*j - 14 - 12. Let u be (j\/60)\/((-2)\/(-4)). Let b = -5 - -3. What is the closest to b in u, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -6453\/2, -2\/7, 4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6 + -3 + (-3 - -3). Suppose s + 2*s - 15 = 0. Differentiate -s - j*r + 3 + 4*r wrt r.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**3 - 708*a**2 + 167088*a - 13144256.\nAnswer: (a - 236)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3843307*n**2 - 8470311?\nAnswer: 7686614*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 62950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 84*m - 82. What are the prime factors of v(15)?\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -185\/4, -110.6, 0.2?\nAnswer: -110.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does -273 = 3220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 52314439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -29761*l**2 + 25*l - 1083715.\nAnswer: -59522*l + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1714964 or -1714869?\nAnswer: -1714964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*p - 51 - 20 = -287 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18 + 26 + 23*x - 10)*(-4 + 4 + 1).\nAnswer: 23*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) 9\/7  (c) -1\/202\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 12\/9*(-9)\/(-2). Solve q*k + 380 = 362 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 86622 is divided by 164.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + 2 - -5 - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((-1512)\/(-90))*27\/(-90)*2.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3873301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 8*c + 25. Let p(j) = -j - 1. What is n(k) + 6*p(k)?\nAnswer: 2*k + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the first derivative of p**6\/18 - 7*p**5\/3 - 37*p**4\/6 - 2*p**3\/9 + 73*p**2\/6 + 37*p\/3 - 485. Factor q(i).\nAnswer: (i - 37)*(i - 1)*(i + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10\/((-3)\/(-3)*6\/(-3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q. Let c be i(3). Solve -p = 2*y - c*y + 5, 0 = y - 2*p - 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + b + b**2 - 5 + 4 + 1 + 2*b**2 - 1 + (2 - 2 + 13*b)*(5*b - 3*b + b) + 3*b**2 + b - b.\nAnswer: 45*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**3 + 17*i - 2. Let m(q) = -q**3 - 35*q + 3. Calculate -3*m(d) - 5*u(d).\nAnswer: -2*d**3 + 20*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4516424\/125 or -36131?\nAnswer: -4516424\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 - -1.1. Let c = 0.1 - y. Let s = 0.2 - 0. Put s, -3, c in descending order.\nAnswer: s, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 21 - 7. Let q = -9 + y. Solve 13 = -q*u - 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 441 - 473. Calculate the common denominator of 70\/k*(-6)\/(-48) and -59\/6.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 79*r + 2. Does 10 divide d(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from vzzzzzvzzvzvzv?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1310649.\nAnswer: 3, 17, 31, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d. Let y(w) be the first derivative of 10*w**3\/3 - 29*w + 3739. Give y(m(q)).\nAnswer: 10*q**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 200 - 111. Let x = p - 90. Let c = 13.86 - 14. Does x = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 148791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 3 + 2)*(2*n - 6*n + 2*n)*(0*n + 0*n - n**2).\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*c + 3*c + 0*c)*(0 - 1 + 4)*(5*c + 9*c + 6*c) in the form q + z*c**2 + o*c and give z.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(25)\/sqrt(5) + 4 + 3*(sqrt(5) - (0 + sqrt(5) - sqrt(5))))**2 + 1*((2*sqrt(35)\/sqrt(7) - sqrt(5) - sqrt(5)) + sqrt(5)).\nAnswer: 33*sqrt(5) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3.6 + 1.6. Which is the biggest value?  (a) -3\/5  (b) m  (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.102 + 3.548. Let l = g - -0.35. What is the closest to 1 in l, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -376, -257, -138, -19, 100, 219?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 20*i**2 + 3*i + 5. Let t(g) = 19*g**2 + 2*g + 4. Suppose -134*j = -483*j - 1047. Determine j*t(h) + 2*v(h).\nAnswer: -17*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the second derivative of 3*m**5\/20 - 3*m**4\/2 + 9*m**3\/2 + 24*m. Factor o(c).\nAnswer: 3*c*(c - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -4*z - 18, -2*z + 12 + 34 = 4*v. Let i be -33*1\/((-9)\/12). What is the greatest common divisor of i and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -25*n**4 - 2 - 8*n + 7*n - 12*n**4 - n**2 - n**3 as z*n**2 + c*n**3 + q*n**4 + x*n + w and give q.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/h**(-2\/29))\/h)\/h*h*h**(2\/5)*(h\/(h\/(h\/(h\/h**(-15\/8)))))\/h*h**(-1\/21) assuming h is positive.\nAnswer: h**(-59771\/24360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3516705835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s - 5 = -2*o, -4*o - 117*s = -122*s + 35 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = 0, 3*p + 17*n + 11 + 64 = 16*n. What is the closest to p in 0, 3\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16*b**4 + 26*b**4 + 20*b**4 - 9 - 45*b**4 - 7*b**2 to the form o + k*b**4 + a*b**2 + h*b**3 + q*b and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -19  (b) -404\/7  (c) -3  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.9 - -0.9. Let r = -0.999996 - y. Round r to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 - 4*z**2 - 5 - 8*z**2 to t*z + c*z**2 + n and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 46*y**2. Let d(g) = -106*g**2 + 15*g - 6. Let i(a) = -69113*a**2 + 9785*a - 3914. Let t(b) = 1957*d(b) - 3*i(b). Determine w(t(h)).\nAnswer: 488014*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*k**2 + 0*k**2 + 3*k**2 + (-3 + 3 - k)*(-k - k + 0*k) - 3*k**2 + 3*k**2 - 6*k**2)*(0*k + 2*k - 4*k).\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-260)\/50)\/13*(-2)\/1.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 6 = -2*l, -4*l + 27 + 1 = 2*g. Let u = -12 + l. List the prime factors of (0\/2 - u) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**2 + 7*r - 4. Let y be (-10)\/3*(-27)\/15. Let z be f(y). Solve 3*u + z*u = 3*i + 13, u + 4*i = -2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 - 5.3. Let a = 31 + -36. Let x = -14.8 + 15. What is the biggest value in x, q, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 5 - 2. Suppose 2*c - 4*c + 2 = 2*r, -5*r - 7 = c. Let d = k - r. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 15, 5, -0.5 in descending order.\nAnswer: 15, 5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -990, -942, -862, -750, -606, -430, -222?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*s, z + s - 2 = 68*s - 2*s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/219, -1\/5, 0.4, 1\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.078 to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(44)*2)\/sqrt(2) + sqrt(22) + -1*sqrt(22)*-1)\/(4*(sqrt(11) + sqrt(11) + sqrt(176)) - 1*sqrt(891)).\nAnswer: 4*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 3128, 5754, 8894, 12806, 17748, 23978?\n\"Answer: 43*x**3 - x**2 + 2328*x + 758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1529 divided by 27096.\nAnswer: -1529\/27096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the third derivative of -y**6\/360 - 7*y**5\/120 + y**4\/2 - 73*y**3\/6 + 4*y**2 + 8. Let b(t) be the first derivative of u(t). Calculate b(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.063533 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*y - 12*y - 2320*y**3 + 2416*y**3.\nAnswer: 96*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -2*q**4 - 21*q**3 - q + 1. Let l(j) = 81*j**4 + 97*j**3 - 3313*j**2 + 5*j - 5. Let v(b) = l(b) + 5*z(b). Find the third derivative of v(d) wrt d.\nAnswer: 1704*d - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9410797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -83, 5, 9, 1 in increasing order.\nAnswer: -83, -1, 1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of 100 and 64392.\nAnswer: 6439200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d**2 + 5*d - 5. Calculate the remainder when x(4) is divided by -1 - -2 - ((-5 - -2) + -12).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.286, 1, -32\/5, -0.4, 7 in ascending order.\nAnswer: -32\/5, -0.4, -0.286, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -27 - 23. Let i = b - -27. Solve -4*k + 4*x - x + 7 = 0, i*x = -k - 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 * -435215.\nAnswer: -87043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53 = -3*s + 2*k, -4*k + 104 = -0*s + 4*s. What is the remainder when 11\/4 - (-3906)\/72 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11 + 25. Let l be ((-60)\/(-36))\/(2\/6). Suppose l*x + 2*z = -2*z + 48, -5*z = -x + 27. Calculate the least common multiple of x and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1957?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 51*53\/7208*-88\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t + 0*t - d = 5, 4*t - 14 = -2*d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the second derivative of -8\/3*u**3 + 0*u**2 + 13\/30*u**6 + 0*u**5 + 0*u**4 + 9*u + 0. What is the second derivative of v(p) wrt p?\nAnswer: 156*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 41 + -49 - (1 - 3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the first derivative of 11*m**4\/2 - 55327. Suppose -6 = -h + 3*h. Let z be 3\/9 + (-2)\/h. Determine o(z).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7919092?\nAnswer: 2, 1979773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/5 - (-64)\/(-20)*-21. Solve 0 = -j*i + 53*i + 15 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 223\/7 - 1101\/35. Solve 6\/5*r**2 - m*r + 8\/5*r**3 + 0 = 0 for r.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1170 is divided by 356?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 6*m - 3*m + 54 = 0, -5*m = 3*g + 58. Let p(v) = -3*v - 22. Let h be p(g). Suppose 0 = -w + 91 - h. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 228543.505 and 3.\nAnswer: 228546.505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -5*i + 22, 2*h + 10*i = 13*i + 57. Let m(y) = -y**2 - 7*y - 6. What is the remainder when h is divided by m(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*x - 36 = 21*x. Let s = 15 - x. Calculate the least common multiple of s and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.423211 seconds in milliseconds?\nAnswer: 3423.211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -3 - (45\/2)\/15 and 95\/786.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -2\/937759?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -2*k**3 + k**2 - 3*k + 2. What is x(2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x + 62 = 3*d + 15, 0 = -2*x - 14604*d + 14607*d + 1 - 17 - 10 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 times 19490?\nAnswer: -3898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, n: 7, a: 6}. What is prob of picking 2 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w**2 + 376808*w + 8874016804 = 0. Calculate w.\nAnswer: -47101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffffffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a meter in centimeters?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -149\/4393512 and -53\/3417176.\nAnswer: 30754584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4567291)\/1640 + (-2)\/(-5). Let w = n - 11822\/41. Let y = w + 3062. Calculate the common denominator of -71\/16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14677949 divided by 102643.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10144 and 60?\nAnswer: 152160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 2*g - 84, -j - 24 = -g - 6*j. Let v = -6 - -30. Let o = g - v. Solve -5*i + i = o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c*c**4)*c)\/(c*c\/(c*c**5)))\/((c*c\/((c\/(c*c*c**(-2\/3)))\/c))\/c*(c\/((c**(2\/7)*c)\/c))\/c) assuming c is positive.\nAnswer: c**(-22\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 511 and 73.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7742 - 7745. What is the third biggest value in s, 2, 3\/13, -2\/15, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3105 - -3369. What is the greatest common divisor of z and 1122?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -225*z = -642 - 33 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2681.\nAnswer: 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u + u + 20. Let l(s) = s**3 + 6*s**2 + 5*s. Let j be l(u). Find f, given that j*f**2 + 2\/3*f**5 + 0*f**4 + 2\/3*f + 0 - 4\/3*f**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 312*y - 13 + 9 - 5 + 5.\nAnswer: 312*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12954 is divided by 2158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72 = 25*d - 34*d. Let p(v) be the third derivative of -v**5\/60 - 3*v**4\/8 - 2*v**3 + v**2. Calculate p(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -3*k - r, 5*k - 5*k + 64 = -4*k - 106*r + 110*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.248 + 0.252. Let h = -1 + 1. Let z = 0.1 - h. Which is the closest to z?  (a) j  (b) -1\/7  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/2  (b) -0.2  (c) 21675\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -8*q**2 - 2*q. Let u(y) = 3*y**3 + 507*y**2 + 31728*y + 144060. Let c(o) = -u(o) + 12*z(o). Factor c(w).\nAnswer: -3*(w + 5)*(w + 98)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2229072 rounded to the nearest 10000?\nAnswer: -2230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 6481645 divided by 5?\nAnswer: 1296329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.556 - -0.144. Sort s, 3\/5, 1\/2 in descending order.\nAnswer: s, 3\/5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 - -3. Solve a = -5*c + 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 8:48 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*p**2 + 2*p**2 - p**2 + (1 - 1 + p)*(58 + 23*p - 58) + 2 - 3 + 81*p**2 - 49*p**2 + 1 - 51*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 495977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is f + 1a?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2465298ml to litres.\nAnswer: 0.0002465298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 67*w - 4162. What is s(62)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 36646723226 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 142\/9*q - 2\/9*q**2.\nAnswer: -2*q*(q + 71)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14\/(1288\/(-138))*(-52)\/18*-3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 255, -166, -587, -1008, -1429?\n\"Answer: -421*x + 676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-l - 2*l**2 + l)*((l - 1 + 1)*(61 - 18 + 70) - 3*l + 2 + 8*l + 1) to x*l**2 + c*l + b + z*l**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -56, -75, -90, -101, -108, -111?\n\"Answer: 2*r**2 - 25*r - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 2*j = 40, 3*f = -0*f - 5*j + 37. Let t = 22 - 14. What is the lowest common multiple of f and t?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-2 + -5 + -5*-2*sqrt(612)*2).\nAnswer: -480*sqrt(17) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 - -31. Calculate the highest common divisor of 36 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 2 - (-7 + 3 + 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 2*k**3 + 2*k**2 - 9*k + 4. Let b be d(2). Suppose 12*v - b*v = 20. Suppose -j + v = j. Solve j*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that 3*c**3\/8 - 4501569*c**2\/8 + 211097842131*c - 19840711246701\/2 = 0.\nAnswer: 47, 750238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -585 - 754 = 106*n - 3*n for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 18039590 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -621*t = -616*t + 40 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-24948)\/30)\/9*(-7 + 2)?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3247?\nAnswer: 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5299 + 5299.0000777. What is a rounded to six dps?\nAnswer: 0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 215*q + 2*c = 213*q - 4, 2*q = 2*c - 12. What is the closest to -0.2 in q, 24\/37, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1230 and 231486.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15*-18.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(44) - (sqrt(220)\/sqrt(5) + sqrt(44)))*2)\/(sqrt(12)\/sqrt(3)*3).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*z = 8*z + 44*r - 134, 0 = 2*z + 3*r - 93 for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the first derivative of -276*m**7\/7 - m**3\/3 - 187*m**2 - 903. Find the third derivative of t(l) wrt l.\nAnswer: -33120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 - 3 + 4)*(-j - 2 + 2) + 0*j - j - j + 3*j + 3*j - 4*j)*(1154*j**4 - 1266910*j + 1266910*j).\nAnswer: 1154*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes after 4:10 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6\/(-10)*-5 + 105\/(-33). What is the second biggest value in u, 0.2, -1, 2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -58 - -88. Suppose r + 2*v + j = 5*r, -5*r + 42 = 2*v. Suppose u + r = 3*u. Calculate the remainder when 13 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from {f: 2, p: 4, c: 4, h: 2, x: 2}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 11\/204  (b) -1\/11  (c) 3  (d) 132  (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 171*b - 28*b = -10*b + 918 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 527959083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.1?  (a) 0.3  (b) 2\/1993  (c) -2  (d) 1\/4  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3.62 in 0.01416, -2\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 3*k**2 - 184*k - 1702. Give p(-10).\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -3580 > -476323\/133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**5 - 30*u**4\/7 - 18*u**3\/7 - 2*u**2\/7.\nAnswer: -2*u**2*(u + 1)**2*(7*u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7350 and 27006?\nAnswer: 4726050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -241*y = -l - 244*y + 8, -l - y + 4 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 298*u + 30. What is the hundreds digit of g(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 52 + 61 = 3*v, 0 = -3*m + 3. Let q = -115\/3 + v. What is the biggest value in q, -1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 0*i + i = -126, -5*t - 4*i + 210 = 0. Suppose -2*u = -u - t. Suppose -u = -f - 3. What are the prime factors of f?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2.3?  (a) -2\/3  (b) 1  (c) 59  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 238 divide 134689357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 380\/6*12\/(4\/2). Suppose -s - 3*s = -m. List the prime factors of s.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 p when two letters picked without replacement from {o: 1, k: 4, l: 3, r: 2, p: 2, q: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-96)\/60*((-27)\/(-6) + -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 2\/13  (b) -5  (c) -46  (d) 1754\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -25 + 30. Suppose -j*w - 13 + 23 = 0. Suppose 0 = -b - w. Which is smaller: b or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1833\/76780 - 2\/1745. Find the common denominator of -17\/32 and l.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-48)\/(-100))\/((-280)\/7000)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6 + 3 + -5 + 0. Let n be (-5)\/((-10)\/z)*1. Find the third derivative of 8*m**4 - 4*m**2 - 6*m**4 - m**2 + 4*m**n wrt m.\nAnswer: 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2542 + -2540. What is the nearest to -2 in 11, n, 2\/11, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -131 - -134. Solve -l*s = -4*m + 4, 3*s + 4 + 2 = 3*m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0*(-5)\/(-20)*4. Solve v = -17*d + 12*d - 5*n + 30, -4*n + 20 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**2 + 5690*v + 1071539. Determine o(-195).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -440*a + 2105493 + 1259187 = 0. Solve -7584 + a = 9*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -15998 - -16721.97. Let g = -727 + b. Round g to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 57, -0.2, -4\/7 in descending order.\nAnswer: 57, -0.2, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x**3\/5 + 1585916*x**2\/5 + 18503126*x\/5 + 11630564\/5 = 0. Calculate x.\nAnswer: -11, -2\/3, 264331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 23282756149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4166, -8385, -12582, -16745, -20862, -24921, -28910?\nAnswer: -32817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2\/120221, -3\/7, 1, -37.\nAnswer: -37, -3, -3\/7, -2\/120221, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*u - 11513 = -11567 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40794 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (20640\/170)\/(-12) - -10\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*v - 564 + 30*v - 58*v - 38.\nAnswer: -v - 602","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4 + (-2 - (-3 - -4)). Let x be (h - -5)*((-33700)\/3)\/(-2). Round x to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 137.16 + 1.84. Let k = m + -139.1. Which is smaller: -47 or k?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -21*n**2 - 4*n. Let c be g(3). Let j be 5*15\/25*(-114)\/(-1). Let l = c + j. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1\/56  (b) -9\/14  (c) 1  (d) 0.85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 16 = 2*m. Suppose -j = -0 - 3. Suppose -u - m = -j*u. What is the smallest common multiple of 12 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 12\/(-9) + ((-39545)\/(-1122) - 2\/(-4)). Do 35 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5\/(-15)*45\/(-26). Let c = -19\/26 + r. Put 1\/2, 2\/11, c in decreasing order.\nAnswer: 1\/2, 2\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 10*h**3 - 44*h**2 - 11*h + 1. Let y(a) = 4*a**3 - 15*a**2 - 4*a. Let n(f) = 3*q(f) - 8*y(f). Let x be n(-6). Solve x = 11*r - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 5819448122?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 o when two letters picked without replacement from {u: 2, o: 5, g: 2}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the second derivative of -o**6\/150 + 3*o**5\/50 - 3*o**4\/20 - 2*o**3\/15 + 6*o**2\/5 + 3*o. Find w, given that c(w) = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2 + 3)\/((-2)\/(-4)). Suppose -5*y = s - 25 + f, 36 = 2*s + 5*y. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -59 - 6 - (-1809 + 1741).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/100*-5 + 236\/40. What is the greatest common factor of j and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -5*p + 28. Suppose 3*m - 23 = -4*t, -13 = m + m - 3*t. Let i be (m + 2)*1\/6*22. Solve -i + 1 = p*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 244770 and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {r: 3, a: 5, m: 1, o: 2, j: 3, b: 6}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in thirty-two fifths of a decade?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/(-4)*2*(-18)\/225?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -136*p - 5138. Let q be d(-38). Let x(s) = -21*s + 1. Let l be x(-1). Suppose 0 = 2*m + 4*k - 48, 2*m - q = -2*k + l. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(2 + -1 + sqrt(1700)) + -6*(sqrt(1700) - (sqrt(1700) - sqrt(1700)*-2)) + -3)**2.\nAnswer: 320*sqrt(17) + 435201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 2256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7438389 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the first derivative of a**2\/2 - 45. Let j(b) be the second derivative of -b**4\/2 + 7*b. Calculate r(j(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 72095 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -275 divided by 11?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/9 in 1\/7, 4, -2\/5, -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 3*i = 22 + 3, 26 = 5*u - 2*i. What is the greatest common factor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/25, 0.2, -38?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -390 divided by -6\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14679?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -101 + 100.43. What is v rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2 - (-2 + 2))\/(-1). Suppose -3*r + l + 30 = -2*l, -16 = -p*r - 2*l. What is the smallest common multiple of 1*-2*11\/(-2) and r?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7318 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 4, 3, -23, 1 in ascending order.\nAnswer: -23, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-62 - -76) + 37 + (-1 - (10 + -4 + 2)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 3*n - 3 = 0, 5*y - n + 5*n = 4. Suppose y = 6*u + 13 + 17. Let k = -4 + 2. Sort k, u, 0.4.\nAnswer: u, k, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*i - 25*i + 4*o = 18, -2*o + 7 = -3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 24 + (149 - 168 - (-2 + -11))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/1*(-5)\/(-2). Suppose -l - v*d - 3 = 0, l + 5*d + 2 = d. Factor t**3 + 5*t + t**3 + 2 + 2*t**2 + 4*t**l + t.\nAnswer: 2*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.096331 rounded to 3 decimal places?\nAnswer: 0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(17) + sqrt(34)\/sqrt(2))*2 + sqrt(51)\/sqrt(3) + -3.\nAnswer: -5 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -396, 38, -2, 3.\nAnswer: -396, -2, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/6  (b) -1\/4  (c) -2  (d) 17201  (e) -2\/5  (f) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 167 (base 8) to base 10.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 divided by 241.\nAnswer: 7\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.007 - -66.993. Let s = b - 66.903. What is s rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 0.3, 113 in ascending order.\nAnswer: 0.1, 0.3, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6546 + 6546.02. Put -5, 5, 1, d in decreasing order.\nAnswer: 5, 1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 - -65216?\nAnswer: 65223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((336\/(-20))\/(-7))\/(2\/(-55)). Which is bigger: -265\/4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (44283 - 44283 - 206*q + (4 - 3 + 1)*(0 + q + 0))*(-2*q - 1 + 1).\nAnswer: 408*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 19427159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the second derivative of -71*y**7\/14 + 5*y**3\/3 - 319*y. Find the second derivative of c(i) wrt i.\nAnswer: -4260*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 125502646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uc when two letters picked without replacement from {u: 1, c: 1, s: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13 - -23. Let v be (-75)\/6*(j + 0\/(-1)). Is v less than or equal to -124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3434 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 8*b - 3*b. Suppose 17 = b*l - 10. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 + -3. Let l(v) = -v. Let i(c) = -10*c - 7. Let h(z) = i(z) + l(z). Let k be h(t). What is the highest common factor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**3 + 4*f**2 - 2*f - 4. What is the least common multiple of m(-4) and (-22)\/(-6) - 11\/(-33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**3 - 2*f**2 + f + 1. Suppose 5*d + 30 = 5*x, -2*x + 0*x - 16 = 5*d. Suppose v = -4*v + 20. Suppose x = j + 2*z - 0*z, v*j = -4*z. Determine s(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*k = -14*k - 48. Calculate the highest common factor of k and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.395 - 0.035. Let u = 0.86 - s. Suppose 2 = 2*f + 5*v, 3*v = -2*f + 2*v + 2. What is the nearest to 3 in u, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gppggngpbnnggp. What is prob of picking 2 n, 1 b, and 1 p?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 36484138 a multiple of 223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -35.9 + -140.1. Let f = -172 - m. Let n = 0.28 - -0.02. Which is the third biggest value?  (a) f  (b) -1.5  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**0*v)**(-32)*v**(-1\/2)*v**(-1\/2) assuming v is positive.\nAnswer: v**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 291*j - 1239 + 366 = 0. Put -4, j, 4, 193 in descending order.\nAnswer: 193, 4, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - (0 + -6 - -19).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve a + 40 = -8*d + 10*d, 0 = -4*a - 5*d + 74 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -145363*f**2 - 112305*f wrt f?\nAnswer: -290726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0.2  (b) -1\/13  (c) 3  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 308 = o - 103. Let v be 2 + -2*2265\/(-12). Let r = v - o. What is the common denominator of -58\/9 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -172, -182, -200, -226, -260?\n\"Answer: -4*g**2 + 2*g - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -146 + 6*f**2 + 146 + (-2 + 2 - 1 - 7*f)*(3*f - 3*f + 4*f) + 7*f**2 - f**2 - 2*f**2.\nAnswer: -18*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/(-6))\/(16\/(-8352)). Find the first derivative of i + 43*f - 251 - 15*f wrt f.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2.9 + -4.12. Let i = -1.72 - c. Put 5, -3, i, -1\/3 in ascending order.\nAnswer: -3, i, -1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**2 - 14*r + 4. Suppose -t - 18 = -5*h, t + 0*t = -3*h - 10. Let i be d(t). Let g = i + 10. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-366)\/488)\/((-2)\/(-16))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 13 - 10 - (4 - 1). Suppose j = 3*d - 7*d + 100. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**3 - 3*q**2 + 3*q + 2. Let t be o(2). Solve -7*r = -t*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -431*y**4 - 4399*y**3 - 11665*y**2 - 2225*y.\nAnswer: -y*(y + 5)**2*(431*y + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 275287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.003076 to 4 decimal places.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -44299, -88602, -132905?\nAnswer: -177208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -559*l**3 + 185*l**3 + 184*l**3 + 188*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -683, -692, -699, -704?\n\"Answer: h**2 - 12*h - 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/989, 140, -0.7 in decreasing order.\nAnswer: 140, -2\/989, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (-6*-1*sqrt(76))\/(((sqrt(32) - -1*sqrt(32)) + sqrt(32))\/sqrt(8)).\nAnswer: -5 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4128.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -15309 < 61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 3\/35876786?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 8 = -r. Suppose -r*k - 2*k + 25 = d, 0 = -4*k + 4*d. Solve -k*c + 4*y = 0, -2*y = -5*c + 2*c - 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -3*u**2. Let h(t) = t - 1. Let x(q) = -q**2 - 2*q + 2. Suppose 3 + 2 = -5*g. Let b(s) = g*x(s) - 2*h(s). Calculate b(c(n)).\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*a - 12843 + 13143 = 0. Calculate the remainder when 298 is divided by a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a kilometer in meters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -26*d + 16. Let f be (-1 - -1)*(-23)\/46. Is 3 a factor of g(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(147)*1 + -2.\nAnswer: -2 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -25482550 - 3?\nAnswer: -25482553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 755, 757, 759, 761?\n\"Answer: 2*s + 753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2332 and 194722.\nAnswer: 389444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1869763 and 1834?\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 5*x**2 - 3*x**3 + 8*x - 1 + x + 4*x**3 - 3*x. Let g be s(-3). Which is the second biggest value?  (a) g  (b) 9  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -4927479044227 and 0.01.\nAnswer: -4927479044226.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-151207 + 76130 + 84364)*(-v + 3*v - v)*(3 - 4 - 2)*(4 + 1 - 4) as z*v + t and give z.\nAnswer: -27861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 2*j + 14. Suppose 4*x + 3*v - 8 = 3, 2*x + 3*v - j = 0. Sort 5, x, 3, -3.\nAnswer: -3, x, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 412\/22 + 936 + -955?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 452*k**2 - 1901*k**2 + 446*k**2 + 461*k**2 + 543*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 104069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -651?\nAnswer: 1\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -1\/5, -2, -5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*d - 4*d - 2*d)*(20*d - 86*d - 71*d).\nAnswer: 274*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1760 or 1769?\nAnswer: 1769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -15, 1.4, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.4?  (a) -4  (b) -31  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(133)*2*2 + (sqrt(133) - -1*sqrt(133))*4 + sqrt(133))\/(5*-3*(2*sqrt(1008) + sqrt(1008) + sqrt(7))).\nAnswer: -13*sqrt(19)\/555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -251216, -500807, -750396, -999983, -1249568, -1499151, -1748732?\nAnswer: -1998311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 5*h**3 - 5*h**2 + 7*h + 5. Let g(f) = -6*f**3 + 6*f**2 - 8*f - 6. Let z = 2 + 1. Suppose c = -z*c - 28. Let j(o) = c*l(o) - 6*g(o). Determine j(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q = -2*p + 16, 5*p + 32*q = 29*q + 19 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12, -25, -38, -51, -64, -77?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13735275 is divided by 2772?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1411141411 (base 5) in base 2?\nAnswer: -1101110010100111111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (2\/4)\/(4\/8) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o*o\/(o**(-7)\/o)*o*o*o*(o*o*o*o**(-2)*o*o)\/o*o)**(-1\/28) assuming o is positive.\nAnswer: o**(-17\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 v when two letters picked without replacement from {v: 3, u: 5, f: 1, m: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 53100, -19, 8 in decreasing order.\nAnswer: 53100, 8, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 z when two letters picked without replacement from {d: 3, z: 4, i: 1, e: 2, q: 3, v: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(480)\/(sqrt(8)*2) + sqrt(60))\/(sqrt(12) + 2*sqrt(12)*2).\nAnswer: -2 + 3*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 150521963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6\/156*-54 - -4. Let m = d + 187\/65. Find s such that -12\/5*s**2 - m*s - 2\/5*s**3 - 16\/5 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -244150 (base 6) in base 16?\nAnswer: -54a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -48*b**3 - 7080*b**2 - 10539*b - 3942.\nAnswer: -3*(b + 146)*(4*b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v + v + v)*(1880 - 691 - 787)*(0 + 3 - 6).\nAnswer: -3618*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 624661 is divided by 183?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r - 4*r + 4*c + 12, 4*r = c + 10. Suppose -r*i + 12 = 2*i. Let s(q) = 4 - 3 + i*q - 3. Give s(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 260 divide 68612180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 174\/5 or 0.045396?\nAnswer: 174\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 12 = -3*z. Let j = z - -1. Suppose -2*i = -f - 15, -2*i + 0*i + 5*f = -27. What is the remainder when i is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*(b**(-3\/5)*b*b)\/b)\/b)\/b)\/(b\/b**(1\/25))*b\/b**(-39)*b**(-17)*b assuming b is positive.\nAnswer: b**(561\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -5*(-3)\/(-10)*-2. Suppose -t + 203 = -y*u, -t = 2*t - 3*u - 585. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*w + 1322783 = -108761 - 352516. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -4  (b) -5  (c) -2\/23  (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2737727, -5475460, -8213193?\nAnswer: -10950926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6\/27 - 222\/27. Let j be (c\/3 - -3)*3. Let p = 4\/7 - 27\/35. Which is smaller: j or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -10912, -43639, -98184, -174547, -272728?\n\"Answer: -10909*c**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -93\/13809314 and -77\/16.\nAnswer: 110474512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -319030 divided by 101\nAnswer: -319030\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 9900, 72286, 239638, 564438, 1099168, 1896310, 3008346, 4487758?\n\"Answer: 8747*w**3 + w**2 + 1154*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 54\/(-189) - (1209\/7 + 0). Let g = 567 + o. Let k = g + 1275. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21 (base 3) to base 11\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 866213.6 hours?\nAnswer: 3118368960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 77928313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(-35)*-3 + ((-5136)\/(-420) - 12)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1066 = -2*f - 232. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*o - 170*o - 28*o - 11598 - 11808 = 0 for o.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*w**2 + 2*w**2 + 18*w**2 - w**2 - 8*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (297\/18)\/((-4)\/(-32)*4). Solve -30*m = -v*m - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8826 is divided by 469.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -124 divided by -18.\nAnswer: 62\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 9) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -28835 at least -29537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.025 and 0.218.\nAnswer: 0.00545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/10  (b) -7\/36  (c) 1\/5  (d) -136  (e) 220\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (10 - (0 + 8 - (-6 + 11))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes after 4:07 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-67 + 85 - (12 + 0)) + 6 - (-1 + 4)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 3*x**2 - 8*x - 5. Let a be d(6). Suppose -4*w = -4*u + 3*u + 86, 408 = 5*u + 2*w. Let g = u - a. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -163149680*w**3 - 67076*w**2 - 567*w + 1.\nAnswer: -978898080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:02 PM and 6:02 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 54\/5 of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -2*s**3 - 2*s - 1. Let f be y(-1). Let v(h) = 3 - f - h. Let w(q) = -2*q**2. Calculate w(v(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 639 and 1876317.\nAnswer: 5628951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 3\/5 of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 20552 = q + 3*x, 5 = -5*x. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**3 - 5*b**2 - 2*b + 12. Let g be p(5). Solve n - 5 = -5*z, -29 = -g*z - n + 6*n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 1221264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(4\/7))**(-3\/2) assuming p is positive.\nAnswer: p**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 3*k + 21457 + 7221 = 0, -4*k = -5*h + 71681. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13001 (base 5) to base 2\nAnswer: 1111101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11121211221 + 2001?\nAnswer: -11121202220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -6*s**5 + 278*s**4 - 3606*s**3 + 8962*s**2 - 5628*s = 0.\nAnswer: 0, 1, 2, 21, 67\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 836*p - 831*p - q - 13, 0 = -4*p - 3*q - 1. Solve -8\/7*r**p + 10\/7*r + 2\/7*r**3 - 4\/7 = 0 for r.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9338 at most as big as 9339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 25*u**3 + 9*u**2 - 17*u + 27. Let q(k) = 9*k**3 + 4*k**2 - 6*k + 9. Let x(h) = 11*q(h) - 4*s(h). What is x(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -18) + 31 + -81 + 25\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-34)\/(-15) - 2) + 2\/(-5). Which is greater: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 196055*m**3 + 4*m**2 + 769410*m.\nAnswer: 1176330*m + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 2*a. Let v(r) = -2377860*r. Determine v(h(i)).\nAnswer: -4755720*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.06538605 to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9*o*x**2 - 12*o - 2*p*x**2 + 10*p*x - p - 673*x**2 wrt x?\nAnswer: 18*o - 4*p - 1346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4698 and 567.\nAnswer: 32886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*d + 8*d - 2*d**2 - 3*d**2 to g*d**2 + f*d + o and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 2 + 6*x + 4*x**2 + 0 - 2*x. Let q be n(-2). Let u = -5 + q. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13)\/(-26)*3\/(-2)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -137\/1548 and -1\/2064.\nAnswer: 6192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-1\/3)*q)**(22\/7)*q**(1\/2)*q*q**5)\/(q**(-4)*q**(2\/3)*q**(-5)\/(q**(-2\/3)\/q)) assuming q is positive.\nAnswer: q**(641\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 274?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (8\/(-60))\/(((-2)\/3)\/(-1)). Which is the closest to -7?  (a) 0.3  (b) f  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -299.552 - 0.448. Let h = d - -300.678. Let x = -0.67800451 + h. What is x rounded to 7 dps?\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1024002 divided by -12642.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6.4 - -2.6. Put 3\/8, -1, r in descending order.\nAnswer: r, 3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-147)\/21 - (-1 + 22). Let p be (24684672\/n)\/(-8) - 12\/(-21). What is p rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 2*r = 6*k + 74, k + 3*r = -7. Suppose -3*s = 4*y - 51, 3*y = 2*s - 4*s + 38. Let z = k + y. Let i(x) = -x**3 - 6*x**2 - 3*x + 2. What is i(z)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.1 + 0. Let j = -26.9 + 26. Which is smaller: j or b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*c = 3*l + 177, 3833*l = 3836*l + 4*c + 167 for l.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 10*m**2 + 25*m + 20. Let k = 5 - 2. Let g(l) = 5*l**2 + 12*l + 10. Let i(x) = k*t(x) - 5*g(x). Factor i(n).\nAnswer: 5*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:20 PM and 8:53 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 101553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -30\/17 + 197\/102. Which is greater: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14792 and 344.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1495928, -1495966, -1496028, -1496114?\nAnswer: -1496224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -2728664 bigger than -2728664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -252 at most -245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -305, -276, -245, -212, -177, -140, -101?\n\"Answer: r**2 + 26*r - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 146286780?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -g - 2*g**2 + 4*g**2 + g**4 + 2*g + 2*g + 3*g**3 as n + x*g**2 + h*g**3 + c*g**4 + u*g and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 45 - 39. Suppose p + 13 = 3*f - c, 5*f - 45 = 5*c. Let d be 1 + -4 + 2 + f. Solve 0 = 3*v + d*q + 8, 27 = 3*v + q - 4*q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17 - -5) + 5 + 27 + 3 + -2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -6188 + 4213?\nAnswer: -1b75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 203 - 198. Suppose -a = -2*a - 10. Let j = -7 - a. Put 0, u, j in descending order.\nAnswer: u, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -76 + 311. Let q = 344 - p. Is 16 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -5*q - 7. Let a = 11 + -15. What is the units digit of x(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 4*f - 207, 0*z = -2*f - z + 101. What is the remainder when 201 is divided by f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -2\/27415?\nAnswer: -2\/27415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -108*x**2. Let q(l) be the third derivative of -23*l**5\/60 + l**3\/3 - 3340*l**2. Give q(p(f)).\nAnswer: -268272*f**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1972*n**5 - 435*n**2 - 4*n?\nAnswer: 118320*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ten ninths of a day in seconds?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 19*c**2 + 9158*c - 18327. What is w(2)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.1 - 2.9. Let n = f - -4. What is the biggest value in 4, n, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 644139*z - 322046*z = 322054*z + 5655 for z.\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 - -11. Let p = -42 - -49. What is the least common multiple of p and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5939 - -8640. Let m = 1690 + c. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 0*a**3 + 21*a**2 + 2*a - a**3 - 11 - 21*a**2. Let n(m) = m**3 - 3*m + 12. Let y(r) = -3*i(r) - 2*n(r). Differentiate y(k) with respect to k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, 2, 99, -2\/7 in decreasing order.\nAnswer: 99, 2, 1\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -25 + 12. Let u(q) = -4*q + 12. Let y(z) = z - 1. Let p(i) = -u(i) - 5*y(i). What are the prime factors of p(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 + -0.9. Let y = 0.2 + 0. Which is bigger: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/(-21) - (-42713)\/(-847).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -689, -2770, -6231, -11066, -17269, -24834, -33755?\n\"Answer: x**3 - 696*x**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6298*k - 232515 = -3027*k - 4632*k + 102453 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 s, 1 w, and 1 r when four letters picked without replacement from yssywwwwsry?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20126966?\nAnswer: 2, 19, 529657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 3, v: 3, z: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -2*x**2 - 15*x - 32. Let k be s(-4). Let h = 54.08 + -54. What is the closest to 1 in h, -8, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/7, -4, 1\/2, -13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c**3 - c**2 + 2*c. Let g be d(-2). Suppose -4*l + 8 = 4*s, g*l - 9 = -2*l - s. Suppose -2*i + l = 1. Solve -o + 0 - i = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -296*p**3*r*z + 13*p**3*r + 8*p**3 - 550*p**2*r*z - 16*p**2*r - 3*p*r + 2*p with respect to z.\nAnswer: -296*p**3*r - 550*p**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the third derivative of r**4\/4 + 2*r**3\/3 - 13*r**2. Calculate the smallest common multiple of 24 and b(2).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2\/4*0)\/(-1). Let a be ((-1)\/2*p)\/1. Suppose 4*w - 2*v = 52, 0 = -a*w + 3*w - 4*v - 49. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51 is divided by 35?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37654 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -64*c + 1637. Let q be g(25). Let b(l) = -l**2 + 12*l + 1. Let p be b(5). Which is smaller: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -17*h**2 + 7395*h + 3. Let u(r) = -12*r**2 + 7393*r + 2. Give -2*g(x) + 3*u(x).\nAnswer: -2*x**2 + 7389*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -67552, -67490, -67428, -67366?\nAnswer: -67304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 119\/2736 and -5\/708064.\nAnswer: 121078944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a millennium in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -49187a (base 12) in base 9?\nAnswer: -2205364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -199 + 391. Let o = 200 - j. What is the lowest common multiple of o and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16 + -16. Let t be (-23)\/(-7) - 10\/35. Suppose q = t*m - m. Put -4, m, 3 in ascending order.\nAnswer: -4, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes after 10:55 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34975?\nAnswer: 5, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 + 8 + (24 - (46 + 1))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1151*t**4*w + 2*t**4 + 4*t**3 + 2*t**2*w - 2787*w wrt t.\nAnswer: -27624*t*w + 48*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1304 is divided by 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -v**5\/6 + 55*v**4\/2 - 7021*v**3\/6 + 20281*v**2\/2 + 233011*v\/3 + 66332 = 0.\nAnswer: -4, -1, 21, 46, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z. Suppose -2*x = -0*x + 12. Calculate o(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1247*s - 451*s + 48163 + 30157 = -274*s for s.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t**4 - 4*t**4 - 3*t**4)*(-4 + 7 + 0 - 2*t).\nAnswer: 10*t**5 - 15*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g. Let m(s) = 8*s - 2347. Give t(m(v)).\nAnswer: 8*v - 2347","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**4\/5 - 464*h**3 - 134560*h**2.\nAnswer: -2*h**2*(h + 580)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8\/(-3)*(-6)\/4. Let w = h - 0. Which is the biggest value?  (a) -2  (b) 0  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -81, -160, -239, -318?\n\"Answer: -79*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**3 + 21*f**2 - 3. Let k be x(-21). Let g be ((-12)\/9 - k)*4\/30. Which is the nearest to g?  (a) -5  (b) 7  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 2 = 2*g. Suppose -3*l = -g*c - 0*c + 38, 4*l - 3*c + 52 = 0. Let f be ((-2)\/(-26))\/(5\/l). Sort f, -0.1, -0.3 in ascending order.\nAnswer: -0.3, f, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 51015859*s**6 + 5468*s**2 - 264*s - 1?\nAnswer: 6121903080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -14a7b (base 14) in base 12?\nAnswer: -25945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-72)\/80 - 2\/(-10))*(-32)\/112?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7362?\nAnswer: 2, 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n\/n**13))\/n**1)**(3\/28) assuming n is positive.\nAnswer: n**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 10) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 5*l - 165 = 0, -72*w + 2*l = -67*w - 171. What is the remainder when 1500 is divided by w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + k - 15945 = -3*x, 0 = 2*k - 8*x - 8020. What are the prime factors of k?\nAnswer: 2, 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6)\/(-10) + (-4)\/(-10). Let q be (g*20)\/((-2)\/(-4)). Suppose 4*y = 7*y - 15. What is the highest common factor of q and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6842215.\nAnswer: 5, 1368443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2983 - 2982.999976516. What is g rounded to 7 dps?\nAnswer: 0.0000235","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -847*w**2 + 0 + 163*w**2 - 1 - 1.\nAnswer: -684*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 9.3  (b) 0.06  (c) -1  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**2 + 5*s - 8. Let q be y(5). Let k = -3 - q. Solve 2*m + 11 - 1 = 3*b, -k*b - 5*m - 25 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-20202)\/420 - 6\/(-10) and -55\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*l**3 - 73755*l**2 - 260158395*l + 88193319355 = 0. Calculate l.\nAnswer: -7531, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:00 PM and 3:38 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**3 - 5*w**2 + 6*w - 2. Let t be n(-6). Which is the nearest to t?  (a) -2  (b) 0.4  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, w: 1, z: 2}. What is prob of sequence zdzw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 13322233 (base 4) in base 12?\nAnswer: 16927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkckkfkaccfkckak. What is prob of sequence akk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*-3*2\/18?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a and 1 n when four letters picked without replacement from {z: 2, h: 7, s: 4, a: 3, n: 1}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 925839699?\nAnswer: 3, 47, 1867, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 2 = 5*m + 17, -n + 3*m = -3. Suppose n*a = 4*o - 121, -3*a - 37 = -2*o + o. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -15*p. Let c(k) be the first derivative of -k**3\/3 + 16. Calculate n(c(y)).\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -91 + 123. Suppose -7*r + 10*r - 27 = 0. What is the common denominator of 1\/2 and (-70)\/(-16) - (72\/g)\/r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 645932799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 9 - 2\/(-4 + 2). Solve -v + h - 9 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -250305171*l**2 - 280584553*l.\nAnswer: -500610342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is eighty-one quarters of a gram in milligrams?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1718*2\/(-76) + -1. Let d = b - 5485\/152. Let f = -3811\/186 - -10\/31. What is the common denominator of d and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, k: 5, h: 1, i: 1, y: 4}. Give prob of picking 1 k and 1 h.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + 0 + -9 + 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:23 PM and 7:17 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -4082516044 + 907\nAnswer: -4082515137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vxvxvvxv. Give prob of sequence xvv.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 19770?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 78226450.\nAnswer: 2, 5, 23, 68023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*i - 720 = -2*i. What is the tens digit of i*2\/18*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 + 4*d - 7. Let h be l(3). Let r = h + 9. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*t - 214*t**2 - 35*t.\nAnswer: -214*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:45 AM and 11:45 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -31 (base 12) to base 13\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -460*w**3 - 2*w**2 - 2*w + 1. What are the prime factors of u(-1)?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1288 and 4579208?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2222055919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 4, y: 6}. Give prob of picking 2 o and 2 y.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 11 - 4*v**2 + 15*v**3 + 101*v - 88*v - 10*v**3. Is f(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1795\/7 + -257. Let l = -0.5 - -0.9. Which is the second biggest value?  (a) h  (b) 2  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 70?  (a) 4  (b) 1\/7  (c) -13  (d) -0.2  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 4\/3 and -13\/216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 + (-1 - ((-2 - 0) + 1)) + 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h + 38. What is q(0)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0\/2)\/(-9 + 5). Solve 0*y - 4*y - 4 = u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/8, -32762.4, -0.1 in descending order.\nAnswer: 1\/8, -0.1, -32762.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 31*(-39)\/(20553\/(-68)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 1 - 3*q**2)*(-102 - 1001 + 78 - 936) to the form g*q + t + d*q**2 and give d.\nAnswer: 5883","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (28 - (46 + 47)) + 15\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 + (191 - 25))*((-10)\/6 - -2).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 126 a factor of 140913055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**0)**7\/((j\/(j*j*j\/j**3))\/(j*j**(-6)))*(j**(3\/2)*j**(-1))**(-13\/4) assuming j is positive.\nAnswer: j**(-61\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that 189*v**4 + 1026*v**3 - 5025*v**2 - 7902*v - 2040 = 0.\nAnswer: -170\/21, -1, -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1862)*2*-2 - (-2*sqrt(1862)*-6 - sqrt(1862)))\/((sqrt(54)*-3)\/((sqrt(21)*-2)\/sqrt(7))).\nAnswer: -70*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*w = 2*q + 33, -107*q + 116*q - 8 = -3*w - 44 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 254*c*q**3 + 18*c + 11*q**3 - q**2 - 2*q wrt q?\nAnswer: 1524*c + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 2*y**5\/13 + 8*y**4\/13 - 148*y**3\/13 + 480*y**2\/13 - 558*y\/13 + 216\/13 = 0.\nAnswer: -12, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 5*p = 0. Let g(m) = -m**3 - 3*m**2 + 4*m - 1. Let s be g(-4). Let v be -5*(1\/1)\/s. Sort 3, p, v.\nAnswer: p, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1944426 and 306?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in r**3 + 3*r**3 + 95692436*r**2 + 5*r - 95692436*r**2 - 10*r + 5*r.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 464500157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 84*j - 6. Let k be l(6). Let n = k - 328. Suppose 0*o + 2*o = n. What is the highest common divisor of 34 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1215 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add together -14 and -4856.\nAnswer: -4870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**2)**(-15)\/(c**(4\/3)*c\/(c*c\/(c*c**(-5)))) assuming c is positive.\nAnswer: c**(-79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -27.98 + 28.18. Which is the nearest to 2?  (a) -0.4  (b) j  (c) 5\/26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -126683 (base 16) in base 6?\nAnswer: -41502455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 263 a factor of 70816169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 195329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -117, -222, -317, -396, -453, -482, -477?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9609, -19224, -28843, -38466, -48093, -57724?\nAnswer: -67359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 197\/6930330 and -56\/153.\nAnswer: 353446830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -12 and -2612932.\nAnswer: 31355184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 130122 (base 4) in base 12?\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -3*v, -3*v = 4*m - 0*v + 7. Factor 10*g + m + 44*g**2 - 36*g**2 + 0.\nAnswer: 2*(g + 1)*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 38, 3, 7, -53 in ascending order.\nAnswer: -53, 3, 6, 7, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 15b1 + 4?\nAnswer: 15b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1780770 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -14\/43, -0.4, -4\/17, -9, 10, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49502 is divided by 224?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1320213*k**5 + 1818403*k wrt k?\nAnswer: 26404260*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5285 + -74057\/14. What is the common denominator of -1\/16 and q?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/2*a**3 + 0 + 41*a - 121\/2*a**2.\nAnswer: -a*(a + 41)*(3*a - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m - 40 = 5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 7 + 1 = 0. What is the third derivative of 4*z**2 - s*z**2 - z**5 - 2*z**2 + 3*z**2 wrt z?\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -48144, -96277, -144420, -192579, -240760, -288969?\n\"Answer: -x**3 + x**2 - 48129*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddddqqgqgqqqq. Give prob of sequence gqd.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -3995715, -3995712, -3995709, -3995706, -3995703, -3995700?\n\"Answer: 3*n - 3995718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -70+493\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*1*(5 + (sqrt(252) - (3 + 0 + sqrt(252))))*3)**2 + 5.\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.64 - 0.36. Which is the fourth smallest value?  (a) -2\/13  (b) 4  (c) 2\/3  (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17.889 times -0.09?\nAnswer: 1.61001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12 - -27. Suppose 5*d - 15 = 0, 4*y - l = d + 38. Let m = 230 - 216. Calculate the greatest common divisor of y and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 5*u**3 + 64*u**2 - 3*u. Let c(n) = 10*n**3 + 127*n**2 - 5*n. What is 3*c(p) - 5*y(p)?\nAnswer: 5*p**3 + 61*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 28 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that b**2 - 18136*b + 82228624 = 0.\nAnswer: 9068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 17.4 + -17.1. Which is the closest to 1\/4?  (a) -23\/3  (b) -4  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eqqgcncn. Give prob of sequence qn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 187*c - 35852 - 20906 = -775*c for c.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 41  (b) 931  (c) 27  (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 346582 is divided by 4443?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -981*q**2*s + 228*q**2 + 747780*s wrt q?\nAnswer: -1962*q*s + 456*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -401*p = -425*p - 96 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence twtw when four letters picked without replacement from etetttttttrtwttttwe.\nAnswer: 13\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 1914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 5*q**2 - 4*q - 77. Let b(p) = 3*p**2 - 2*p - 38. Calculate 7*b(g) - 4*w(g).\nAnswer: g**2 + 2*g + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 28 + 36. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 720 and 60?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:07 PM and 10:23 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -y - 4*u + 2, 0*u - 5 = 2*y - u for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvlv when four letters picked without replacement from vvllllvlvvllv?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = -b + 46. Let d(j) = -j**3 - 8*j**2 + 4. Let i be d(-6). Let z = -27 - i. Calculate the remainder when z is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1221\/(-66))\/37 - 11\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 199641 to the power of 1\/2, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 22 = 2. Let w = a + 5. Calculate the remainder when 26 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 7413229 and 0.1.\nAnswer: 7413229.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.16148 rounded to three dps?\nAnswer: -0.161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.9 + 10.7. Let z = -10 + d. Let o = 2 - z. What is the smallest value in 5, 0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 374*o - 5334 + 1729 = 2379 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -36.94 + 37. Let n be (6\/9)\/(5\/(-9)). Let c = n + 7\/10. Sort m, c, -4 in descending order.\nAnswer: m, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - 17 - 79. Suppose 5*o - x = o. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14.1742841 rounded to 2 dps?\nAnswer: -14.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(3\/4))**(-2\/25)\/(t**(3\/5)*t*t*t)**(-12\/5) assuming t is positive.\nAnswer: t**(429\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, 1268, 6.6.\nAnswer: 6.6, 13, 1268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 2*i + a - 15, -4*i + 62 = a. Let r = i + -24. Let l = r - -40. What is the remainder when l is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 5*z - 304 = 0, 2*z + 0*z = 5*u - 486. Calculate the remainder when u is divided by ((-18)\/36)\/((-3)\/150).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19341, -38872, -58403, -77934?\nAnswer: -97465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 + 1. Let h = 0.6 - k. Put -1, -3, h in decreasing order.\nAnswer: h, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2  (b) 0.3  (c) 1\/111  (d) 3  (e) -3  (f) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x + 5*d + 46 = 0, 984*x - d - 12 = 981*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*s + 2*s + 0*s)*(-13*s - s - 37*s).\nAnswer: -357*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*n + 2 + 0 + 0 + (3 - 3 - 2)*(-6*n - 3*n - 2*n) in the form u*n + f and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (6\/(-10))\/((-2)\/10). Suppose 120 = 4*w - x*i, -3*w - 3*i + 90 = -0*w. Let h = 11644 - 11569. Calculate the highest common divisor of h and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6, -42, -166, -402, -786, -1354, -2142, -3186?\nAnswer: -4522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -672 by 48.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (2*(-4)\/(-16))\/(4\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17*j - j + 4*j)*(0 + 1 + 1)*(2*j**2 - 4*j**2 + 7*j**2).\nAnswer: -140*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1, -14 in increasing order.\nAnswer: -14, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 2+-253\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 105 + -61. Suppose -z = -v + z + 28, -3*v - 4*z + s = 0. Let f = 551 - 551. Solve f*w - v = -5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (-4 - -17 - 11) - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from udzwq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (15\/3)\/10*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together 104986558.6434 and -3.97.\nAnswer: 104986554.6734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the first derivative of 0*p**3 - 16 + 19*p - 1\/4*p**4 + 0*p**2. What is the derivative of z(j) wrt j?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1139 - 93*x**2 - 572 - 18*x**2 - 569.\nAnswer: -111*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 160 - 269. Let s = 110 + r. Is (2 + -5 + 13526)*s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -22136, -44769, -67340, -89843, -112272?\n\"Answer: c**3 + 25*c**2 - 22715*c + 553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -23*t**2. Let y(f) = 10*f. What is n(y(q))?\nAnswer: -2300*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 3*z + 498 = 8*s, 0 = 3*z - 3. List the prime factors of s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the first derivative of w**4 + 8*w**3\/3 - 2*w**2 - 8*w - 74. Determine u so that t(u) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*-2*(sqrt(99) + sqrt(99)*2))\/(sqrt(576)*2 + sqrt(576) + sqrt(9) + sqrt(180)\/sqrt(5)).\nAnswer: 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1545 (base 6) to base 12\nAnswer: 2b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 4 - 4)*(w**2 + 3*w**2 - 6*w**2) + w**2 - 1 + 1 + (-3*w + 2*w - w)*(-1 + 1 + 3*w) + 2*w**2 + w**2 - 4*w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - ((-3456)\/(-5544)*133\/28 - 8\/(-44))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**2 + 2*w + 1. Let x(a) = 23*a**2 - 22*a - 16. Calculate -22*k(i) - 2*x(i).\nAnswer: -24*i**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -18\/13, 2, 1\/2, -0.025, -76, 3, 1\/6?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -10*a - 25. Let c be b(-11). Suppose -3*v - c = 2*v + 5*k, -4*v + k = 58. Calculate the remainder when ((-10)\/(-15))\/((-2)\/v) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 323*q**4 - 2*q + 3*q**2 + 315*q**4 - 6 + 3 to the form u*q**3 + m*q + b + a*q**4 + h*q**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 - -1 - -4) + 3 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -66.5 + 66.9. Let s = -3.6 - -0.6. Let r = s - -2.9. Which is the second biggest value?  (a) g  (b) -5  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*-164.6.\nAnswer: -32.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w - 83 + 33. What is the units digit of (w\/3)\/(4\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/9, 22122, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 3, -674, -3 in descending order.\nAnswer: 3, -3, -4, -674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 1647 = 3*f + 849579, -3*f - 282638 = -r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the third derivative of -v**7\/2520 - v**6\/360 - v**4\/12 + v**2. Let p(k) be the second derivative of a(k). Factor p(m).\nAnswer: -m*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1868*y - 125994 = 3777*y for y.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-15)\/(-20) + (-15)\/(-12))\/(-11)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/2 or 124\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 205479, 410959, 616445, 821937, 1027435?\n\"Answer: 3*p**2 + 205471*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11 + -9. Let z(i) be the third derivative of i**5\/12 - 7*i**2. Let g(x) = -36*x**2 - x + 21*x**2 + 16*x**2. What is j*g(p) - z(p)?\nAnswer: -3*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -549167 or -549134?\nAnswer: -549167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -182*u = -13*u - 6422 for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(42)\/(sqrt(35)\/sqrt(5)))\/((sqrt(144)\/(sqrt(60)\/sqrt(5)))\/sqrt(6)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + 0.2. Let y = m - -2.8. Let h = 210.66 + -210.46. Which is the second biggest value?  (a) -4  (b) y  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1\/2)\/1*-1)\/(3\/18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 120\/(-144)*(2\/5)\/2. Which is smaller: 4\/11 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (70 - 9)\/(0 + 1). Suppose 0 = -2*r + w + 107. Calculate the highest common divisor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -5*3\/(1 - -2). Let b = 7 + n. What is the remainder when 13 is divided by (-85)\/(-10) - 1\/b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5262*h - 9*n - 35 = 5258*h, 0 = 5*h + n - 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -9*b**2. Let n(u) = 17*u + 5. Let t(f) = 9*f + 3. Let l(j) = 3*n(j) - 5*t(j). What is l(c(q))?\nAnswer: -54*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 61436 > 58472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2380886*d**6 - 236531187*d**2 + 1.\nAnswer: 285706320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -193\/29 - -98311\/14210. Find the common denominator of s and -44\/245.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*j + 44 - 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 62565?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) -3  (c) -0.5  (d) 19\/4  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3*-43.\nAnswer: 12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 - -9. Let b(i) = 5*i + 3*i**2 + 2 - i**2 + i**3 - y*i**2. What is the units digit of b(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*p - 435 = 31*p. Let y be 1\/5 + p\/75. Let z be (1 - 3)\/(9 - 10). Solve z*a - y*a = 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96407 less than 40.9?\nAnswer: -96366.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*q - 11*q - 7*q + (1 + 1 - 5)*(12*q + 6*q - 33*q))*(4 + 2 - 7).\nAnswer: -23*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2 and 662.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4093 (base 12) to base 8.\nAnswer: -15557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 10*k + 4. What is the tens digit of o(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 404\/7767?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11\/6, 78.8, 2\/7 in increasing order.\nAnswer: -11\/6, 2\/7, 78.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwjyawayra. Give prob of picking 2 w, 1 y, and 1 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*z - 3*t - 2 = -11*z, -z - 5*t - 6 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24\/252)\/((-23)\/(345\/85))?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (76\/(-24) - -3)*5092\/(-209).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 6*d**2 + d + 3. Let m be f(-1). Suppose 27*u = 26*u - 4*t + 351, -4*t - m = 0. List the prime factors of u.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**3 - 17*k**2 - 66*k + 5. Let t be p(-11). Solve 30*n - 25*n + t = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 16*h + 514. Let u be a(-32). Factor -2\/9*p**u - 2\/9 + 4\/9*p.\nAnswer: -2*(p - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -59\/63 + 101\/63. Suppose k = -0*k - 1. Suppose 0 = -7*b + 9 + 12. What is the nearest to 0.1 in k, b, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 13*g**3 + 9*g**2 + 2*g - 12. Let z(o) = -33*o**3 - 18*o**2 - 4*o + 29. Let j(a) = 5*d(a) + 2*z(a). Calculate j(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -8\/133 and 17\/1484.\nAnswer: 28196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*j - 96 = -22*j. Let s = 37 - j. Suppose -3*a + s*a = 110. What is the least common multiple of 4 and a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 14.505 + -1.505. Which is smaller: d or 239?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*l + 6*l + 3. Let s = -1605 - -1607. Solve -l = -s*w - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 576 and 30384.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Total of 81.19775564075 and -11.\nAnswer: 70.19775564075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9.16 - 9. Let q = z - 3.16. Which is the closest to 1?  (a) q  (b) -2  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.039484 * 6\nAnswer: 0.236904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -4*w - 20. Let i be 1\/w*3*-1. Let m = 1144\/9 + -127. Which is the closest to -0.1?  (a) 1\/2  (b) i  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48544283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 132062 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 120 + 250 = -5*a. Let p = a + 77. Solve 0 = -3*x - 5*z + 24, -z + 6 = 4*x - p*z for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**2 - 5*f + 2. Let y be w(5). Suppose 4*h + 0*h = 0. Let i(j) = -2*j**3 + 9*j**2 - 13*j + 14. Let a be i(3). Solve y = -a*t - h*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*y**2 - 2*y**2 - 17*y**2)*(-9 + 8 - 17)*(-6 + 3 + 4) as f*y + r + c*y**2 and give c.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72420911?\nAnswer: 72420911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Round -430113000 to the nearest one million.\nAnswer: -430000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/((-7)\/((-36477)\/(-6))). Let g = -1231 + q. Let m = g - 18724\/37. Are m and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*h = 10*h. Suppose 0 = -2*s - s + 2*o - 13, -o = 5*s + 39. Let n = s - -9. Sort 1, n, h in descending order.\nAnswer: n, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, g: 3, h: 1}. Give prob of sequence gh.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the first derivative of 7*v**2\/2 + 12058. Let o(y) = 3*y**2 + 4 - 4. Give x(o(z)).\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (1 - 1) - 6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -307*c - 7 - 3 + 7 + 283*c + 7 - 4.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 596631 is divided by 261?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 17, 47, 83, 125?\n\"Answer: 3*i**2 + 21*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 796, 8858, 16920, 24982?\nAnswer: 33044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1002121221 (base 3) in base 13?\nAnswer: 9aa5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/11  (b) -15  (c) -1352  (d) 1\/8  (e) -0.1  (f) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 + 5.7. Let t = -1.5 + 1. Let z = 5 + 0. What is the closest to 1\/4 in t, w, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13486, -13038, -12590, -12142, -11694, -11246?\nAnswer: -10798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/13?  (a) 4  (b) 2\/9  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -2*f**2 - 27*f - 3. Let i be d(-13). What is the highest common divisor of i and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6, 36, 86, 156, 246, 356?\nAnswer: 486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**2 + 124252*a.\nAnswer: -2*a*(a - 62126)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -56 - 136. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*y**5 - 4 + 4)*(-7 + 8 - 19)*(-3 - 3 + 3).\nAnswer: 594*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45411?\nAnswer: 3, 15137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (54 - 30 - 44) + 39?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-3)*p)**(2\/17)*(p**(-2\/5))**(-36))**(1\/18) assuming p is positive.\nAnswer: p**(602\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -3963157*g**3 + 0*g + 5*g - 5*g**2 + 3963150*g**3. Let t be 2\/(-4) - 6\/(-4). Let x(b) = b**3 + b**2 - b. What is t*a(i) + 5*x(i)?\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1462023, -1460902, -1459783, -1458666, -1457551, -1456438, -1455327?\n\"Answer: -p**2 + 1124*p - 1463146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**2 + 7 - 2*q + 4 + q + 5*q**2. What is the remainder when c(3) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7241\/(-260) - (-54 - -26)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -25 - 348 - 204 - u - 77 + 53 in the form h + t*u and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 - 6 + 6 + 3*c + 7*c**3 - 46*c**3 + 38 + 3*c**2.\nAnswer: -39*c**3 + 3*c**2 + 3*c + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.3  (b) -3  (c) 3  (d) -0.36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/((-126)\/33) - 5\/10. Let p = -5.3 + -0.7. Put 1, p, 0.3, f in increasing order.\nAnswer: p, f, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = 2*u + 5*x, -5*u - 50 = x + 4*x. Let l be 3\/u*20\/(-2). Suppose l*p - 11 = 139. Solve d - 14 = -h - 4*h, -5*h + p = 5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -103772, -78, -1 in ascending order.\nAnswer: -103772, -78, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - 2*m + 144 = -2*h, -348 = 5*h + m. Let u = -62 - h. Solve 0 = 4*j + 5*f - 36, -u = 3*f - 5*f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*w**3 + 46 + 5*w**3 - 46.\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r\/((r\/r**(2\/3))\/r)))**37*r\/(r\/r**(-4\/3))*(r*r**(-5\/2)*r)\/r assuming r is positive.\nAnswer: r**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.548565 centuries in millennia?\nAnswer: 0.0548565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((9\/18)\/((-3)\/(-99)))\/((-6)\/(-8)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 9 = -x - s, 3*s - 3 = 2*x. Suppose -2 + 5 - 3 + 2*w**2 - 2*w**x + 4*w = 0. Calculate w.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11 + -4. Suppose 3*t - 4*t + 7 = -2*r, 3*t - 5*r - 18 = 0. Suppose u = 2*d + 5*m, 0 = 2*d - 3*m - 0*m + t. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*g**2 - 138*g**3 + 3531*g**3 + 2824 - 582 - 2*g**2 wrt g?\nAnswer: 10179*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-2 + (sqrt(2) + 0 + sqrt(2))**2) - (-4 + (sqrt(98) + -1)**2).\nAnswer: -89 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 88822 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*b**5 + 104*b**4 - 3832*b**3 + 17172*b**2 - 23274*b + 9828 = 0. What is b?\nAnswer: -78, 1, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t = -314*m + 307*m + 50, -2*m - 4*t = -24 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 0.0717933us?\nAnswer: 0.0000000717933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 540009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -111680 or 1\/10?\nAnswer: -111680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 4091 times -0.5\nAnswer: -2045.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -2*d - 6. Suppose m - 7 + d = 0. Factor -6*q**m + 3*q**2 - 3*q**2 + 2*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*(-6)\/(-4) - (630\/25)\/(-14)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17184*g + 69 = 17183*g. Let s = -16 - -87. Let a = g + s. Solve -6 = -a*d - d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -15 + -720?\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3583 times -175?\nAnswer: -627025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the first derivative of -b**5\/4 - 15*b**4\/2 - 55*b**3\/2 - 40*b**2 + 101*b - 8. Let w(j) be the first derivative of i(j). Factor w(h).\nAnswer: -5*(h + 1)**2*(h + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -149\/12204 and -1\/18984?\nAnswer: 170856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -1146, -35, -4 in decreasing order.\nAnswer: -4, -35, -1146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 23084135*m**4*z - 13*m*z**3 + 948442537*z**3 wrt m?\nAnswer: 92336540*m**3*z - 13*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -82922 divided by -1\nAnswer: 82922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 43878776 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = 0, -w = -3*w - 5*i - 2. Let j be ((0 - 2)*1)\/(0 + w). Let a be -4*((-6)\/(-4) - j). Solve c - x = -a*c + 3, -5*x = -15 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 52700624 by 6587578.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -112.81269 + 0.28069. Let b = f - 1.918. Let z = 114 + b. Round z to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c**4 - c**3 - 2*c**2 - c - 1. Let g(j) = j**4 - 9*j**3 - 12*j**2 - 5*j + 3. Let q(v) = g(v) + 3*m(v). What is f in q(f) = 0?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(270)\/(sqrt(9)*2))\/(sqrt(360)*6) + (sqrt(108) - ((sqrt(108) - (sqrt(108) + -3*sqrt(108)))*-2 + sqrt(108))) + (1 + sqrt(108))*-6)**2.\nAnswer: -sqrt(3)\/6 + 62209\/1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -332*y - 276*y - 415*y + 233*y - 8*y in the form b*y + w and give b.\nAnswer: -798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(2700))**2 + 4)*4.\nAnswer: 10816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -24, -971\/4, -1\/2, -2 in descending order.\nAnswer: -1\/2, -2, -24, -971\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2101222101100 (base 3) in base 4?\nAnswer: 10320033201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3.74 - -3.9. What is k rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.38 in 2\/9, -0.2, -0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the second derivative of k**3\/6 + k**2\/2 + 2*k. Let w = 253 + -265. Let m(c) = -c - 18. Let i be m(w). Let u(z) = -8*z - 4. What is i*t(f) - u(f)?\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-2 + 4*(sqrt(108)*1*-3 + (sqrt(108) - (-1 + (sqrt(108) - ((1 + sqrt(108) - sqrt(108) - sqrt(108)) + sqrt(108))) + sqrt(108))))*1 + 2)**2.\nAnswer: -1536*sqrt(3) + 27713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 4*n = -2*s - 9, 5*n = 10. Let r be (-4 + 5)\/(-4 + s). Let g = -16.1 + 17.1. What is the closest to -2\/3 in 4, r, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 66, 1, 105692, 2 in increasing order.\nAnswer: 1, 2, 66, 105692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*o**2 - 4*o - 2*o**2 + o**2)*(-2*o**3 - 3*o**3 + 15*o**3).\nAnswer: 40*o**5 - 40*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 25*v**2 - 121*v - 13. Is 7 a factor of b(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand 634*q + 703*q - 1972*q + 736*q + (-2*q + q + 0*q)*(-2 + 1 + 2) - 6*q + 4*q + q + (-2 + q + 2)*(0 + 8 - 2).\nAnswer: 105*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1885903 * -2\nAnswer: -3771806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d - 3*d + 23 = -2*p, -23*p - 105 + 25 = 4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 39 + -38. Let c(k) be the third derivative of -4*k**5\/15 - k**4\/12 + k**3\/6 - 48*k**2 + 3*k. Calculate c(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 12*n + 463*n**2 + 469*n**2 - 926*n**2 - 76. What is the units digit of x(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(2\/53)*f*f**(-2\/5))\/(f\/(f\/(f\/(f\/(f*f\/(f\/(f*(f\/(f**(-21)*f))\/f))*f))))*f**(-5\/6)) assuming f is positive.\nAnswer: f**(-32641\/1590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*a**3 + 7*a**3 - 9*a**3 - 2*a**3 + 0*a**2 + 0*a**2 + (-3*a**2 - a**2 + 2*a**2)*(-2*a - 5 + 5))*(-158*a - 53*a + 308*a).\nAnswer: 582*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 16\/10*(2 + 2\/4). Let b be z + -1 + -3 - -3. Is 543\/1 + (1 - b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*a - 6 = -23*a. Suppose -128 + 28 = -5*k. Sort k, a, -3 in decreasing order.\nAnswer: k, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -21  (b) 3  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -129142 at most 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -24404440 (base 6) to base 11.\nAnswer: -491aa8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.524 - -0.016. Let i = g - 0.7. Let k = i + 0.26. What is the closest to k in 3, -4, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 27*o - 114. Let d(z) = 81*z - 344. Let r(a) = -4*d(a) + 11*g(a). What is the derivative of r(n) wrt n?\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s - s - 8. Factor -19*h**2 + 13*h**2 + s*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 3*z = 0. Let f = 5 - 4.6. Let m be (-1)\/(-5) - (-2 - -2). Which is the nearest to z?  (a) m  (b) -0.1  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -44525\/153 - -291. Let j be 46\/(-51) + 4\/6. Let q = a - j. What is the second biggest value in 2\/3, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 + o - 3 + (-3*o + 0*o + 5*o)*(63 - 23 - 31) as s*o + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - -51) + 19 - (107 + -89)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.1 - -0.9. Let h = 4 + -3.65. Let m = 0.05 - h. Which is the closest to w?  (a) m  (b) -1\/3  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 14 - 20. Let k be 316\/i*69\/46. Let y = 98 + k. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-k**2 + 4*k - 4*k)*(4 - 5 + 0)*(-4*k + 22 - 18 + 3) in the form h*k**3 + n + r*k + g*k**2 and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 27\/(27\/2*10\/(-35) + 4). Calculate the highest common factor of 819 and o.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**2 + w - 38. Let x be j(-10). Suppose 0 = 7*h + x*h - 236. Put 2, h, 0, 29 in ascending order.\nAnswer: 0, 2, h, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-106)\/159)\/(4\/(-6)))\/(-17)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c. Determine n(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 34\/35805 and 127\/28644.\nAnswer: 143220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 224 and 85624.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - j + 532 = 0, 14*j = 3*p + 10*j + 517. Let s = 1924 - p. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5*1\/(-1 + 2). Let g be 35\/7 - 36\/(-27)*6\/4. Solve z*p + 4*w + g = 0, p = -0*p + w + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 5, -4, -13 in descending order.\nAnswer: 5, 2, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -18 + 15. Let j be (g\/(-147))\/(-3 - 7). Let w = j - -1051\/490. Is w <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -67035*p + 469210. Give w(7).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2 - 696*i + 20279. What is b(28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the second derivative of -34*x**4\/3 + 203*x**2\/2 + 148*x - 2. What is the first derivative of c(g) wrt g?\nAnswer: -272*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j. Let s(y) = 5*y. Let i(n) = -4*c(n) + s(n). Let t(b) = 3*b**2 - 2*b**2 - 3*b**2 - 2*b**2. What is t(i(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 223 + -221. Let m(b) = 23 + 18*b + 59*b**w - 130*b**2 + 72*b**2. Determine m(-16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1014 + -362?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/7 and -13\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 15*j**3 + 20*j**2 - 90*j + 45. Let c(y) = 7*y**3 + 11*y**2 - 45*y + 23. Let x(u) = 5*c(u) - 2*s(u). Factor x(k).\nAnswer: 5*(k - 1)**2*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.9 + 124.1. Let s = b + 66. Are -2\/3 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is e70a - 65?\nAnswer: e695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -3*o**3 - 5*o**2 - 4*o - 5. Let n(a) = 10*a**3 + 15*a**2 + 12*a + 15. Let m(b) = 2*n(b) + 7*u(b). Suppose 0 = 5*w - 2*w + 12. What is m(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-2)*s**2*s)**(-16) assuming s is positive.\nAnswer: s**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h - 3. Let u be v(-4). Let b = 5 + u. Solve 3*q = 3*c - b, 5*q + 16 = -c + 3*c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 2*v**2 + 79*v - 1. Let n(u) = -u**2 - 1. Give n(f) + s(f).\nAnswer: f**2 + 79*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 33*n**3 + 107*n**2 - 97*n + 11. Calculate t(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -17, -4\/289, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 28 and 524.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) -0.1  (b) 0.0434  (c) -27.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 1, 7, -28, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**3 - 5*s**2 + 4*s + 10. Let m be c(-6). Suppose -13*u + m*u = 36. Solve -21 + 25 = -u*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 45.700323 + -45.7. Round j to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -38*b**3 + 41*b. Let k(r) = -76*r**3 + 81*r. Let z(v) = -2*k(v) + 5*t(v). What is the second derivative of z(g) wrt g?\nAnswer: -228*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the first derivative of q**7\/280 + q**5\/24 - q**3\/3 - 1. Let f(y) be the third derivative of m(y). What is the second derivative of f(j) wrt j?\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**3 + 6*w**2 + 6*w. Let l be q(-8). Let c = -22 - l. Suppose 2*b = -4*j - 40 + c, j - 25 = 3*b. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 221970, 222002, 222084, 222240, 222494, 222870, 223392?\n\"Answer: 4*s**3 + s**2 + s + 221964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.6386 - -6.6386. Which is greater: k or 1700?\nAnswer: 1700","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 5\/8 of a minute?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 140 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (176\/12)\/((-4)\/(-9)*69\/(-46))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a - 2*a - 3*a)*(2*a**3 + a**3 - 4*a**3) + (-2*a**4 + 0*a**4 + 0*a**4)*(2 - 3 - 1) + 3*a**2 - 3*a**2 - a**4.\nAnswer: 5*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -73510 - -3?\nAnswer: -73505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 46804577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6513.085 + -6541. Let v = 28 + z. What is v rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -3*y**2 - 55*y + 17. Give c(-19).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12\/(-10) + -32 + (-1244832)\/(-160).\nAnswer: 61, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1.5, -5, 5 in decreasing order.\nAnswer: 5, -1.5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the third derivative of -p**4\/6 - p**3\/2 - p**2. Let g be (-15)\/21 + 1 - 37\/7. Let l be h(g). What is the highest common divisor of 51 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 4*j**2 - 49*j + 115. Calculate y(7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes after 2:35 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4\/3, -1\/215, -144?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 2*m**2 - 207*m + 605. Determine s(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 7 = 3*j - 69, -5*o = 4*j - 132. Suppose 2*w = 2*f + j, -3*w - 5*f + 7 = -43. Let u = 25 - w. What is the least common multiple of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.162 greater than or equal to -137.77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l and 1 v when three letters picked without replacement from {l: 7, v: 1}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -4*m + 7. Let c be p(3). What is the biggest value in 11, c, -0.2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3379 in 0.11, -9, -13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + 44 = -4*x. Let c = x - -13. Suppose 3*s + 59 = 5*g, -1 = -g + c*s + 15. What is the least common multiple of 22 and g?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, f: 8}. Give prob of sequence fffl.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 66492153.\nAnswer: 3, 7, 13, 19, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*k + 25*k - 64*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13857 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 9\/182 and -443*12\/(-780) - 6?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9944 is divided by 186?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 50968?\nAnswer: 2, 23, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 29919018*s**5 + 27419552*s.\nAnswer: 598380360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 130450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2805 and 529125.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -55 - -89. Suppose 10*b = -4 + m. Suppose l - h + 13 = 2*l, -3*h = 4*l - 51. Calculate the greatest common divisor of l and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 2*u. Let l(o) = 144468*o. Calculate f(l(p)).\nAnswer: 288936*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*q**2 - 33*q**2 + q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(3\/23)\/(z*z**(-1\/3)*z))\/(z**(2\/13)\/(z\/z**(1\/15))) assuming z is positive.\nAnswer: z**(-3394\/4485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6)\/4*(-990)\/27. Let a be ((-22)\/4)\/((-2)\/4). Calculate the highest common divisor of k and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.1 + -1. Let i = 0.3 - z. Let s = -0.19998 + i. What is s rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 845792*z**2 - 12*z + 5. Is x(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 28646846?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and -16.385545.\nAnswer: -16.385545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -s**4 - s**3 + 15*s**2 - 23*s + 10 = 0. Calculate s.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w = w, -2*c + w - 6 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 41 - 42. Let n be 3 - (4 + -28) - z. Let l = n + -26. Solve -u = l*v - 2, -3*u = -2*v + 4*v - 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-187)\/(-476) + 1\/(-7). Which is the second biggest value?  (a) -0.2  (b) u  (c) 16\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*r - 307351 + 307351.\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**2 + 18*y + 1. Let v(t) = 80*t**2 - 1070*t + 1240. Let m(g) = 60*r(g) + v(g). Find the first derivative of m(u) wrt u.\nAnswer: 40*u + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4994064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**2\/3 - 110*o\/3 + 344.\nAnswer: 2*(o - 43)*(o - 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 8960291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from odrororddrdxypr. Give prob of picking 1 d and 1 r.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-67)\/(330980\/104)*25?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 + -5. Let d = i + 7. Let p be (4\/(-20))\/((-2)\/d). Is 0.2 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -48*i + 60*i - 48 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 5, 0, 1\/4, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 2*q**3 + 11*q**2 - 109*q + 7. Determine r(-6).\nAnswer: 625","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 42*x + 38. Let k(d) = -16*d - 13. Let p(z) = -3*j(z) - 8*k(z). Determine p(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) - 1*sqrt(1377) - sqrt(17) - sqrt(17) - sqrt(204)\/sqrt(3))**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y - 5*w - 16, -7*w = 3*y - 2*w + 14. What is the second smallest value in -5, y, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -372*l - 2006. What is the tens digit of t(-19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 9, u: 11}. What is prob of picking 1 u and 2 w?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18 - -24. What is the lowest common multiple of y and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 103211.\nAnswer: 29, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -1\/4927?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 4\/7  (b) 0.2  (c) -4  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 842*j = 3541*j - 4938 + 21458 + 2373 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 11161 (base 9) to base 10\nAnswer: 7426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -444 + 443.9. Let m = 5.11 + -0.11. Let c = -4 + m. Sort c, g, 5 in decreasing order.\nAnswer: 5, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.51887 to 1 decimal place.\nAnswer: 7.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 36995781 and 258?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 432187079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 54 - 51. Let x(j) be the first derivative of -1\/7*j**4 + 0*j**2 - 2\/35*j**5 - 2\/21*j**f + 3 + 0*j. Solve x(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -10*n**2 - 260*n + 1. Give m(-26).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -48 divided by -4\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 854*y = 848*y - 10 - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 84161, 84160, 84159, 84158?\n\"Answer: -t + 84162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 3*y + 43 = -0, -3*q + 121 = 5*y. Let r be (1 - -1) + 1\/1. Suppose -19 = -2*w + r*n, 2*n + 2*n = -w + q. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (140\/105*(-3)\/2)\/((-550)\/11)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 77 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/7, -1\/30, -0.0139, -4, 4\/5?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*a**2 - 14 + 7*a + 14 to the form c*a**2 + z*a + g and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*l - l + 3*l + (-2 - 3 + 3)*(-l + 3 - 3) + 9*l - 26 + 49 - 25 to the form z*l + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t = t - 60. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 5, r: 3, s: 3, q: 2}. Give prob of sequence qp.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1894*w - 63*w**3 + 56*w**3 + 1894*w.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20062*d**3 - 14562*d**3 - 20124*d**3.\nAnswer: -54748*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 + 5 - 2 + (1 - 4 + 4)*(3 - 1 - 1) - 2 + 3 - 3)*(238*c + 441*c + 31*c) + 2*c - 1 + 1 as t + g*c and give g.\nAnswer: -2128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/35, -1\/10, 91?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.1  (b) 9  (c) -2\/177171\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 334*y + 6. Let d be f(7). Suppose -3*m - d = -7*m. Suppose 0 = -5*b - 91 + m. Calculate the highest common factor of 11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -27 - -8?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10 and 468?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes after 6:59 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*o**3 + 14885*o**2 - 104000*o + 148500.\nAnswer: -5*(o - 2970)*(o - 5)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-121128)\/(-3185) + -38)*(-26)\/8?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**2 + 22*q + 95. Let p be y(26). Let d be ((9\/(-2))\/(-3))\/(p\/14880000). Round d to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -34*f**2*t**2*u + 36*f**2*t - 2*f*u - 11447*t**2*u - 2*u wrt f?\nAnswer: -68*f*t**2*u + 72*f*t - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -374, -2727, -9142, -21659, -42318?\n\"Answer: -340*n**3 + 9*n**2 - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q - 2*q = -2*t - 25, q - 5*t - 5 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -6*2\/(-7)*(-54)\/(-3564)*77?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-28)\/(-21) - -4) + (-3)\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 54\/((6 - 3) + -1). Does 13 divide d + 5\/(20\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-60)\/9)\/(-2)*11\/(-55).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -45\/4 and (-1)\/(-16)*-142 - -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 405 and 100?\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 52079273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:33 AM and 4:00 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 36*u**5 + 960*u**4 + 2*u**2 - 61859*u.\nAnswer: 720*u**3 + 11520*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1730 in -55, -3\/8, 13, 1\/6?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:38 PM and 12:26 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*m**4 + 0*m**4 - 3*m**4)*(-m - m + m + (4 - 4 - 2)*(0*m + m - 2*m))*(2 - 4 - 3).\nAnswer: 35*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/4*-2)\/(4\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3193737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.41 + -433.2.\nAnswer: -431.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -65.038 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -28 + 45c?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 12:44 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -43*n**2 + 2*n - 171. Let s(b) = -45*b**2 + 2*b - 172. Let h(q) = -3*a(q) + 2*s(q). What is the first derivative of h(t) wrt t?\nAnswer: 78*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.04  (b) 0  (c) 10  (d) -14  (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -262, -499, -738, -979, -1222, -1467?\n\"Answer: -g**2 - 234*g - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -617 + 704. Let k be z\/17 + 120\/(-1020). Solve 3 = 4*n - 3*s - 22, -11 = -k*n - 3*s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 1 h, and 1 k when three letters picked without replacement from {k: 2, h: 2, n: 1, t: 2, i: 4, j: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*a + 3*a - 2*a)*(0 + 0 + 7)*(2 + 0 + 1) in the form p*a + g and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -19 + 247*c - 45 - 56 + 47*c + 15*c**2.\nAnswer: 3*(c + 20)*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 131\/170280 and 37\/16236?\nAnswer: 6981480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -806*i - 1. Let u be p(1). Calculate the common denominator of -23\/20 and (-10)\/(-35) - u\/(-154).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3526801.71 rounded to the nearest one thousand?\nAnswer: -3527000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k. Let l be c(-3). Suppose -2*r = -y - 4*r - 10, 2*y - l*r - 1 = 0. What is the tens digit of 2\/(-4) + (-70)\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 1 - 1)*(113*j - 165*j + 97*j)*(0 + 3 + 0 + 2*j).\nAnswer: 180*j**2 + 270*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 6, j: 1, x: 4, u: 5}. What is prob of picking 1 x, 1 p, and 2 u?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -2*w + 1. Let q be l(-2). Suppose q*a = 2 - 7. Let y be (-15)\/10*((-30)\/(-9))\/a. What is the highest common divisor of y and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 19\/4 of a century?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6373727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 + -6. Let j(g) = -22*g - 3. Let v(d) = 9*d + 1. Let b(i) = -2*j(i) - 5*v(i). Let t(u) = 7*u - 4. Calculate a*b(k) + t(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 175 a factor of 3296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 112 in -2, -3\/4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4079668, 8159361, 12239066, 16318789, 20398536, 24478313, 28558126, 32637981?\nAnswer: 36717884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0136 * 1387.\nAnswer: 18.8632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**3 - 27*w**2 - 27*w + 40. Let a be p(28). Let g be 1 - -2 - (-2 + 332\/a). Which is bigger: -18 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 235753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 + 12. What is the greatest common divisor of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 0.3, 0.0116 in increasing order.\nAnswer: 0.0116, 0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 1 - 2)*(-5 - 5 + 3 + (-1 + 1 + 2)*(2 - 3 + 3) + 1 + 3 - 3 - 3 + 2 + 0)*(3*x - 2*x - 3*x) to c*x + v and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11*j**2*l**2 + 2*j**2*l - 6*j**2 + 2*j*l**3 + 4*j*l wrt l.\nAnswer: 22*j**2 + 12*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -15*l**2 - 58. Let g(o) = 8*o**2 + 29. What is -6*b(s) - 11*g(s)?\nAnswer: 2*s**2 + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**3 + 41*x**2 - 181*x + 27. Determine d(36).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -8*u + 18. Let s = -24 + 24. Suppose 5*r + r = s. Solve r*k + u = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -14  (b) -3\/5  (c) -25  (d) -5\/29  (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 383 or 385?\nAnswer: 383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/16 of a century in months?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 17 + -38. Let b = -21.0000117 - s. What is b rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the second derivative of -9*r**5\/20 + 4*r**3\/3 - 6*r. Find the second derivative of j(b) wrt b.\nAnswer: -54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the first derivative of -3*m**3 + 731. Let s(w) = 13*w**2. Calculate k(s(h)).\nAnswer: -1521*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 2*h - 3. Is -4 - h - 160\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-42)\/l*l**(-1\/8)*(l**36)**11 assuming l is positive.\nAnswer: l**(2823\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/c**(-3\/5))\/(c\/(c**(-13)\/c)))\/(c**5)**(2\/39) assuming c is positive.\nAnswer: c**(-2663\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -435 - -124?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 71038?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -7 + -742?\nAnswer: -750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00012561965181 rounded to six decimal places?\nAnswer: 0.000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 2*c**2 + 6 - c**2 - 7. Let d(j) = -j**2 - 4*j - 6. Let i be d(-3). Let o(p) = p**3 + 2*p**2 - 2*p. Let z be o(i). Determine b(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/1)\/(39\/(-1053)*-27).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -32 - -56. Let z be w\/(-9) + (1 - -1). What is the nearest to -1 in 3, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6870.52181 to the nearest integer.\nAnswer: 6871","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4030.5 times 0.7?\nAnswer: 2821.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -39 - -57. Let m be 1 - 25\/35 - (-206)\/14. Is m equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 1123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -964288*r - 561 + 964529*r + 561.\nAnswer: 241*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**3 + 9*k**2 - k - 7. Let g be r(-9). Suppose u + 25 = g*o, -u = -4*o + 6*o - 15. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 425766243?\nAnswer: 3, 7, 59, 7013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.5, 1\/5, 2\/13, -0.42?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**2 + 12*s - 14. Determine d(12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, 1\/25, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 7852157*a**4 + 35*a**3 - 1114729099?\nAnswer: 31408628*a**3 + 105*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 80 and 177880.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2127 (base 14) in base 7?\nAnswer: -22450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -17*k + 33*k - 18*k + 4*y - 8, 0 = -3*y + 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3575349023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, u: 2, t: 2}. Give prob of picking 1 u and 1 t.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4\/12251 - -1163677\/514542. What is the common denominator of x and 105\/8*(-4)\/6?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*t**2 - 3*t**2 + t**2 as h*t**2 + k + j*t and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6*f**5 - 2100*f**2 - 39461*f.\nAnswer: -120*f**3 - 4200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 37 + -33. Suppose 4*t = 4*o - 12, d*o + 0*t - 15 = 3*t. Suppose -i - 4*h - 8449 = -o*i, h - 4 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((30050\/220)\/(-601))\/(120\/(-22)).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 59\/12 + -21\/4. Let c = 18659 + -18659.1. What is the closest to c in -6, 1\/8, z?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67055 - 1500 = -987*n + 22249 for n.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1547 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -646 - -646. Suppose -4*a + z + 7 = w, -10*z + 12 = 4*a - 6*z. Solve -3*r + 3 = a*p - 0*r, p + 2 = 2*r for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -5963*w**2 + 2 - 5961*w**2 + w + 11923*w**2 - 1. Let x(f) = -4*f**2 + 5*f + 3. Determine -x(q) + 3*y(q).\nAnswer: q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 4424680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 10 = -6. Suppose -37 = 5*x - 7. Let c = i - x. Solve c*u = -2, 5*u + 8 + 2 = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 323*2.\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1391951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/(((s*s**3)\/s)\/s)*s)\/((s*s\/(s**(-6\/5)*s))\/s))**(-3))**(-2\/9) assuming s is positive.\nAnswer: s**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.97 + -0.33. Let v = -1.3 - z. Which is the nearest to v?  (a) 5\/4  (b) -1  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 15*r**2. Let l(p) = p + 17. What is n(l(h))?\nAnswer: 15*h**2 + 510*h + 4335","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - r**2 + 1)*(-3*r**2 + 4*r**2 + 0*r**2) - 9*r**2 + 19*r**2 - 14*r**4 - 9*r**2 as v*r**4 + a*r**2 + o*r + b*r**3 + h and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -318  (b) 3  (c) -2\/7  (d) 0.2  (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1852917 and 96.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 40 + -13. Let h = 10730 - 10521. What is the remainder when h is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 721 by 1068.\nAnswer: 721\/1068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**2 + 6335*c + 506708. Give x(-79).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/7  (b) 5  (c) -0.5  (d) 1\/681  (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 749 - -79. Suppose 0 = -4*n + q + 837, 2*n - h = -2*n + 4*q. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 6 = -u. Let n be 5*(-2)\/3*u\/5. What are the prime factors of -1 + -3 + n + 59?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.205 times -327112?\nAnswer: 394169.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 3) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m + 16 - 4. Let q be 3 + (10 - m)*-1. Let y = q - -29. Calculate the remainder when 49 is divided by y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -509274 + 47358 = -5076*p for p.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 18*h - 144. Let c be f(8). What is the common denominator of 0 + -1 + ((-346)\/(-216) - c) and -49\/108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = -0*l - 36. Let t = l - -20. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9970.354 - 9969. Are z and -1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1564715 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4297.5 + 4298. Which is the nearest to 1\/4?  (a) 1  (b) -2\/13  (c) 0.2  (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(2\/23)\/(i**(-2\/3)*i))\/((i\/i**(-5))\/(i\/(i*i*i**(-3\/4)))))\/(((i\/((i*i**(-3)*i)\/i))\/(i\/(i*i**(-6))))\/(i**1*i\/i**2)) assuming i is positive.\nAnswer: i**(-965\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 908.8772 grams in micrograms?\nAnswer: 908877200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 3*k + 2. Let a(v) = 278*v**3 + 3*v + 4. Give a(z) - 2*c(z).\nAnswer: 278*z**3 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five eighths of a gram in milligrams?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + 2 - 4*c - 7*c + (-1 + 1 - 1)*(-5*c + 6*c + 3*c) + 2 + 3*c - 2.\nAnswer: -12*c + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the first derivative of o**3 - 5*o**2 + 16*o - 6. What is the least common multiple of p(4) and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.7021947 centuries?\nAnswer: 0.07021947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 119*k - 144*k - 3 + 4.\nAnswer: -25*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-4))**44)**24 assuming p is positive.\nAnswer: p**(-4224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44343261?\nAnswer: 3, 107, 15349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m - 6019 + 5991 = -4*q, -468 = -39*q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -10 + (-4 - -13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 275 and 500.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 427*n - 1708. What is p(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 143610674.\nAnswer: 2, 2137, 33601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and -6345.\nAnswer: 31725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -1 - g + g - 4*g + 2*g. Let q be 1\/(34\/(-8) - 16\/(-4)). What is c(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.91 at least 13981259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*x**3 - 508*x**2 + 672*x = 0. What is x?\nAnswer: 0, 7\/5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Total of 3137858 and 1.808554.\nAnswer: 3137859.808554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l + 1. Let o(v) = 4*v**2 + v + 8. Let a(h) = -k(h) + o(h). What is the units digit of a(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 172723*d - 345445. Determine z(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8729 - 8729 - 2*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -2*u**3 - 35*u**2 - 65*u - 16. Let o be c(-15). Is o >= -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(4 + -4 + -1 + 0 + sqrt(1331)) + 4.\nAnswer: -11*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -7\/4*g**2 - 1\/4*g**5 + 13\/4*g**3 - 5\/4*g**4 + 0*g + 0.\nAnswer: -g**2*(g - 1)**2*(g + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2980962, -11923839, -26828632, -47695341?\n\"Answer: -2980958*a**2 - 3*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the first derivative of -o**5\/25 + 7*o**4\/20 - 6*o**3\/5 + 2*o**2 - 8*o\/5 + 1. Factor y(q).\nAnswer: -(q - 2)**3*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 140 = -6*c. Calculate the highest common factor of 28 and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - 2 - (-8 - 252\/(-54)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -20 - -36. Let n = r - 11. Let s = 2.9 - 3. Which is the closest to s?  (a) 0.2  (b) n  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 990, 1979, 2968?\nAnswer: 3957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -43, -3, -2\/179, -1\/11?\nAnswer: -2\/179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -100 + 1280*f + 102 - 2830*f to j + c*f and give c.\nAnswer: -1550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3682 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (((5*(sqrt(77) + (1*sqrt(77) - sqrt(77))) - sqrt(77)) + sqrt(77)*-2*2)*2)\/(1*(-3*sqrt(176))\/sqrt(4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -n**4 + 582*n**2 + 2*n**4 - 560*n**2 wrt n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the first derivative of 0*h**2 + 11\/3*h**3 - 64 - 56*h. What is the derivative of w(g) wrt g?\nAnswer: 22*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(1\/7))**44 assuming s is positive.\nAnswer: s**(44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 + 594?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 21*z**3 - 1429*z**2 + 75*z - 512. Determine m(68).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -2*y**2 + 8*y + 68. Let m be a(8). Solve 0 = 2*l + m*h - 14, -25 + 2 = -5*l - 4*h for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**2 + 1. Let c(w) = w - 1. Let g(j) = j**2 + 7*j + 8. Let m be g(-6). Suppose 30*k + 3*p + 12 = 33*k, 0 = -4*k + 5*p + 21. Give k*c(q) + m*r(q).\nAnswer: -2*q**2 - q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 800 is divided by 257.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 51*c - 197*c + 12334306 - 4978826. What are the prime factors of c?\nAnswer: 2, 5, 11, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 9*j**3 - 17*j**2 + 3*j - 1. Let g(p) = -5*p**3 + 9*p**2 - 2*p + 1. Let k(l) = -7*g(l) - 4*u(l). Let i = 12 - 8. Is k(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n - i - 97, 5*i = 2*n + n + 109. Let y be (-6)\/(-2)*n\/(-3). Let q be -44*(3\/(-2))\/3. What is the greatest common factor of q and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2777, 2763, 2743, 2717, 2685, 2647, 2603?\n\"Answer: -3*c**2 - 5*c + 2785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*j**3*p*q**2 + 2929*j**3*p*q + 3*j**2*p*q - 2*j**2*q**2 - 28*j*p*q**2 + 4*j*q wrt j.\nAnswer: -12*p*q**2 + 17574*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10211 + -122010?\nAnswer: -202221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-7))**(-4))**(-4\/25) assuming v is positive.\nAnswer: v**(-112\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -698*c - 694*c + 1387*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 5*q + 669 + 1013 = 0, 3*q - 6 = 0. Does 47 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -797 - -903. Is 0 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -21 - -23. What is the smallest value in s, 3\/5, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 466, 466, 492, 544, 622, 726, 856?\n\"Answer: 13*z**2 - 39*z + 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (6\/(-9))\/((-7)\/((-189)\/6)). What is the nearest to -2\/7 in u, -3\/5, 2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -75*t - 1. Let q be p(1). Let l = 2 - q. Calculate the smallest common multiple of l and 10.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 - (-1 - -2 - (-51 + 59))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**3 - 6*v**2 + 7*v - 6. Let m be k(5). Suppose m*u = 2*u. Suppose u*n - n + 13 = 4*y, -y + 27 = 5*n. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence er when two letters picked without replacement from {r: 1, l: 1, e: 1, j: 1, u: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -2*p - 2. Let m(s) = -2*s + 9. Let u(y) = -y + 4. Let g be -4 + 4\/(12\/39). Let c(f) = g*u(f) - 4*m(f). Calculate -4*c(o) + r(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 - -4240211?\nAnswer: 4240214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9 - -7. Let a = 4 + n. Let h = 125 - 125.06. Is a > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/((-37)\/(-5) + -7). Solve n = -5*r - 8, -g*r + 0*r + 3*n = 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-10)\/8 + (-8652675)\/(-300) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -18\/17 - -37\/51. Sort x, 3, 1\/5, -3.\nAnswer: -3, x, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1341120722?\nAnswer: 2, 37, 43, 421471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11 + 385. What is the least common multiple of 264 and r?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ifk when three letters picked without replacement from kfqckkfkik.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-20)\/(-18)*4\/10. Let u = -0.07 - 0.13. What is the biggest value in 5\/3, g, u?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 171 and 3051.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 9619765?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 75 = 7*b + 89 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-24*q**2 + 1 + 0 + 26*q**2 + 2*q)*(-q + 4 - 4) in the form u*q**3 + p*q**2 + g*q + b and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 + 1 = n. Suppose -n*z - 6 = -14*z. Solve 2*t - 2 = z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -47*q + 2*q**2 - 5*q**4 - 5*q**2 + 45*q + 2*q**2 - 19 + 12 in the form j*q + t*q**3 + g*q**2 + a*q**4 + d and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (17\/(1700\/(-150)))\/(7\/6).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 51973.5 meters in kilometers?\nAnswer: 51.9735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 3595424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t = -4*o + 40, 0 = -t - 2*o - 3*o + 29 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 11 - 43 = 0. Let k(f) = f - 7. Let d be k(q). Solve -h = -2 - d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6281.914 centuries in decades?\nAnswer: 62819.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ytzrr. What is prob of sequence try?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -26*s - 1371 + 6181. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-4*(-1 + sqrt(2736) + -1 + (-1 + sqrt(2736))*-1 + sqrt(2736) + -3) + 5))**2.\nAnswer: -8064*sqrt(19) + 176868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 10*n - 246. Let b be l(25). What is the derivative of 1727 + 5*c**4 + 161*c**b - 1675 wrt c?\nAnswer: 664*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1824 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -51?\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -209 = -3*u - 16*u. Let q(w) = 2*w - 3. Calculate the lowest common multiple of q(7) and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -1, -254 in descending order.\nAnswer: -1, -6, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/(-5)*((-5)\/14 - 0)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -16546*f + 9034112. What is a(546)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i - 5*t = -10, -3*i + 6*t - 2*t - 7 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xax when three letters picked without replacement from {a: 4, p: 3, x: 9}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8404885 is divided by 323.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*y**3 - 7*y + 7*y)*(-2*y + 226*y**2 + 4*y - 48*y**2 - 2).\nAnswer: -890*y**5 - 10*y**4 + 10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6 + 4 + 3 + (3 - 3 + 1)*(-1 + 0 + 3))*(52 + 45562*i - 22771*i - 22781*i)*(i**2 - i**2 - 2*i**3) to d*i**2 + h*i**3 + l + t*i + c*i**4 and give h.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 - 21. Let u = 17 + t. Let m = -704\/9 - -78. Does m = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b - 2*b + 4*b)*(-2 + 2 + 2*b**2)*(0*b**2 + 0*b**2 - 3*b**2 + (-2*b + 0*b + 0*b)*(0 - 2*b + 0) + b**2 + 0*b**2 + 0*b**2).\nAnswer: 4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v + 2 = -3*p, 26081*p - 2*v = 26082*p + 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 10120201211210 (base 3) to base 6\nAnswer: 104450550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*d**2*f - 6*d**2*n**2 + 3*d**2*y**3 - 25*d*f*n**2 + 59*d*n**2*y**3 - 45*f*n*y**3 - 10*f*n*y**2 wrt y.\nAnswer: 18*d**2 + 354*d*n**2 - 270*f*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 50 and 195495.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 684 - 730. Suppose 10 = -r + 6*r, -2*x = -3*r + 88. Let g = x - u. Solve 0 = -3*k - z - 2*z, 0 = -g*k + z + 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -z. Let c = 14 - z. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 671 is divided by 165?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 2*y. Let f(a) be the second derivative of -a**4\/4 - 6*a. What is f(l(d))?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -496 + 557. Suppose -62 = -b*m + 60. Solve 3*x + 4 = -3*o + x, 2*o = -x - m for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -103961*i**4*s - 2*i**2*s - 58658*i*s - 2 wrt i?\nAnswer: -2495064*i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 11*i + 76. Let n be r(-7). Let b = 14 + n. Calculate the greatest common factor of 416 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 22 - 14. Suppose o - 6 - f = 0. Suppose -5*p + 0*p + 20 = 0. Calculate the lowest common multiple of p and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15.76605 rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 155123.64ms in minutes?\nAnswer: 2.585394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 156 = 2*m + 150. Suppose -m*l - 44 = -2*p, -3*l + 5 = 2*p - 15. Solve 4*z + 2*d - d - p = 0, 0 = -z - 4*d - 11 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**2 - 5*v - 4. Let y be f(7). Suppose 2*o - 3*o + y = 0. Solve n - o = 2*r - 2, 5*n = -10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-9)\/(-6))\/((-1)\/(-52)*6). Suppose -i = -c - 6. Calculate the remainder when 40 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(76) - (sqrt(76) + -1)) + 5*(3 + sqrt(76)) + 5 + -4)**2.\nAnswer: 240*sqrt(19) + 2044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = m - 3*m. Suppose m*o + 24 = 4*o. Let j be -8*(-2)\/o + -2. Which is the closest to -0.1?  (a) 4  (b) -5  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 27, 1, -323 in increasing order.\nAnswer: -323, -5, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1021 or -1071?\nAnswer: -1021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -3696.6428 to the nearest 10.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.558 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 + -318957354.29?\nAnswer: -318957012.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 136392 and 340980.\nAnswer: 681960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 + 14 - 45*b**2 + 6*b**2.\nAnswer: -39*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 8051444507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**2 - 13*h - 7. What is v(10)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -10116*y**3 + 6*y**2 + 2*y + 1. What are the prime factors of b(-1)?\nAnswer: 29, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-882)\/(-90) + (-4)\/(-20). Let s(w) be the second derivative of 0 + 1\/4*w**5 + f*w + 10\/3*w**3 + 0*w**2 - 25\/12*w**4. Let s(t) = 0. Calculate t.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 160432346?\nAnswer: 2, 80216173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-224)\/128*24\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -35 - -29. Let c be 2 - 0\/(-1) - (w + 5). Suppose c*n - 14 = -3*a - 5, -2*a + 18 = -4*n. Which is greater: 11 or n?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 401341 (base 6) in base 3?\nAnswer: 1121010221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 14*v**2 - 59*v + 29. Let r be j(13). Calculate the greatest common divisor of 132 and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k - k - k)*(0*k**2 + 4*k**2 + 12*k**2) - k**3 - 4*k**3 + 6*k**3 + 4*k**2 + 6*k**3 - 5*k**3 - 5*k**2.\nAnswer: 18*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 16*(14\/8 + -1). Let m be (-309)\/p + (-1)\/4. Is (-204)\/m + (-12)\/(-78) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t**4\/7 - 17152*t**3\/7 - 36756732*t**2\/7 + 73564928*t\/7 - 36791042\/7 = 0 for t.\nAnswer: -4289, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 5*r + 21 = 2*n, 27 = 4*n - r. Let s = -6 + 48. Calculate the highest common divisor of s and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 4932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(102)\/((-2*sqrt(726) - sqrt(6)) + sqrt(6)).\nAnswer: -sqrt(17)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**1\/y**(2\/3)*(y*y*y**(-2)\/y*y*y)\/y**(-1\/5) assuming y is positive.\nAnswer: y**(23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1001 - -1519. Is 74 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2111 (base 3) to base 5.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-740)\/296)\/(0 - 2\/4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 453594.\nAnswer: 2, 3, 17, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (35\/(-5) - (5 - (14 - 12))) + 87\/7\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -50324, -100647, -150970?\n\"Answer: -50323*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 11*n**3 - 4*n**2 + 4*n - 3. Let h(x) = 19*x**3 - 9*x**2 + 6*x - 5. Give 3*h(l) - 5*v(l).\nAnswer: 2*l**3 - 7*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 271216267?\nAnswer: 7, 38745181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n**2 - 185*n = 0.\nAnswer: 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q + 16 + 8. Solve 4*r = u + q, 0*r = -r + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) -2  (b) 1  (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 5*q**3 + 11*q - 5. Let j(i) = -10*i**3 - i**2 - 21*i + 10. Let h(f) = -4*j(f) - 7*r(f). Let k(z) = -z**3 - z**2 - z + 1. What is h(m) + 4*k(m)?\nAnswer: m**3 + 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 3  (b) -4\/1927  (c) 5  (d) -2  (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2721232 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21852*k**2 + 21867*k**2 - 43735*k**2.\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1342463223 to the power of 1\/2, to the nearest integer?\nAnswer: 36640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 9806.6491 rounded to the nearest ten?\nAnswer: 9810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(2\/11)\/n*n**(2\/7))**(3\/20)\/(n**0\/(n\/(n*n*n**5))*n**(4\/11)*n\/(n*(n\/(n\/n**(-4)))\/n)) assuming n is positive.\nAnswer: n**(-17623\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 44327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -187330 rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ykuz when four letters picked without replacement from bkzbuzbyyz?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k - 2*k + 4*k. Let y(r) = 2*r. What is q(y(o))?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t + 18*r + 17 = 19*r, 0 = 15*t - 5*r + 60 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in seven halves of a microsecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-25)\/(-15)*(1 - -2). Suppose -f + a*q + 3 + 62 = 0, f - 4*q - 64 = 0. Suppose -5*l = -f - 115. Calculate the highest common factor of 14 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*k + 199 - 547 = -o, 4*k + 5*o - 221 = 0 for k.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -2*(-1)\/16 + 25\/(-8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kwme when four letters picked without replacement from wmekwmwmmwwwe.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/6*1\/2. Which is the third smallest value?  (a) 3\/2  (b) d  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5\/451 or 7?\nAnswer: -5\/451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-30)\/(n**(-27)*n))\/(n**13)**25 assuming n is positive.\nAnswer: n**(-329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 87371 or -2?\nAnswer: 87371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 12 = -10. Suppose -2*u - z + 13 = 0. Let t(l) = 7*l**3 - u + 6*l**3 + 3*l**2 + 2*l - 14*l**3. Calculate t(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8875 divide 2713624949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes after 3:19 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 407*o**3*r**2 - 4*o*r**3 - 1078*r**3 with respect to o.\nAnswer: 1221*o**2*r**2 - 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 4 = -a, r + 0 = -5*a + 31. Suppose -1 + 13 = 3*p. Let l be p*(19\/4 - 4). Calculate the highest common divisor of a and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 66 divide 623365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.18 - 0.52. Let h = 0.5 + o. Let l = -1.74 - -1.34. What is the smallest value in -0.5, h, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*v - 10*v + 70. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2212345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 19661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 10\/(-4)*(-16)\/(-20). Does 4 divide 8\/(-8) - 20\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**3 - 52*f**2 - 412*f + 9. Determine y(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2787262 is divided by 221.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 642670939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2216431 (base 9) to base 16.\nAnswer: 12314b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2254757471 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -840 + 400. What is the smallest common multiple of (-10)\/45 + l\/(-36) and 304?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1075 - 6535\/6. What is the common denominator of 31\/42 and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -911, -926, -965, -1040, -1163, -1346, -1601, -1940?\nAnswer: -2375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 7*g**2 - 86*g + 183. Calculate i(9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10904*p = -108890 - 204233 + 13251 - 147192 for p.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10000 - 10001?\nAnswer: -100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 792 - -97. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**2 - 6*r + 9. Let v be s(4). Let x(u) = 17*u**2 - u. Let o = 20 - -4. Calculate the least common multiple of o and x(v).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, v: 5}. Give prob of sequence iiv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2 - 2)*(-b**3 + 0*b**3 + 3*b**3) + b**3 - 2*b**3 + 2*b**3 + b**3 + 0*b**3 + b**3 - 356 + 356 - 32*b**3 as p + s*b**3 + h*b**2 + c*b and give s.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 465 is divided by 124?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.5, 22063, -1, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 149146797 is divided by 132.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((6 - 3)\/(-3))\/(3\/(-33)). Suppose 21 = 4*x - z, 0*x + k = -x - 3*z. Solve b - 5 = -x*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 + 26 = -5*x. Suppose -71*n + 96 - 25 = -0*n. Suppose -29 = d - 4*b - 9, -12 = -3*b. Sort d, x, n in increasing order.\nAnswer: d, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 + -11020111?\nAnswer: -11020112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**2 + 4*t + 9. What is d(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5371 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u - 18. Let t be h(0). Let m be -2 - (-1)\/(1\/t). Let z = m - -40. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 + 2. Let a be 3 - -2 - (4 + -2). Let y = -2 + a. Calculate the lowest common multiple of n and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7258694 is divided by 2419555?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**2 + 28*x + 55. Let v be a(-27). Suppose 4*t = -f + 3*t + v, -f - 3*t = -24. Calculate the greatest common factor of 150 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 78 + -62. What is the lowest common multiple of 260 and z?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11875\/(-4750))\/((-30)\/(-8))*11*3.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**3 + 3*z**2 - 4*z + 3. Let p be k(-4). Suppose 0*d + p*d = 0. Solve r + d*v - 3 = -4*v, 3*v = 3*r - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18, 42, 104, 222, 414, 698, 1092, 1614?\nAnswer: 2282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and 19\/3430698 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4550.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes before 6:39 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 98 - 52 + r - 49. Calculate l(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the second derivative of -121*p**4\/12 + 407*p**2\/2 - 3*p + 131. Differentiate z(t) wrt t.\nAnswer: -242*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2684 - -2989. What is the remainder when b is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 9\/86672324 and 16\/17.\nAnswer: 86672324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 462220 to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 2*m**2 + 17*m + 5. Let g(k) = 5*k**2 + 35*k + 10. Let s(l) = 4*g(l) - 9*j(l). Let z be s(7). Solve 4*r + 18 = -z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/9 in -0.4, 0.3, 74?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0*(143\/52)\/(-11). What is the closest to l in 1\/5, -6, 14?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the third derivative of j**11\/332640 + j**10\/50400 + j**9\/30240 - j**5\/2 - j**3\/3 - 115*j**2. Let u(y) be the third derivative of q(y). Factor u(m).\nAnswer: m**3*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2104 - 742. List the prime factors of a.\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than or equal to 2\/146274965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**2 + 2*k - 5. Let a be v(-4). Suppose -a*m - 6 = -18. Suppose -m*p = -33 + 1. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, 72, 1?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}