{"text":"Question: Let b(j) = -14*j**2 + 4 + 37*j**2 - 13*j**2. Let z(t) = 2*t**2. Determine z(b(h)).\nAnswer: 200*h**4 + 160*h**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*sqrt(95)\/(sqrt(25)\/sqrt(5)).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 57 + -61. What is the nearest to s in 0.5, 1\/8, 2\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 + -304598.984\nAnswer: -304595.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-1\/3)\/c)**(-46)*c\/(c\/((c*(c*c**(2\/11))\/c)\/c)*c)*c**1*c*(c\/(c\/((c*c*c**(-1\/4))\/c))*c*c**(-2))**(-30) assuming c is positive.\nAnswer: c**(4621\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -21112122 - -2022220?\nAnswer: -12012202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 79*f - 5 - 589*f**2 - 682*f**2 - 851*f**2 + 200*f**2 + 3*f**2 wrt f.\nAnswer: -3838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(3) + sqrt(12) + -5 - (sqrt(12)\/sqrt(36) - sqrt(3)))*2 + 1 + (sqrt(135) - 2*sqrt(135))\/sqrt(5))**2.\nAnswer: -78*sqrt(3) + 412\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4 - -4.02. Let p = 0.02 - g. Is p < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*l - 16*l + 12 = 0. Let w(h) be the first derivative of h**4\/4 + 5*h**3\/3 - 4*h**2 - 2*h - 1. List the prime factors of w(l).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5 + -3. Suppose 2*w - 9 = q + d*q, 5*q + 25 = 0. Let k = 0.5 - 0.4. Sort w, k, -0.4 in decreasing order.\nAnswer: k, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 3b (base 15) to base 12\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2811*p = 2806*p - 3*m + 24, -6*p + 15 = -m for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*r**3 + 0*r**3 - 2*r**3)*(-3*r**2 + 5*r**2 - r**2 + 1) + 3866*r**5 + 67*r + 66*r - 134*r.\nAnswer: 3867*r**5 + r**3 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2.55 and 5.\nAnswer: 12.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 109490800413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 146842, 146828, 146814?\n\"Answer: -14*y + 146856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 71\/13445484 and 29\/12.\nAnswer: 13445484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4720 + -2794. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((z**(-6)*z)\/z)\/z*z*z*z)\/z**3)**(-1\/61))**(-1\/7) assuming z is positive.\nAnswer: z**(-1\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = 10 + -7. Let w(f) = -f**2 + 4*f. Let h be w(s). Solve -4 = 4*u + 2*i, -2*i - 3 - 1 = h*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = -9*q**2. Let t(s) = -s**2 - 3. Let b = 19 - 17. Let i(a) = a**2 + 2. Let y(u) = b*t(u) + 3*i(u). Give l(y(d)).\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) be the second derivative of -37*m**5\/20 - 11*m**4\/6 - 3*m. What is the third derivative of q(d) wrt d?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -i + 2. Let r(f) = 135*f + 5. Give 2*n(l) - r(l).\nAnswer: -137*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -133325 - 10191 = -983*n - 275*n + 21282 for n.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 234.4 to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -2404, 2, -1, -6 in ascending order.\nAnswer: -2404, -6, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1549*f - 2770*f**2 + 3816291 - 3816291 wrt f?\nAnswer: -5540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 115 divided by -38150?\nAnswer: -23\/7630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 3818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 854109 times 0.029\nAnswer: 24769.161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -122*x + 637. Give f(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 23126 (base 7) to base 14.\nAnswer: 2216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 2*h = 2*d + 12, 2*h = -2. Solve -s + d - 5 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + (-1 + sqrt(128)\/(-2*sqrt(4)) - (sqrt(160)\/(sqrt(5)*1) + -5 + sqrt(288) + sqrt(32))))*-3)**2.\nAnswer: -1980*sqrt(2) + 8937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (-52)\/39*(-4 + (13 - 6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -674040 - 3?\nAnswer: -674043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 261876784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = a - 5. Suppose -1056 = a*o - 8*o. Suppose 0 = -3*v - 61 + o. Does 25 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.1 - 1.3. Let n = 1 + t. Let y = -3 - -2. Which is the closest to -0.2? (a) y (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 58 and 1392.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = -3*d + 23, 2*d - 3*p - 4 = 26. Suppose -3 - 9 = -3*b. Suppose -l - 37 = -b*g - 14, -g = -l - 2. Calculate the smallest common multiple of d and g.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -44, -4, -2, -3 in ascending order.\nAnswer: -44, -5, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -29 (base 16) to base 5\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 298 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -537*q + 1097*q - 513*q.\nAnswer: 47*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1251817 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 4*l + 2. Let u(y) = -6*y + 23. Let b be u(4). Let q(d) = 1. What is b*n(f) + q(f)?\nAnswer: -4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1656803944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*y = 54*y - 369. Which is the second smallest value? (a) 0.02 (b) y (c) -1\/9 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from {b: 10, u: 2, i: 1, n: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 9552, 9589, 9648, 9729, 9832, 9957, 10104?\n\"Answer: 11*d**2 + 4*d + 9537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 34560963 is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -2023103033 (base 4) to base 8\nAnswer: -2132317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -74*f - 68*f + 68*f + f**2 in the form v*f + s*f**2 + l and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - 24) + (19 - 5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = -4*c + 6, 11 + 10 = 4*c + 3*j. Solve 24 = c*i + 5*b - 16, 2*i = -b + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 8.198123 - -0.014277. Round v to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 17\/963 and -41\/100932.\nAnswer: 32399172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1)\/((16\/(-4))\/(-16)). Let f(j) = 18*j**2 + 11*j + 9. Is f(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3526716 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 451.8196 kilograms?\nAnswer: 451819600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 235187 is divided by 78392.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 68881103?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -13*y + y + 18 + 1. Let x(p) = -12*p + 19. Let a(w) = 5*c(w) - 6*x(w). What are the prime factors of a(8)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -28*q - 41. Suppose -5*n - 3*l = -2*l + 57, 3*n + 37 = -2*l. List the prime factors of a(n).\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-1\/3)*q*q\/q**(2\/9))\/((q\/q**(-1\/5))\/q*(q*q*q\/(q*q*((((q\/q**(1\/9)*q*q)\/q)\/q)\/q)\/q))\/q) assuming q is positive.\nAnswer: q**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 55 divide 30848677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 647, -41 in increasing order.\nAnswer: -41, -3, 647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2012 + 2220102200021?\nAnswer: 2220102202110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 3 plus 212226930.08?\nAnswer: 212226933.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*x = -10*x. Solve x = s + 5*d - 0 - 1, d = 4*s + 17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 155 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express -924*w + 13627*w**2 + 461*w + 463*w + 17051*w**2 in the form t + r*w + h*w**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -26 = -22*p - 4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-46)\/6)\/((-196)\/96 + 2). Let a = 109 - p. Let k = 109 + a. What is the greatest common factor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1 + 54\/30 - 3*1. Which is the second smallest value? (a) 8 (b) 4 (c) u (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -809 + 1959. Suppose -31*i + q = -26*i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 6 + (0 + -48)*(-12)\/(-36) + 3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1093624085?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2110*o + 2115*o = 35. Solve -18 = o*r - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -v**3 + 28*v**2 - 31*v + 144. Determine r(27).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -4\/9, 13, -1 in ascending order.\nAnswer: -1, -4\/9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 208 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -7 (b) 0.2 (c) 1 (d) 14\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 + 5 - (-1 - (2 + -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -19\/36 + -1\/4. Let j be (27\/(-86))\/((-14)\/(-56)). Let s = 1249\/344 + j. Calculate the common denominator of s and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wvvw when four letters picked without replacement from vvvwwvwvvwwvvvwmvw?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + 3 + (-4)\/(-7)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) be the third derivative of -w**6\/40 + 7*w**5\/5 + 433*w**2. Factor b(s).\nAnswer: -3*s**2*(s - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n = 3*b + 27, -269*b + 273*b - 2*n = 20. Let a = 2357\/68800 - -1\/1600. Which is greater: b or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 324 minutes before 7:04 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -196*j**3*r - 2322*j**3 + 3*r**4 wrt r?\nAnswer: -196*j**3 + 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*v**5 - 21084*v**4 - 5498864*v**3 - 16306928*v**2 + 84288*v + 21742592 = 0.\nAnswer: -4996, -272, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/(g**(-2\/5)*g))**24\/(((g*g\/((g**(-4)\/g)\/g*g))\/g)\/g**(-4)))\/((((g**4*g*g)\/g)\/(g*g*g**(2\/7)))\/(g**(-6)\/(g*(g*g**(1\/5)\/g)\/g))) assuming g is positive.\nAnswer: g**(-326\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = a - 4*l - 20, -2507*l = -a - 2504*l + 18 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -1717035 by -3039.\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -313 - -3564?\nAnswer: 3251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*c**2 + 40405*c - 486793.\nAnswer: 4*c + 40405","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -34*p + 36*p = 14 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 265899969.\nAnswer: 3, 9848147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 573 minutes before 2:34 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 2*s**3 - 2*s**2 + 2. Let d be 1683\/55 + 8\/(-5) + 1. Suppose 5*c = 10, 4*w - c - d = -24. What is k(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-nine halves of a microgram in nanograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -1.7041974 to one decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e, 1 k, and 1 g when three letters picked without replacement from {u: 1, g: 2, k: 1, e: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -42565747*v + 25897080.\nAnswer: -42565747","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out -1926.4 * 0.2.\nAnswer: -385.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uucc when four letters picked without replacement from uccccccu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 11150 and 3377558?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1184801760 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -4 (b) -47\/2 (c) 6 (d) 9945 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -f - f + 24. Calculate the remainder when f is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1527 + -808. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*p - 10, 3*x + 1 = 2*p - 0*p. Suppose h + x*h = 0. Factor d**4 + h*d**2 + 0*d**3 + 1\/2*d**5 + 0*d + 0.\nAnswer: d**4*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (2\/(-11) + 570\/110)\/1. Suppose 12 = -3*z + 4*z + 4*x, 15 = z + k*x. What is n in 2\/5*n**5 + z + 0*n**4 + 0*n - 6\/5*n**3 + 4\/5*n**2 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 3, f: 7, v: 1, o: 7, g: 1, x: 1}. What is prob of sequence gxfv?\nAnswer: 7\/116280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -8559c (base 13) in base 9?\nAnswer: -405743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o + 3*o = 9. Let c(s) = -4*s**3 - s - 2. Let l be c(-1). Find the third derivative of 3*x**o + 4*x**2 - l*x**3 - 3*x**4 wrt x.\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 9*z + 3. Let v be h(0). Solve v = x + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = h**3 + 9*h**2 - 5*h - 27. Let t be c(-8). Let g = 84 - t. What is the second derivative of 21*m - 30*m**4 + 2*m + g*m wrt m?\nAnswer: -360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 22*t**2 + 937*t - 15009. Determine y(-55).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify j*j**36*j*(((j*j**(-38))\/j)\/j*j)\/j assuming j is positive.\nAnswer: 1\/j","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -1 < 441\/4234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + 1830 = 5*r, -5*r - 5*l = -r - 1455. Let g = 373 - r. What is the greatest common divisor of g and 60?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -11*m - 34. Let y be p(-3). Let i(w) = -13*w - 10. Let q be i(y). Solve 2*r = 4*u + 18, -q + 1 = -4*u - 2*r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 542741110 rounded to the nearest 100000?\nAnswer: 542700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 104377 = -54*t + 104269 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 9*p + 5. Calculate j(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -17*x - 141. Determine j(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -842 + 845. Which is the second smallest value? (a) 1\/7 (b) l (c) 1 (d) -2\/165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be -1*3\/6*0. Solve -4*o + 7 - 19 = m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 167 a factor of 349865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -9462, -37951, -85468, -152013?\nAnswer: -237586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Product of 0 and -0.061.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6.652 + -1.99. Round k to one dp.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3 - 4. Calculate the common denominator of n + ((-318)\/(-164))\/3 and 6 - (16 - (-6 + 18)).\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 632*b**5 + 37289*b**4 + 517035*b**3 + 481138*b**2 + 760*b = 0. What is b?\nAnswer: -38, -20, -1, -1\/632, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 324 is divided by 299.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 128841 * 34\nAnswer: 4380594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 104711700 to the nearest one million.\nAnswer: 105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 7513 + 4aa?\nAnswer: 79c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 3345629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = j**3 - 3*j**2 + 141*j + 485. Determine b(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -17, 6\/11, -908 in ascending order.\nAnswer: -908, -17, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 5005 and 455?\nAnswer: 5005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -5034 (base 11) to base 15\nAnswer: -1eb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) be the third derivative of i**5\/60 + i**4\/8 - i**3\/6 + 3*i**2. Calculate the lowest common multiple of t(-4) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 93378684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is a30 + -13?\nAnswer: a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Multiply 70 and -8110.\nAnswer: -567700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -1958*311.117\nAnswer: -609167.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/2742 and 5\/18?\nAnswer: 8226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide 824 by -1.\nAnswer: -824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = q**3 - 11*q**2 + 29*q + 3. What is r(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 66293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: a52066 (base 16) to base 8\nAnswer: 51220146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2396158 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6352593?\nAnswer: 3, 13, 19, 8573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*g - 3 + 33 = 0. Let p be (-1)\/g + (-181)\/5. Is (4 + p)*3\/(-2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -519*o - 30*o + 555*o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -m**2 - 42*m + 58*m - 5 - 43*m + 5 + 23*m. Let t(f) = 2*f - 2*f - f. Calculate t(n(p)).\nAnswer: p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.1 (b) -1 (c) 5 (d) 2.98 (e) -1\/9 (f) 172\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -22*m + 31*m - 126. Calculate the lowest common multiple of m and 92.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor t**4 + 2239*t**3 - 682992*t**2.\nAnswer: t**2*(t - 272)*(t + 2511)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 10 = 3*v. Suppose -v*u + 2 = -0. Suppose 10 - u = 3*g. Solve g*s = -5*c + 3, s - 4*c - 1 = c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = u**3 - 4*u**2 + 2*u - 2. Let x(r) = -r**2. What is m(i) + 2*x(i)?\nAnswer: i**3 - 6*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -25*h - 43. Let l = -432 - -430. Let b be t(l). Let j(p) = p - 7. Determine j(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 124 - 0?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = -713\/21 + 249\/14. Let x be 2\/(-1) + -6595 - -4. What is the common denominator of x\/(-1140) + 4\/(-3) and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6*-4*(-4)\/96?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-27 - (-67 - -29)) + (17 - 2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -893, -1818, -2765, -3746, -4773, -5858?\nAnswer: -7013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -14*i**4 - 4*i - 15. Let l(b) = -b. Let g(t) = 4*l(t) - s(t). What is the first derivative of g(m) wrt m?\nAnswer: 56*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -q - 79*q + 16 + 144. Let g(v) be the first derivative of -18 + 0*v**3 + 6*v - 3\/4*v**4 + 9\/2*v**q. Find p, given that g(p) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -19*z**2 - z - 1. Determine n(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*h**4 - 3*h**4 + 7*h**4)*(-2*h + 6 - 6)*(0 + 1 - 4).\nAnswer: 12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 36908208 to the nearest integer?\nAnswer: 6075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (h**5 + 2*h**4 - 2*h**4)*(18 + 9 - 7)*(-6 + 2 + 1).\nAnswer: -60*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jjjajyjryjrjwwyyry. Give prob of sequence rwj.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 1 + 3)*(4*r - 5*r - r) + (-r - 3*r + 3*r)*(3 - 1 - 3 + (4 - 1 - 1)*(0 + 1 - 2) - 2 + 1 + 3).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 10110101010001001 (base 2) in base 13?\nAnswer: 33322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l - 2*d = 13769 + 5103, -12*l - 3*d + 113232 = 0. Calculate the highest common divisor of 28 and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -485 from -1270.\nAnswer: -785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-3 - (-410)\/138)*-3. Which is bigger: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.136*-5.04.\nAnswer: -0.68544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 16913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) be the first derivative of -n**4\/4 - 4*n**3\/3 - n**2 - 3*n - 3. Let z be d(-4). Suppose z*h + 0*h - 20 = 0. Solve -2 - 2 = -h*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 491503845?\nAnswer: 3, 5, 7, 229, 20441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8 + 0 + 5973*c - 6.\nAnswer: 5973*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) be the first derivative of 7*u**2\/2 - u + 3. Let n be o(-2). Let q = n + 26. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + n = 458, -n + 5*n - 8 = 0. Let w be -1 + (-58)\/(-42) + y\/(-399). Factor 2\/3*m**2 - w + 2\/3*m**3 - 2\/3*m.\nAnswer: 2*(m - 1)*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 474824702 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 50 minutes after 1:53 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*d + 1 + 1. Let l(m) = -m - 3. Let q be l(d). Let j = q - -5\/3. Which is the nearest to j? (a) 0.1 (b) -0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -14 (b) -1\/2 (c) -0.331\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f + 360 = -3*j - 1513, j = -3*f - 1406. Let p = f - -476. What is the remainder when 52 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 41*r - 570. Let v be f(14). Solve 5*a + 29 = d, -5*d + v*a + 40 = -0*a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 32\/(-224) + (-1)\/(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one fifths of a kilometer in meters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3 - -7. Suppose 9*d = i*d - 10. Let h be 2\/12*-1*(-3 + 6). Which is greater: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 3046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 17315119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -17836 divided by -8918\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand 11*p + 16*p - p - 20 + 8*p + 20 + 0*p + 2*p - 4*p + (3 - 3 + 1)*(-p + 2 - 2) + 4*p - 2*p - 5*p.\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pr when two letters picked without replacement from ppppppnppppnprr?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 4\/140 + 12\/(-28)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 71, 152, 259, 404, 599?\n\"Answer: 2*h**3 + h**2 + 64*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 19612 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35*w - 33*w = 30. Calculate the lowest common multiple of 108 and w.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) be the second derivative of 3*p**2 + 1\/12*p**4 + 0 + 2\/3*p**3 + p. List the prime factors of y(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -54161\/36108 + -1\/36108. Let p be ((-3)\/(-6))\/(2\/4). What is the nearest to -2 in p, m, 1\/6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -2*b + 6*b**2 + 3*b - 2*b. Suppose -44 = -4*a - 2*p, -4*a - p - 3*p = -36. Calculate the remainder when a is divided by r(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 7500 - 187543\/25. Let h = m - -4\/75. Put h, 1, 2 in decreasing order.\nAnswer: 2, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6918927 + 83678955.\nAnswer: 76760028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l = 7 - 0. Let g = l - 1. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 27415423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*x - 4*h - 2, -5*x - 3*h + 0 = 21. Suppose 4*r = 5*j + 29, 42*j - 46*j = -5*r + 34. Which is the nearest to 0? (a) 5 (b) x (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = 4*i + 12. Let p be (12\/40)\/(i\/(-5)). What is the closest to p in -5, -1\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -a**3 + 6*a**2 + a - 4. Let p = 15 + -9. Let n be m(p). Factor 2*g**3 - 4*g**2 - 2*g + 0*g**n + 4*g.\nAnswer: 2*g*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -41 - -45. Let l(o) = o**3 - 3*o**2 + o + 6. List the prime factors of l(f).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.01 - -0.06. Let q = u - -15.95. Let s = 15.9999968 - q. Round s to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 391 minutes after 6:31 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = 5764238457 - 9181868787. Let r = g - -3417630307.99999947. Let q = r - -22. Round q to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:15 AM and 8:57 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = -4*i + 62, i - 111 = -5*x - 1. Let h = x + -13. Suppose -2*n - 10 = -u - 1, -5*u + 3*n + 66 = 0. Calculate the remainder when u is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -463617*m - 5352. Let n(x) = -1561*x - 18. Give -892*n(g) + 3*v(g).\nAnswer: 1561*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (9*d**2 + 3*d**2 - 3*d**2)*(1 - 5 + 2)*(0 - 4 + 1).\nAnswer: 54*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = v**2 - 180*v - 10 + 176*v + 15. Let x(m) = 2*m**2 + m + 3. Let i be x(-3). Let o = i - 13. What is k(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -11*s**3 - 1 - s + s**2 + 26*s**3 - 16*s**3. Let v be t(-1). Factor -4\/7 - 6\/7*j - 2\/7*j**v.\nAnswer: -2*(j + 1)*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43*o = 47*o - 504. What is the remainder when o is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 625 minutes after 12:33 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -27054000 to the nearest one million.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -6*h + 10. What is m(-5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*l + 3*l - 4*l + 166 - 204.\nAnswer: -l - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 - 5 = 2*m. Suppose z - 19 = -m. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 17, a: 2}. What is prob of picking 2 a?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*o**4 + 4*o**4 + 0*o**4 + 4 - 4 - 16*o**4 + (1 - 4 + 1)*(0*o**4 + 3*o**4 - o**4).\nAnswer: -19*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -958*g + 390 + 951*g - 358. What is l(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -3850*u + 2946. Give s(0).\nAnswer: 2946","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -3*q**2 + 8*q - 13. What is y(4)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -217083169 + 217083169 - 289*i.\nAnswer: -289*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let -4*o**3\/11 + 8942*o**2\/11 + 22386*o\/11 - 13428\/11 = 0. What is o?\nAnswer: -3, 1\/2, 2238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -674 - -7?\nAnswer: -666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y = 30 - 30. What is the nearest to 7\/5 in y, -2\/9, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.3455529 and -5?\nAnswer: 1.7277645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 - ((9 - 8) + -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 4441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qqqzzoooqo. What is prob of sequence zqqz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = 707 - 704. Solve 15 = h*n, 0 = 3*k - 5*n + 26 + 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -664*s**2 + 7*s - 12. Determine r(-1).\nAnswer: -683","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4*-0.138.\nAnswer: -0.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 425*y**2 + 21*y - 5. Let h(b) = 212*b**2 + 9*b - 2. What is -7*h(z) + 3*u(z)?\nAnswer: -209*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 449*w + 465*w = -101*w + 81200 for w.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve k + 8 = r, 42*r - 15 = 6*k + 47*r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 43*a**2 - 206*a - 208. Calculate d(-1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2.68 + -0.32. Let k = 2 + -5\/3. Which is the third biggest value? (a) -1\/3 (b) k (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1480 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 25339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6821?\nAnswer: 19, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 49150 is divided by 50.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = 186.8 + -189.8. Which is the third smallest value? (a) v (b) 9 (c) -54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*g = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 132 - 33020210?\nAnswer: -33020023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 287 a factor of 139677760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -393*z - 6*z - 249*z - 1516 = 18572 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -1*((-147)\/75 + 2)\/(3\/105)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -1\/252 and -41\/1395.\nAnswer: 39060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 4705075 (base 10) in base 12?\nAnswer: 16aaa17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gxpg when four letters picked without replacement from xpgpg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (-2 + -3 + 1 + sqrt(891) + 5)**2.\nAnswer: 18*sqrt(11) + 896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 144*w. Let f(g) = -4 + 8 - 2 - 2*g - 2. What is f(c(t))?\nAnswer: -288*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = i**2 + 6*i + 3. Let d(k) = 7*k + 4. Suppose 2*r - 375 = -369. What is r*d(c) - 4*u(c)?\nAnswer: -4*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 35059.5 (b) -5.4 (c) -1\/4 (d) -2\/9 (e) -5 (f) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 840.5515 hours to milliseconds.\nAnswer: 3025985400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -a - 28. Let d be g(2). Which is greater: d or -146\/5?\nAnswer: -146\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-8)\/12)\/((-11)\/(-33))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 488 minutes before 3:48 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u be 272\/(-51)*-6*(-1)\/(-8). Let o be (-1)\/2 - 9\/(-6). What is the closest to o in 1, -4, u, -5\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in twenty-one quarters of a centimeter?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 249000 a multiple of 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 30 - 3?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.058 and 1.612542202728?\nAnswer: 1.670542202728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -400 (c) -5 (d) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1468735338 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60 = -21*t + 31*t. Let a(y) = -y**2 - 2*y - 2. Let d(c) = 2*c**2 + 6*c + 6. Let z(f) = t*a(f) - 2*d(f). Let m(l) = 98*l. Determine m(z(r)).\nAnswer: 196*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put together -152222600 and -0.1.\nAnswer: -152222600.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*((-5 + 1 + sqrt(192))**2 + 3).\nAnswer: -1055 + 320*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -2*w + 6. Let q be g(0). Suppose -f - 5*n = 3*f - 32, -f = 2*n - 11. Find the second derivative of q*y - 11*y - 25*y**3 - 14*y**f wrt y.\nAnswer: -234*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:08 AM and 11:58 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(24\/126) - (-4)\/(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.014 or 8?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 49959 divided by -1.\nAnswer: -49959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2484)\/(-644))\/((-9)\/27*45\/(-10)).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 5195779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from ffffssuj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -0.749347 to 3 decimal places.\nAnswer: -0.749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -5*a - 19. Let l be x(-4). Calculate the greatest common divisor of 3 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_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: Let w = -54 - -80. Let i = 28 - w. Solve -i*r - 2 = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.57, 1230, -2\/95?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.19 + -0.07. Round f to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 293*g + 156*g**3 + 284 + 2*g**4 + 17 - 156*g**3 + 5*g**4 wrt g.\nAnswer: 28*g**3 + 293","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 41*r + 28*r - 22*r + (-56 + 36 + 26)*(-r + r - r) to the form m + x*r and give x.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = -46 - 26. Let x = u - -72.4. Let o = 2.6 + -2.55. Which is the nearest to 0? (a) o (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -119*w - 1541. Calculate l(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 6.049003 hours?\nAnswer: 21776410800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*l + 40*l + 7 = 0. Let a be 5*(4 - l)*(-21)\/(-35). Solve 3*g + y + 0*y = -a, -7 = g + y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-4 - 23) + 44 + -1 + -1\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 86*d**2 - d - 21. Let p(b) = 3*b - 29. Give u(p(z)).\nAnswer: 774*z**2 - 14967*z + 72334","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 33\/55*(-10)\/8\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*c**5 - 3*c**5 + 9*c - 3*c**5 wrt c?\nAnswer: -160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -80 - -139.8. Let i = 60 - t. Let j = -8 - -8.5. Which is the smallest value? (a) i (b) j (c) 2\/3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: What is -7 times 11.9?\nAnswer: -83.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 562.68977 rounded to zero dps?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:03 PM and 9:38 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: ((-45)\/(-10))\/(((12\/(-6))\/(-2))\/(-2))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 3*f - 14*f + 10*f. Let i(o) = -4*o. Give i(j(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5 in -1, -6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5201 - 5116. Is 67 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.1 or 26\/17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38 = -5*t + 122. Suppose 0 = -n - 4*f - 3 - 5, -5*n = -4*f - t. Solve -3*w = 4*i - 7, n*w + 0*i + 2*i = 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4 or -39403?\nAnswer: -39403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 0 + 3)*(2 + 0 - 1)*(4*u**2 + u**2 - 3*u**2)*(0*u - 2*u**2 + 0*u)*(4 - 1 + 0).\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20814836?\nAnswer: 2, 7, 179, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -x**2 - 7*x - 5. Let o be r(-2). Suppose -3*w + 2288 = o*w. Is 26 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.4 - -0.6. Let w be 10746\/(-72) + (-3)\/4. Let x be 85\/w + 4\/10. Which is the closest to n? (a) -3 (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -583820 rounded to the nearest 1000?\nAnswer: -584000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 13 + (557977\/28 - (-91)\/(-52))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 292400 greater than 293031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 4, i: 1, p: 3, g: 5, q: 3, l: 1}. Give prob of sequence glgg.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 269 or 300?\nAnswer: 269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = 13 - 28. Let z(w) = -4*w. Calculate the remainder when z(l) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -9.48177317 * -2\nAnswer: 18.96354634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = -13\/510 - -2077\/340. Calculate the common denominator of k and 43\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 13 (b) -2\/13 (c) 2 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*y**2 - 19*y**3 - 915*y + 456*y - 11*y**3 + 459*y.\nAnswer: -30*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = -27 - -42. Let k be (6\/(-4))\/((-2)\/(-8)). Let t be 1\/(-1)*(k - -8). Sort 1, t, m.\nAnswer: t, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -151*x - 2252. Let g be c(-15). Sort 4, g, -11, -1, 0.\nAnswer: -11, -1, 0, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cu when two letters picked without replacement from {i: 2, e: 3, c: 2, h: 1, p: 3, u: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 5*p**2 + 2*p + 1. Let a(m) = 0*m + 0*m - m**2 - 5*m + 4*m. Calculate -4*a(b) - f(b).\nAnswer: -b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 3*t**2 + 28*t + 7. What is m(-6)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) be the second derivative of -o**5\/25 - 2*o**4\/15 - 2*o**3\/15 - 39*o. Solve u(g) = 0 for g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 422 a factor of 5662396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1364 + -1988. Let a be (-6)\/(-21) - c\/21. What is the greatest common divisor of a and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 161 and 8840832?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 77762640541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 1, g: 12}. Give prob of sequence gg.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -2*h + 1. Let p(m) be the third derivative of -m**5\/15 + m**4\/3 - m**3 - 4*m**2 + 1. Let r(s) = p(s) - 2*q(s). Solve r(w) = 0 for w.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1316834591.\nAnswer: 83, 15865477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-18*p - 24*p - 16*p)*(4 - 6 + 3 + (1 - 4 + 1)*(1 - 3 + 0) - 2 - 1 + 2).\nAnswer: -232*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 249367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 29 in 3\/7, 0.5, -3\/8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-141 + 27)\/((-4)\/654)?\nAnswer: 3, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + 0 + (-35 + 48 - 6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -165480556, -330961113, -496441670?\nAnswer: -661922227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 43924 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: Solve -345*p + 82*p = 159*p + 1266 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 12 + 2*z - 6 + 7378*z**2 - 7 - 19. Let c be m(-15). What is c rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.15243 in 35, 23, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -1211731 greater than -1211731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 60*j = -316*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 58*a**4*s**3*w - 8*a**2*s**2*w + 11*a*w + s**3 - 2*s**2 - s*w - 5*s wrt a?\nAnswer: 696*a**2*s**3*w - 16*s**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the third derivative of -i**4\/2 + 5*i**3\/3 + 2*i**2 - 149*i. Determine a(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 10116 and 1630008?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -55*t = -50*t - 5*q, -15*q - 12 = -3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 346 - 348.2. Let v = g + 1.9. Which is the closest to 0? (a) v (b) -0.14 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 34, 145, 328, 583, 910, 1309, 1780?\n\"Answer: 36*w**2 + 3*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -1 <= -1\/4652?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 + (-11 - (-462)\/70) + -302*(-7)\/35.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2067 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.9 - 0.5. Let r = -2.95 - -16.65. Let i = 19.7 - r. Sort -4, i, s in increasing order.\nAnswer: -4, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen quarters of a minute in seconds?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (6 - 755*s + 389*s - 2*s**2 + 381*s)*(s**2 + s**2 - 4*s**2) in the form z*s**4 + r*s**2 + a + l*s + u*s**3 and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -1 (b) -1\/9 (c) -50 (d) -0.4 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -ab7a6 (base 15) to base 11\nAnswer: -342601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the third derivative of 7\/24*v**4 - 1\/60*v**5 + 8*v**2 + 0*v - 1\/3*v**3 + 0. What is y(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 39833 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = m**3 - 7*m**2 - m - 1. Let r(w) = 2*w**2 - 20*w + 1. Let j be r(10). Let n be j\/(-3) + 264\/36. Give b(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0 (b) 1 (c) -48829\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 223937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c, 1 y, and 1 s when three letters picked without replacement from issiscixiisiy?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from ayyqayqgkkqyqykyqa.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 538187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = -20 - -20. What is the remainder when 57 is divided by -1 - f - 0 - (-9 - 21)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) be the second derivative of -b**10\/2520 - b**6\/360 + b**3\/2 + 3*b. Let j(r) be the second derivative of g(r). Find the third derivative of j(q) wrt q.\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be -6*(2 - 17\/3). Sort 1, -2, 5, j in decreasing order.\nAnswer: j, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 59838294 is divided by 263.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*h - 7*h + h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) be the second derivative of v**4\/12 - v**3\/3 + 3*v**2\/2 + 82*v. What is i(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) 34 (b) -0.2 (c) 4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-11 - -37) + -15 + 3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -505*a**3 + a**2 + 13313 with respect to a.\nAnswer: -1515*a**2 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = 44*o + 1410. What are the prime factors of s(9)?\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 29186992 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 5*x = -21, 4*l + 2*x - 61 = -x. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -m - m + 1 - 2*m**4 - 3 to the form b*m + a*m**4 + s*m**2 + q + j*m**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) be the third derivative of -9*g**6\/20 + 3*g**5\/5 - 7717*g**4\/24 - 2473*g**2. What is the second derivative of b(m) wrt m?\nAnswer: -324*m + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -4*a**2 - a - 7. Let o(r) = -r**2 - 1. Suppose 5*d - 2 = 4*v - 5, 2*d = -4*v + 10. Determine d*f(k) - 6*o(k).\nAnswer: 2*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0\/(3\/(-1))*((-48)\/(-6))\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -0.07, -13\/37, -0.3 in increasing order.\nAnswer: -13\/37, -0.3, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-2)\/t**(-26)*(t*t**26)**5)**(-13) assuming t is positive.\nAnswer: t**(-2067)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = 562 - 556. Suppose -w = -3*w + 8. What is the third derivative of -w*q + 25*q**6 + 4*q - 30*q**v + 11*q**2 wrt q?\nAnswer: -600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-1))**(3\/7)*(k*k*k**(-2\/9))**(-4\/31)*(k*k*k**(-1)*k*k)**(-19)*k**(-1\/13)\/k**(-7) assuming k is positive.\nAnswer: k**(-1288108\/25389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 2*f**2 + 253*f + 8. Let p(n) = 2*n**2 + 84*n + 3. Let d(c) = 3*o(c) - 8*p(c). Let q(y) = 2*y**2. Give d(q(h)).\nAnswer: -40*h**4 + 174*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 4749*x**2. Let g(z) = -199*z. Determine g(y(f)).\nAnswer: -945051*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 4*b - 2416 = -7*a, 0 = -b. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v, 1 r, and 1 q when three letters picked without replacement from {u: 2, q: 1, v: 1, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -r**2 - 99*r - 560. What is the least common multiple of 65 and b(-39)?\nAnswer: 23140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -4239, -34140, -115341, -273492, -534243, -923244?\n\"Answer: -4275*g**3 + 24*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = y**2 + 8*y - 15. Let d be i(-8). Calculate the common denominator of -27 and (-9)\/(-15) - 311\/d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 92523*h*v**3 + 3579*h*v - 2*v**2 + 2*v wrt v?\nAnswer: 555138*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 412.378846 + -412.5. Let z = c - -0.121. Round z to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**0\/r)**6*r*r\/(r**(1\/3)\/r)*r**(-1\/5) assuming r is positive.\nAnswer: r**(-53\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 231856 is divided by 38641.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 343*c - 731*c + 346*c = 126 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 15*k**2 - k + 2. Let p be y(1). Let z = p - 3. Calculate the remainder when 36 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 1*(-8)\/21*(-133)\/266\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, 13, -238 in decreasing order.\nAnswer: 13, -7, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 588 minutes after 7:22 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -4 divided by -17\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out -75 + 269.\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1368361, 5473478, 12315351, 21893980, 34209365?\nAnswer: 49261506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*k - 2 - 10 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 12 = -0*q. Suppose 47 = -5*t - 8. Let b = t - -21. What is the remainder when b is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10110884 is divided by 183833?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 45245*x + 5456 = 90437*x - 45280*x for x.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 9, x: 1, l: 8, g: 1}. Give prob of picking 1 l, 2 c, and 1 g.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g*(g*g\/g**5)\/g*(g*((g\/(g\/g**(-5)))\/g*g)\/g*g)\/g)\/(g\/(g**(-1)*g))**(-6\/13))**(-22))**(1\/6) assuming g is positive.\nAnswer: g**(1078\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = u - 2. Let j = -534 + 535. Let y(s) = -s - 2 + 0*s - 1 + 2. Determine j*y(t) - g(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w*w*w*w**(3\/13)*w*w**(-4\/5)*w)\/(w**(-1\/3)*w)**(-14\/3) assuming w is positive.\nAnswer: w**(4997\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (-12)\/8*(2\/(-2) - -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*l = 14*l + 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l - 7 = 5*x, -l = 4*x - 3*l + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 58 a factor of 578700093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*(f\/(f*(f*f\/(f*f**6)*f)\/f))\/f*f*f**6)\/(f\/((f*f**1)\/f))**(-44) assuming f is positive.\nAnswer: f**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -7*l**4 - 4*l**3 + 16*l - 11*l**2 + 7*l**4 + 4*l**4 - 5*l**2.\nAnswer: 4*l*(l - 2)*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 2*r**2. Suppose 11*x + 4 = 3*k + 7*x, 5*k = -2*x - 2. Let g(u) be the third derivative of 0*u + 0 + 3*u**2 + k*u**3 - 1\/24*u**4. Determine q(g(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1693 is divided by 988?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:25 AM and 2:27 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(208)\/sqrt(8)*5 - (sqrt(26) + 1*sqrt(2106) + sqrt(2106)))\/((sqrt(48)\/sqrt(6))\/sqrt(4)*-2*-3).\nAnswer: -7*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h - 2*q = -0*q - 844, -4*q + 2538 = 3*h. Calculate the highest common factor of 34 and h.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 32\/(-160)*(448\/48)\/(-14)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (14*c - 26 + 26)*(6 - 5 + 1)*(-14*c + 14 - 14).\nAnswer: -392*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15381*u - 15392*u + 30776*u + 2653*u**3.\nAnswer: 2653*u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 11226 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:18 PM and 6:42 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -65470944, -65470946, -65470948, -65470950, -65470952, -65470954?\nAnswer: -65470956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 286? (a) 5 (b) -6\/11 (c) -0.46 (d) -28 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 38.98973l to millilitres.\nAnswer: 38989.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 - 8 + 7 - 67*p**3 + 4 - 2.\nAnswer: -67*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 2 - 1)*(-5 + 5*j**3 + 5) + (-2 - 3*j**2 + 2)*(0*j - 5*j + 2*j) to the form w*j**2 + a + q*j + c*j**3 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/7)\/(5\/105)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -109*n = -147*n + 380. Solve n*l = -16 - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 20 and 56\/(-5)*30\/(-12).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5\/2923 + -154949\/17538. What is the common denominator of 0 + 104\/(-42) - -2 and v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*y - 2 - 3*y + 4*y + (4*y + 0*y - 6*y)*(3 - 2 + 0).\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -8 or 135\/8?\nAnswer: 135\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 3*g + 35 = g, 2*g = 0. What is the remainder when 278 is divided by n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-5)\/((-45)\/207))\/5 + (-4)\/(-10). Let o(u) = 11*u**2 + 17*u + 7. Let y(b) = -5*b**2 - 8*b - 3. Let j(f) = 6*o(f) + 13*y(f). Determine j(z).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.04289 + -0.40323. Let p = -0.36 - q. What is p rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 28 + 24 = 13*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:29 PM and 12:50 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 5*w**2. Let x(u) = -6*u. Let z(s) = s. Let g(f) = x(f) + 5*z(f). Calculate i(g(j)).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -125\/6 greater than or equal to -17\/360?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 14) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Do -333996 and -333998 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2101006279 to the nearest integer?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = -9 + 13. Let t be (48\/112*14 + (3 - 13))\/(-1*2). Solve t*p + 4 = q*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -292 - -672. Let b be 1\/3 + g\/(-150). Let u = 7\/5 + b. Is u < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 10*h - 36. Let u be j(4). What is the second biggest value in u, 0.018, 4\/5, 3\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) be the third derivative of k**2 + 0 + 0*k + 1\/120*k**6 - 1\/30*k**5 + 0*k**3 - 1\/8*k**4. Calculate b(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m = 0, 3*m + 56 = -5*n - 104. Let d = n + 34. What is the tens digit of d\/2*-33*(-9 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 547504, -18, -3\/2?\nAnswer: 547504","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.394 and -4.1.\nAnswer: 1.6154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.09 + -0.09456. What is b rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 414 + -358. Is 55 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -44\/207 and 3\/46?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + ((-2*sqrt(152) + sqrt(152) - sqrt(152))\/sqrt(8) - -1*sqrt(475) - -2*((sqrt(19) - (sqrt(19) + -1 + 0)) + -5)**2).\nAnswer: 3*sqrt(19) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 42*z + 38*z + 42*z**3 - 40*z**3 - 80*z + 99*z**2.\nAnswer: 2*z**3 + 99*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -7*c**4 + 6*c**3 - 3*c**2 - 8*c?\nAnswer: -168*c + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -3*n**2 + 173*n - 115. Let a be i(57). Let h(l) be the first derivative of 2*l**2 - 2. Determine h(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 1, o: 5, l: 1, y: 3, c: 3}. Give prob of sequence ooc.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -3*z**3 + z**2 - 1. Let c be v(-1). Let a(h) = h**2 - 6*h + 5. Let r be a(c). Let g(i) = 3*i + 1. Give g(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3 + 3 - 1)*(3 - 3 - 2) + 3 + 1 + 3)*(-5*a + 2 - 2)*(2*a**2 + a**2 - a**2).\nAnswer: -90*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 17 = -3*q, 6*u - 4*u + 16 = -4*q. Let b = 54 - 52. Suppose -b*m + 3*x = u*m - 7625, 2*m = -5*x + 3845. Round m to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -20, 2, -7, -4 in descending order.\nAnswer: 2, 0, -4, -7, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1515*m**5 - 117*m + 0 - 4 + 187*m + 261*m + 6 wrt m?\nAnswer: -30300*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z**2 + 5129*z - 459096 = 0. Calculate z.\nAnswer: -5217, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = -18 - -22. Find v such that -16*v**4 + 3*v**5 + 0*v + 0*v + 13*v**d = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -67*n**3*p + 871*n**3 + 5912*n*p - 16*p wrt n?\nAnswer: -402*n*p + 5226*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 38, 59, 78, 95, 110, 123?\n\"Answer: -j**2 + 24*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 20376 and 4655067.\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1164c4 + -5?\nAnswer: 1164bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) be the first derivative of l**3\/3 - 1. Let d(s) be the first derivative of -3*s**2\/2 - 37. Determine p(d(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 238196123 is divided by 1926.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 - (-3 - (-24)\/(-20)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 4 + 0)*(-2*a**2 - 5*a**2 + 2*a**2)*(7*a - 7*a + 7*a).\nAnswer: -70*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 765 (base 11) in base 8?\nAnswer: 1626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 3\/7, -13, -3, -0.142, -1 in increasing order.\nAnswer: -13, -3, -2, -1, -0.142, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide 18342 by -6.\nAnswer: -3057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Total of 569.6211 and -566728.\nAnswer: -566158.3789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 70239915 divided by 45?\nAnswer: 1560887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3504 + 3594*z**2 + 12*z - 10*z + 3504.\nAnswer: 3594*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.4 - 0.7. Let m = -2455 - -2457. Which is the fourth smallest value? (a) 0.4 (b) -1 (c) q (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2077 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -2*y**3 - 25*y**2 + 75*y - 5. Let j(m) = m**3 - m**2 + 1. Let c(b) = -5*j(b) - w(b). Factor c(t).\nAnswer: -3*t*(t - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-4 + 2*h**2 + 5 + 1)*(-1331 + 1331 - 125*h) in the form c*h**2 + w*h**3 + s + v*h and give w.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4239315190 to the nearest integer?\nAnswer: 1618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 170 minutes before 6:20 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 1.589843ml?\nAnswer: 0.001589843","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Convert 1122432111 (base 5) to base 8.\nAnswer: 11554362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 2 l when three letters picked without replacement from {h: 1, p: 2, y: 1, x: 1, l: 1, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:01 PM and 10:26 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = -764965961\/5461 + 140078. Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60 = 60*a - 60. What is the nearest to 1 in a, -0.1, -1\/9, -2\/37?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-53 - (6 - (-1 - 1))) + 36 + -41.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = g**3 + 40*g**2 + 233*g + 68. What is p(-33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/24*10*120\/300?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = 3 - 1. Let n = -194 - -199. Sort 2, n, f, 4 in decreasing order.\nAnswer: n, 4, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.2, -4, -84\/31?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 4*t + 52 = 0, -33*t + 54 = -27*t. Let x(j) = 2*j**2 - 5*j - 89. What is x(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -209*d + 204*d = -245. Sort 5, 4, d.\nAnswer: 4, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 122, 121, 120, 119?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 50295 and 374099?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 55\/11109 and -143\/2070?\nAnswer: 333270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d = -5*k + 139 + 11, -21 = -k - 4*d. Suppose 0 = -3*b - b - 5*p + k, 5*b - 2*p = 0. Solve b - 6 = 4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 646483 and 469.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1042*l**3*q - 1197*l**3 with respect to q.\nAnswer: 1042*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5 + 5. Let c(k) = -k + 5. Let n be c(4). Let m = n + g. Calculate the lowest common multiple of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -2*d**2 + 35*d - 31. Determine n(16).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -32963, -131846, -296651, -527378, -824027, -1186598?\n\"Answer: -32961*c**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -120 + 5?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from mrrsrswwsrrrwrrsrs.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = 23 - 14. Suppose -2*k = 2*w - 4, -k - 6 = i*w - 4*w. Sort -4, w, 2 in ascending order.\nAnswer: -4, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*-2*sqrt(72)\/sqrt(4))\/((sqrt(9) + sqrt(99)\/(sqrt(22)\/sqrt(2)))*3).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.720475 - -0.72. Round x to 5 decimal places.\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000021509681 to 6 decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4 + 7. What is the remainder when 7 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -71*m**2 - 70*m**2 - 91*m**2 - 48*m**2 + 367*m**2 - 50*m**2.\nAnswer: 37*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lz when two letters picked without replacement from ojpjzlxpozpjxllzo?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*a - 195 = -159. Let b(o) = -1 + 0*o**2 - o**2 + 4*o + 0*o**2. What is b(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1228 - 1224. Solve z = 11*h + 15 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 11 or 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 5*c - 12 = 0. Let k = 37\/6 - 221\/30. Put k, c, -2\/13, 2\/13 in decreasing order.\nAnswer: 2\/13, -2\/13, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 130411127?\nAnswer: 7, 11, 23, 73637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -y**2 + 5*y - 4. Determine z(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1432400 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3.245 + 0.055. Let x = s - 0.3. Let l = x + -2.5. Which is the second biggest value? (a) l (b) -2\/11 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(180)\/sqrt(4)*1)\/(4*sqrt(9)*1))**2*4.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l be 7\/(-14) - (-7)\/2. Let h(k) = k**3 - 4*k**2 + 3*k. Let n be h(l). Suppose d - 2*j - 849 = 44, n = 2*d - 3*j - 1787. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (18\/1593)\/(-2)*3\/(-6). Is q bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1704 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: Factor c**3\/6 - 8*c**2\/3 - c\/6 + 8\/3.\nAnswer: (c - 16)*(c - 1)*(c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = d**3. Let b(o) = o**2 - 3*o + 1. Let c be b(3). Let t be 6\/(-24) - 9\/(-4). Let n(k) = -3*k**3 + k**2. Determine c*n(w) + t*s(w).\nAnswer: -w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*sqrt(15)\/(sqrt(3) + (sqrt(3) - ((3*sqrt(108) - sqrt(108) - sqrt(108)) + sqrt(108)))).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 3*y**2 - 4*y + 8. Let z(n) = -n - 1. Calculate a(o) - 3*z(o).\nAnswer: 3*o**2 - o + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 313411*g - 2716 = 313314*g for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -1.18748 rounded to two dps?\nAnswer: -1.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 + 7 = -4*w. Let s(b) be the second derivative of b**5\/20 - b**3\/6 - b**2 + 7*b - 5. Determine s(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 3*n = 28, 0*n - n - 4 = 0. Let k be 58\/3 + i\/12. Find the first derivative of 7*l + 1 + k*l - 9*l wrt l.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 63 - 63.05. Let g = z + 9.05. Let h = 0.1 - 0.4. Put h, 0, 1, g in ascending order.\nAnswer: h, 0, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 441 and 1197.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = -71 + 55. Suppose -3*h + l = t, t = -0 - 5. Solve 3*n = h*n - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 42*m - 215122 - 48260. What is the thousands digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -378182251 to the nearest ten thousand.\nAnswer: -378180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 1810508585 to the power of 1\/3, to the nearest integer?\nAnswer: 1219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -17544 divided by -1462?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -6 (base 16) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 15\/328 and -167\/1230.\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-35523)\/146039)\/((-2)\/37).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -36*x - 256. What is q(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 + -13028?\nAnswer: -13028.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(sqrt(42)\/(sqrt(14)\/sqrt(2)))\/(-1*sqrt(75)).\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/5? (a) 4 (b) 2 (c) -0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-2 - (-36)\/8)*2. Calculate the highest common factor of b and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 487 - 456. Suppose -15900 = -v*n + 6*n. List the prime factors of n.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(18) + sqrt(36)\/sqrt(2))*1 + sqrt(18))\/((sqrt(135)\/sqrt(3))\/sqrt(5)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 + 9*d**2 + 2*d - 8*d**2 - 14 + 1255*d**3 - 4210*d**3.\nAnswer: -2955*d**3 + d**2 + 2*d - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = -372\/37 + 69083\/6919. What is the common denominator of 49\/969 and k?\nAnswer: 10659","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a kilometer in millimeters?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -3 - n + 3 - 2*n - n + n + (-1 - 2 + 4)*(-33*n + 6*n + 14*n) - 2*n + 0*n + 4*n + 136*n - 243*n + 127*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Total of -3 and -754286801.\nAnswer: -754286804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = -894 + 27736\/31. Let t = 413\/248 + d. What is the common denominator of 159\/(-24) + 0 + 2 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 69, -2.345, 0.2, -287?\nAnswer: -2.345","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) be the third derivative of z**6\/1440 + 7*z**5\/480 + z**4\/16 + 11*z**3\/3 + 143*z**2. Let x(t) be the first derivative of b(t). Factor x(p).\nAnswer: (p + 1)*(p + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = g**3 - 3*g**2 - 378*g - 8. Let x be o(-18). Let v(z) = -18*z - 161. Determine v(x).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6*v + 0*v + 0*v - v**2 + 8*v**2 to x*v + m*v**2 + t and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.598 + 1.012. Let i = 1.81 - p. What is the closest to -0.1 in 0.04, 2, 3, i?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-7)\/((-28)\/3))\/3)\/((-423)\/(-3384))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -i. Let r(t) = -t**2 - 10*t - 3. Let m(j) = -2*h(j) + r(j). Let f be m(-8). Is f smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = j**2 - 5*j + 4. Let r be o(5). Solve 0*b = -b + r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*j**2 - 74*j**3 - 5*j**2 - 2*j + 72*j**3 to r*j**2 + d*j + v + o*j**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -3107*u + 3091*u + 144 = 0 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1548744 and 452892.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 846\/(-470)*10\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -w**4 + w**4 - 3*w**5 + 7*w + 19*w**5 wrt w.\nAnswer: 320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -399*q - 150*q = -1647 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x**2 + 5*x - 7. Let v = 31 - 34. Let c be (v*(-5)\/30)\/(2\/72). Suppose 2*t - 22 = 5*n, t = -n - 2*t - c. Calculate p(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3411211*r**2 - 2381096*r wrt r.\nAnswer: 6822422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -68325176 divided by -5.\nAnswer: 68325176\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1639943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.556 - -0.124. Is -1\/2 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.06 + -0.06. Let h = -1.8 - -2.2. What is the smallest value in h, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 748 and 8.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 260840182 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 6241 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 33*n**2. Let u(h) = 121*h**2 - 273*h**2 + 140*h**2. Give c(u(s)).\nAnswer: 4752*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(-1\/3))**6\/(f\/(f\/(f**(3\/2)*f))*f*f\/(f**(-19)*f*f)))**41 assuming f is positive.\nAnswer: f**(-1927\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -797b + 23?\nAnswer: -7958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = -30151 + 42805. Is 114 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -3*o + 42. Suppose -5*q = a + 4*a - 260, -5*q + 5*a = -260. What is the highest common factor of o and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) be the third derivative of 17\/12*a**4 - 3\/20*a**6 + 0*a + 0*a**3 + 0*a**5 + 0 + 12*a**2. What is the second derivative of z(i) wrt i?\nAnswer: -108*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5*(-2)\/36)\/((-355)\/(-568)*1*-4).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39*v**4\/4 - 135*v**3 - 369*v**2 + 60*v = 0. Calculate v.\nAnswer: -10, -4, 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 374140067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -15 - 32661?\nAnswer: -32676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 54887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-2))**(-23)\/(q**(-3\/5)*q**(-2\/9)) assuming q is positive.\nAnswer: q**(2107\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4123471 rounded to four decimal places?\nAnswer: 0.4123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -3.18446 to 1 decimal place.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -7 + 6. Is (23 + w)*(-58)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ussuvvvutbuuusuusu. What is prob of sequence tu?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 34545, 138234, 311115, 553242, 864669?\nAnswer: 1245450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 428835 = 3950*c - 3907*c - 250092. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9214334?\nAnswer: 2, 4607167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q = -13 - -20. Let o(d) = -d + 10. Let l be o(q). Let u be -5 + l + 5 + 0. Solve 9 = u*f - 6*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -24645 (base 10) in base 16?\nAnswer: -6045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = -8 + 11. Let u = -3 + v. Which is the closest to 0.1? (a) 3 (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 7138.487 millilitres to litres.\nAnswer: 7.138487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1 - 0.5. Which is the fourth smallest value? (a) -5 (b) -3 (c) -2 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -23555*d - 21 = 3*z - 23553*d, 4*z = 2*d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 2343.5539 + 1.371?\nAnswer: 2344.9249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00030203 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from amamtmammwmaaammmt. Give prob of picking 1 t and 1 m.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*h + 0*h - 5*h)*(2*h + 6*h - 5*h + (-2 - 1 + 5)*(0*h + 2*h + 0*h) - h + h - h).\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express ((9 + 0 + 4)*(-1 + 4 - 1) - 1 - 2 + 1)*(m + 5*m - 5*m) as v*m + x and give v.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33 = -3*z - 4*c, -3*z - 5*c - 14 - 22 = 0. Let g = z - -10. Solve 3*x + 9 = 4*o + 2*x, 4*o - 5 = -g*x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1094 + 479 = 121*g. Solve g*o + 20 = 3*i + 15*o, -4*o - 4 = -5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) be the third derivative of b**4\/24 + b**3\/2 + b**2. Let h = 487 + -486. Let n be r(h). Solve d + 9 = v, -2*v + 3*v = n*d + 24 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {o: 2, f: 8}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 2*f + f = 25, -s + 3 = 5*f. Suppose -k + s = k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -c + 58. Let r be m(0). Suppose -31 = -f - 5*y, -3 = 5*f + 5*y - r. Let t = f - 3. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8591 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -28022, -24267, -20512, -16757?\n\"Answer: 3755*r - 31777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -2.12 + 0.008.\nAnswer: -2.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 12 - 10 - (-934)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*c - 9, 5*h - 3 = c + 10. Let d = h + 37. Suppose -109 = -5*k - d. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31*w + 10491 = -26671 - 214434. List the prime factors of w.\nAnswer: 2, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + 0 + (5 + (-11 - -3) - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 18 divided by 1\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w = -m - 8, -2*m - 5*w - 2 = -11. Let n(b) = -27*b - 85. What is the remainder when n(-5) is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) be the third derivative of -n**5\/60 - n**4\/24 - n**3\/6 + 3*n**2. Let t = 1 - -3. Let u(v) = -v**2 + 0 - 4 - 2*v + 2. Calculate t*k(b) - 2*u(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = -b + 2. Let g be (84\/91)\/6 - (-16)\/(-104). Solve -3*j - b + 4 = g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-36)\/168*7\/((-21)\/(-4))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = j**2 - 7*j + 1. Let f be u(6). Let n be 16*(-4)\/30 + (7 - 5). Which is the closest to 1? (a) f (b) n (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 72 + -69. Suppose 5*v - 3*b = 15, a*v - 3*b - 12 = -v. Calculate the lowest common multiple of 9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 12000 and 768.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1064770 is divided by 9952?\nAnswer: 9858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - 13 = -22. Suppose 37 + z = 5*q. Calculate the smallest common multiple of 2 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 6273 - 6270. Solve -b*t = 5*j + 22, 4 = -3*t + 5*j + 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) be the first derivative of -g**6\/90 + g**5\/15 + g**4\/2 + 4*g**3 - 13. Let q(d) be the third derivative of h(d). Determine l, given that q(l) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 20 (b) -5\/4 (c) 82 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2923121\/5 or -584624?\nAnswer: -584624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) be the third derivative of h**8\/1680 - 2*h**7\/525 + h**6\/120 - h**5\/150 + 4*h**2. Factor s(z).\nAnswer: z**2*(z - 2)*(z - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 30914 is divided by 329?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o + 3*p + 2 = 0, 0*o + 5*o + 5 = 3*p. Let j = -3 + 4.1. Let y = j + -0.6. Sort -0.2, o, y in descending order.\nAnswer: y, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*h - 3*h - h)*(-1 + 1 - 2) + 9*h - 12 + 12 + 0*h + 0*h + 2*h.\nAnswer: 15*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 217 divide 9397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) be the third derivative of -z**7\/840 + z**6\/30 + z**5\/120 - z**4\/6 - 7*z**3\/6 - 28*z**2 - 2*z. Let a(u) be the first derivative of f(u). Give a(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1709508*r - 3667915.\nAnswer: -1709508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -270 + 6*x**2 - 7*x**2 - 4*x + 269. Calculate w(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -51\/8 and -127\/13896.\nAnswer: 13896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8*(-1)\/(-56)*-4*(-1278)\/568.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -200427.9 (b) 0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*l = 2*l - j + 28, -16 = 4*j. Suppose -4*z = -2*p - 12, -z + 2 = p - 4. What is the highest common factor of l and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -52794\/11 or -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ngyn when four letters picked without replacement from {y: 3, n: 4, g: 1}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -56933 (base 13) in base 14?\nAnswer: -415b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/(m*m**(1\/7)*m)*m*m**(2\/13))**(-2\/13) assuming m is positive.\nAnswer: m**(-2\/1183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand ((y - 3*y + y)*((4 - 2 + 4)*(0 - 4 + 1) + 3 + 1 - 2 + 4 + 3 - 5) + 0*y - 2*y + 5*y)*(-4*y**2 + 4*y**2 - y**2).\nAnswer: -17*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -m**2. Let w(c) = 1772*c - 2 - 1772*c + 4*c**2. What is w(v(s))?\nAnswer: 4*s**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -2*k**2. Let f(x) = -23*x + 3. What is f(n(r))?\nAnswer: 46*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = -3*m + 25, 5*z = -m + 2*m - 3. Suppose -m*q + 4*p + 11699984 = -5*q, 0 = -4*p + 16. What is q rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-2))**(-3\/8) assuming v is positive.\nAnswer: v**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -229*f**2 - 116*f + 241. Calculate y(2).\nAnswer: -907","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -j**3\/7 - j**2\/7 + 4*j\/7 + 4\/7 = 0 for j.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -17*l**3 + 2*l - 4. Let m(o) = -34*o**3 + 4*o - 9. Calculate -13*h(c) + 6*m(c).\nAnswer: 17*c**3 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -37, 35, 73, -5, 2, 3 in descending order.\nAnswer: 73, 35, 3, 2, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 225215*y**4 + 3*y**3 - 3736703*y.\nAnswer: 2702580*y**2 + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 79*w + 1668 - 8857. Do w and 1081\/12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/51? (a) 2\/15 (b) 0.3 (c) -5.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 10 + -15 - 44\/858*772\/(-8)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -23010 (base 7) to base 4.\nAnswer: -1123032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 530 minutes after 10:30 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 693.7338 milliseconds in microseconds?\nAnswer: 693733.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1316? (a) 2\/19 (b) -92\/87 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 3520 (base 7) to base 2.\nAnswer: 10100001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 1143 = -216*o + 9*o - 1128 + 615 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 28 + 4 + (-23 - -16 - (3 - 15)) - 6?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -10\/17, -2\/89, -697\/16 in descending order.\nAnswer: -2\/89, -10\/17, -697\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:00 PM and 3:17 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -q + 3. Let s be j(4). Let i be (-172001 - s)*(2 + 48). Round i to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = z + 11. Let i be w(-9). What is the tens digit of -1 + 1 + i + 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6*q - q - 6*q + q to the form i*q + h and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4 + 8 + 5 - -6) + -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 1, j: 1, e: 1, n: 1, l: 5}. Give prob of picking 1 l, 1 e, and 1 n.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s - 1701*w + 1697*w + 240 = 0, 5*s = -5*w + 615. What is the remainder when s is divided by 13 + 1*(-2 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -596 + 596. What is the closest to 0.05 in -5, 2\/9, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 442 + 152. What is the highest common factor of 495 and c?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -q**3 - 10*q**2. Let m be w(-10). Solve -5 = -h - m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 4*z - 14. Let y be j(-7). Let p = -38 - y. Solve 12 = -x + p*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 914260 - 914260 - 1321*j - 1318*j - 1322*j + 3951*j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -28*g + 1. Let f be y(-9). Suppose 47 + f = w. Let u be w\/(-1)*(-17800)\/(-6). What is u rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -9 - -3. Suppose 0 = -r - 2*r - 9, -2*r - 4 = u. What is the remainder when 56 is divided by 3*(u + (-46)\/s)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = x**2 - x + 2. Suppose 2*p = 2 + 2. Let k be r(p). Suppose 2*u + 2*u - 10 = -5*m, u + k*m = 8. Solve u = 2*s - 3*s + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 42895\/6216 - 957\/148. Calculate the common denominator of p and 3\/938.\nAnswer: 11256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 206582081 divided by -5?\nAnswer: -206582081\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = 21.8 + -3.8. Let a = 17.99999981 - c. Round a to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 819179603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 147605975.\nAnswer: 5, 11, 536749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.993603cm to nanometers.\nAnswer: 59936030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 505 minutes after 8:53 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -346.37596 rounded to the nearest ten?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert -50043611 (base 7) to base 5.\nAnswer: -2024104100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -61 (base 10) to base 5\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*l, r = 2*l - 4*l - 64. Let z = -30 - r. Let g = z + -19. Calculate the remainder when 29 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((4 + -4)\/2)\/1. Let x(w) be the second derivative of -1\/12*w**4 - 1\/10*w**6 + 0*w**3 - 1\/42*w**7 + w - 3\/20*w**5 + 0*w**2 + t. What is l in x(l) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -3*l**2 + 50*l + 10. Let a be c(17). Let x(v) = v**3 + 6*v**2 - 5*v + 10. Determine x(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -6652*(1 - (-708)\/(-16)). Let t = r - 156176. Let j = -28523 + t. Round j to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 7*a + 219. Let s(d) = -3*d - 110. Determine 5*s(t) + 2*z(t).\nAnswer: -t - 112","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 90 divided by -230\nAnswer: -9\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -116 divided by 10806\nAnswer: -58\/5403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.11 in 2\/73, -2, 3?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 258618 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q + 3*x + 21 = 0, -940*q + 911*q + 259 = -x for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 41206824 is divided by 108439.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 0.02, -5\/42, -32 in ascending order.\nAnswer: -32, -5\/42, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 400 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 174 and 290?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 92 divide 15548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -3 times -1.39?\nAnswer: 4.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/2, 5\/4, 70, 5 in decreasing order.\nAnswer: 70, 5, 3\/2, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 141 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: List the prime factors of 1711660.\nAnswer: 2, 5, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -113*c - 3390. Let q be t(-30). Put q, -237, -4, -7 in descending order.\nAnswer: q, -4, -7, -237","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 5, 1, 1\/4560?\nAnswer: 1\/4560","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = -55865\/17343 - 2\/1927. What is the common denominator of 3 + -2 + 132\/40 and t?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5\/2*v**3 + 397615\/2*v + 2815\/2*v**2 + 394805\/2.\nAnswer: 5*(v + 1)*(v + 281)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -g**3 + g**2 - 3*g - 5. Let o be s(-2). Let b = o + -6. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5 + 7. Suppose k - 4*f = 17, -32 = 2*k + q*k + 4*f. Is k*((-220)\/12 - 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2, -4, -125610?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) be the first derivative of 11*n**5\/60 + 8*n**2 - 65. Let k(d) be the second derivative of t(d). Let w(m) = -8*m. Give k(w(z)).\nAnswer: 704*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 132*h - 45*h - 34*h + 97*h.\nAnswer: 150*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4809 and 102363.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 7051 - 7045. Solve 4*r + g*m - 4*m = -4, -4*r - 24 = -3*m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + (3 - -4) - ((36 - 4) + 16)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 121470369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 14903403, 14903452, 14903501?\n\"Answer: 49*g + 14903354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*v + 3*c - 1, 8*v - 4*c = 9*v - 27. Let d(m) = -4*m**3 - 9*m + v*m**3 + 972 - 977. Let k(i) = -i**3 + 5*i + 3. Give -3*d(o) - 5*k(o).\nAnswer: -4*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -4924, -9856, -14788?\n\"Answer: -4932*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 15444 and 814099.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6*(10\/(-5))\/(422\/(-2743)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -47, -1066, 3, -1, 4 in decreasing order.\nAnswer: 4, 3, -1, -2, -47, -1066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 163390, 163371, 163352, 163333?\n\"Answer: -19*i + 163409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -r - 1. Let f(s) = s**2 - 15*s + 15. Let u be f(14). Let x(t) = -t - 1. Give u*l(h) + x(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find b, given that -4*b**2 - 68888*b - 275488 = 0.\nAnswer: -17218, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 63655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-81)\/(-1 - (-1)\/(-2)). Suppose 5*h = 3*h + t. Solve z = -5*p + 2*z - h, 4*z - 13 = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-2085)\/(-21) + 2 - (-6)\/(-21)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i and 1 p when three letters picked without replacement from pufgufffliffgfiiiipp?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert -20210022210 (base 3) to base 14.\nAnswer: -369c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -10*t**3*u**2 + 383*t**3 + 4*t*u wrt u.\nAnswer: -20*t**3*u + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -k**2 - 5*k + 3. Let h(q) = -q**2 + 8*q - 4. Let l be h(7). Let p be (2 + l)\/((-2)\/2). Calculate n(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.12528 - -14.65488. Let a = s - 0.1146. Let r = a + -0.015. What is r rounded to 0 dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/3 (b) -2802\/17 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 793764 and 612.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 692*s**2*v**4 - 1507*s**2*v**3 - 2*s**2*v - 23*s**2 + v + 6917 wrt v.\nAnswer: 8304*s**2*v**2 - 9042*s**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = h**3 - 23*h**2 + 40*h + 45. Let a be u(21). Let m(o) be the first derivative of -7\/6*o**a + o + 5\/4*o**2 - 3. Factor m(p).\nAnswer: -(p - 1)*(7*p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -3*s + 5. Suppose 5*i - 90 = -2*n, -s*n + i - 6*i = -190. Suppose 0 = -5*y + 3*r + n, -y - 40 = -5*y + r. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5218 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2564 - 1984. What is the greatest common divisor of i and 6815?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 32\/14 - (-10)\/(-35). Suppose -b*n = -4*n + 30. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2888822 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7 - (5 + -6) - (10 + -15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-15*l + 37*l - 387 - 20*l)*(1 - 4 + 2)*(3 + 1 - 2)*(l - 3*l + 4*l) to w + o*l + u*l**2 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 41401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express 1304*i - 651*i - 160*i**2 - 3 - 1 + 2 - 651*i in the form g*i + k*i**2 + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (-50*29\/5800)\/((-1)\/(-8))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0086299542 rounded to six dps?\nAnswer: -0.00863","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -39, 0.1, 13, 3\/2, 4344, 0.4 in descending order.\nAnswer: 4344, 13, 3\/2, 0.4, 0.1, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 14840 > 1498980\/101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = t**2 - t - 3. What is the units digit of s(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -100 - -10101?\nAnswer: 10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-12)\/(-10))\/(-8 + (-205)\/(-25)). Suppose -z*n + 16*n - 90 = 0. Solve 5*i = 2*i - n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*r + 10 = 19*t, 2*r - 256*t = -255*t - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) be the first derivative of -d**4\/2 + 5*d**3\/3 - 3*d**2 + 6*d - 769. Let c = 4 + -1. Let v be u(c). What is v rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1743\/4370 - 1\/874. What is the closest to 1 in k, 1\/2, 1, -3\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -56a79 - 2438?\nAnswer: -592b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 71*p**2 + 14*p - 14. What is the hundreds digit of l(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-6)\/3 - 11\/1. Let a = 19 + c. Suppose a + 184 = 5*q. Is q a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1078006.\nAnswer: 2, 539003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 635242323 and 193.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -27763, -55523, -83283, -111043, -138803, -166563?\nAnswer: -194323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 58 - 57.8. Let d = 4 + -5. What is the smallest value in d, -5, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/4401? (a) 3 (b) -1\/13 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 279 minutes before 6:46 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -8*s - 244*s**3 - 5*s + 226*s**3 wrt s?\nAnswer: -108*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -s**4 - 4663194*s**2 - s - 40522204 wrt s.\nAnswer: -4*s**3 - 9326388*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -v**3 + 10. Suppose 0 = 4*z - 5*l - 27, -2*z + l = 3*l. Suppose 9 = z*y - 0*y. What is the remainder when c(0) is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*p + 4095*m + 19 = 4093*m, 0 = 4*p + 7*m + 53 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -p**3 - 4*p**2 + 2. Let z be (-36)\/(-63)*(7 - 0). Let q(s) = -s**3 + 4*s**2 - s. Let w be q(z). Give m(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = 38*q - 3912. Let w be s(103). Solve -5*d + w*h - 46 = -28, d + 3*h - 10 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -422707411 - 2?\nAnswer: -422707413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 55*x**3 - 10*x**3 + 35*x**3 + 119*x**3 + 50*x**3.\nAnswer: 249*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find d such that d**5\/4 - 3189*d**4\/4 + 91505*d**3 - 529916*d**2 + 1047096*d - 693820 = 0.\nAnswer: 2, 113, 3070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1702662 + 1702772.0053. Let c = 110 - z. Round c to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1713 + -3137. Let d = b + 2049. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 40015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*g**3 + 3*g**3 + 74*g**3.\nAnswer: 84*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 12 + 10 = 0. Suppose -2 = 9*y - j*y. Solve -5*d + 15 = -5*h, 7*d + y = -3*h + 2*d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1446597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = 13 + -8. Suppose o*x = 24 - 4. Let r(y) = -y + 1. Let k(l) = 6. Let m(t) = k(t) + r(t). Give m(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -73\/1300 and 44\/71825.\nAnswer: 287300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 34*b - 75*b + 77*b.\nAnswer: 36*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = 299 - 193. Suppose -h = -2*m - 4*n, -2*m - 7*n = -2*n - 107. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -3*f - 1. Let q be x(-1). Let w be ((-64)\/10)\/q - -3. Let y = 2 + -1. Which is the closest to y? (a) 1\/5 (b) w (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -10, -2, -4, -50, 1 in decreasing order.\nAnswer: 4, 1, -2, -4, -10, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8, 98, 192, 290, 392, 498, 608?\nAnswer: 722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Are -195 and -194 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Multiply -235949 and -0.4.\nAnswer: 94379.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4385, -8772, -13159, -17546, -21933, -26320?\nAnswer: -30707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2926947?\nAnswer: 3, 975649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 45?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 3*q**2. Let v(i) = -24*i + 38*i - 14*i + 31*i**2. What is y(v(k))?\nAnswer: 2883*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sum 16715124363 and -0.05.\nAnswer: 16715124362.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1294, 1311, 1340, 1381?\nAnswer: 1434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-4))**(-35) assuming x is positive.\nAnswer: x**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g be 16003 - -4*6\/(-8). Let x be (g\/6)\/(4\/9900). Round x to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 114098948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 30 - -3057?\nAnswer: 3087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 98 = 8*x - 3*x - 18*m, 4*x - 15*m - 8 = 74 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:06 AM and 3:10 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*r - 22*r + 4*y = 96738, 2*r - 4*y = 96746. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5.3 + -3.5. Let q = -329.9 - -330. Which is greater: h or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 51983*g - 12. Is q(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = 18*z + 15. Let a be d(11). Suppose -a = 6*m - 9*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kwwwb. Give prob of sequence wb.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -2+11218490195604\nAnswer: 11218490195602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*q**2 - q**3 + 13*q**2 - 24*q**2.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -56*d + 245 + 116 = -255 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3\/19? (a) 1261 (b) -3 (c) 1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) be the first derivative of -33 - 1\/4*w**4 + 8\/3*w**3 + 0*w + 11*w**2. Calculate the remainder when 32 is divided by x(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(-5*(sqrt(209)*-6*-2 - sqrt(209))\/((sqrt(11) - sqrt(539))*6))**2.\nAnswer: -287375\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -o**2 + 8*o - 6. Let d be q(6). Suppose -5*x - 4 = d. Let t be x\/5 - (-36)\/15. Solve -v = 4 - t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 3 - 8994?\nAnswer: -8991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = 46.58 + -47. Let q = k + -0.08. Let i be (3\/14)\/(1\/(-2)). Which is the second biggest value? (a) i (b) q (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 315 (b) 0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4975 - 4645. What is the remainder when m is divided by 77?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 - 3 - w)*(-6*w + 95 + 6*w + w) to the form n*w + f + m*w**2 and give n.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -119*d + 8. Let n(k) = -79*k + 5. Let i(c) = 8*n(c) - 5*q(c). Let v(l) = l. Calculate i(v(m)).\nAnswer: -37*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 1810149484 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 4 = 5*b, -21*g + 17*g = -2*b - 14. Suppose 6*m = 4*m + 14. Calculate the lowest common multiple of g and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 5, -27, -79, -151, -243, -355, -487?\n\"Answer: -10*l**2 - 2*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f = -6*f + 6. Differentiate p**3 - f + 8*p**3 + 5 with respect to p.\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 30003275?\nAnswer: 5, 397, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 275660 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = 22098 - 20896. Is d greater than 1202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 209 (b) 5 (c) 0.2 (d) 8 (e) 4\/35 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 627274091*j**5 + 745*j**2 - 105*j + 18 wrt j.\nAnswer: 37636445460*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -41 times 6702\nAnswer: -274782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -124*i + 6. Let b(h) = 122*h - 7. Determine -5*a(p) - 4*b(p).\nAnswer: 132*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 3*x + 16. Let y be d(6). Let j(w) = 17*w + 1 - 1 - y*w. Let f(q) = -q. What is j(f(v))?\nAnswer: 17*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 6713399 divided by -959057\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3.35 + 3.65. Let r be (2\/3)\/(8\/(-12)). What is the closest to 1 in r, b, 2\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 51689 and 136906.\nAnswer: 1397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.12274 + -0.07726. What is the closest to 0 in j, -1, 13\/3, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 70659?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(13) + 2 + 0)*6)**2.\nAnswer: 144*sqrt(13) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 2, m: 2, h: 1, g: 1, x: 2}. What is prob of picking 1 x and 1 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 481061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p be (73\/(-1971))\/((-1)\/(-6)). Let c = -11 - -4. Sort -1\/2, p, c in decreasing order.\nAnswer: p, -1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 108a (base 13) in base 6?\nAnswer: 14411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 + 5 - 1) + -29 + 51 + -17 - 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/((-30)\/8)*(-4)\/16?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 z and 1 f when three letters picked without replacement from {z: 10, f: 4}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 159347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v be (0 - 1)*-1*5. Let y(p) = -p**3 - p**2 + p. Let m be 2\/(-3)*6\/4. Let r be y(m). Sort 3, r, v.\nAnswer: r, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o**2 - 1. Let q(s) = 2 - 160*s**3 + 346*s**3 + 3*s**2 - 170*s**3 + 0. Calculate -3*g(p) - q(p).\nAnswer: -16*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-279 + 109 - 126)*(0*q + q + 0*q).\nAnswer: -296*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 98 and 154.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -6 divided by -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) be the third derivative of -t**6\/120 - 11*t**5\/60 - t**4\/24 - 7*t**3\/6 - 51*t**2. Calculate f(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 546 and 104.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 5 divided by 39496\nAnswer: 5\/39496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 8*m - 40 + 46 + m**2 - 2*m + 0*m - m. Give g(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = j**2 + j + 1. Let k be v(4). Suppose n - k = 68. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1494859727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 10*j - 55665 = 0. Suppose -32000 = -2*f - 0*d + 4*d, 0 = -5*f + 2*d + 79976. Let q = f - j. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -31\/65709 and 20\/867.\nAnswer: 18989901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -5*r - 1280. Let k(z) = -2*z - 6. What is -3*k(t) + m(t)?\nAnswer: t - 1262","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 8145*v + 94 + 90 = 8141*v for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: What is 0.4259766 years in centuries?\nAnswer: 0.004259766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/(v*v\/(v*v\/v**20*v))*v)\/(v\/(v**(1\/3)*v)))\/(v*v**(-7)\/v*v*v\/(v**(2\/87)*v)) assuming v is positive.\nAnswer: v**(-926\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34*i - 35*i = -1. Suppose -18 = 2*w + 5*m, i = -m - 3. Solve c - w = -0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be -3 + 9 - (-1)\/(-1). Let v(p) = -6 + 28 + 2*p - 12 - 6. Let o be v(a). What is the highest common divisor of 98 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1690 a factor of 602034052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 213835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = 30 + -17. Suppose -70*w = -68*w + g - 103, w - g - 53 = 0. What is the highest common divisor of r and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 14 - 19. What is the nearest to 0.1 in w, 1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 2*y + 6. Let h be z(6). Suppose -v - 5*p - 6 = h, -2*p + 140 = -4*v. Let o be 4*2*v\/(-8). Calculate the greatest common divisor of 51 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 16276 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sum 13.42484953538 and 3.\nAnswer: 16.42484953538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 1\/43 (b) 2 (c) 5\/734 (d) -1 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qyqcccqyscyyqsq. What is prob of picking 1 s, 1 c, and 1 q?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 834744 and 834744.\nAnswer: 834744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -40*f + 35*f = -40*f - 770 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3015 and 397019421?\nAnswer: 1985097105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) be the first derivative of -51*j**2 - 7*j + 11. Suppose 3*r = -5 - 10. Is y(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 77\/(-14)*(-4)\/11. Let f(n) be the third derivative of 6*n**q + 7\/24*n**4 + 0*n + 0 + 0*n**3. Let b(s) = s**2. Give b(f(m)).\nAnswer: 49*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 1848128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (-125)\/25*24\/15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find z, given that z**5\/3 + 131*z**4\/3 - 1256*z**3\/3 + 596*z**2\/3 + 5008*z\/3 - 4480\/3 = 0.\nAnswer: -140, -2, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = -57.3 + 57. Let u = 22 + -14. Let j = u - 3. Which is the smallest value? (a) j (b) 2\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 125 less than or equal to 125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:52 PM and 11:36 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 4*n + 1. Let u be v(1). Let p(z) = -u - 3*z - z + 3*z. Let g be 6\/8 + 138\/(-24). Give p(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -87204 divided by -43602?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1245.95 + 1366. What is c rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 43\/24 - 9\/8. Suppose 2 = c + 44. Let p be 75\/c - 2\/(-7). What is the third biggest value in 2\/7, p, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -10543 (b) 0 (c) 136\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -b**2 - 1. Let c be i(0). Let x be 10\/((-3)\/((-3)\/c)). What is x rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 379 divide 29724318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nwwnwwnxwnwnwwltn. Give prob of sequence nwt.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 47, 159, 345, 605, 939?\n\"Answer: 37*h**2 + h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1194731?\nAnswer: 1194731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/47 >= -9032\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (p**2 - 2 + 2)*(-4*p + 4*p - 2*p) + p**3 - p**3 + 3*p**3 + (-12*p**2 + 16*p**2 + 28*p**2)*(-12 + 12 - 2*p).\nAnswer: -63*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*t**2 - 24*t**2 - 60*t**2.\nAnswer: -91*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 53482040.\nAnswer: 2, 5, 41, 32611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 415*r + 207525 = 420*r + v, -10 = 2*v. What are the prime factors of r?\nAnswer: 2, 20753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 7732160 divided by -1546432\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 3*g**2 + 1. Let l be 4 + 11 + -10 + -3. Suppose 3*i = 8*i + 70. Let f = i - -3. Let c(v) = 16*v**2 - v + 4. Give f*t(y) + l*c(y).\nAnswer: -y**2 - 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*z + 2*z - 16*z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = -14 - -19. Solve 0 = -w*j - c - 21, j - 4*c = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3.4 - 3.351. Round t to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 341 minutes after 3:17 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 552*a + 516*a + a + 1556*a.\nAnswer: 2625*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f = 370.8373 - 0.8373. Sort f, 0.1, 0, -0.01 in decreasing order.\nAnswer: f, 0.1, 0, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (((sqrt(325)*2 - sqrt(325))*3)**2 - sqrt(325)).\nAnswer: -5*sqrt(13) + 2921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*z - 4 = -14*i + 13*i - 32, -3*i - z = -6*i - 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 735, 733, 731, 729, 727?\n\"Answer: -2*n + 737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 511*s - 187*s - 185*s - 139*s - 5*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) be the third derivative of 13*r**4\/8 + 8*r**3\/3 - 40*r**2. Differentiate m(l) with respect to l.\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*w + 12 = -19*w. Let s(t) be the first derivative of -6 + 0*t + 3\/2*t**w. Let u(f) = -3*f**2. What is u(s(o))?\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = y**3 - y**2 - y - 1. Let g = -74 + 76. Let n(w) = -36*w**3 + 44*w**2 + 44*w + 44. Give g*n(u) + 88*q(u).\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -3*n**2 + 35*n - 47. Let s be u(10). Solve -11 = 2*x + t, -2*x - s*t = -t + 16 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) be the third derivative of o**8\/5040 - o**7\/630 + o**5\/10 + 5*o**2. Let l(m) be the third derivative of u(m). Let l(w) = 0. What is w?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 30 + -190 - (1 + 15 + (-8 - 15)).\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -14.98519 + -0.01481. Which is the closest to 6? (a) 0 (b) l (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -3*q, -2*o + 18 + 26 = -5*q. What is the smallest common multiple of o and 984?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 403*g**2 + 70*g**2 + 52*g**2 to the form u + i*g**2 + h*g and give i.\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 - 65266*m - 3 + 2 - 4.\nAnswer: -65266*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 11 - -44?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 54 minutes after 12:08 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -23*d*w**4 + 49*d*w**2 - 3120*d*w + 3893*w**6 - w**2 wrt w.\nAnswer: -552*d*w + 467160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 30\/6*(-14)\/(-35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*g + 0*g - g)*(69 - 193 - 172)*(-3 + 2 + 2) to y*g + q and give y.\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Multiply 9161522.2 and 0.4.\nAnswer: 3664608.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 2*d - 24 = 0, -3*d = 2*q - 21 - 41. Let g be 3\/2 - (q\/8)\/(-7). Factor -5\/7*m - 4\/7*m**g - 1\/7*m**3 - 2\/7.\nAnswer: -(m + 1)**2*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = r + 161. Let k(f) = 6*f**2. Determine y(k(a)).\nAnswer: 6*a**2 + 161","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 400 = -1050*d + 1010*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i - 40 = i. Which is the third smallest value? (a) i (b) 4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 121180 and 700.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -85801137, -85801135, -85801133?\n\"Answer: 2*x - 85801139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -2*g**2 - 12*g - 27. What is r(2)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (195\/(-15) - 1130\/(-130)) + (-1 - -5)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/25 of a millimeter in micrometers?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.71, -1\/8, -1636.\nAnswer: -1636, -1\/8, 0.71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 52 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -4*m - 46. Let t(u) = -2*u - 23. Let f(h) = -2*j(h) + 5*t(h). Let z be f(-12). Is z\/(3\/240*4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 99.51458 centuries to millennia.\nAnswer: 9.951458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 31407.77 at least as big as -147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -1aa (base 16) to base 11\nAnswer: -358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 306 = -4*d + 5*d. Let m = -33 + d. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r = -4 - 20. Is (-4)\/r + 226\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.7 less than -3000.517461?\nAnswer: -2998.817461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 80935426 and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.113 in -11, -0.1, 1\/8, 1\/3, -17?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 2, l: 6, i: 1, k: 9, v: 1}. What is prob of picking 2 k and 1 l?\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 2*t + 9. Let l be x(2). Suppose -l = -4*u + 3*u + 4*j, -4*u - 4*j + 12 = 0. Suppose v - 348 = -u*v. What are the prime factors of v?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3*-1*1 - (-6880)\/(-4128).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = d**3 + 16*d**2 + 18*d - 37. Let v(b) = b**2 - 18*b + 43. Let x be v(14). List the prime factors of s(x).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-7*k + 7*k - 2*k**2)*(6*k**2 + 3 - 3*k**2 + 0*k**2) to the form t*k + o*k**2 + c*k**3 + j*k**4 + y and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1201*k**3 - 1201*k**3 - 5*k - 24*k**4 wrt k?\nAnswer: -288*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 59843 or 59912?\nAnswer: 59843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = j**3 + 4*j**2 + 248*j + 2242. Let b be x(-8). Factor 0*n - 2*n**b + 2\/3*n**4 + 0 + 4\/3*n**3.\nAnswer: 2*n**2*(n - 1)*(n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a = 5*z - 9, 49*z - 44*z - a = 4. Let d be z - (2 + -5)*(-12)\/9. Put d, 2, -15, -5 in descending order.\nAnswer: 2, d, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*f + 2*g + 24 = 0, 0 = 4*f - g - 100844 + 100842 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u be (30\/(-39))\/5 + (-54)\/(-13). Suppose 40 = -0*f + u*f. Suppose 4348 = f*i - 6*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m**2 + 2*m + 1. Determine c(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1977360053?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 6*z**2 - 3*z**2 - z - 4 + 4*z - z**2. What is the lowest common multiple of j(-4) and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -9296 divided by -28\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x = -5*w - 22, -5*x + 2*w = -2*w - 26. Suppose g**3 - g**2 + 2*g**2 + 1 - x*g**2 - g = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 188 is divided by 68?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-6)\/(-12))\/((-1 - 1)\/24). Let k be (-15)\/a*(-4)\/(-2). Suppose -k*y + 227 - 2 = 0. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-30)\/(-4))\/(-5)*-40. Let d be -1 - (-6 + 4) - 22. Let x = d - -33. What is the highest common divisor of x and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -b**2 - 1. Let j(q) be the first derivative of -8*q**3\/3 - 6*q + 2. Calculate j(s) - 6*m(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = -20 - 17. Let t = 42 + j. Calculate the greatest common factor of 40 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 334.667741 rounded to two dps?\nAnswer: 334.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -b**2 - 9*b + 25. Let p be v(-11). Suppose 0 = -2*t + p*t + 6. Is t at least -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8*c**3 - 22*c + 3*c**3 + 3*c**3 + 2 + 3*c**3 to j*c**2 + k*c**3 + m + l*c and give l.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1041392)\/32208)\/(1\/3)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.19 + -21725?\nAnswer: -21724.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 79, -85, -2 in decreasing order.\nAnswer: 79, -1, -2, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48*p + 52*p - 220 = 0. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1291 - -1290. Sort s, 4, -4\/25, -1.3.\nAnswer: -1.3, s, -4\/25, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*q*q**0\/q)\/q*q*(q*((q*q**(-2\/19))\/q)\/q)\/q*(q**(-2\/5))**(-33))\/((q*q**(-1\/4))**(-16))**(-1) assuming q is positive.\nAnswer: q**(104\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*k**2\/7 - 45882*k\/7 + 137520.\nAnswer: 2*(k - 22920)*(k - 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0236422 to 4 decimal places.\nAnswer: -0.0236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express -2*z - 2704 - 2702 + 5384 in the form h + i*z and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 5122646 to the power of 1\/3, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 130*p = -149 + 274 + 265. Solve -7 = 5*g + p*a, 4*g + 0*g = 2*a + 12 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 103, 186, 243, 262, 231, 138, -29, -282?\nAnswer: -633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -47, -4, -7017 in descending order.\nAnswer: -4, -47, -7017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1 (b) -4 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide -4124 by 443.\nAnswer: -4124\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = 44\/25 + -258\/175. Factor -2\/7*c - d*c**2 + 4\/7.\nAnswer: -2*(c - 1)*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 4, p: 6}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -41, -71, -93, -107, -113, -111?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -g - 1. Let l be j(-3). What is the common denominator of (-1614)\/(-378) + (-6)\/(-21) and l - 0 - (-12)\/(-5)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -453 or -443?\nAnswer: -453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 + 1 - 5 + (-6 + 2 + 2)*(-2 - 1 + 2))*(-313 + 313 + 23*c) to i*c + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*i + 164*a + 86 = 75*a + 84*a, -4 = -14*i + a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 259 + 68*p**2 - 18*p**2 - 518 + 257.\nAnswer: 50*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ydyyeyoyoeoyevyheo. What is prob of picking 1 v, 1 h, and 1 e?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r be -30*1\/2*-7. Let j(o) be the second derivative of o**4\/4 + o**3\/6 + 5*o**2\/2 + 2*o. Let q be j(-2). What is the greatest common divisor of r and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1.9 (b) -0.4 (c) 0.2 (d) 2\/73 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 10, h: 4, g: 2, i: 1}. Give prob of sequence hch.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yyoyoyopyppoopooyyop. Give prob of sequence ppyo.\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-6)\/(-33) + (-40680)\/132. Let n = j + 312. Solve -n*x - 3*u + 20 = -u, -3*x = 2*u - 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 11*c*p**3*v**3 + 3*c*p**3*v + 18*c*p*v**2 - 87*c*p*v - 214228*p**3*v**3 + 8*p**3*v + 2*p wrt v.\nAnswer: 66*c*p**3 - 1285368*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is c in c**2\/10 + 168051*c\/10 = 0?\nAnswer: -168051, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2 + 5. Let t(q) = q**2 - 3*q - 6. What is the remainder when t(6) is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 276767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(5)*-2)**2 + sqrt(50)\/(sqrt(10)*-1).\nAnswer: -sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s be -2*(-1)\/(2\/3). Let v be (-2)\/8 - 1\/(-4). Let r = 1\/2 + v. What is the closest to -1 in 0.2, r, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 1, a: 10, b: 2, e: 3}. What is prob of picking 1 e and 1 a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -2*g - 2*g. Let w(c) = -11*c**2 - 2*c - 1. Determine w(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 0*c + 3*z = -12, -5*c - 3*z = 12. Solve 4 = -p - c*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 37\/24 and -38\/7?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3\/4 in 45, 0.45, 0.049, -22, -3?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v + 80357 = -4*k + 80335, -2*v - 34 = 3*k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -242 + 474 + 2*l**3 - 8*l**3 - 232.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 9355823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -m**3 + 4*m**2 + m - 9. Let y be k(5). Let q be (y - -37)\/((-2)\/(-11)). Calculate the greatest common divisor of 99 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -t**3 - 5*t**2 - t - 4. Suppose -10*f = -9*f + 6. Let v be n(f). Suppose 750 = 4*a + v. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2\/19 + (60 - (-90220)\/(-1520)). Let 7\/4*r**5 + 0 + 0*r + u*r**3 + 3*r**4 - 1\/2*r**2 = 0. Calculate r.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3 bigger than 226\/109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 675 minutes before 9:09 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2.6 + 2.4. Let p = -0.4 - 0.1. Which is the second smallest value? (a) 0 (b) u (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 3*n. Let w be c(1). Let r be (-24)\/(-12) + w\/1. Suppose r*b + h = 13 + 151, -5*b - 4*h = -176. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3734 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 672, 567, 462, 357?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*-2*(sqrt(1728) - (0 + sqrt(1728))))**2 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 62 divide 4960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -t**3 - 7*t**2 + t + 8. Let b be j(-7). Let v(z) = 5*z**3. Calculate v(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 14\/6*(-3 + 6). Let s(n) = -n**2 + 7*n + 2. Let h be s(z). Suppose -i - 2 = -h*j, 5*j + 0*j = -4*i - 8. Sort -1, -3, j in decreasing order.\nAnswer: j, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 101001012 (base 3) to base 4\nAnswer: 1302122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24726844.\nAnswer: 2, 107, 57773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -2*z + 19. Let d(o) = -o + 10. Let s(m) = -11*d(m) + 6*q(m). Let r(v) = -v + 3. Suppose 0 = a - 1 + 5. Let g = 2 - -1. Determine a*r(i) + g*s(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) be the second derivative of 4*a**3\/3 + a**2 - 468*a. Let f(x) = -17*x - 4. Determine 6*f(j) + 13*n(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*r - 5*n = -115, 0 = 2*n - 32 - 23 + 9 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 12073393547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 35\/625152 and 115\/7062.\nAnswer: 66891264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -1.6 (b) 34 (c) 0.4 (d) -12\/79 (e) -0.4 (f) -1\/3 (g) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 344134 to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 - -2 - (-6 - -12 - (1 - 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.4 * -91324239\nAnswer: 36529695.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -10212 (base 3) in base 13?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 61*6 + (-23)\/115*5 is divided by 91?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*a - 409 + 407 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -44600 rounded to the nearest 1000?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*j + 24 = -16*j. Let z(i) = -i**2 + i + 17. Let q be z(j). Sort 1, -7, q.\nAnswer: -7, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = g + 6*g**2 + g + 5*g**2 - 4*g. Let h be n(-2). Suppose -3*o = -7*o + h. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 6*v**2. Let y = 32 + -17. Let r be (-50)\/y*6\/(-5). Let m(n) = 5*n - r*n - 2*n + 0*n. What is m(u(z))?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 707 minutes after 5:10 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2\/7 or 217\/4542158?\nAnswer: 217\/4542158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -52*f - 2366 - 2\/7*f**2.\nAnswer: -2*(f + 91)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 67 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/9, -0.4, 3\/2 in decreasing order.\nAnswer: 3\/2, 2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 106273483*u**3 - 57520765*u**2 wrt u?\nAnswer: 637640898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -979*a + 3470 = -978*a. What is the least common multiple of 1388 and a?\nAnswer: 6940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-8)\/(2*-2) + 16. Suppose 5*q - 3*q - b = 0. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23*t - 10*t**3 + 0*t**3 - t**2 + 5*t**2.\nAnswer: -10*t**3 + 4*t**2 + 23*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = -517\/2 + 293. Find the common denominator of t and 59\/2 - (2 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 29 divided by -17695.\nAnswer: -29\/17695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 0.5 (b) 29 (c) 10.1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -56 = -7*j + 11*j - 2*f, 4*f = -8 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -11 + 6 + (-1 - (8 + -3)) - -2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 9*b**2 - 1587*b + 59461. What is o(54)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-3)\/18 - 58060\/(-24). Suppose 2*p - b + 645 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -3 + (-2 - 148\/(-28)). Which is the closest to -0.1? (a) x (b) 0 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 110*c + 1570 + 1181 = 221 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-10)\/5 - (-8)\/4. Let j be (-1 + x)\/((-1)\/(2 + 0)). Calculate the smallest common multiple of ((-26)\/14 + -1)\/(j\/(-14)) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*h + 3*j - 450, 2*h + 223 = h + j. Let n = 676 + h. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 263745.6 nanograms to tonnes.\nAnswer: 0.0000000002637456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 83 = -0*t. Suppose -52*q = 125*q - 4398 - 3213. What is the remainder when t is divided by q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -z**3 + 13*z**2 + 5*z - 15. Let q be (-1)\/(-3) + (-304)\/(-24). What is the remainder when u(q) is divided by ((-65)\/4)\/(-5)*4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2842.211 nanometers to millimeters.\nAnswer: 0.002842211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -4, 1.28, 3?\nAnswer: 1.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 345, 1059, 1773?\n\"Answer: 714*i - 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 230661906502 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -15*0.94613.\nAnswer: -14.19195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 6640 and 160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8, 29, 70, 137, 236, 373, 554?\nAnswer: 785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -77559, -77550, -77541, -77532, -77523?\nAnswer: -77514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 38 - 37. Which is the fourth biggest value? (a) 0.5 (b) -2 (c) p (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 2*s**2 - 3*s - 3. Let u(f) = -f**2 + 15*f - 1. Suppose 0 = -l - 2*b + 13, -10 = b - 9. Let j be u(l). Let y be z(j). Solve -2*g + y = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) be the third derivative of x**6\/240 + 7*x**5\/120 + 5*x**4\/16 + 3*x**3\/4 + x**2. Find u, given that l(u) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 13296326 and 73129793.\nAnswer: 146259586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = 324 - 324. What is the biggest value in z, -0.062, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 16 (b) 1486 (c) 4\/3 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tttt when four letters picked without replacement from {t: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 66386*d - 3. Give v(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 85 divide 5030646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -10 + -5 + 5 - (-19 + 11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*z**3 - 40*z**2 - 134*z - 96.\nAnswer: -2*(z + 1)*(z + 3)*(z + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 32416 equal to 32417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-429 + -8 - 8)\/((-2)\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kbk when three letters picked without replacement from kbbbxxxuwbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*o + 3*r + 33, 4*o = 5*o - 5*r - 20. What is the remainder when 54 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9.422613 tonnes in micrograms?\nAnswer: 9422613000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -3 - (9 - (-6 + 4 - -3 - -1))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*v - 7 = 9. Suppose v*i + 96 - 624 = -3*h, i = -h + 176. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Let r be (-10)\/4*20\/(-5). Suppose j = -5*z + 572, -z - r = 5*j - 110. Suppose -2*x = 3 - 5, -3*x + z = m. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i = 3*b - 3, b - 25 = -i + 6*b. Suppose 4 = -2*d - i*u, -4*d - 3*u - 6 = -d. Let l(m) = -m**3 + m**2 + 3*m + 2. Does 3 divide l(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -108*s**3 + 26*s**2 - 53 - 10*s**2 - 11*s**2 - 7*s**2 + 5*s - 11*s wrt s?\nAnswer: -324*s**2 - 4*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (175\/840)\/(5\/3)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 160138 divided by -22?\nAnswer: -7279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3989743 + 12639505987\/3168. Calculate the common denominator of 113\/1188 and v.\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + 11*v - 110 = 12*v, 2*b + 3*v - 66 = 0. Calculate the lowest common multiple of b and 51.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 201*g - 21 = 194*g. Sort -1, 0, g in descending order.\nAnswer: g, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*o**2 - 1251 + 2502 - 1251.\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -24617110 (base 8) in base 9?\nAnswer: -11222178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cjh when three letters picked without replacement from zzzzhczjzhzzccczzzz?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 564 and 7471214.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) be the first derivative of m**4\/4 + 7*m**3\/3 + 2*m**2 + 7*m - 1. Let w(o) = -39*o**2 - 298*o - 180. Let v be w(-7). Determine h(v).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (8\/3)\/(5\/(-30)*-8). Sort w, 1, -1, 4 in increasing order.\nAnswer: -1, 1, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*f + z = 3*f + 10, -3*f + 4*z - 22 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 80 and 58032.\nAnswer: 290160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -23223 (b) -20 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 2826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*d + d + d)*(-3*d**2 + d**2 + 0*d**2) + 0*d**2 + 0*d**2 - 3*d**3 + 2*d**3 + d**3 - d**3 to i*d + p + a*d**3 + q*d**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 740*n - 1254*n - 21891 = 5460*n - 219033 for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 118 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 3) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5491925851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1137*j**3 - 741*j**3 + 2047*j**3 - 3469*j**3 - 9663 - 3759*j**3 with respect to j.\nAnswer: -21177*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*k**3 + 8 - 24 + 3*k**3.\nAnswer: 5*k**3 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-2\/5))**(7\/6)*z**(-5)\/(z**(5\/3)*z)*z**0\/(z**2\/z)*z*z*z**(1\/4)*z*z\/(z\/z**(-3)*z) assuming z is positive.\nAnswer: z**(-593\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25015 - 4427 = 4*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -8*q**2 + 5. Suppose -236*z + 67*z - 212*z = 381. Let v(y) = -3 + 0*y**2 + y**2 - 2 + 4. Calculate z*t(i) - 5*v(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 2*c = 78, 0*q + 205 = 5*q + 5*c. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 44621215 is divided by 420?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/6 - (16170\/(-36))\/55?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -14\/9, 71, 443, -2.8.\nAnswer: -2.8, -14\/9, 71, 443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*c + 7*c + 3 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -781*x**2 + 213*x**2 - 340*x**2.\nAnswer: -908*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -s**2 + 5*s - 3. Let u be d(5). Let w = 6.1 - 2.1. Which is the biggest value? (a) w (b) u (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate a**2*m**2*n - a**2*m**2 - 7739*a**2*m*n + 13*a**2 + 131*a*m with respect to n.\nAnswer: a**2*m**2 - 7739*a**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2\/9, 18, -1\/4, 11343, 5, 0, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 + (136 - 27) - 29.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -7.4 - -2.4. Let q = -17 + 14. Which is the nearest to -1\/2? (a) j (b) q (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 561 (b) -4 (c) -3\/2 (d) -0.1 (e) 1.099\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -5*d - 54. What is v(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 5692.959s to hours.\nAnswer: 1.5813775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 115.89 * 0.3\nAnswer: 34.767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 0*d**2 + 4*d**2 + 0*d**2 - 6 - 7*d**2 - d in the form q + z*d**2 + x*d and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 109 is divided by 45.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = 17 - 25. Let w = -4 - i. Which is bigger: w or -1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, 3\/8, -94, -3\/5, 3 in descending order.\nAnswer: 3, 3\/8, 0.3, -3\/5, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is (-1 - 0)*-47*5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -15*a**2 + 2 - 80*a**4 + 14*a**2 + 0 + 14*a**2 wrt a.\nAnswer: -1920*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1019 + 1014. Let f(r) be the third derivative of -r**5\/60 - r**4\/6 + 5*r**3\/6 - 7*r**2. Calculate f(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -2*w + 16. Let x be o(6). Suppose -3*f + x*f = 4. Suppose -41 - 139 = -f*b. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4341392 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + (sqrt(153) + sqrt(153) + (sqrt(153) - ((3*sqrt(153) - sqrt(153)) + sqrt(153)) - sqrt(153)))*3 + -1)**2.\nAnswer: 18*sqrt(17) + 1378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*g - 2*q + 10, 0 = 2*g + 6*q - 12*q + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) be the second derivative of -n**4\/12 + 5*n**3\/6 + 7*n**2\/2 + n - 8. What is s(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -46, -91, -136, -181, -226?\n\"Answer: -45*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 36 = -4*i - 44, -5*i + 11 = -4*w. What is the closest to -0.1 in i, -0.4, 261?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 324232 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = u + 2*j, 2*u - j + 73 = 7*u. Solve y + 3*k - 1 = 0, 0 = -5*y - 5*k - 0 + u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -6189 - -24761\/4. What is o in -35\/2*o**2 - l*o**5 - 5\/4*o**3 + 5*o**4 + 25*o - 10 = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 6355443?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -g**3 - 5*g**2 - 4*g - 7. Let i be f(-5). Let m be 37\/i - 2\/(-13). Let y be (2 + m)*(-4)\/5. Let h(l) = -l**2 - 6*l - 1. What is h(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -s - 2*p, -11 - 4 = -s + 3*p. Solve 2*b - a + 3 + 10 = 0, s = a - 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*s + 163*n = 161*n - 1018, -3*s + 205 = -5*n - 86 for s.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.4 + -11.4. Let h = 2\/21 + 11\/105. Sort h, 0.3, 3, t in decreasing order.\nAnswer: 3, 0.3, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -38231*y + 9572*y + 9557*y + 9583*y + 9586*y.\nAnswer: 67*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.07 in -0.06, -2, -1\/5, 0.5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -330.51 - -380. What is z rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) be the second derivative of -5*s**3\/6 + 14*s**2 + 195*s. What is f(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 484*l + 2. Let r be j(2). Suppose 5*h - r = 1100. Suppose 5*b = -5*f + 410, 0 = -3*f + 8*f + 4*b - h. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 76*l + 430 = -610 - 1316 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (-105)\/(-90)*(48\/(-7))\/(-3)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2 - (-9 + 13 + (3 - 3 - 4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*j**2 - 2*j**2 - j**2)*(-24561 + 24561 - 168*j) + j**3 + j**2 - j**2.\nAnswer: 505*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -6950*x = -1657*x - 68809 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((25\/(-10))\/(4035\/5380))\/((-4)\/(-138)).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 186603, 373194, 559785, 746376, 932967?\nAnswer: 1119558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 90 and 88950.\nAnswer: 266850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1745.\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 5*p - 2*p - p + (3 + 0 - 1)*(1 - 7*p - 3*p + 6*p) in the form q + u*p and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1.8 - -2. Let l = 0.3 - j. Let h = 73\/28 + -3\/28. What is the closest to l in 0.3, -0.2, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - u + 0 - 4 = 0, 0 = -3*a - 3*u - 12. Let h be (a + -354)*(-40)\/12. What is h rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 909486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*c**2 - 5*c**2 + c**2 + 1 + 2*c**2 - 1 + (-3*c**2 - 2*c**2 + 3*c**2)*(1 - 1 + 3) + 0*c - 2 - 5*c**2 + 4*c - 2*c.\nAnswer: -16*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (-10)\/(-12)*1*(-84)\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*a + 0*a + 2*a)*(-1 + 1 + 3)*(-3*a - 6 + 6) to w + b*a + t*a**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sprrprssnnnnpsssps. Give prob of sequence rrr.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = h. Let c(z) = -968*z**2. Let x(d) = -19*d**2. Let j(q) = -3*c(q) + 154*x(q). Determine l(j(a)).\nAnswer: -22*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 20904343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = 82\/5 - 353\/20. What is the biggest value in -1, n, 3\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -319*v + 58*v = 4698 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 113*l**4 + l**3 + 40228*l**2 - 584635*l - 141 wrt l?\nAnswer: 1356*l**2 + 6*l + 80456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -3*l - 101. Calculate the smallest common multiple of (-1)\/2 + l\/(-6) and (-2)\/(2\/(-3)) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 208142 divided by 1.\nAnswer: 208142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -1223*c - 6 + 20 = -1227*c + 6*i - 3*i, -3*i - 6 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -2, -184, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -809 equal to -1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3223305095.\nAnswer: 5, 644661019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4 + 10. Let j = i - 6. Put 5, j, -2 in descending order.\nAnswer: 5, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2493)\/(-102) - 210308\/8584?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 2\/5, 2, 0.5, -0.2, 1722, 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5.8 - -60.2. Let o = 967 + u. Let b = 1032.999417 - o. Round b to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2*((-30)\/(-12) - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -5*n**2 + 2*n + 6. Let h = -6196 - -6198. Calculate d(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -102187 divided by 5?\nAnswer: -102187\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 1506, 5925, 13294, 23613, 36882?\n\"Answer: 1475*c**2 - 6*c + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*(-4 + sqrt(7) + (sqrt(35) - sqrt(280)\/sqrt(8))\/sqrt(5)) - 2*sqrt(567)*2*6)*-3)**2.\nAnswer: -47304*sqrt(7) + 3022839","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 859855 to the power of 1\/2, to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 30 divided by 31.\nAnswer: 30\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -42034*t**3 + 6*t**2 + 7008*t - 3?\nAnswer: -252204*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 9 = -6*f + 4*f, 5*i - 5*f - 50 = 0. Let v = i + -7. Suppose -8 = v*b - 0*b. Let a(w) = -2*w**2 + 1. What is a(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = u**3 - 4*u**2 + 3*u - 2. Let f be c(4). Suppose 3*o = -2*o + f. Factor 36*w - 36*w**2 + 39*w**3 - 6 - 2 - 22*w**o - 9*w**4.\nAnswer: -(w - 2)*(w - 1)*(3*w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1 - -1 - (2 - 0). Suppose c = a - 3*h - 14, -a = 3*a + 5*h - 90. Suppose -1492 - 8785 = -143*u + 1163. What is the greatest common factor of u and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*q**2 - 2*q**2 + 5*q**2)*(50*q - 14 - 27*q - 25*q) in the form y*q + m*q**2 + z*q**3 + d and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = k - 0*k. Suppose -2*o + 793 = k*g - o, 194 = g - 4*o. Suppose 2*m = 62 - g. What is m rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2, -1, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = 46*f + 2. Let g be z(6). Let t = 1525 - 455. Suppose -4*a = -g - t. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -74959, -300013, -675099, -1200211, -1875343?\nAnswer: -2700489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -10.05 + -59.95. Let k = -81.0953799 + 11.0953609. Let s = a - k. What is s rounded to six decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36*m + 35*m - 155 = 0. Let y be (-93)\/248 - m\/8. What is the highest common factor of y and 608?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-4)\/66 + 13\/((-42042)\/1190). Sort p, -17, -3\/8, 0.2 in descending order.\nAnswer: 0.2, -3\/8, p, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t**2\/9 + 19868*t\/9 + 17720128\/3 = 0. Calculate t.\nAnswer: -2192, 12126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 11364583.1 rounded to the nearest one hundred thousand?\nAnswer: 11400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-140)\/(-42))\/(4\/6). Let l be (17\/(-34))\/(165\/84 - 2). Solve r*v + y = -2 + 20, l = 4*v + y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 8*w. Let j(u) = 1 - 40*u**2 - 4 + 0 - 2 + 3. Calculate x(j(v)).\nAnswer: -320*v**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:53 AM and 8:37 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 2*y = 10, 3*v + 14 = -2*y + 4. Suppose 0 = d + 4*s - 118, v = -4*s + 6 + 6. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 14541, -12, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -160 or -168?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide -842 by 918.\nAnswer: -421\/459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -255, -533, -845, -1191, -1571, -1985?\nAnswer: -2433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -3\/22, -0.4, 285?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (-4 + 342\/81)*2\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 19, 62, 131, 226, 347, 494?\nAnswer: 667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(-4)*-5*18\/(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*a**2 + 45*a + 78.\nAnswer: 3*(a + 2)*(a + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -2*x**3 - 3*x**2 - 5 + 6 - 2*x - x**4 + 4*x**2 in the form p*x**4 + q*x**3 + c*x**2 + t*x + u and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8*h - 3 + 17*h - 38*h + 11 + 27*h to n*h + g and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -33271723 (base 8) to base 6\nAnswer: -413424403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) be the third derivative of h**8\/28 - h**5\/60 + 6*h**2. What is the third derivative of t(v) wrt v?\nAnswer: 720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -901139 divided by 21979\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 7*v**3 - 21*v**2 + 17*v + 3. Let y(f) = 13*f**3 - 39*f**2 + 31*f + 6. Let o(b) = -11*m(b) + 6*y(b). Factor o(g).\nAnswer: (g - 3)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2 - -3)\/((-2)\/(-8)). Suppose 13 = s*r + 1. Solve -2*m - 13 = 5*c, -r*m - c - 4 = -4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 4 - 60?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that 450 - 5*x**3 - 42*x**2 - 42*x**2 + 34*x**2 + 111*x - 66*x = 0.\nAnswer: -10, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -129 + 266 - 331*b + 99*b - 133 in the form j*b + h and give j.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 26380, 26330, 26246, 26128?\nAnswer: 25976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: 6\/4 + (-1 - 8\/16)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify g*g**(-8\/3)*g*g*g\/g**(1\/2)*g*g*g**(-3\/5)*g\/(g*g\/g**6*g) assuming g is positive.\nAnswer: g**(187\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r**5 + 598*r**4 + 50472*r**3 + 49280*r**2 - 101255168*r + 101154816 = 0. What is r?\nAnswer: -112, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -306*g - 43*g - 99*g - 372*g in the form t + u*g and give u.\nAnswer: -820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Add together -8 and 246.\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1 - -5. Let t be 88\/h - 2\/3. What is the highest common divisor of 35 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*x**4 - x**4 + 0*x**4 + (3 - 5 + 3)*(3*x**4 - 3*x**4 - 2*x**4) + 121*x**4 - 78*x**4 - 84*x**4.\nAnswer: -42*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = 5*m. Let j(o) = 2*o - 23. Calculate j(k(c)).\nAnswer: 10*c - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z = 40 + -41. Let s be 1\/4 - (z + (-27)\/(-12)). Which is smaller: 4\/53 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 35*c**4 + 172925*c**3 - 1955300*c**2 + 3664300*c - 891360 = 0 for c.\nAnswer: -4952, 2\/7, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 10437 and 5325?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -356*u = 1062 + 3210 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 4 (b) 719\/1762 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1076*n**4 + 30*n**3 - 10999*n**2 + n - 1 wrt n.\nAnswer: -25824*n + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2971*k**4 + k**3 - 2 - 2907*k**4 + k - 26*k**2 + 5881*k**4 + 6*k**3 to the form f*k**2 + v*k**4 + z*k + q + g*k**3 and give f.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 518832.4 centuries to millennia.\nAnswer: 51883.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 157702 and 123337.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 10*u + 54904 = 0. Let o = u + -3574. Suppose o = 4*d - 1107. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 + 6 - 3*h - 8737*h**2 + 8729*h**2 + (0*h**2 + 3*h**2 + 0*h**2)*(-3 - 1 + 3).\nAnswer: -11*h**2 - 3*h + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (-10)\/((-6)\/(-3) - (-100)\/(-40))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) be the second derivative of d**10\/120960 - d**9\/60480 - d**8\/13440 + 25*d**4\/6 + d**3\/3 + 141*d. Let a(o) be the third derivative of z(o). Factor a(c).\nAnswer: c**3*(c - 2)*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 273536999?\nAnswer: 23, 2971, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 96*d**2 - 580*d - 4. Let k be p(6). Suppose 0*a = 3*a + 57. Which is bigger: a or k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i = 2, i = p - i - 6. Suppose 0 = 3*j - 8 - p. Let f = -5 + 6. Solve j*q - 7 = f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3 - 2*j + 3 + (1 + 4 - 4)*(-3*j - j + 3*j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 71*f + 3*a + 8 = 70*f, 4*a + 4 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 3*t - 37 = -24, t = 4*a + 7. Let c = -3 - 0. Sort a, c, -42 in ascending order.\nAnswer: -42, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = 11*p**3 + 18*p - 11*p + 12 + 10*p + 9*p**2. Let l(j) = -7*j**3 - 6*j**2 - 11*j - 8. Let d(u) = 5*g(u) + 8*l(u). Give d(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 661 minutes before 6:30 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 1192281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -27*j**4 - 25*j**4 - 4*j**3 - 31*j**4 + 26*j**4 - 414 + j**4 + 2*j wrt j.\nAnswer: -672*j**2 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 62678 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) be the third derivative of -h**7\/840 - 7*h**6\/360 - h**5\/20 + h**4\/4 - 5*h**3\/3 + 11*h**2. Let u(n) be the first derivative of d(n). Give u(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1506444, -1506443, -1506442, -1506441, -1506440, -1506439?\nAnswer: -1506438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -1 > 111580?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1827020755 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1341 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*m - 1 + 1 - 1 + 1 + m + (-3 + 2 - 1)*(-3*m + 4*m + m) + 3 - m - 3)*(2 - 3 - 2)*(2 + 1 + 1) + 11*m + 16*m - 3*m.\nAnswer: 120*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -157910 divided by 66\nAnswer: -78955\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -90*w - 160*u - 191 = -93*w - 873, 0*w + 2*w + 5*u = -8 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3.779 + -3.7. Let y = -62.921 - o. Let h = y - -62.9728. What is h rounded to three decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -85 - x**2 + 91 + 15*x**3 + x**2 in the form p*x**3 + s + v*x + w*x**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 5*n + 10. Let k(p) = 4*p + 9. Let o(q) = -5*g(q) + 6*k(q). Let m be o(2). Let f = -1 - m. Which is bigger: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 504662007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -186.80944 times 12\nAnswer: -2241.71328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*s**2\/7 - 128308*s + 2694450\/7.\nAnswer: 2*(s - 449075)*(s - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-8\/9))**(-1) assuming u is positive.\nAnswer: u**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -48800 or -48852?\nAnswer: -48852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) be the second derivative of g**5\/20 - g**4\/4 - 2*g**3\/3 - g**2\/2 + 128*g - 1. Calculate u(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3 - 3*(-16)\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 0.0091701 months?\nAnswer: 0.000764175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 0.1 times 0.06047\nAnswer: 0.006047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - -12 - 7 - (-2 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/190*2175\/(-2610)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1014.4 - 1014.8. What is the second biggest value in -2, h, -3.27?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -13728727.999144 + 13728850. Let s = i - 122. Round s to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 49 + -32. Calculate the remainder when v is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 95 and (-147)\/245 - (-506)\/10?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1225 and 140840.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k be (2 + -16)\/(-1) - 16\/(-12). Suppose g**3 + 52\/3*g - 3\/2*g**4 + 16\/3 + k*g**2 = 0. Calculate g.\nAnswer: -2, -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k - 8 = 0, -5*r + 22 = -5*k + k. Suppose -x = -r*x + 185. Calculate the remainder when x is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38 = -2*m + 4*h, 11 = -3*m - 4*h - 26. Let q be (m\/(-6))\/(2\/4). Suppose c - d = 20, -q = d - 4. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4, -17, -50, -109, -200, -329?\nAnswer: -502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 4*c - 12 + c**3 + 19 + 4*c**4 + c**2 + c**3 in the form a*c**4 + v + j*c**3 + d*c + f*c**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-12)\/(-15)*(-70)\/196. Suppose 3*o = 4*o. Which is the fourth smallest value? (a) o (b) 1\/3 (c) k (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nknnnknkknnknnnn. What is prob of sequence kk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -410564, -410533, -410502, -410471?\n\"Answer: 31*o - 410595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 156876?\nAnswer: 2, 3, 17, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-5)\/(-20)*0)\/(8\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of m**3 - 500951*m**2 + 30086*m - 5.\nAnswer: 6*m - 1001902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 55 and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 688 - 685. What is the second biggest value in -2, w, 2\/13, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 0*h**4 + 0*h**4 - 39 - 2211*h**5 - h + 2201*h**5 wrt h.\nAnswer: -200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -k**2 + 3*k + 3. Let q be p(6). Let d = -5 - q. What is the derivative of -d*a**2 + 10*a**2 + a**4 - 1 wrt a?\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 27 divide 1791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 u when two letters picked without replacement from kufkfffkkkfkkf?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = 307.9 + -308. Sort -0.2, -3\/4, 4\/5, m.\nAnswer: -3\/4, -0.2, m, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (0 + 3 + -17)*-3. Let g = x + -31. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + 3 + (sqrt(10)\/sqrt(2))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 2179 = -487. Suppose 428*w - m*w = 15. Factor -75\/7*j - 1\/7*j**w + 125\/7 + 15\/7*j**2.\nAnswer: -(j - 5)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/5 in -125, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 1154513 * -282\nAnswer: -325572666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*sqrt(20)\/sqrt(4)*-6 + (-1*sqrt(55))\/sqrt(11) + 3 - ((sqrt(150) - sqrt(150)*-3)\/sqrt(6))\/(sqrt(20)*-5).\nAnswer: -153*sqrt(5)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -73\/916780 and -49\/464?\nAnswer: 106346480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1101\/(-31195)*(-100)\/45.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -90 and 603?\nAnswer: -54270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k be (2*-1 + -2)\/1. Let y(z) = z**2 - 9*z + 12. Let m be y(3). Let s be 0*(m\/k - 1). Solve s = 4*o - 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 7395 - 7381. What is the remainder when 104 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*m**4\/4 + 1020*m**3 + 57*m**2 - 12164*m - 16320 = 0. Calculate m.\nAnswer: -2, 4, 4080\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -5*z**2 + 2*z. Let g(i) = 5*i**2 + 6*i - 10*i + i - 1. Let p(v) = 2*g(v) + 3*r(v). What is the derivative of p(o) wrt o?\nAnswer: -10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1474\/7616 - 82\/697 and 93\/196.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*c + 6*b - 11*b - 10, 4*b + 8 = -c. Sort c, -7, -3, -1.\nAnswer: -7, -3, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -200 = -4*w - 24. Let o = w - 28. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -l**3 + 5*l**2 - 6*l. Let k be n(3). Suppose i + 9 - 5 = k. Let j be -2 + -4 + (i - -2)*-1. Put 4, j, -3, -5 in increasing order.\nAnswer: -5, j, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -228*a + 143*a + 2125 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/(192\/40)*-1*(-4)\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*n = -8*n + 5*m, 5*n + 16 = -3*m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -q**2 - q. Let a(j) = 1244*j**2 - 10*j. Let i(r) = -3*a(r) + 30*x(r). Let s(o) = -3*o**2. Determine i(s(f)).\nAnswer: -33858*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -4*o + 6. Let h be 2*-3*o\/(-12). Let f be 2 - -4*h\/(-4). Solve f*k = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -687289484*i**2 + 466761*i - 608?\nAnswer: -1374578968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = 16*g. Let c(l) be the third derivative of 0*l**3 - 86\/3*l**4 + 17*l**2 + 0*l + 0. Let b(k) = 3*c(k) + 128*i(k). Let s(z) = -3*z. Give s(b(q)).\nAnswer: 48*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1188281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1020916?\nAnswer: 2, 13, 29, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert -2320031 (base 9) to base 8.\nAnswer: -4617473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of 5 and 880.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/(20\/2))\/((-9)\/9).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3651074 years in millennia?\nAnswer: 0.0003651074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 4736 divided by -2368\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p - 21108 = 4*n, 16899 = -3*p - p + n. Let h be p\/(-11) + -1*1. Let v = -269 + h. Calculate the highest common factor of v and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 43c (base 14) to base 3.\nAnswer: 1011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 1788, 3372, 4940, 6486, 8004, 9488?\n\"Answer: -r**3 - 2*r**2 + 1597*r + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/(b*b*b*b\/b**(-1)*b*b))**36\/(b\/b**(-7)*b*b*b\/b**(3\/5))*((b*b**(-1\/4))**(2\/19))**(-1\/30) assuming b is positive.\nAnswer: b**(-86033\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -g**3 + 10*g**3 - 2*g**3 - g**3.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = 175 + -173. Solve -c*l = l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 589 minutes before 4:28 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at least -309\/13147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = 298 - -346. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -22*o**3 + 432*o**2\/5 - 408*o\/5 - 32\/5.\nAnswer: -2*(o - 2)**2*(55*o + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -45*l - 1. Let g(p) = 91*p + 3. Let y(s) = 13*f(s) + 6*g(s). Is y(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1999496 (base 10) to base 14.\nAnswer: 3a0972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be (10 + 8 + (-2 - 4))\/5. Suppose -2 + p*r - 2\/5*r**2 = 0. Calculate r.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find u such that 2*u**2 + 20*u + 18 = 0.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 107 = 4*d, -2*d - 3*p + 12 = -49. Suppose 110 + d = 2*a. What is the remainder when a is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -240344496642 - -0.1.\nAnswer: -240344496641.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Let c be 249\/36 + 5\/60. Solve 4*m - 5*r = c*m - 34, -2*m + 3*r - 9 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3666586966?\nAnswer: 2, 7, 261899069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -12 - 110333010?\nAnswer: -110333022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 89 - 9 = 5*f. Let b = f - 16. Suppose b*u + u = 77. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2 - (9 + -5))*3\/(-2). Solve 5 = v*q - n, -2*q + q + 4*n + 9 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 679\/5 or 137?\nAnswer: 679\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let 94*h**2 + 805786*h + 959952 = 0. Calculate h.\nAnswer: -8571, -56\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y be 15\/((2 - -3) + (-36)\/7). Is -105 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -56 - -55.932. What is b rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6984775?\nAnswer: 5, 7, 167, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 1\/5352438 and -25\/14.\nAnswer: 5352438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29 = 15*u - 104. Suppose 0 = -n - u*p + 472, 5*n + 3*p - 2316 = -0*p. List the prime factors of n.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a = -a + 16. Suppose 0*r + a*r - 2*j + 2 = 0, 0 = 5*r - 5*j + 5. Factor 0 + r*y**2 - 1\/2*y**3 + 0*y - 1\/2*y**4.\nAnswer: -y**3*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -20*r**3 + 3*r**2 + 31*r + 11. Let d(x) = 7*x**3 - x**2 - 11*x - 4. Determine -6*a(p) - 17*d(p).\nAnswer: p**3 - p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ptvvqkn. What is prob of sequence vtp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 993652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -5*k - 4. Let h(w) = 2*w. Determine h(a(p)).\nAnswer: -10*p - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = -7343\/6380 + 85\/116. Let p = -2\/11 + m. Let r = 0.0038 + 3.9962. Which is the third smallest value? (a) r (b) p (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -4 (b) -3 (c) -2 (d) 4 (e) -47\/2 (f) 2409 (g) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yx when two letters picked without replacement from yxjjbyxxxjxyyyybxyyx?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 5 - 1. Let a be -3*(0 + -2 + 1). Suppose a*w + 21 = 3*m, 4*m - m - 19 = 2*w. Which is bigger: m or s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*d**3\/3 - 609172*d**2\/3 + 17667670*d\/3.\nAnswer: -2*d*(d - 29)*(d + 304615)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -421.17 rounded to the nearest integer?\nAnswer: -421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 67*x**2 - 16*x + 19. Let y(f) = -94*f**2 + 24*f - 28. Let h(j) = 7*l(j) + 5*y(j). Find w such that h(w) = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1944756 and 29592.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y\/y**(2\/63))\/y**22)**(-3\/5))**7 assuming y is positive.\nAnswer: y**(265\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ggpzdgdgzq. What is prob of picking 1 d and 1 q?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mmtqqqqtmc. What is prob of picking 1 t and 2 m?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = t**2 - 26*t - 52. Let v be h(28). Solve -5*s + 3*o = -8 + 2, -v*o - 8 = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -s**2 + 10*s - 6. Suppose -6*x = x - 28. What is v(x)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f = f - 6. Suppose -2*b - 4*p = -f*p - 66, 0 = 2*b - 4*p - 48. Let m be (4\/(-3))\/((-20)\/b). Calculate the highest common factor of m and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) be the third derivative of w**6\/120 - 13*w**5\/60 + 17*w**4\/12 - 47*w**3\/3 - 204*w**2. Does 5 divide n(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 1 h when two letters picked without replacement from {h: 2, l: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = y - 2. Let s = -5 + 8. What is the lowest common multiple of (-5)\/((-10)\/s)*6 and x(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 7, z: 2, x: 9, l: 1, e: 1}. Give prob of picking 2 k and 1 z.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(10\/7)*x)**(-39) assuming x is positive.\nAnswer: x**(-663\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 25632 is divided by 25265.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u, 1 l, and 1 r when three letters picked without replacement from {r: 2, u: 1, v: 1, n: 1, l: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from {m: 3, l: 15}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -14\/5? (a) 4 (b) -1\/5 (c) 1\/6 (d) 1872\/349 (e) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:10 PM and 3:39 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 671365 divided by 95\nAnswer: 7067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.4 (b) -0.1952 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 562295432 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 54267203?\nAnswer: 54267203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*x + 4*x - 121 = 3*s, -25*s + 26*s + 227 = 4*x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + (-2 + sqrt(153) + -1*sqrt(153))*-4)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000095133722 rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 45 divide 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-4)\/(-2) + -5)\/(-1). Suppose -5*z - t*g = 14, -2*g + 0 = -4. Let k be (-2)\/(-4) - 11\/2. Sort k, 0, z in increasing order.\nAnswer: k, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 747216031 and 1849.\nAnswer: 1849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 112321002 - 153?\nAnswer: 112320405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Do 2085375 and 2085375 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9117, 9118, 9119, 9120?\nAnswer: 9121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*q + 27 + 19. Let z be ((-294)\/(-24))\/(2\/8). Let n = z + q. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in thirty-seven halves of a kilometer?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 49434228?\nAnswer: 2, 3, 1373173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*g*g*g**(-7))\/(g**(3\/2)*g*g))\/((g\/(g\/((g\/(g\/((g\/g**(-4))\/g))*g)\/g)*g))\/g*g**(1\/12)) assuming g is positive.\nAnswer: g**(-115\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find w such that -3*w**2 - 2586*w - 12855 = 0.\nAnswer: -857, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p be 244\/18 + (-1256)\/(-2826). Solve -2*a - 4*l + p = 0, -4*a = -0*l + l - 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -q**3 + 10*q**2 - 262*q + 2675. What is the remainder when f(10) is divided by (-2)\/(-3)*(-522)\/(-12)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = j - 35435, -4*j + 121644 = -h - 20106. Let b be j\/2*10\/(-66110). Let n = b + -1\/601. Calculate the common denominator of 43\/14 and n.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e, 1 x, and 1 u when three letters picked without replacement from {v: 1, p: 2, x: 1, e: 1, u: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1625 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5 - -3 - 24) + 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.14 (c) 4 (d) 5\/4 (e) 41\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express -2*m**2 - 4*m**4 - 3*m**3 - 85378 + 85378 in the form d*m + w*m**4 + l*m**3 + a*m**2 + j and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 t, 1 b, and 1 l when four letters picked without replacement from {j: 5, d: 3, t: 6, l: 2, i: 1, b: 2}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = -109\/3 + 215\/6. Let w be (-4)\/(-2)*(-1)\/(-2). Is w at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1053147767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*z + 2*v = 3*z, 0 = -3*z + 5*v + 13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.25 + -0.15. Let h = 7\/92 - -4\/23. Which is the closest to h? (a) 2 (b) j (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 132 + -131.9728. Let j = o - -0.4078. Round j to 2 decimal places.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -2*w - 5 + 9 + 10*w. Let b(d) = d - 3. Let n(p) = -3*p + 4. Let a(i) = -3*b(i) - 2*n(i). Calculate 14*a(j) - 5*l(j).\nAnswer: 2*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -i**2 + 2*i - 2. Let o(r) = -r**2 + r - 1. Determine -7*o(q) + 4*s(q).\nAnswer: 3*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = m**3 - 9*m**2 - 4*m + 8. Give q(10).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 2 - 3)*(6 + 5 + 4 - u)*((1 - 3 + 0)*(-2 + 2 - 2) + 1 + 3 - 6 + 5 - 19 - 8)*(-2 + 3 + 0).\nAnswer: -40*u + 600","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 28*c - 108. Let t be i(4). Solve -3*u + 2*u - t*s = 16, 2*u = 4*s + 28 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1771 - 1762. What is the highest common divisor of w and 576?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1037 and 129693.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -286*b + 220148 = 569*b + 340*b + 1147*b for b.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:35 AM and 6:20 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 437 is divided by 227.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1598977277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -5*n + 9, -5*l = 3*n + 691. Calculate the common denominator of 51\/4 and l\/18 - 2\/(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -3\/16 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 76, -5 in ascending order.\nAnswer: -5, -1, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1492610 and 2030.\nAnswer: 43285690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -384686*o**2 - 384689*o**2 + 769374*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -l + 11. Let n be f(6). Let a(r) = 2*r + 14. Let g be a(-6). Let q(u) = u**2 + 2*u**2 - n*u**g. Let b(o) = 2*o. What is b(q(d))?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(1\/2)\/(p\/p**(2\/9)))**(3\/2)*((p\/(p*(p*p**(-4\/3)*p)\/p*p))\/(p**(-6)\/p*p))\/((p\/((p\/(p\/((p**(-4)\/p)\/p)))\/p))\/p**5) assuming p is positive.\nAnswer: p**(23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = -21 - -22.3. Let b = 1 - t. Sort b, 1\/2, -4.\nAnswer: -4, b, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2030 = -62*n - 542. Solve n*g - 11*g + 26 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -2*x - x. Suppose -26 = -x*r + 29. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 510863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 48906.29us in nanoseconds?\nAnswer: 48906290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = 2*l**3 - l**2 + 2*l - 1. Let y be v(1). Let k(o) = -o**3 - o**2 - 2*o + 3. Calculate k(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -2714276 + -65420.\nAnswer: -2779696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.7 in -0.3, -192, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 101330468 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.079 - -0.07899786. Round j to 7 dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 251167156.\nAnswer: 2, 19, 1733, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 4*q**2 + 4*q + 4. Calculate the remainder when k(-4) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v - 15 + 7 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 594 and 99?\nAnswer: 58806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 92943474.\nAnswer: 2, 3, 13, 41, 29063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0 - 2. Let k be 4\/(-48)*(m + 0). Factor -1\/6*o**2 + 0*o + 0 - k*o**4 + 1\/3*o**3.\nAnswer: -o**2*(o - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 16) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -3 (b) 2 (c) -5\/4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z be (8*(-874)\/9936)\/((-2)\/12). Factor 0 - 4\/9*v**3 + 0*v + 0*v**2 + 14\/3*v**5 + z*v**4.\nAnswer: 2*v**3*(v + 1)*(21*v - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) be the third derivative of -19*r**8\/336 + r**5\/30 - 9*r**4\/8 - 136*r**2. What is the third derivative of g(c) wrt c?\nAnswer: -1140*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -25*-5*(-15)\/(-375)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 1073 divide 374784318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 33.34 to the nearest integer.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = s**3 + 7*s**2 - 3*s - 20. Calculate k(-8).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-255)\/108)\/(7 + -9) and -59\/244?\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve j = 23*h - 234, 5*j - 2*j = 17*j + 56 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*s - 3 + 3)*(1 + 4 + 1)*(8 - 7*s - 8).\nAnswer: -126*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -7\/60 and 113\/732.\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*(-15)\/(-35)*(-4)\/(-6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xkf when three letters picked without replacement from fkffffxfkxfxffkfkf.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Multiply -4 and -417.05.\nAnswer: 1668.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4b9 - -2?\nAnswer: -4b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lml when three letters picked without replacement from llmmlllll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*o - z + 15 = -6*z, 128*z = 124*z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.0409 + 0.3279. Let s = -0.387 + k. Which is smaller: s or -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.91 take away 0.04?\nAnswer: -0.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*w - 110 = w. Let l = w - 17. Let z(s) = 2*s + 2. Determine z(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = t + 12. Suppose -3*j - o = 4*o - 30, 3*j - 30 = 5*o. Let u be 5\/(-1)*12\/j. What is the least common multiple of 11 and d(u)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -17536*z. Let h(a) = 169*a**2 + 4. Give h(x(s)).\nAnswer: 51969409024*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1437773 milligrams in kilograms?\nAnswer: 0.0000001437773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1671*a**5*z**2 - 619*a**5 - a*z**2 + 4*a*z - 12070*a wrt a.\nAnswer: -33420*a**3*z**2 - 12380*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -87 + 65.4. Let n = -25.08 - x. Let c = n - -0.48. Sort c, 1, -2, 5 in descending order.\nAnswer: 5, 1, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 7 - 469?\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -37*d**4 + 18700*d**3 - 4*d - 47803836 wrt d.\nAnswer: -148*d**3 + 56100*d**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand -28*u - 51*u + 33*u + 2*u - 2*u + 2*u + u - 2*u - u + (-4*u + 0*u + 2*u)*(5 + 1 - 4) + 3*u - 4*u + 0*u - u - 3*u + 0*u.\nAnswer: -55*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wuww when four letters picked without replacement from {f: 2, w: 4, u: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*h**2 + 11*h - h + 83*h + 54*h to the form x + r*h + v*h**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -1.664480862 rounded to 4 dps?\nAnswer: -1.6645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (-28)\/84 - 16\/(-30)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00096037346 to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -163\/660 and -53\/6320.\nAnswer: 208560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r = 567 - 567.00303. What is r rounded to four decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -c. Let f(h) = -40*h + 1. Let s(d) = d - 1. Let n(t) = f(t) + s(t). Let g(r) = -8*r. Let v(y) = -11*g(y) + 2*n(y). Give q(v(u)).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4 + 5*(1 + sqrt(288))*4 + sqrt(288) + sqrt(288) + sqrt(288) + -3 + (sqrt(288)*-2 - sqrt(288)) + sqrt(288) + (sqrt(288) + 1)*-2)*-5)**2.\nAnswer: 216600*sqrt(2) + 2608225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4.004 - 0.004. Let a be (-8)\/(-10)*(-6 - -1). What is the second smallest value in a, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 145721 - 4*r - 145721.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 31 + 5 + -24 + -5 + (1 - (-2 + -40))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*q**2 + q**2 - 7*q**2 - 673*q.\nAnswer: q**2 - 673*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 6) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 143.382 kilometers?\nAnswer: 143382000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 0.5 times 3.7363\nAnswer: 1.86815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 146361.\nAnswer: 3, 48787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.4468 + 0.0468. What is the closest to 2\/11 in -0.5, -2\/9, y, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 117784391 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 82*b + 42*b = 52*b + 216. Let x(s) = -s - 1. Let y be x(-4). Solve -2*d - b*v = -7*d + 3, -y*d + 5*v - 11 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-9)\/(-306)*((-82)\/4 + 10\/20)?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.0397027 * 0.27.\nAnswer: 0.010719729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 2*z + 1. Let i(o) = -o**2 + 10*o + 5. Give 2*i(a) - 11*k(a).\nAnswer: -2*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 59*v**3 + v**2 - v - 1. Let u be t(1). Suppose u = -18*k + 20*k. List the prime factors of k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) be the first derivative of 21 + 0*m**2 + 2\/3*m**3 + 0*m + 1\/5*m**5 - 3\/4*m**4. Factor b(w).\nAnswer: w**2*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = m**3 + 16*m**2 + 32*m + 60. Calculate w(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -1835064 divided by 231?\nAnswer: -7944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 2*p**3 - 3*p**2 - 27*p - 27. Let h(w) = w**3 - w**2 - 14*w - 14. Let s(j) = 11*h(j) - 6*u(j). Calculate the remainder when 31 is divided by s(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 508602 and 7482?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 20 + -17 + (1 - 1) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 5976038 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/7? (a) -35 (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 115 minutes before 9:36 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 368 and 354663772?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*m - 48 - 33. Let o be (-9)\/(-216)*4*-6654. Let k = -1091 - o. Calculate the highest common divisor of k and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 34597?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Product of -5696 and -24390.\nAnswer: 138925440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 1892783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-1\/10)*t**(-1))**(33\/7)*(t*t**(-4\/7)*t*t**(-6))**14 assuming t is positive.\nAnswer: t**(-4843\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*z = 3*k - 68, 127*k - 129*k = -2*z - 22 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Add 1112 and -4327330765.\nAnswer: -4327329653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1397 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is ((19 - 32) + 34 - 15) + 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 156 and 636.\nAnswer: 8268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2931069.6 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-2\/87)*r)\/r**(-12)*r\/(r\/r**(2\/23)*r*r)*r*r*r**(-6\/13) assuming r is positive.\nAnswer: r**(327827\/26013)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = x**2 - 13*x + 1. Let u(n) = -9*n + 49. Let m be u(4). Determine a(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 - 4 = 2*c. Find the first derivative of 11*l + 2 + 2 + c wrt l.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qqqqq. Give prob of picking 4 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -5*d**3 + 3*d**2 + 3. Let p(h) = 4*h**3 - 4*h**2 - 4. Let x be (102\/(-30) - -3)\/(3\/(-45)*2). Calculate x*p(z) + 4*l(z).\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 2539, 5109, 7689, 10279, 12879, 15489?\n\"Answer: 5*m**2 + 2555*m - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1331) + (-2 + sqrt(1331))*-2.\nAnswer: -11*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -5*y**3 + 5*y**2 + 17. Let a(d) = -4*d**3 - 8 - d**3 - 2*d**2 + 7*d**3. Let v(h) = -7*a(h) - 3*r(h). What is v(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 2*f**3 - 2*f**2 - 2. Let y be q(2). Suppose -5*o = y - 26. Let r(t) be the first derivative of -t**4\/4 + 4*t**3\/3 - t**2 + 5*t + 17. Determine r(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -0.0289, 1, 0, 20, 3, 0.3, -266?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 377941 and 6394?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand 9*x**3 - x**3 - 5*x**3 + (6 - 3 + 1)*(-1 + 0 - 1)*((-x - 4*x + 4*x)*(-4*x**2 - 2*x**2 + 3*x**2) + 4*x**3 + 7*x**3 - 4*x**3).\nAnswer: -77*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*j - 7 + 7)*(-60 + 60 + 12*j) + 0*j**2 - j**2 + 2*j**2 + (-j - j + 4*j)*(0 + j + 0) + (5*j + 0*j - 4*j)*(0 + 0 + 1)*(j - 5 + 5).\nAnswer: 76*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 921 minus 0.033?\nAnswer: 920.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) be the first derivative of 17*c**3\/3 - 12*c**2 - 9*c - 24. Let g be q(-11). What is the hundreds digit of 2\/6 + g\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**(3\/4)\/(j*((j\/j**25)\/j*j)\/j)*j**10*j**(2\/25)\/j assuming j is positive.\nAnswer: j**(3383\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v*v\/v**(-1\/4))\/v**(1\/4))\/((v*v**(2\/37))\/(v*(v\/((v**(-2)\/v*v)\/v))\/v)))**(-40) assuming v is positive.\nAnswer: v**(-7320\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/2, -31, -1, 4, 1\/21 in increasing order.\nAnswer: -31, -1, 1\/21, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -0.7, 226, 2\/7 in descending order.\nAnswer: 226, 2\/7, -0.7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -4*i**3 - 2*i**2 + i + 2. Let h be m(-1). Calculate the highest common divisor of 27 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = o**3 + 9*o**2 + 8*o + 1. Suppose 5*y - 49 = 5*p - 2*p, 4*p + 4*y + 12 = 0. Let g be m(p). Solve -g = 5*a - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-86 - 2)\/((-1)\/2). What is the third derivative of 16*t**2 - 350*t**6 + u*t**6 + 205*t**6 wrt t?\nAnswer: 3720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 36*h - 27*h + 36 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*p**5\/5 + 18416*p**4\/5 + 42430448*p**3\/5 + 169500864*p**2\/5 + 169427232*p\/5.\nAnswer: 2*p*(p + 2)**2*(p + 4602)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 18\/54*-4 + (-61)\/(-12).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:07 PM and 10:57 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = 1204*r + 609. Let p(b) = -2420*b - 1216. Let g(n) = -2*p(n) - 5*v(n). Differentiate g(x) with respect to x.\nAnswer: -1180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 4, w: 5, e: 2, t: 2}. What is prob of picking 1 t and 2 w?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00054138 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -204, -193, -180, -165, -148, -129?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1010010010 - 100?\nAnswer: -1010010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (sqrt(7) + -1 + 5)*-5.\nAnswer: -19 - 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (-15 + -11)\/((-60)\/(-15))*(-72)\/26?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.1, -2\/19, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(275) + (-4 + sqrt(275)*-1 + sqrt(275))**2)*4 + -3)*-1 + 0.\nAnswer: -20*sqrt(11) - 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3 - -4. Let j = -4.5 - -1.5. What is the nearest to j in 0.1, g, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*w**2 + 0*w**2 + 3*w**2)*(7*w**2 - 5*w**3 - 7*w**2) - w**5 + 0*w**3 + 0*w**3.\nAnswer: 4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 142, 174, 206, 238, 270, 302?\n\"Answer: 32*v + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -10774*f**4*k - 4*f**2*k + 390*f*k - f wrt f?\nAnswer: -258576*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 5794 - 5732 - (0 - -141)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -789 + 2*n - 2*n + 397 - 11*n**2 + 388.\nAnswer: -11*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-1)\/1 - -7 - 2. Let u = 8 - 0. Solve 0 = -5*m + 4*n - 0 - 8, z*n - u = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 10021200011 (base 3) to base 2\nAnswer: 1111110010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in fifteen quarters of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 22858113 is divided by 3297.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 5662*z**3 - 7 - 11344*z**3 + 5653*z**3 - 9 in the form f*z**3 + m*z + l*z**2 + b and give f.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in -10140, -17280, -24420, -31560, -38700?\nAnswer: -45840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + sqrt(720) + ((sqrt(720) + 0 + sqrt(720))**2 - sqrt(720)).\nAnswer: 2881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 17.65778 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v = -13*p + 14*p + 4, -16 = 5*v + 4*p. Let w(y) be the first derivative of v*y**2 + 6\/5*y**5 + 0*y - 3\/4*y**4 + 4 - 1\/2*y**6 + 0*y**3. Factor w(f).\nAnswer: -3*f**3*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 3*1 - 0\/1. Let o(r) be the second derivative of -r**4\/12 + r**3\/6 - r**2\/2 - 136*r + 8. Determine o(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be -114*3\/((-9)\/(-2)). Let n be g\/12 + 2\/(-3). Let s(l) = -l**3 - 8*l**2 - 8*l - 3. List the prime factors of s(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-22)\/(-5) - (-6)\/(-15). Let k(o) = -7*o**3 + 11*o**2 + 11*o - 1. Let p(x) = 4*x**3 - 6*x**2 - 6*x. Let c(v) = -3*k(v) - 5*p(v). Give c(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 255 minutes before 12:26 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 53.5 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -15 times -477371?\nAnswer: 7160565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/((s\/(s\/(s*s**5)*s))\/s)*s*s*s\/(s**(-1\/6)\/s*s))\/(s**(1\/5)*(s*s**(2\/5))\/s) assuming s is positive.\nAnswer: s**(-13\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-192)\/(-476) - 4\/34. What is the closest to 3\/13 in -5, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/((-4)\/(-4)))\/((-3)\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 119078177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 0.4080613 micrometers?\nAnswer: 0.0004080613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 57356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 21041006807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.08 - 4.92. Let z = 3174 + -3584.3. Let g = z - -410. Which is the third biggest value? (a) g (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*m**3 - 5*m**3 - 16*m**3.\nAnswer: -26*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = -36 - 32. Let t = n - -48. What is t rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*y + 3*g + 71, 3*y = -2*g + g - 41. Let c = 66 + y. What are the prime factors of c?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) be the third derivative of -b**4\/24 - b**2. Let k(j) = -j**2 + j - 1. Let w(m) = -3*m**2 - 4*m + 4. Let r(g) = -4*k(g) - w(g). Determine r(n(v)).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (368\/(-230))\/((10\/20)\/((-25)\/780)).\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 5929406 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 18730157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 s and 1 p when three letters picked without replacement from {p: 2, s: 5, g: 6}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2530 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the second derivative of -p**7\/168 - p**6\/15 - 11*p**5\/40 - p**4\/2 - 3*p**3\/8 - 45*p - 2. Solve n(k) = 0 for k.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + p - 3)*(-2 + 2*p + 2) + 3*p**2 + 1 - 1 + (p - p - p)*(-p - 5 + 5).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-7 + 75\/20)*8. Let b(v) = -v**2 - 41*v - 387. Let g be b(c). Let l(m) = 2*m. Suppose -6*t + 3*t = 15. Let q(y) = 3*y. Determine g*q(u) + t*l(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve q + 16 = -4*f, -40*q + 37*q + 17 = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3.4 + 1529352.56.\nAnswer: 1529349.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 9100 and 1638?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 116533?\nAnswer: 116533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1\/(-3) + (-208)\/(-12). Let d = -14 + m. Let s(n) = -n**2 + 4*n**2 + 2*n**2 - d*n**2. Let c(f) = f. Calculate s(c(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 584 minutes before 5:41 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/3? (a) 1 (b) 2 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = -43 + 51.1. Let s = 3.1 - i. Suppose -2*b + 4*b = 5*a + 35, 2*b + 2*a = 0. What is the biggest value in s, 0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p = -26 + 61. Let u = p - -29\/4. Which is the second biggest value? (a) 3 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2 - (32\/12 + 8\/(-12)). Suppose -5*f = 4*b - 28, -18 = -4*f - b - o*b. Solve -2*z = -z + k - 1, 3*z + f*k = 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.14 * 0.11.\nAnswer: 0.0154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is de4 + 0?\nAnswer: de4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k be -25 + 0\/(-1 + -6). Let u = 504 - k. Calculate the highest common divisor of 46 and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 1692, 3994, 6922, 10482, 14680, 19522?\n\"Answer: a**3 + 307*a**2 + 1374*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1 - -5. Let w(f) = 3*f - 5 - 4*f - i*f + f**2 + 3. Determine w(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 34\/10 + (-4)\/10. Suppose -5*j + 18 - r = -2*p, -2*j + 2*p + 12 = 0. Let q = -3 + j. Let t(a) = 2*a**2 + 2*a + 1. Let u(n) = n. Determine q*u(b) + t(b).\nAnswer: 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -2*a**3 + 10*a. Let z(k) = k**3. Let x(j) = -i(j) - z(j). Find the second derivative of x(c) wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pee when three letters picked without replacement from phepeeeeeeppee?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 0 = 34. Let b = c + 113. Let h = b + -48. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*w - 5*w - w + (1 - 2 + 0)*(-w + 0*w - 3*w)*(-2 + 2 + 2).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*v + a - 20, -7*v + 4*a = -4*v + 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 123 - 2103 = -99*p. Solve 10*t - p = 15*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -525088 + 52088. What is s rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + 1 + -5 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1553825641710881.0000073 - 1553825513556317. Let x = -128154421 + u. Let h = -143 + x. Round h to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 2*w**2 + 192*w - 259314. Determine x(315).\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 404628 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 462 - 26*n - 462 in the form k*n + a and give k.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -a**2 - 10*a - 163. Determine q(-23).\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((40\/(-5))\/2)\/(30\/(-5)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 470*t**3 - 6*t**2 + 39*t - 2. Is i(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 0*w - 4*w = -2, -3*w = 3*v - 12. Let a(r) = -v*r + 4*r - r**2 - 2*r. Let s(u) = 6*u**2. Calculate s(a(m)).\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g + 4*t - 21 = 0, g + 16 = -3*g + 3*t. Let r = 229 + -1611\/7. Is r less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -89*t**2 + 4*t + 1. Let z(s) = 88*s**2 - 5*s - 1. Give -5*d(n) - 4*z(n).\nAnswer: 93*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*j + 13*j = 15. Suppose 13 = 4*z + 5*r, 19 = 3*z + z + j*r. What is the tens digit of (-2*z)\/((-8)\/28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 90 + (-108 - (19 + -9)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 69 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -10*r**3 - 4*r**2 - 3*r + 3. Let v(d) = 9*d**3 + 3*d**2 + 2*d - 3. Let k(q) = -6*n(q) - 7*v(q). Let u = -19 + 17. Is 13 a factor of k(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/52, 2\/7, 1.7 in decreasing order.\nAnswer: 1.7, 2\/7, -1\/52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) be the third derivative of i**3\/3 + i**2. Let k(u) = -u + 3. Let h(l) = 1. Let j(t) = -3*h(t) + k(t). Let a(x) = 3*j(x) - p(x). Calculate a(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = 58*u**2 - 2. Let f = -219 + 222. Is x(f) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -393*c - 64 + 785*c - 393*c in the form x*c + t and give t.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5 - 10. Let x = r + 1. Let i = -2 - x. Is 2 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 385481 is divided by 751.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2856375*g**3*j + 2507969*j wrt g?\nAnswer: 8569125*g**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1571 - 1539. Calculate the remainder when 90 is divided by u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**2\/y*y**(-7))**(1\/12)*(y**1)**39*(((y**1\/y)\/y)\/y)**(-5\/21) assuming y is positive.\nAnswer: y**(1637\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 308 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**10\/((p\/(p\/((p\/(p**(-6)\/p))\/p)))\/p))**(-3\/8) assuming p is positive.\nAnswer: p**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(-2*sqrt(720) + 2 - (sqrt(720) + sqrt(720) + sqrt(720) + 1 + -1 - sqrt(720))) + ((sqrt(720) + 2)*-1 - (-3 + sqrt(720) + -4)))**2.\nAnswer: -1008*sqrt(5) + 25969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z = 4, -t - t = 4*z - 1374. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 16808*f - 9467. Is g(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 42 + -37. Let v be 1 - -10097 - (-8 + 30\/r). Round v to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 47*t**2 + 2*t + 1. Suppose -3*y - 17 = 2*j + 2*y, 0 = j + 4*y + 13. Calculate the remainder when n(j) is divided by ((-5)\/(-10))\/((-1)\/(-24)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 6\/(-4) - (-11 - 637\/(-14)). Let r be ((-24)\/v)\/((-3)\/(-6*3)). Solve 4*o + 20 = r*t - 20, 5*t + 5*o = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 19 = 3*b, -10 = -5*o + 3*b + b. Sort 2, 0, 3, o in decreasing order.\nAnswer: 3, 2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4*h**5 - 660*h**4 - 31428*h**3 - 326572*h**2 + 424200*h + 720000 = 0. Calculate h.\nAnswer: -75, -16, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:18 AM and 4:27 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express 1600*q - 4*q**2 + 2 - 6*q**3 - 1607*q - 3*q**3 in the form w*q**2 + c + a*q**3 + t*q and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -h**2 + 7*h + 46. Calculate j(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*j**4 + 4*j**3 + 8*j**2 - 4*j - 6 = 0 for j.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -6*h**3 + 3*h**3 - 2 - 95*h - 97*h + 191*h - 12*h**2 as v*h + u*h**3 + n*h**2 + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j**2\/7 - 30*j\/7 - 36\/7 = 0. What is j?\nAnswer: -6, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 10 (base 4) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(-4*(sqrt(17) + (sqrt(17) - sqrt(34)\/sqrt(162))) - (-2*sqrt(170)*3)\/sqrt(10)))**2.\nAnswer: 13328\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 6 + -8.2. Let h = 422.84 + -425.0323. Let l = h - g. What is l rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -612907516\/285 + 2150548. Let r = b + 2\/95. Let f be 4\/(-10) - (1 + 13\/5). Is f greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3866143 or -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -28403, -113565, -255495, -454193, -709659?\nAnswer: -1021893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -2 at least 591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -33 - (11 - -21 - 77)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -2*r - 18. Let h be t(-6). Let c be 39\/12 - h\/8. Suppose c*s - 13 = 3. Solve s*v = -0*v + 3*p + 18, 3*v - 3*p - 15 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 0 = -676559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 + 1 + 4 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-2)\/(1\/((-2)\/4)). Let u(k) = 2*k - 12. Let b(a) = 6*a - 36. Let z(h) = 3*b(h) - 8*u(h). Let f be z(8). Put 2, l, f in descending order.\nAnswer: f, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 27*a**2 + 65*a - 27. Let t(z) = -11*z**2 - 29*z + 12. Let o(w) = 4*f(w) + 9*t(w). Let d(c) = 9*c. Determine o(d(p)).\nAnswer: 729*p**2 - 9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 1, 2.5, -31, -0.4, -4?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 145 minutes before 1:14 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -10*y**5 + 6*y**4 + y + 1.\nAnswer: -200*y**3 + 72*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -x**2 + 23*x - 52. Let g be q(20). Suppose 2562 = 14*p - g*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) be the first derivative of 0*t + 0*t**3 + t**2 - 1\/3*t**6 + 2 + 0*t**4 + 0*t**5. What is the second derivative of b(l) wrt l?\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -74*p - 95*p - 4*p + 10*p as r + c*p and give c.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -8 + 16800?\nAnswer: 16792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 882145 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t be (12\/(-8))\/(1\/2). Let k = -34\/3 + 12. What is the smallest value in -5, k, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -3*x**2 + 5*x + 7. Determine v(-3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -4*m**2 - 2 + 3*m + m**2 - 2*m. Let f(s) be the second derivative of 0 - 13*s + 1\/3*s**4 + 3\/2*s**2 - 1\/6*s**3. Give 2*f(h) + 3*o(h).\nAnswer: -h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 10 = 2*t, 5*t + 25 = -0*w + 2*w. Suppose 0 = -2*b - o + 7, -4*o + 11 = b - 5*o. Suppose 3*r + 0 + b = w. Sort 1, 5, r in decreasing order.\nAnswer: 5, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -9*u**2 - 8*u. Let a(h) = -575*h. Calculate k(a(y)).\nAnswer: -2975625*y**2 + 4600*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c - 2*z - 3 = 0, -5*z = -19 + 4. Let j(p) = p + 3. Let d be j(c). Let k(s) = -s + d*s - s. Let h(l) = -2*l**2. Give k(h(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = -d - 9 + 69, d + 48 = 4*o. Let y(r) = -20 + o + 8 + r. Let b(x) = x**2 + 4*x. Give b(y(a)).\nAnswer: a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = -12175 - -14169. What is the remainder when p is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express ((0 - 4 + 2)*(1 - 1 + 2) + 6 - 18 - 25)*(3*p + 1 - 1)*(-3 + 0 + 4) as k + o*p and give o.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sum -4 and -153.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 2*t + 16 = 0. Let p be (-354)\/t + (-15)\/120. Let z = p + -17. Which is the closest to 0.4? (a) -0.1 (b) -0.3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**3 - 16*q + 13 + 9*q**2 - 10*q + 2*q**3 + 2*q**2 + q.\nAnswer: (q - 1)**2*(q + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2\/32747 - 98249\/130988. Which is the nearest to -3\/251? (a) 0.2 (b) 3\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1146650078 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is ((2\/(-36))\/((-6)\/(-24)))\/(1*3)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 925*v + 1865. Give t(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 11322322 (base 4) in base 6?\nAnswer: 304134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 0 = 2*y + 2, -3*y - 4 = 5*u. Suppose 8*c + c = 18. Is 9 a factor of y\/(c + 21\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and 3009 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from nyiykngkt?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 449636 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x = 37 + 56. Let d be (x - 9)\/(6\/500). Round d to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -172437*j**3 + 181786*j**2 wrt j.\nAnswer: -1034622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 2192 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - 295 = -283. Solve 5 - 4 = -u, 3*u = -x*z - 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -149*m - 36. Let j(l) = 50*l + 13. Calculate -11*j(g) - 4*u(g).\nAnswer: 46*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 104 is divided by 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -391\/783185 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 4687320 and 30?\nAnswer: 4687320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ht when two letters picked without replacement from {t: 3, i: 3, h: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/(-3)*(735\/5880)\/((-5)\/4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 40 + -116. Let k = r + 76.0039. What is k rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-140)\/(-42))\/(-3 - 77\/(-21))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = w**2 + w - 4. Let d = -13 - -31. Let m = -15 + d. Give i(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = z**2 - 11*z + 20. Let r be n(9). Solve 9*a = 4*a - 4*p + 2, 19 = -r*a + 5*p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 15*l - 28. Let n be z(2). Suppose -3 = -2*x - 1. Solve 0 = g + n*b - x, g + g - b = -8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 432*d**4 - 94824*d**3 - 2171844*d**2 - 15882910*d - 38322374.\nAnswer: 2*(d - 241)*(6*d + 43)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = 1 - 2, u - l + 16 = 0. Let a(o) = -o**2 + o - 1. Let d(c) = 4*c**2 - 5*c + 6. Let h(t) = u*a(t) - 3*d(t). Factor h(w).\nAnswer: 3*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 42 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5 - 6. Let p(d) be the third derivative of 1\/8*d**4 + 0 + 0*d - 10*d**2 - 1\/6*d**3. What is p(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3283259208 divided by -6.\nAnswer: 547209868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l = -4*l + 126. Suppose -3*b + 53 = q, 5*b - 34 = 3*b - 2*q. What is the greatest common factor of b and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 17160 and 220.\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let -3*x**4 + 48381*x**3 + 435603*x**2 + 1113339*x + 726120 = 0. Calculate x.\nAnswer: -5, -3, -1, 16136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve x + 2*o - 3427624 = -3427604, -3*o = 12*x - 261 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-78693)\/7293 + 11 + (-2)\/(-13). Factor -4\/11 + 2\/11*a**3 + j*a**2 - 2\/11*a.\nAnswer: 2*(a - 1)*(a + 1)*(a + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*s*s**0*s*s*s**3*s)**(1\/18) assuming s is positive.\nAnswer: s**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -2*r**2 - r + 60. Let o(a) = -10613*a**2 - 8*a + 298. Let t(n) = -4*d(n) + o(n). Find the second derivative of t(m) wrt m.\nAnswer: -21210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -18 + 11. Let s = d + 18. Let l be 9 + -9 + -1 + s. Solve 0*m + l = -5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5 + -2. Let m = 5 - q. Let g be 94\/(-329)*(175\/45)\/(-5). What is the third biggest value in g, m, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 432.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -4*w + 9. Suppose 4*x + 3 = -117. Let o be ((-42)\/(-4))\/((-2)\/(-4)). Let s = x + o. Let r(p) = -2*p + 4. What is s*r(g) + 4*q(g)?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:59 AM and 3:05 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - (-1 + 59 + -32)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 111804456 divided by 18634076\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 1, -6, 2\/11, 0.3, 5769?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 4*r + 3*v - 637 = 0, 3*r - 4*v = 1872. Suppose j - r = -107. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: cc4 (base 16) to base 9\nAnswer: 4431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5244*t**3 - 2558*t**3 - 1775*t**3.\nAnswer: 911*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = -8886 - -8917. What is the remainder when 520 is divided by a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 238407094.\nAnswer: 2, 119203547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -774cb9 - 10?\nAnswer: -774cc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 3 k when four letters picked without replacement from skky.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 6420013.7 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4 + -3. Let r = -18250 - -18258. Solve 5 = -3*c + r*c, -k = 5*x - c for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 52, -5, 1337, 1, 5, -1 in decreasing order.\nAnswer: 1337, 52, 5, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2 - -5. Let z be 1354\/4 - c\/(-6). Suppose z = 2*x + x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-16)\/40*1*(-3 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -23*w + 58*w + 3 - 32*w + w**2. Let s be g(-3). Solve k - s*k = 2*x - 4, 0 = -5*k + 5*x - 30 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(-1)\/d)**(-32)*d\/d**5*d**(1\/4))\/(d**(-6)*d\/(d*d**(-10)))**(6\/19) assuming d is positive.\nAnswer: d**(4483\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (85 + 17 - 2 - 12)*(20*f**3 - 10*f**3 - 3*f**3)*(-3 + 1 - 1).\nAnswer: -1848*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -381985, -3056036, -10314209, -24448564, -47751161, -82514060?\n\"Answer: -382010*q**3 - q**2 + 22*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 293426105 to the nearest integer?\nAnswer: 17130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = j + 12. Let q be (-29)\/3 - 2\/j. Let t = q - -13. Solve t*g - f = 21, 2*f - 2 = -3*g - 0*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 33\/5 of a gram in milligrams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = -259 - -271. Is -14*((-606)\/t - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand z + z**2 - z + (5*z + 0*z + 2*z)*(-5*z - 19 + 19).\nAnswer: -34*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 62 a factor of 118662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 56\/84293 and -111\/8536.\nAnswer: 674344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -p + 4*p + 2208. Let z = 8090\/11 + p. Which is the third smallest value? (a) z (b) 2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -290*k*t**2 + 767*t**2 wrt k?\nAnswer: -290*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.8 - 0.9. Suppose 14*f = -n + 74, 2*n + 4 = 5*f - 13. What is the closest to w in n, 47, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000493 rounded to 6 decimal places?\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 98 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 3\/15 + (-111)\/185\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 2*g**3 - 19*g**2 - 27*g - 62. Calculate n(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 7794.9 + -7794. Let h = -0.4 - -0.2. Let x = h + 0.1. What is the second biggest value in -1\/4, x, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 16\/(-192)*-4*-24\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -61 + 65. Solve -o = -a*p + 10, -2*p = 4*o - 7*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-1)*o)**0 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = -7 + 10. Which is the closest to 1\/2? (a) x (b) -0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 26 = 58. Suppose -305 + 33 = -34*o. What is the least common multiple of c and o?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-882)\/(-945))\/(4*(-10)\/50)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -13391000 rounded to the nearest 100000?\nAnswer: -13400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = -11 + 19. Suppose -5*u = -z*u - 36. Let p = 20 + u. 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 17\/4 of a meter in centimeters?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*h**2 + 43487 + 2*h**2 - 46984*h**3 - 43487 + 46985*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9 + (-3 + (10 - 6) + -3 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/6 + 0)\/((-9909)\/(-810) + -12).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:13 AM and 1:32 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (-2285 - 20349 + 4436)*(0*n**2 + n**2 - 3*n**2) in the form u*n**2 + o*n + v and give u.\nAnswer: 36396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is aa6 - -3?\nAnswer: aa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 4 - 3)*(-3*o**2 + 0*o**2 + 4*o**2) + (-124*o - 128*o + 38*o)*(-4*o + 3*o + 0*o) as h + u*o + p*o**2 and give p.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -65\/8212 and 51\/40?\nAnswer: 82120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18 + 10 - 330*k + 8.\nAnswer: -330*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p + 3*u = 15, -5*p - 3*u - 1 = 56 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*u**4 + 2*u**2 - 2*u - u**3 - 13*u + 12*u to the form j + d*u**4 + m*u**2 + t*u**3 + q*u and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1 + 2. Is (3 + -24)\/n*(-2149)\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16 = 6*t - 10*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 18.3 - 126.3. Let d = u - -107.9886. Round d to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5766, 5, -1\/3 in ascending order.\nAnswer: -5766, -1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = 85 - 89. What is the biggest value in 5, n, -5, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) be the third derivative of -a**5\/30 - a**2. Let s(u) = 34*u**2 + 23*u + 18*u**2 - 23*u. What is s(i(n))?\nAnswer: 208*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4702 is divided by 188.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o - 5*o = 0. Let s(y) = 20*y**2 + 0*y - 138*y**2 + o*y. Let f(q) = -2*q. What is f(s(u))?\nAnswer: 236*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -54, 13, -5, -1, 1\/58, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = n**2 - n. Let a(y) = 92*y**2 - 4*y. Determine 3*a(d) - 12*t(d).\nAnswer: 264*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 67932229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 98182380*t**3 - 3432*t**2 - 1360 wrt t?\nAnswer: 589094280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0\/5 + 18\/2. Suppose -4*y = -11 - m. Solve -4 = -b + z, y*z - 12 = -5*b + 18 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = k**2 + 4*k + 2. Let s be o(-3). Put 2, 5, -6, s in ascending order.\nAnswer: -6, s, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 2*j = -16. Let i be (j\/(-2))\/(-2 - -1). Suppose -s + 0*u + i = -2*u, 3*s = 2*u + 18. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -110366 and 0.4?\nAnswer: 110366.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -m + 4*u - 28, -835169 = m + 8*u - 835213 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) be the second derivative of 9\/2*l**2 - 25\/4*l**3 - 3\/20*l**6 + 33\/8*l**4 + 0 - 44*l + 1\/14*l**7 - 39\/40*l**5. Find w, given that k(w) = 0.\nAnswer: -3, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.59 * 0.031\nAnswer: 0.01829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 435170 is divided by 423?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gbgnffqbppbqpq. Give prob of sequence gnpq.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -m**3 + 70*m**2 + 70*m + 77. Determine r(71).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 44.3088 milligrams?\nAnswer: 44308800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -w**3 + 3*w**2 - 3*w. Let n be j(1). Suppose -216 = 4*l - 0*l. Is l\/(-2) + n\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6974 times 0.3?\nAnswer: 2092.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 50\/3791 and -28\/221.\nAnswer: 49283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) be the third derivative of -d**8\/168 - 3*d**7\/10 + d**5\/5 + 11*d**4\/12 + 396*d**2. What is the third derivative of n(b) wrt b?\nAnswer: -120*b**2 - 1512*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 3024034322 - 3?\nAnswer: 3024034314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 0 + 0)*(33 + 1 - 5)*(-1 + 1 + 2*j) + (-j + 3*j - 3*j)*(4 - 1 - 1) - 2*j + 1 - 1 to the form r*j + u and give r.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*f**3*z**3 + 17243372*f**3*z + 2*f**2*z**3 - 6*f**2*z - 2*f - 436*z**3 - 66*z wrt f.\nAnswer: -12*z**3 + 103460232*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -n**2 - 57957*n + 4003793. Give v(69).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -100*v**3 + 3860*v**2 + 1556*v + 156.\nAnswer: -4*(v - 39)*(5*v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -22760334 divided by -10953\nAnswer: 2078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*a = -7*n - 113 + 128, 5*a = -4*n - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) be the second derivative of -2*g**6\/45 + g**5\/15 + 7*g**4\/9 - 26*g**3\/9 + 4*g**2 + 4*g - 19. Let u(l) = 0. What is l?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 610248 is divided by 448?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3304?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -3*z**2. Let k(i) be the third derivative of -i**4\/24 - 17*i**2. Let t(u) = -2*u. Let q(w) = 3*k(w) - t(w). What is n(q(x))?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -e + 5ed?\nAnswer: 5df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -1155765, 1, -2 in decreasing order.\nAnswer: 1, -2, -1155765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - k + 7 = -a, 0 = 5*k - 15. Suppose 2*r - j - 4 + 2 = 0, r - 2*j + a = 0. Suppose r*d = -3*x + 307, 0 = 2*d - x + 2*x - 309. Does 31 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4220938?\nAnswer: 2, 2110469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 11 or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1201 - -222121010210?\nAnswer: 222121002002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -r**3 - 4*r**2 + 4*r - 7. Let p be d(-5). Let b = 267 - 263. Let w = b + p. Solve 0*s = -w*s - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(-2)\/(v*(v**(-7)\/v)\/v*v)*((v**8\/v)\/v*v)\/v**(3\/2) assuming v is positive.\nAnswer: v**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 119765 and 53805?\nAnswer: 75811245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 21559682 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*h**3\/5 - 339204*h**2\/5 - 9588279468*h\/5.\nAnswer: -3*h*(h + 56534)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5365057219 to the nearest integer?\nAnswer: 73247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 1, p: 3, w: 3, c: 5}. What is prob of picking 3 c?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Determine x, given that -3*x**3\/8 + 7023*x**2\/8 - 819771*x\/4 = 0.\nAnswer: 0, 263, 2078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find m, given that -4*m**5 + 116*m**4 - 772*m**3 - 1012*m**2 + 776*m + 896 = 0.\nAnswer: -1, 1, 14, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 14*h + 54. What is the units digit of v(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24411319199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3373235*f**4 + 2*f + 1013345?\nAnswer: 40478820*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -37 - -39. Let x = -2 - h. Let p be 0 - -3*(-4)\/36. Which is the third smallest value? (a) p (b) 0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 5, -0.1, 0.3, -3.4, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -27.4224 to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out 69904002959 - 0.1.\nAnswer: 69904002958.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 14969586 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let 4*v**2\/3 + 7084*v + 148568\/3 = 0. Calculate v.\nAnswer: -5306, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = 10731\/5 + -2120. Let u = 24 + 2. Let s = f - u. Which is the closest to -2? (a) 2\/3 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*p + 6112 - 41512 = 0. What are the prime factors of p?\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.0694 + 2434.4306. Let s = -2433.69989 + o. Let g = 0.8 - s. What is g rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-88)\/28 + (-1)\/(-7) + 11 + 3. Solve -p*r - 125 = -70 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-15)\/6*8\/(-10). Suppose 0 = q*f - 3*v - 72, 2*f - 3*f + 4*v + 36 = 0. Suppose -67 = -4*p - p + 4*a, -3*p + a = -f. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c\/(c\/(((c\/c**3*c)\/c)\/c)))**(-10) assuming c is positive.\nAnswer: c**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -41\/559 and 11\/1877681.\nAnswer: 1877681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -n**3 + n + 50. Let a be o(0). Let x = -34 + a. Solve 0*v - x = -4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/21*o**3 - 62*o - 38\/7*o**2 + 9610\/21.\nAnswer: -2*(o - 5)*(o + 31)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose c - 2*i = -52, 5*c - 3*i = -8*i - 290. Let p = -34 - c. Calculate the greatest common divisor of p and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m**25*m\/m**(-1\/8))\/(m**4*m**(-8)*m))**(-46) assuming m is positive.\nAnswer: m**(-5543\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3460194, -3460189, -3460184, -3460179, -3460174?\nAnswer: -3460169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1754 = 88*s - 974. Solve s*w = 37*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -352026 divided by 4293\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.0274 - -4.9726. Let k = 3.99 + -1.99. Which is the second smallest value? (a) g (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*i - 112430*u - 99 = -112435*u, 5*i + 5*u = 135 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 236345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1300*f**6 - 3*f**5 + 4*f**4 - 164766*f**2 - 2*f.\nAnswer: -156000*f**3 - 180*f**2 + 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 5*q**2 - 6*q - 5. Suppose h - 66 = -h. Suppose -4*v - v + m + 37 = 0, h = 5*v + m. Let u be i(v). What is the greatest common divisor of 18 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) be the third derivative of -59*i**2 + 0*i**3 + 0*i + 0 - 5\/24*i**4. Let s(w) = -6*w. Determine f(s(r)).\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = -3*y + 2*y + 3, -6 = -2*y. Let j(d) = -3*d + 6. Let h be j(4). Let g be (2\/(-6))\/(h\/36). Solve g*z + 2 - 8 = s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -591 take away -1616.6?\nAnswer: 1025.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = -8886995 + -49317551. Let c = 113004544 + u. Suppose -4*t - z - c = 0, -6338780 - 7361212 = t + 4*z. What is t rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - b - 229 = -3*b, -4*b = -4*y + 200. Calculate the remainder when y is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kee when three letters picked without replacement from {e: 3, k: 15}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + (sqrt(162) + -2 - sqrt(162)))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*p - 38*p**3 - 22*p**3 - 80*p**3 - p.\nAnswer: -140*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*((sqrt(68)*2*4)\/(sqrt(16)\/(sqrt(4)*1)) + sqrt(187)\/(sqrt(99) - sqrt(99)*-6 - sqrt(99) - sqrt(11))*5).\nAnswer: 282*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**6*h\/(h\/(h*h\/(h\/(h\/h**23))))*h)**(-15))**(-16) assuming h is positive.\nAnswer: h**(-3360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 133\/60 and (-3 - 42\/(-10))\/((-64)\/145)?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 36*r**2 - 5*r + 4. What are the prime factors of c(1)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2268044 divided by -8.\nAnswer: 567011\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-870 + 444 - 154 - 2682)*(w**3 + 0*w + 0*w + (3*w**2 + w**2 - 3*w**2)*(4*w + w - 4*w) - w + w**3 + w).\nAnswer: -9786*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 906, 1169, 1612, 2229, 3014, 3961, 5064, 6317?\n\"Answer: -b**3 + 96*b**2 - 18*b + 829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 2000 = -2*o - 13*o. Let r = -78 + 132. What is the remainder when o is divided by r?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*g = 11*g - 90, 4*q + 3*g - 88 = 142 - 160 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 14*t**2 + 31*t + 1. Let m(x) = -10*x**2 - 30*x - 3. Let l(w) = 4*m(w) + 3*u(w). Let y be l(14). Solve 0 = -y*d - 2*o - o + 13, 2*d - 3 = o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = d + 10 - 15. Suppose 0 = 2*n - 5*v, -4*n - v = -d*n. Let o(i) = -2*i + 6*i**2 - i**3 + n*i + i**3 - i**3. Give o(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-one fifths of a decade in months?\nAnswer: 744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -68, -306, -700, -1244, -1932, -2758, -3716?\nAnswer: -4800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -64*l - 14909. Give a(-233).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, 9, 2, -5.\nAnswer: -5, 2, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*z + 2*k - 22, 2*z + 8 - 42 = k. Solve 0 = 3*h + 5*m + 10, -3*m - z = 4*h + 2*m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 41*y = 5*y - 288 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c be 63\/(-5) - 3\/(-5). Let a = c + 12. Is a > -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 33a61 (base 11) in base 15?\nAnswer: e898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 4551, 35990, 121331, 287526, 561527, 970286?\n\"Answer: 4492*p**3 - p**2 - 2*p + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(33)\/sqrt(3) + -4 + (sqrt(11) - (sqrt(99)*1)**2) + (1*sqrt(110) - sqrt(110))\/sqrt(10) + sqrt(176).\nAnswer: -103 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = -22 - -13. Let p = -8 - r. Let l(j) = -5*j**2 - j. What is l(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (163 - 718 - 1428)*(s + 4*s - s).\nAnswer: -7932*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-14)\/6 - 3) + 4. Sort j, 3\/7, -3 in decreasing order.\nAnswer: 3\/7, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1392064 divided by -3?\nAnswer: -1392064\/3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Let i be (2\/(-12))\/(8\/(-16))*6. Suppose -k = i*d - 36, -11 + 83 = 4*d - 5*k. Calculate the remainder when (-2)\/8 + 250\/8 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = h**3 + 11*h**2 + 7*h - 21. Let i be f(-10). Solve -5*q - 2*p = 3 + i, -4*p = 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 231905 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 48563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = 77 - 122. Let d = 72 + r. Let m be (-3)\/(2\/(0 + -12)). Calculate the greatest common factor of m and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12226547 is divided by 73?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(1\/6)*p\/(p\/(p\/(p\/((p*(p*p\/(p*(p\/(p\/p**(-6\/11)))\/p*p*p))\/p)\/p))*p)))\/(p**(7\/2)\/(p\/p**0)) assuming p is positive.\nAnswer: p**(-59\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1.9 + 5.6. Let j = 1022 + -1018.8. Let t = j - s. Which is the smallest value? (a) t (b) -2\/9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 9 + -6. Let j = 2.6 - k. Which is the nearest to -1\/2? (a) j (b) -0.1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 2196\/(-48)*(-2)\/(-12) and -19\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -23121 - 2?\nAnswer: -23123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -161732, -161758, -161784?\nAnswer: -161810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 6181381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-20*i**2 - 71*i**2 + 6*i**2)*(-3*i**2 + 4*i**2 - 3*i**2).\nAnswer: 170*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = 3847*y - 24604. Give w(6).\nAnswer: -1522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 = j - 0*j. What is the remainder when (-830)\/8*(-20)\/25 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h = -4*u + 36, -5*h - 2*u + 35 = u. Let s(p) = -p**2 + 4*p + 3. Let m be s(5). Let q = -260873 + 260875. Put -3, q, m, h in increasing order.\nAnswer: -3, m, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-28)\/(-21)*-11*309\/(-206).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve b - 4*s = -4, -112*s + 34 = 7*b - 109*s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = u**3 + u**2 - u + 1. Let h(g) = 5*g**3 + 4*g**2 - 3*g - 41. Let v(j) = -h(j) + 4*o(j). Suppose -7*l = l. List the prime factors of v(l).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(1377))**2 + 0.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*5*sqrt(187) + sqrt(187) + (sqrt(187)*-2*5 - sqrt(187)))\/((sqrt(88) - sqrt(88)*-3)\/sqrt(8) - -6*(sqrt(11)*4 + sqrt(11))).\nAnswer: 10*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 3*28\/12 - -1 and 106?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 2*i + 1079 = 2*v, -1616 = -3*v - 4*i. Calculate the least common multiple of 6 and v.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 6924430*o**6 + 2*o**4 + 8301647*o**2.\nAnswer: 830931600*o**3 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -13012 + 13011.64516. What is c rounded to three decimal places?\nAnswer: -0.355","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 minutes after 12:57 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h be 0 + -2 - -6 - -2. Suppose 5*k - 24 + 9 = c, 0 = -2*k + 5*c + h. List the prime factors of 13\/k + (-2)\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 990759089 to the nearest integer?\nAnswer: 31476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*i + 2*i + i)*(0*i**2 + i**2 - 4*i**2)*(675*i**2 + 337*i**2 - 622*i**2 + 386*i**2).\nAnswer: -2328*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (-1 - 17\/(-25))\/(2\/(-5))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 810494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -6*y + 50. Let n(i) = 11*i - 127. Let p(a) = 2*n(a) + 5*r(a). Determine p(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s + 60 = -20. Suppose -4*r + 125 = 5*o, 4*o + 5*r - 6*r = 100. Let q = o - s. Sort -2, q, -5.\nAnswer: -5, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + 2*y = -5*x - 5, -5*y = 4*x + 7. Let p be 9\/(-3) + 105 + y. What is the greatest common divisor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 235, 223, 203, 175, 139, 95, 43?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37 + 12 = -z + 5*v, -4*z = 2*v + 10. What is the third smallest value in 2, z, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 14*n**3 + 1306*n**2 + 2911*n - 99. Calculate i(-91).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*l + 10 + 2 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -19.1 - -18. Let c = 0.1 + g. Let w be 3\/5*(-104)\/(-156). What is the closest to c in -2, w, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -17 + 6 - (2 + -6) - -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 89\/323520 and -7\/776448.\nAnswer: 3882240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.0157 - 0.1157. What is the nearest to -25 in l, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*d**2 + 2426*d - 4844.\nAnswer: -2*(d - 1211)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.102 from -234.8.\nAnswer: -234.698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 602 + 631056?\nAnswer: 631660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = 4*q + 25. Let v(j) = -10*j - 59. Let i(g) = -7*o(g) - 3*v(g). Let x(w) = 2*w + 2. Determine -6*i(b) + 5*x(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 929 is divided by 111.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-24)\/20*-5 + -3. Suppose -r*z + 4*h = -632, 2*z = -0*z + h + 418. Does 26 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 189014 - 189013.98. Let m = 0.7 - -0.3. Which is the closest to r? (a) m (b) -3\/5 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -24 (base 9) to base 10\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1484178 times -0.5?\nAnswer: -0.0742089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + -249.63.\nAnswer: -247.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-38)\/95*(-405)\/(-18)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -u**3 + 218091*u**2 - 10030023*u - 10248115.\nAnswer: -(u - 218045)*(u - 47)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -74*q - 27*q - 463 - 1860 = 0 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l be -2 - 4\/(-2) - -4. Let n be l\/((-12)\/(-9)) - -2. Suppose n*y + 5*u + 47 - 147 = 0, y - 5*u = -4. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + (sqrt(243) - (sqrt(243) - (sqrt(243) + -2)))*5)**2.\nAnswer: -1260*sqrt(3) + 6271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = t**2 + t - 1. Let s be q(1). What is the derivative of s - 3*a**2 + 56*a - 56*a wrt a?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i\/(i\/(i\/i**1)))\/i)**(19\/2)\/(i*i**(1\/4))**(-36))**(18\/5) assuming i is positive.\nAnswer: i**(639\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -145*x**2. Let y(o) be the first derivative of -o**2\/2 - 35. Determine y(t(w)).\nAnswer: 145*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1650 and 10?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 41254 (base 6) to base 16.\nAnswer: 1582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1381, -2742, -4091, -5428, -6753, -8066, -9367?\nAnswer: -10656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1538830273?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -41, -89, -213, -449, -833, -1401, -2189?\n\"Answer: -6*b**3 - 2*b**2 - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 + t)*(20 - 13*t + 14*t + 2) + 3*t**2 - 6*t**2 + t**2.\nAnswer: -t**2 + 22*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1964 + -876. Let t be 4\/26 + s\/26. What is the highest common divisor of 63 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4974 = 48*r + 65*r + 1019. Solve 39 = -4*v + r for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + -3 + -9 + 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 56 and 176.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 2*i - 24 + 5*i**3 + 2*i**4 - 3*i - 3*i**2 - 9*i**3 + 0*i**3 - i**3 in the form t*i**4 + c*i**3 + q + g*i**2 + m*i and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*o**2 - o**4 + 2 - 3*o + 2*o**2 - 2*o**3 - 12*o**2 + 2*o**2 to the form b*o**2 + t*o + p*o**4 + z*o**3 + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-10*p + 13*p + 4*p)*(3*p - 3*p + 3*p**2)*(3 + 6 - 3) to the form k + w*p + f*p**3 + g*p**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 8 + 3)*(5 + 0 - 3)*(4 - 4 - 2*d)*(-4*d + d + 4*d)*(2 - 225 - 4).\nAnswer: 9080*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Let n(a) = a**3 + 9*a**2 + 6*a - 11. What are the prime factors of n(-6)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (328*f - 705*f + 2 - 673*f - 263*f)*(2*f - 6*f + 2*f + (3 + 0 - 4)*(-3*f + 3*f + f) - 2*f - f - 2*f).\nAnswer: 10504*f**2 - 16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 1 h when two letters picked without replacement from thdnw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r\/((r*r\/r**(-19))\/r))\/(r\/r**19) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2\/(-4)*(-4)\/1. Suppose -z*u + 33 = -77. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 16, 15, 4, -23, -72, -149, -260?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 12783.59 years?\nAnswer: 1278.359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (2 - -26) + 11 + -1 + 60 + -70?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2 - 1. Let i = 99 + -493\/5. Let q = 37\/60 - -1\/20. Which is the nearest to d? (a) i (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be -1 - -19*1\/1. Let j = n - 11. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 386.86 and -106.\nAnswer: 280.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Determine d so that -d**2\/8 - 1233*d\/2 - 345131\/8 = 0.\nAnswer: -4861, -71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 40252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3703 (b) -4 (c) -151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j - 3 = 57. Let c be (j\/(-18))\/((-1)\/(-21)). Suppose -3*t + 27 + c = s, -4*t = -2*s - 68. Solve f = 4*q - 4*f - 12, 5*q = -5*f + t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5859252?\nAnswer: 2, 3, 7, 23251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-160)\/(-12))\/(-10)*(-2)\/12. Put 0.5, -30\/59, r in ascending order.\nAnswer: -30\/59, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -11003013 (base 4) to base 5\nAnswer: -1130204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 110 (base 3) in base 6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/7, 0, 0.5, -3\/2 in decreasing order.\nAnswer: 0.5, 0, -1\/7, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z be (7 - (-23)\/(-2))\/(3\/(-4)). Suppose z*r = -95 + 335. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 44 + -43. Sort -4, t, 0, 2 in decreasing order.\nAnswer: 2, t, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 7*x. Let g(d) = 9530962*d. Give g(p(v)).\nAnswer: 66716734*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 33 + -8 - 656\/24?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = 2*h**2 + h - 1. Let j = -5 - -5. Suppose s = 5*x - 6, j = -x - 4*s + s + 14. What is the smallest common multiple of x and g(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -101 + (13 - 6 - 2 - 11 - 4).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/(-504)*6)\/((-116)\/5104).\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-5)\/(-15))\/(2\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (1197\/(-45) - -9)\/((-1)\/20).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 624 minutes after 4:25 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.22 + 0.76. Let t = v - 0.04. Which is the nearest to 1\/4? (a) t (b) 2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -114 = -q - 44. Suppose -b = c + 30, -3*b + c = -22 + 132. Let i = q + b. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -0.1, 68, 208, 0.5, -1\/4, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 17388\/5940 - (-1)\/(-5) and 2\/(-5) - 678\/105.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 93517 less than or equal to -790?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = 26244280009\/8406 - 3122089. What is the common denominator of 32\/21 and x?\nAnswer: 58842","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.689953 rounded to 2 dps?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*i - 2*y - 4, 2*i + 3*y = -y - 6. Let v(w) = -w**3 - 3*w**2 - 2*w. Let z be v(i). Solve z*n = 2*n + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -z**3 - 7*z**2 - 9*z - 10. Calculate j(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -5*h**5 + 2*h**2 - 5*h. Let s(d) = -10*d**5 + 5*d**2 - 9*d. Let c(n) = -2*s(n) + 5*t(n). What is the second derivative of c(v) wrt v?\nAnswer: -100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -31 - -29.31. Let z = f - -9.69. What is the closest to z in -1, 0.1, -3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -7216 - 39440293.\nAnswer: -39447509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 23637, 47561, 71485, 95409?\n\"Answer: 23924*p - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 68311249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Let x = -0.25 - -0.245. What is x rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.01205192 rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -21 = 8*f - f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 11 = -4*u + 47, -2*u + 3*m = -18. Suppose -4*d + 50 = -5*w, 2*d + 20 = -0*w - 5*w. Calculate the remainder when 104\/(-6)*9\/w is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*p**5 - 250*p**4 + 158038 - 158038 + (-2*p**4 - 2*p**4 + 3*p**4)*(3*p - 3*p + 3*p).\nAnswer: -5*p**5 - 250*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = u**2 + 22*u + 29. Let t = -7697 - -7679. Give w(t).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g**3 + 164*g**2 - 214862*g + 2340976 = 0. Calculate g.\nAnswer: -376, 11, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let -5*y**3 - 10*y**2 + 40*y = 0. Calculate y.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 52*c + 307. Let g be o(-6). Sort g, -4, -2, 31 in increasing order.\nAnswer: g, -4, -2, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 10\/((-30)\/8 + 4). Suppose -v = -2*b - a, -b + 3*b + 3*a = 36. Is 14 a factor of b*((-4)\/(-6) - 4\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y = 123*v - 120*v - 34, -57 = -5*v + 2*y. Solve -2*t - v = -p, 3*t + 29 = 5*p - p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2)\/(-8) + 2\/(-8). Let w be -4*964\/24 + -4. Let x = w + 166. Which is bigger: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2009378747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 4.6 equal to -2615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2847588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -322*d + 167*d + 164*d.\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = j**3 + 16*j**2 - 25*j - 11. What are the prime factors of k(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -1746 by -6.\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = -803 + 12574. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**0*s)**(-16\/5)*(s**(2\/7))**(-21))**(-9\/5) assuming s is positive.\nAnswer: s**(414\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2, 0, 23, -497\/129?\nAnswer: -497\/129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 31 + -63\/2. What is the third smallest value in 4, -0.1, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from mrrrrm. What is prob of picking 4 r?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = 27609 - 27574. Solve -2*d + 4 = -c - 9, 4*d = 5*c + p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 161 + -271.766746\nAnswer: -110.766746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -79, -51, -5, 59, 141, 241?\n\"Answer: 9*t**2 + t - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be 12\/(-64)*4 - 7\/(-4). Solve -2*r + r = y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 - 0) + 7 + -39 + 31.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5 and 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 148954 and 5178342?\nAnswer: 88031814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*g = g - 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = v**3 + 2*v**2 - v - 3. Let j(i) = i**3 - 49*i**2 + 49*i - 46. Let s be j(48). What is q(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 56 + -21. Suppose -f = -0*t - 5*t. What is the remainder when (-1 - 26)\/(-1 - 0) is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/7, -58, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.223 or 153?\nAnswer: 0.223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 7 - 4)*(-4*g**2 - 3*g**2 + 5*g**2) - 2*g + 2*g - 3*g**2 + (-2 + 3 + 0)*(12*g**2 + 2*g**2 + 26*g**2).\nAnswer: 39*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/47, 3, -3 in decreasing order.\nAnswer: 3, 2\/47, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 102233 (base 5) to base 4\nAnswer: 311303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = c**3 + 2*c**2 + c + 1. Let i(l) = -7*l**3 - 24*l**2 - 2*l - 11. Let y(w) = -i(w) - 6*o(w). What is y(-12)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -19107813 to the nearest one hundred thousand.\nAnswer: -19100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4568, 4566, 4564, 4562, 4560, 4558?\nAnswer: 4556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 543 * -36773.5.\nAnswer: -19968010.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 96844 and 16040?\nAnswer: 388344440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 2*c - 9. Let z be v(6). Suppose 1 + 1 = s, -z*s = -4*u + 6. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = h - 2*n - 63, 5*h + 3*n = 7*n + 315. Let j = h + -43. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -120 + -12?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2775, 22222, 74983, 177714, 347071, 599710, 952287?\nAnswer: 1421458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 8? (a) 185 (b) -5 (c) 0.3 (d) 147 (e) 3 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1.4 times 11.5?\nAnswer: 16.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y be 7 - 7\/(28\/8) - 3. Factor -27*o - 3*o**y + 2*o**2 + 48*o.\nAnswer: -o*(o - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 30219365?\nAnswer: 5, 11, 549443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 47330559 != 520636140\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 294\/70*40\/(-60)?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 5040\/19 or 266?\nAnswer: 5040\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -c**3 - 55*c**2 + 37*c - 745. Let o be x(-57). What is the highest common divisor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 22 - 23. Let p = 68 - 202\/3. Which is the nearest to k? (a) -3\/4 (b) p (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*x + 3*x - 2. Let h(z) = -x - 2 + 5. Let g(u) = -2*u + 0 - 3 - 1. What is g(k) + 3*h(k)?\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = 55 - 387\/7. Let i be -2 + 3 + 14\/(-18). Which is the second biggest value? (a) v (b) i (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -3*j**2 + j + 1. Let f be c(2). Calculate the common denominator of -85\/22 and f\/36 + 430\/(-24).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*u - 4*u + 0*u)*(-2*u + 0*u + 0*u) + u**2 + u**2 + 0*u**2 + (3*u - 2*u + u)*(8*u - u + 0*u) to d + k*u + s*u**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 4*o**2 - 1 + 280840*o - 280840*o.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(931)*-2 + 1 + sqrt(931) + 3)**2 + -1)*1.\nAnswer: -56*sqrt(19) + 946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = 3*y**2 - 23*y - 1852. Calculate the remainder when m(35) is divided by 171.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -34353 divided by 32\nAnswer: -34353\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -12323 + 10031010?\nAnswer: 10012021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -7*a**2 + 42*a + 51. What is f(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0 and -2051.187?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -6441 + -2?\nAnswer: -6443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 u and 1 m when four letters picked without replacement from {r: 1, s: 4, g: 1, u: 3, m: 8}.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -j + 5. Let o(y) = 2*y - 10. Let i(n) = -4*o(n) - 7*q(n). Let b be i(9). What is the units digit of (205\/(-10))\/(1\/b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2424)\/180 - -14 - (-1)\/(-3). Let g = 0.2 - 0.3. What is the closest to g in -2\/13, -3\/2, y?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-3)\/7)\/((-20)\/70). Which is the second biggest value? (a) 0 (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 909*f**3 + 0 + 0 - 897*f**3.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -4*z + 7. Suppose 2*p - 7 = -n + z*p, -p = -5*n + 35. Suppose -1 = b - n. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z = -z - 5*s + 16, 2*z - 8 = 5*s. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2\/49079891 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 7, 30, 71, 136, 231, 362?\n\"Answer: u**3 + 3*u**2 + 7*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be 92\/2 + 22 + -14. Suppose -67*h = -l*h - 65. Put h, 8, -1\/16 in decreasing order.\nAnswer: 8, h, -1\/16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-9*m + 5*m - 3*m)*(-2*m**3 + m**3 - 4*m**3) + 0*m**4 + 4*m**4 + 5*m**4)*(5*m - m + 2*m).\nAnswer: 264*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 167712 is divided by 57.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = c**3 - 7*c**2 - 3*c + 22. What is u(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 94, 211, 332, 457, 586, 719?\n\"Answer: 2*h**2 + 111*h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3 - 1. Suppose 7*m - d - 34 = 2*m, -11*m = -d - 76. Is m > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1032 (base 12) in base 14?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -4156 + 4156 + 2286*x + 31*x + 2*x - 3*x + 3*x + (1 - 1 - 2)*(1 - 1 + 2*x) + 4*x - 2*x - x.\nAnswer: 2316*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 147.4176ml?\nAnswer: 0.1474176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -j - 14. Let l be ((-2)\/(-3)*3)\/(4\/(-38)). Calculate the smallest common multiple of u(l) and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -182095 bigger than -182088?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 6326 or 18982\/3?\nAnswer: 18982\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -2\/21 (b) -0.2 (c) -10 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h - 68 = 4*a, -737*h = -a - 738*h + 9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4501802 rounded to 3 decimal places?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-56)\/(-392))\/((-1)\/4).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + 2*sqrt(32).\nAnswer: -3 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 2, u: 5, x: 5, r: 5}. Give prob of picking 1 u and 2 x.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1389493*f**3*q**3 + 11*f**3*q + 477*f**3 - 21*f**2*q**2 wrt q.\nAnswer: 8336958*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 39470 or -0.1?\nAnswer: 39470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -2 + -1133152?\nAnswer: -1133154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j be (29\/((-2233)\/66))\/((-3)\/56). Solve -j*a - 100 = 4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -12012012300 - 2?\nAnswer: -12012012302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a = 117329\/20 - 5861. Let t be (2\/(-6))\/(44\/1425882). Let y = -10798 - t. What is the common denominator of y and a?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 2, x: 1, j: 4, g: 4, f: 3}. What is prob of picking 2 j and 2 n?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 124*f - 706. What is the tens digit of l(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 283799.77 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (54\/(-108))\/((-3)\/(-1746)*-3).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -3, -24.4, -1, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7225046?\nAnswer: 2, 31, 116533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(2)*-1 + -3) + -1 + sqrt(8) + sqrt(50)*2)**2.\nAnswer: 352*sqrt(2) + 633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -8 - -16. Suppose 93 = f*g - 459. Suppose g = 3*i - 144. What is the remainder when i is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 4015*b + 843155. Determine d(-210).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 12767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = -6 + 6.1. Let s = 1652 - 1656. Which is the biggest value? (a) s (b) -1\/20 (c) -2\/3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7 - (8 + 3) - 2) + (0 - -28).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 35701?\nAnswer: 19, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 9194 and 50.\nAnswer: 229850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 21136*k**3 - 2*k**2 + 2*k + 4552 wrt k?\nAnswer: 126816*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 205 is divided by 43?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3621580 is divided by 260?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 5? (a) -35 (b) 2\/3 (c) -0.1 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -24 - -73\/3. Let g = 563 + -566. What is the third biggest value in g, -1\/4, w, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 26170.4504*0.5\nAnswer: 13085.2252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -18*w - w - 1840 + 23785. What are the prime factors of w?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 958\/6 - 2\/(-6). Suppose -3*k = -3*s + 123, 6*s = 2*s + 3*k + n. Is s\/(-3)*(-6 - -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 80459 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -0.2 + 1458784549\nAnswer: 1458784548.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 + 6*z - 5*z + 64.\nAnswer: z + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 - 7\/((-21)\/10)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*w = -2*w - 1024. Let b be (-4 + w\/30)*(-9)\/6. Let g be 117\/130 - (-6)\/10. What is the nearest to -1\/2 in -4, g, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 77 = 827*i - 838*i. Calculate the common denominator of -1\/12 and (-88)\/(-384)*-31 - i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 102 = -3*j, -2*h - 2*h + 76 = -2*j. Let o be (-4)\/6 + j\/(-84). Let r = 1215 - 1222. Is r greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 - (1 + (9\/(-4) - -5))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 5813 - 5808. Let z(u) be the first derivative of 6\/5*u**2 + 12\/5*u**3 + 0*u - 27 + 1\/10*u**6 + 39\/20*u**4 + 18\/25*u**o. Factor z(s).\nAnswer: 3*s*(s + 1)**2*(s + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 20 and 2606230180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -3, -4, -6, -51?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (66 - (-62 + 117)) + 4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 2 (b) 1 (c) -3 (d) 9 (e) 1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -12 times -0.022?\nAnswer: 0.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k + g = -16, 3*k - g = -3*g - 11. Put -187, -2, k, 1 in descending order.\nAnswer: 1, -2, k, -187","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 20*i**3 + 3*i**2 - 5*i - 31. Is k(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1 + -6)\/((-2)\/(-2)). Let q(y) = -y**2 - 2*y - 13. Let w(n) = n**2 + n + 14. Let s(m) = -6*q(m) - 5*w(m). Calculate s(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2462624417?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 204878*b**2 - 89*b + 60399735?\nAnswer: 409756*b - 89","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 0.031927*-0.6483\nAnswer: -0.0206982741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand d - 4*d + 6*d + (-200 + 392 - 39)*(1 - 3*d - 1).\nAnswer: -456*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -s**2 + s + 1. Let l be d(2). Let t = -1456 + 97. Let q = t - -69307\/51. Which is bigger: l or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) be the third derivative of l**5\/60 + l**4\/6 - 2*l**3\/3 + l**2. Let b be d(-5). Let q be 3 + (12\/2)\/b. Solve -q - 6 = 3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12173, -11593, -11013, -10433, -9853, -9273?\nAnswer: -8693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 243 minutes before 5:00 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 + (5 - 2 - (4 + -6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -489.0686 + 0.0686. Let z = -1321 - f. Let b = 828.63 + z. Round b to one decimal place.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 1271301 and 4712.\nAnswer: 1276013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 20 = -m. Solve -5 + 13 = -m*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 16468 and 10.\nAnswer: 82340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -95400000 to the nearest one million.\nAnswer: -95000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 1042928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 13.1565296 to one dp.\nAnswer: 13.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 407 is divided by 48.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 13 - -463?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.25, 2, -7, -1.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9 - 3) + 0 + -1 + 2 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10*y**4 - 9*y**4 - 8 + 103*y - 105*y to v + t*y + s*y**2 + f*y**3 + u*y**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 188 = 3*t, i + t - 21 = 15. Let q be 5 + -5 + -1 - 3. Let o be (1\/(-2))\/(q - 63\/(-16)). Calculate the highest common factor of i and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in -40, 24, -1\/11, 0.1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(8))**2 + 1.\nAnswer: -4*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fjffjhjirfhfhhj. Give prob of picking 1 i, 1 r, and 2 f.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 12543 times 5\nAnswer: 62715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + 32 + (15 - (38 - 27)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 e and 1 s when four letters picked without replacement from {e: 4, s: 15}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 0.22824814 - -18.8\nAnswer: 19.02824814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 75453709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 787*b**3*x**3 + 2*b**3*x**2 - b**3 + 3*b**2*x**3 + 786*x**3 wrt b.\nAnswer: 4722*x**3 + 12*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -139\/139260 and 7\/32358960.\nAnswer: 355948560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1742.965 - 1756. Let z = n + 0.035. Let k = -13.1 - z. Which is the closest to 0.5? (a) k (b) -0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -42 - (60 + -84) - (4 - 91)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -x**2 + 1. Let q be s(-1). Let p = 1978.65 - 1978.7. Are q and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12121 - -11101011110?\nAnswer: 11101101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -2009000 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 768*p - 123*p - 99 + 14934 = 0 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 2, g: 4, x: 7}. Give prob of sequence eg.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -21991827 divided by 563893?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -61, -119, -177, -235, -293, -351?\n\"Answer: -58*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -7365376 (base 8) in base 7?\nAnswer: -22444222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 2*d**3 + 25*d**2 - 45*d + 53. Is p(20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/(o\/o**(-1\/4)))\/o**27)**(-2\/21) assuming o is positive.\nAnswer: o**(109\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 5, k: 3}. What is prob of sequence ookk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -309, -351, -389, -423?\n\"Answer: 2*y**2 - 48*y - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 137*v = 136*v - 960. Calculate the remainder when (8\/(-10))\/(12\/v) is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2)\/(-1) - (4 + -5). Suppose g*h = -2*h - 3*x + 2125, -447 = -h - 5*x. Suppose 3*w = h + 211. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 545\/10*(-2)\/(66\/(-11115)). Let m = 18360 - i. Find the common denominator of (-93)\/2 + -2 - -2 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -u**3 + 103*u**2. What is j(103)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2343026 and 47096.\nAnswer: 9372104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 3030.592us in nanoseconds?\nAnswer: 3030592","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zzzzzz. Give prob of sequence zz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 184 minutes after 9:29 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-1\/2))**48*p*p**(-5\/2)*p**(2\/7)\/p)\/((p**(-2\/5))**(-7))**(3\/7) assuming p is positive.\nAnswer: p**(-1919\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) be the second derivative of -c**7\/2520 + c**6\/180 + c**5\/24 - 5*c**4\/12 - 25*c. Let m(h) be the third derivative of i(h). Factor m(n).\nAnswer: -(n - 5)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -295 - -299 - (-5 + -1 + 3 - -7 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: What is the square root of 15334 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 96b75 + -9?\nAnswer: 96b69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 2*t**2 + 74*t + 622. Let b be l(-23). Let o(d) = -d**2 - 25*d - 14. Determine o(b).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -640\/24069 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4933\/848 + -27\/106. Calculate the common denominator of g and -55\/56.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 2626*l + 2909. Is f(113) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8201 + 63352 = -3115*h - 9437 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) be the third derivative of 19*x**6\/8 + 84*x**3 - 442*x**2. What is the derivative of h(a) wrt a?\nAnswer: 855*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = w - 3*w, -z + 4*w + 9 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48*p = 16*p + 128. Solve -4 = p*u - 8*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 30325 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*v - 32 = -4*v. Let b(p) = p**3 + 4*p**2 - p. Let a be b(v). Solve 0 = 2*u - 6 - a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -910329 divided by -52.\nAnswer: 910329\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 21865 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3202 - -3621. Is 420 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1427665 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = l**3 - 8*l**2 + 7*l + 3. Let g be c(7). Suppose -x - g*x = -48. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k**42)**(-19)\/((k*k\/((k*k**(-10)*k*k*k)\/k*k))\/k)**48)**(2\/55) assuming k is positive.\nAnswer: k**(-2306\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -2*b**2 + 167*b + 2087. Determine g(95).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -w. Let z(v) be the first derivative of 199*v**2 - 75*v + 3 - 2 - 213*v**2 - v**3. Let h(b) = -2*g(b) - z(b). Determine u, given that h(u) = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*s**4\/7 + 192*s**3\/7 + 1098*s**2\/7 - 193492*s\/7.\nAnswer: 2*s*(s - 26)*(s + 61)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -8*a + 10*a. Sort -5, 4, a in increasing order.\nAnswer: -5, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -o**2 - 42*o + 355. Let g be m(7). Solve g + 3 = 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0 - -0.03. Let h = -42.97 - d. Let x = h - -37.9. What is x rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -60*w**2 + 1679*w + 5053. What is m(-3)?\nAnswer: -524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is r in -3*r**5\/5 - 936*r**4\/5 + 7626*r**3\/5 - 3456*r**2 + 81*r\/5 + 5184 = 0?\nAnswer: -320, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -265 = -10*j + 105. Suppose -2*p = j - 3983. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -15608, -15567, -15526, -15485, -15444?\nAnswer: -15403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -11702227 + 8288227. Round b to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -71\/420 and 109\/36.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 7852.51 rounded to the nearest one hundred?\nAnswer: 7900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 4497*w + 368. Let g(c) = 1499*c + 123. Let u(a) = -11*g(a) + 4*q(a). Is u(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 471357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6974 is divided by 367.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = -62.53 + 62.43. Which is the nearest to 2? (a) i (b) -3 (c) -424 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -677\/5 + 2032\/15. Let k(c) be the third derivative of 0 - n*c**5 + 1\/120*c**6 + 1\/6*c**3 + 0*c + 1\/8*c**4 + 9*c**2. Calculate k(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 + -3 + 4 - (3 + 5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -16 = 4*l - 4*t, l - 173 = -t - 187 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2 - 7. Let g be k*4*(-2 - -1). Let i be -4 + 4\/(-12)*(4 - 16). Solve i = -2*u - 5*m + 28, 0*u - 2*u - 3*m + g = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 28\/(-6) + 2\/3. Let w(b) = 3*b**3 - 2*b**2 + 2*b - 2. Let t be w(2). Suppose x = -2*i - 1, 8*i = 5*i + 4*x - t. Sort z, -1, i in descending order.\nAnswer: -1, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**0*v)**(3\/8)*v**(-1\/7)\/(v\/(v*v**(-1)*v)))**(-4\/15) assuming v is positive.\nAnswer: v**(-13\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 - 11) + (438 - 411)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -2*x + 43. What is s(29)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.1 * 2149.\nAnswer: -214.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 121.5675205 and -0.3?\nAnswer: 121.8675205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -2\/3 (b) -0.01 (c) 1\/6 (d) -55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -v**3 - 17*v**2 + 17*v + 3. Let f = 129 - 147. Let q be n(f). Suppose -1407 = -q*j + 14*j. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 2404*g - 79335. Let q be r(33). Let f(j) = j + 5. Let o be f(-7). Which is the closest to -2.6? (a) o (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 840*x + 167. Is t(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 125 - -10. Suppose -t + r = 4*t. What is the remainder when 105 is divided by t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -2 - (-80 + (2 - 1)). Let l be (-27)\/u - 6\/21. Suppose -4*t = -24, 13*m - 15*m - 3*t = -14. Which is greater: l or m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 8070 and 34785?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -2231 (base 11) in base 15?\nAnswer: -d0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = y**2 - 20*y - 55. Let z be p(25). Suppose -t + 5*q + 29 = -6, 0 = 2*t - 5*q - z. Solve -g - 2*g = -4*u + t, 15 = -2*g + u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7402 = 4*w + 5*j, -3*w + 5546 = -62*j + 63*j. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-4)\/((-10)\/(-14)*(-22)\/(-55)). Sort 2, h, -1 in ascending order.\nAnswer: h, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 241792179 divided by -281481.\nAnswer: -859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzrr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-96)\/(-72) - (12 - (-55)\/(-5)). Let x = -13 - -13. Factor x + d - z*d**3 - 2\/3*d**2.\nAnswer: -d*(d - 1)*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (0 - 2)*(6 + 17\/(-2)). Suppose 5*w + k = 4*k + 849, -5*w - r*k + 865 = 0. Does 19 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -u**2 - u + 1. Suppose 2*a = -0 + 8. Let k be ((-12)\/8)\/((-6)\/a). Let h be -5 + 7 - (k + -1). Determine w(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -w**3 - 14*w**2 - 7*w - 43. Is t(-14) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10439905 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 28052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j**2\/3 - 16*j + 2356\/3 = 0. What is j?\nAnswer: -31, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3105.22679 + -3123.2267893. Let x = 18 + s. Round x to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2434 and 999?\nAnswer: 2431566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1708 or 1661?\nAnswer: 1661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.06 in 0, -4, -22908, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 43361?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -2*b**3 - b + 23. Let u(z) = -7*z**3 - z**2 - 4*z + 77. Let n(r) = 10*i(r) - 3*u(r). Suppose -3*a - 2*t - 10 = 3, t = 2*a + 4. Give n(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 4 - -2. Let s = -2 + a. Let r(y) = -y**2 + 7*y - 2. Let j be r(s). Calculate the highest common factor of 15 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-12)\/(q\/q**(-1\/2)*q))**(-1\/16) assuming q is positive.\nAnswer: q**(29\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/236 != 0.0384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r = -73 - -66. Is (1028\/(-12))\/(r\/21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 47784889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2058 is divided by 46.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 213431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 19 = -21*f + 61 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/(-40)*20\/(-8)*16.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 6132 and 27451844.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.3 - -0.5. Let l = -21378\/13 - -142470\/91. Let y = -79 - l. What is the second biggest value in a, y, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*z - 3*b - 1559, 3*z - 55 = -5*b + 860. Let -4*w**2 - z*w**3 + 5*w**5 + 3*w**4 - 8*w**2 + 298*w**3 + 2*w**5 - 4*w**5 = 0. What is w?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) be the first derivative of 14 + 1\/2*n**2 - n + 3\/2*n**4 + 0*n**3. Calculate g(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n**(-1))\/(n\/n**(-1\/3)*n*n) assuming n is positive.\nAnswer: n**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 26083725 and 18975.\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1027607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 10, 2, 12.4 in decreasing order.\nAnswer: 12.4, 10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 57740633, 57740636, 57740639, 57740642, 57740645?\n\"Answer: 3*i + 57740630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 44*v. Let q(j) = j - 1. What is q(o) - x(o)?\nAnswer: -43*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 124420 (base 5) in base 2?\nAnswer: 1001101111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -4*v**3 - 2*v**2 + 5*v - 5. Let o(c) = -c**3 + c. Let m(g) = 4*g**3 + g**2 - 5*g + 3. Let f(l) = -m(l) - 2*o(l). Determine -5*f(t) + 3*s(t).\nAnswer: -2*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 + -11 - (-3 + -10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-30*81\/270)\/(48\/88)?\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -i**2. Let r(p) = 163*p + 9. Let t(x) = -57*x - 4. Let y(q) = -4*r(q) - 9*t(q). Determine y(z(a)).\nAnswer: 139*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*x = -45*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -161623*a*c**4 - a*c**3 + a*c**2 + 2591407*a + c**5 wrt c.\nAnswer: -3878952*a*c - 6*a + 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 0, -20, -0.02, 0.1 in increasing order.\nAnswer: -20, -0.02, 0, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -38 + (-852)\/48 - (-18)\/(-8)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 44*p - 45*p. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(72)*2)**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -10*l + 8*l - 8, -3*l - 28 = 4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 10) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 672136 a multiple of 687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 39478844 less than or equal to 39478844?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) be the third derivative of p**8\/224 - 17*p**7\/420 + p**6\/8 - p**5\/10 - p**4\/6 + 604*p**2. Factor v(y).\nAnswer: y*(y - 2)**3*(3*y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -135 - -135.256. Let f = g - -0.744. What is the nearest to f in -0.1, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 11\/4 - 9\/4. Suppose -8*x = -12*x - 20. Let c(h) = h**3 + 6*h**2 + 5*h + 2. Let j be c(x). Is j bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -289*t + 280*t = -9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 217*v + 102 = 234*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 4 (b) 321 (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = r**3 - 8*r**2 - 8*r - 11. Let c be (-10)\/(-2) - (-1 - -6). Suppose -150 = -c*s - 15*s. List the prime factors of w(s).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*h + 4*m - 14, 3*h - m - 4 = -0*h. Suppose -h*c + 89 = 4*k, 0 = k + c - 15 - 6. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.891 + -0.93. Let v = m + 5.039. Let n = -26\/5 - -109\/20. What is the second smallest value in n, -0.4, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (384*f + 4341 - 2170 - 2169)*(-4*f + 2*f**4 + 4*f).\nAnswer: 768*f**5 + 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -26, -39, -40, -29?\n\"Answer: 6*z**2 - 31*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11526444 is divided by 29404?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -77a545 (base 14) to base 10\nAnswer: -4062161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1 - 0. Suppose k + 0*y + s = 5*y, k = 4*y + 2. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.2 * -3591.\nAnswer: -718.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 37*l - 65. List the prime factors of p(10).\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 137610000 rounded to the nearest 1000000?\nAnswer: 138000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:01 PM and 12:41 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 36*g*m**3*n*w**2 + g*m**3*w**2 - 4*g*w + 4*m**3*n*w**2 - 7*m**2*w**2 wrt n?\nAnswer: 36*g*m**3*w**2 + 4*m**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 276901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve i = -o + 3, i - 3*i + 3 = 5*o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = q**2 + 8*q - 4. What is y(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -3, -5, -35 in descending order.\nAnswer: 1, -3, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 222 - 3483*r**3 + 75*r + 3541*r**3 - 222 - 77*r.\nAnswer: 58*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1.89974? (a) -2 (b) 0.2 (c) -3 (d) 0.144\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 6624.216 kilograms?\nAnswer: 6624216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 5 = -3*q - 0, 4*q = 5*g + 32. Solve 5*w - q = 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -2, 35 in decreasing order.\nAnswer: 35, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) be the first derivative of 0*g - 22\/3*g**3 + 3 + 0*g**2. Let f(l) = -2*l. Calculate f(b(z)).\nAnswer: 44*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = -53494 - -215201\/4. Is q less than or equal to 306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine a so that -3*a**3 - 4077*a**2 - 8145*a - 4071 = 0.\nAnswer: -1357, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) be the first derivative of -169*q**5\/5 + 170*q - 60. What is the first derivative of f(x) wrt x?\nAnswer: -676*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 87\/160 and -107\/473096.\nAnswer: 9461920","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 7590, 30441, 68542, 121905, 190542, 274465, 373686?\n\"Answer: 2*k**3 + 7613*k**2 - 2*k - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*h**2 - 8*h + 8*h)*((-h - h + h)*(2*h**2 - h**2 - 3*h**2) + 6*h**3 - 3*h**3 + 5*h**3).\nAnswer: -80*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 10527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 + -7 - (-4 - -4 - (-1 + 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:46 AM and 1:42 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 384130269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e, 1 q, and 1 y when four letters picked without replacement from yyqeeqyq?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Subtract 24400656 from -32.\nAnswer: -24400688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 27704748*k**4 + 2*k**2 - 193149098*k wrt k.\nAnswer: 332456976*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 38363323451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 39, 98, 151, 198?\n\"Answer: -3*w**2 + 68*w - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 493*n*q**3*u + n*q**3 + 12*n*u**2 - 35*q**3*u**2 - 209*q*u**2 with respect to n.\nAnswer: 493*q**3*u + q**3 + 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13855 is divided by 257.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -2*i + 3*i. Let k be i\/(-5) - (-6)\/(-15). Is ((-1)\/k)\/((-5)\/(-55)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-3 + sqrt(75))**2 - sqrt(3)) + sqrt(3) + (-3*sqrt(15))\/sqrt(5))*5 - -2*((sqrt(9) - sqrt(36)\/sqrt(4))*-3)\/((-1*sqrt(24))\/sqrt(8)).\nAnswer: -165*sqrt(3) + 420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 25 and 4000.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -163 + 168. Solve -4*q + 2*p = 12 - 2, 5*p - k = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -10460.7 + 10460. Which is smaller: x or 3.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 41 - 39. Let l(s) = 5*s + 0*s**2 - 2*s**2 - 9*s + 5*s**2 + z. Calculate l(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 + -27 + -52 - (39 - 2)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1812 = -u - 3*u. Let p = u + -111. Let j be (-870)\/(-24) + (-145)\/20 + 9. Calculate the highest common factor of j and p.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -7*a - 7. Let s = 6 - 2. Suppose 3*r - 10 + 37 = -4*c, 0 = 4*r + s. Let t(l) = -6*l - 2 + 2 - 6. Determine c*t(m) + 5*q(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = m**3 + 21*m**2 - 2*m - 49. Let t be i(-21). Which is greater: t or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -965, -1923, -2881, -3839, -4797, -5755?\nAnswer: -6713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2430) + -5*(2*sqrt(2430) - sqrt(2430)))*-3)\/(2*(sqrt(90) - (1*sqrt(90) - sqrt(90))) - (2*sqrt(90)*-4 + sqrt(90))).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 2*a - 3 + 3 + (-1 + 2 + 1)*(6*a - 2*a - 2*a) - a - 1 + 1 - 6*a - 63*a + 13*a + 0*a + 3*a + 2*a + (0 + a + 0)*(-3 + 3 - 2) as y*a + s and give y.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-22544 - 40366 - 1806)*(g - 2*g + 0*g) to the form s + b*g and give b.\nAnswer: 64716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -355862.3 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1916*q**3 + 988*q**3 + 938*q**3.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*r**3 + 6 - 6 + 4*r**3 - 7 + 7 + (-6 + 6 - 6*r)*(-r**2 - 4*r**2 - r**2).\nAnswer: 37*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -1\/4, -9839 in ascending order.\nAnswer: -9839, -1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -2*v**2. Let b(i) be the third derivative of 0*i + 0*i**3 + 0 + 0*i**4 + 8*i**2 - 5\/4*i**5. What is b(x(j))?\nAnswer: -300*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = j**2 + 15*j - 47. Let k be p(3). Let i(q) = q**3 + 13*q**2 + 40*q + 4. Let b be i(-5). Solve -b*x - 3*s + k = 32, 2*x + 11 = -s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -514, 15, -1.\nAnswer: -514, -1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 3013*j - 131764 - 267335 + 72224 = -37627 for j.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5663853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 148299792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.29 - -0.3. Let o = p + 0.09. Which is greater: o or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 53 + -9487\nAnswer: -9434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 821, 845, 877, 911, 941, 961?\n\"Answer: -m**3 + 10*m**2 + m + 811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 336 and 384.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put -0.25, -8, 4 in increasing order.\nAnswer: -8, -0.25, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10111111 + -110010010001?\nAnswer: -101111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 100*l**2 + 84*l - 209. What are the prime factors of f(8)?\nAnswer: 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(28)*-5 + sqrt(7) + 3 + 3)**2*-5.\nAnswer: -2960 + 450*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 6 + -4. Let p(y) = 2*y - 4. Suppose 5*b + 0*b = 4*a + 31, 2*a = b - 11. Let x be p(b). Is v > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3322054*m**2 - 896*m**3 - 3322054*m**2 - 2*m**4 + (1 + 2 - 1)*(m**3 - 2*m**4 - m**3) to the form i*m + g*m**2 + r + q*m**3 + c*m**4 and give q.\nAnswer: -896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3116)\/(-205))\/(((-4)\/(-70))\/(22*(-8)\/1232))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5 - -1. Let f = 5 + -4.5. Let z = 15.9 - 11.9. What is the second smallest value in z, f, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.9 - -4.5. Let v = -0.6 + x. Let f = 3 - 4. What is the third smallest value in 0, v, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -45*u - 3192. Give o(-79).\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in twenty-six fifths of a millennium?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dbdbdd. What is prob of sequence bd?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 105924650 a multiple of 535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5866 in 4\/7, -1, 1, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -1232a4 (base 14) in base 10?\nAnswer: -623424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 110736.\nAnswer: 2, 3, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = 140 + -143. Suppose -11 = -k - 5*x, 1 + 16 = 2*k + 5*x. Let q = k + z. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 330 or 2\/13?\nAnswer: 330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (-19*30\/(-570))\/((-13)\/13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from oaoiozoaooossoioz. Give prob of sequence zoos.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q = 3*b + 9, q - b = -4*q + 19. Suppose -5*r = -q - 21. Solve -m + 3*x = -11, -3 = r*m + 2*x + 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -o**3 - o**2 + o + 1. Let m be v(-2). Find the second derivative of 0*x**m + 3*x - 3*x**3 - x**3 wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4\/7? (a) -4 (b) -2\/17 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z\/(z*z*z**(-27)*z*z*z*z))\/(z*z**(-1\/43))*(z*z**(6\/19))\/z*(z**(-12)*z)\/z assuming z is positive.\nAnswer: z**(8447\/817)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -35*u. Let t be l(0). Which is the third biggest value? (a) -0.112 (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -43061 + 43095. Which is the smallest value? (a) -5 (b) n (c) -4 (d) 1\/4 (e) -18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a = q + q + 25, 0 = 3*q + 2*a - 10. Suppose q = 4*w - 30 - 14. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3 - 1012?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.3*4208.076.\nAnswer: -1262.4228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 249401550 divided by 843?\nAnswer: 295850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -6110234, -6110235, -6110236, -6110237, -6110238?\nAnswer: -6110239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k**2 + 188*k = 0. Calculate k.\nAnswer: -94, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 5, h: 1, e: 2, x: 2, u: 2, w: 2}. What is prob of picking 1 h and 1 x?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 6390 - 10776*c + 10777*c - 1904 as d + w*c and give d.\nAnswer: 4486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -3200505 (base 6) in base 3?\nAnswer: -21220120212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -236761 divided by 149.\nAnswer: -1589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-4)\/(-18) + 3857\/(-63). Let n = l - -64. Suppose 9*z = -n*z. Is z smaller than 1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 4, v: 7, d: 3, m: 5}. What is prob of picking 1 c and 1 d?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 910791?\nAnswer: 3, 7, 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*w**3 + 6*w**3 - 11*w**3 - w**5 + (4*w**2 - 3*w**2 + w**2)*(-32*w**3 + 18*w**3 - 20*w**3).\nAnswer: -69*w**5 + w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 65 - 45 - (-2 - -16).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 28729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 14 and 17472.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the second derivative of n**4\/4 - n. Let x = -376 + 378. Let l(u) = -315 + 19*u**x + 157 + 158. Determine l(r(v)).\nAnswer: 171*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d be 24\/(-28)*(-42)\/9. Suppose -5*t = 3*n + 26 - 132, 2*t - 32 = d*n. Suppose 10 = -5*g + t. Let b(a) = 6*a - 2. What is b(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 27704, 27709, 27726, 27761, 27820, 27909, 28034, 28201?\n\"Answer: t**3 - 2*t + 27705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 360 minutes after 12:09 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out -8.1041 * 562.\nAnswer: -4554.5042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c be -1 + -1 - (-7 - 0). Suppose -8*k = -c*k. Suppose 5*s - 8*s + 18 = k. What is the remainder when s is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 348077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 53*y + 752. Let a be h(-14). What is the greatest common divisor of 2105 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2458991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 624991?\nAnswer: 31, 20161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*t + 4*r - 8, -5*t + 2*t - r + 2 = 0. Let c be (t - 3)*10*(-1)\/6. What is the remainder when 69 is divided by (19 - (-6 - -3)) + c + -3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 9*l**3 - 5*l**2 + 2*l - 12*l + 5*l**4 + 12*l**3 + 9*l**3 - 20*l.\nAnswer: 5*l*(l - 1)*(l + 1)*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -8 (base 16) to base 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2864713.\nAnswer: 2864713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*f - 29*f - 4*f to the form v*f + u and give v.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 181485431 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 1947, 0.2, -5\/6, 0.09, 0.1?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-48)\/288*8\/(-30). Sort -2\/9, 2, t in increasing order.\nAnswer: -2\/9, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 1, j: 2}. Give prob of picking 2 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 876433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the third derivative of i**5\/30 + 1225*i**4\/24 - 923*i**3\/2 - i**2 - 433. What is the first derivative of z(p) wrt p?\nAnswer: 4*p + 1225","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 57 - 61.8. Let t = 0 + -5. Let v = a - t. What is the closest to 3 in -0.4, v, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5*-1*((-5)\/170*-17)\/((-325)\/(-910))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -6.4 + 1.4. What is the closest to 3 in y, 1\/6, 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0+1.04\nAnswer: 1.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 9675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 4*d = -388, 388 = -101*j + 103*j - 3*d. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 345*j**3*x + 23629374*j**3 + 36524*x wrt x?\nAnswer: 345*j**3 + 36524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 72798 and 814?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ekk when three letters picked without replacement from bkmbbde?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mwmwwsmwmwwmswwmw. What is prob of sequence ws?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = -249 - -151. Let m = -94 - g. Solve -m*b = 20, -11 = -4*w + 4*b + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 186 = t - 3*i, -712 = -8*t + 4*t - 4*i. 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: What is the value of -14 - ((-27 - -43 - 17) + 11)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = r - u, -2*r - 181 = 5*u - 192 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 86*m**3 + 93*m**2 - 12*m - 6081279 with respect to m.\nAnswer: 258*m**2 + 186*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 89\/1320 and 121\/320.\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13469 is divided by 127.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((8\/(64\/(-12)))\/(84\/48))\/((-10)\/315)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -3*w**2. Let o(n) be the first derivative of 2*n**3\/3 + 17. Calculate o(q(v)).\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = 65665 - 38826. List the prime factors of n.\nAnswer: 26839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (3 - 6)*(-138780)\/81. Let c = u + -1743. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 30037434 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -28076*g + 84175*g + 1 - 1 - 28163*g - 28091*g.\nAnswer: -155*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:44 PM and 12:39 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (-1 + -1*sqrt(17)*-5 - (2*sqrt(153) - sqrt(204)\/(sqrt(12)*-2)))**2.\nAnswer: 3*sqrt(17) + 145\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8\/(-828)*(-15)\/(-5)*3.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = r**2 - 4*r + 5. Let n be s(2). Suppose 2*g + n = -z, 3*g = -g - 5*z - 5. What is the nearest to g in 2, -0.2, 7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -3 + (-6)\/(-1) - -3. Let a be (w\/98)\/(-3) - 0. Let k = 139\/392 - a. Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1.2, -37, 80, 0.1.\nAnswer: -37, -1.2, 0.1, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -162, -1\/5, -4, 121 in decreasing order.\nAnswer: 121, -1\/5, -4, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -48091 divided by -57\nAnswer: 48091\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-9\/4)\/m)\/(m**(14\/3)\/m*m)*m**(-1\/3)\/((m**(-1\/19)*m*m)\/m) assuming m is positive.\nAnswer: m**(-699\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*n - r + 1550, 4*n + 5*r + 1925 = 9*n. List the prime factors of n.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 768649440 is divided by 362?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 101 divide 17768005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 65928 and 664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i**2 - 10605240*i - 74236533 = 0. Calculate i.\nAnswer: -3535073, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 16136431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 33 divide 45573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56*c - 58*c + 36 = 0. Suppose -39 = -c*h + 17*h. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 39\/1792 and -145\/576822.\nAnswer: 516832512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 4*v = -10, -4*n = -5*n - v. Suppose 0 = -4*l + 5*g + 36, -13 = -l + 4*g + 7. Solve -l*r = -n + 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 28*r**2 + 147*r**2 + 53*r**2.\nAnswer: 228*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 374 is divided by 74?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 5\/616692?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-9)\/(-12) - (-1)\/4. What is the tens digit of 308\/12 - p\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -351*o + 353*o - 4*l - 96 = 0, 2*o + 91 = -7*l. Let s(h) = -27*h**3 + 2*h**2 + h. Let f be s(-1). Calculate the greatest common divisor of f and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 33 - 28. Suppose -j*l - 10 = 8*u - 3*u, 4*l + 8 = 4*u. What is the third derivative of 2*n**2 + u*n**3 + n**3 - 10*n**2 wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1306 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 16*m**2*v**3 - 3*m**2 - 4*m*v**3 + 403*v**3 + 10*v**2 - 254*v wrt v?\nAnswer: 96*m**2 - 24*m + 2418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 22, -2\/7, -0.036, 1, -460, 5\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -49 + 62. What is the greatest common factor of 26 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 0 and -23.67724.\nAnswer: -23.67724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose x - 9 = 1. Let m be x\/30 + 46\/6. Suppose -5*j - 193 = -3*a, 0 = 5*a - a - 4*j - 244. What is the highest common factor of m and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 50 = -68. Let w(l) = 3 - h*l**2 + 5*l - l + 164*l**2. What is the units digit of w(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 2.9 (b) 0.04 (c) 0.4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 2.0548600458 rounded to five decimal places?\nAnswer: 2.05486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 3, -2\/17, -2892?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = -4*f + 17, 26*o - 27*o = -22*f - 49. Solve m = 2*t - 1, -o*m - 4 = -t + 19 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2de8 (base 16) to base 7.\nAnswer: 46156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21*l**3 - 27*l + 27*l.\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 1, p: 2, v: 1, s: 1}. Give prob of sequence xxvx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 619*d**2 + 2*d - 190*d**2 - 2*d.\nAnswer: 429*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 146 + 2821 = -365*r - 1778 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4078 = 4*z + 4*z + 974. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 48 + -43. Suppose -5*b = -3*y + 43, -10*y + d*y + 4*b + 76 = 0. Let u = 106 - 60. Calculate the remainder when u is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 392 plus 2.5?\nAnswer: 394.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - -1 - (-9 - (-8 + -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -14 (base 14) in base 8?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Do 8434 and 8453 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eewaaaweawaaaawwe. Give prob of sequence eaa.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 4*j = -0*j - 14, 13 = 2*f + 3*j. Suppose -35*v = -34*v - 5. Suppose -6*p + 5 - v = 0. Solve -r - h - 10 = 0, p = -f*h + 6*h + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -8*j - 7. Let a = -2 + -2. Let y(z) be the first derivative of -2*z**2 - 3*z + 56294. What is a*w(h) + 9*y(h)?\nAnswer: -4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence epka when four letters picked without replacement from yykeyyyyyapkkkyyp.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 10102032 (base 6) to base 3.\nAnswer: 112122021202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 6*33\/(-24)*592\/(-37) and 96?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 0, 5, 12, 21, 32, 45, 60?\n\"Answer: p**2 + 2*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express 5 - 26*l**4 - 4 + 3*l + 3*l + 3 + 29*l**4 as w*l**2 + m*l**3 + q*l + x*l**4 + j and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 0 bigger than 2\/235119293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 4188.082 years in centuries?\nAnswer: 41.88082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -1101101100010 (base 2) to base 9.\nAnswer: -10548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(17)*-4 + 4)**2 - ((sqrt(17) + 4 + sqrt(17))*2)**2.\nAnswer: -96*sqrt(17) - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 1287\/91 + -14 - (3 - (-282)\/14)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 6, s: 1, h: 5, o: 2, t: 1, a: 1}. Give prob of sequence sm.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = -53\/9 - -353\/63. What is the nearest to -1 in 1, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 576788, 576790, 576792, 576794, 576796, 576798?\nAnswer: 576800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -3*x + 2. Let q(c) = 32*c - 16. Let z(a) = 8*d(a) + q(a). Let b(s) = 13*s**2 + 1. What is z(b(t))?\nAnswer: 104*t**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 45a6 - 4a?\nAnswer: 4557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 1 k when two letters picked without replacement from {p: 1, e: 2, k: 1, t: 1, u: 2, o: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 - 1 + 2)*(-l**2 + 4*l**2 - 2*l**2)*(2*l + l - 2*l) - 2*l**2 - 3*l**3 + 2*l**2 as m*l**2 + u + t*l**3 + a*l and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let -2*o**4\/9 - 592*o**3\/9 + 194*o**2\/9 + 909496*o\/9 + 604504\/3 = 0. What is o?\nAnswer: -291, -41, -2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -j**3 - 5. What is b(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) be the third derivative of -1\/6*g**4 + 0 + 0*g + 1\/2*g**3 + g**2. What is the first derivative of j(p) wrt p?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o - 4. Let t be p(-5). Let b(w) = w + 2*w - t - 2*w. Let q(n) = -2*n + 2. Let k(z) = 2*z - 5. Let y be k(5). What is y*q(r) + 12*b(r)?\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 13\/4, -0.2, -12\/107, -2 in descending order.\nAnswer: 13\/4, -12\/107, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 0.0290023 times 272\nAnswer: 7.8886256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*b**3\/17 + 96180*b**2\/17 + 122169054*b\/17 + 38297464688\/17.\nAnswer: -2*(b - 49336)*(b + 623)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1790)\/(-598) - 15*8\/40. What is the third smallest value in s, -2, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -13 - 3. Let p = z - -20. Find the third derivative of 7*h**4 - 15*h**3 + p*h**3 - 3*h**2 + 11*h**3 wrt h.\nAnswer: 168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -42.9 + 48. Let a = 0.1 - u. Let o = -5.1 - a. What is the nearest to -1 in 1, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-30)\/16)\/((-935)\/748).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 + (6 - -1) + -5 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.0453 (b) 1533 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -27 + 31 - (-3 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be (3 - -2)*(-42)\/15. Let d(m) = -2*m**2 - 9*m - 8. Let a be d(-6). Let r = s - a. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(2100) - (-4*sqrt(2100) - sqrt(2100)) - sqrt(2100)))\/((sqrt(63)\/(1*sqrt(9)) - sqrt(7)) + -1*sqrt(7)*5).\nAnswer: -20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) be the second derivative of -5*r**3\/3 - 12152*r. Let x(d) = 811*d. Calculate b(x(l)).\nAnswer: -8110*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -57, 1, 15888?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -108, -113, -118, -123?\n\"Answer: -5*q - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 401048972 by -130084.\nAnswer: -3083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 5}. What is prob of sequence rrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -l**3 + l**2 - 18. What is n(0)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + 3 + 28 + (-6 + 4 + 0)*(0 + 2 - 1))*(-27*c - 4*c - 7*c) to the form m + w*c and give w.\nAnswer: -950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.01 (b) -4 (c) 0.07 (d) -7 (e) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -3*(-204)\/72*(0 - 2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ls when two letters picked without replacement from {l: 1, q: 1, n: 1, x: 1, s: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13400 is divided by 253?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n = 4*l + 11, 38 = -2*l + 2*n + 2*n. Let y = l + 15. Let i(w) = w**2 + y*w - 6*w. Give i(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 8\/(-10)*15*-1. Suppose -h = -3*w - 0*w, -x - w = -3. Put x, -5, 4 in decreasing order.\nAnswer: 4, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 75.976ml?\nAnswer: 0.075976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3430586?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11094 - z**2 + 22197 - 11103.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -x - i - 2*i + 24 = 0, 1 = 5*x - 2*i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-45*6*(-8)\/560)\/((-9)\/(-84))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:12 AM and 11:01 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 8114.0724 seconds?\nAnswer: 0.093912875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = i**2 + 9*i + 8. Suppose -2*z + 6 = 2, -3*z + 246 = 4*p. Let a be (3\/(-2))\/(10\/p). What are the prime factors of m(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -4*m + 9. Let k be t(-9). Suppose -2*d + i + 30 = 0, -3*d + 5*i - i = -k. Is 3 + 68 + d\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 276 by -3.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5 - 38. Let a = 126936 + -126936. What is the second smallest value in q, 4, a, 2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -m + 1. Let r(t) = 19*t**2 + 5*t - 4. Let y = -2255 - -2256. Give y*r(c) + 5*v(c).\nAnswer: 19*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:14 PM and 10:39 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + 0 + (-5*(sqrt(1331) + 4) - ((sqrt(1331) + -3)*4)**2).\nAnswer: -21456 + 1001*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 3694.447 millennia?\nAnswer: 3694447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 100 + 24. Suppose -2*r + 5*s + p = 7*s, -20 = 5*s. What are the prime factors of r?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3076401121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + -9 + 5 - (-6 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-25)\/(-15))\/((-1)\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -5701*t + 2623*t + 2730*t. Let a(x) = -x. What is r(a(k))?\nAnswer: 348*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = y + 5. Let t be j(10). Let k = t - -56. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3134303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Do -5 and 3.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*a - 3*r + 58797, 5*a - 3*r + 73497 = -0*a. What is a rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -594567\/8 + 74321. Let l = 2 + -3. Let h = -1 - l. Which is the closest to h? (a) 4 (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1573 + 17*n**2 - 1574 + 3140.\nAnswer: 17*n**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15427 = -21*l - 2974. What are the prime factors of l?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 + 2 - (13 + 3 - 0)) + -2947 + 2947?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at most as big as 119\/2207235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) be the third derivative of 0 + 1\/12*w**4 + 3\/20*w**5 + 1\/6*w**3 + 2*w**2 + 0*w. Calculate the lowest common multiple of x(-1) and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3452 - 2192. Is m a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -33223*y + 22. Let k(m) = -m. Give s(k(d)).\nAnswer: 33223*d + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find q, given that 24*q**3\/5 + 1078*q**2\/5 - 62472*q\/5 - 8424 = 0.\nAnswer: -78, -2\/3, 135\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h be -1 - 3\/4*-2. Let a(q) be the first derivative of 1\/3*q**3 - 1 + 0*q + h*q**2. What is the second derivative of a(f) wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 40 divide 10290720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 2*s**2 + 3*s. Let l be (-8 - 2\/(-2)) + 2. Let t be h(l). What is the remainder when 25 is divided by (-7)\/(-28) + t\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v = -4*s + 36 - 11, 0 = -s - 5*v - 11. Suppose 7 = s*a - 11*a. Let h be (a + -1)\/(32\/(-48)). Solve b = -h - 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9893863 is divided by 196.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 35*q**2 - 4*q - 26*q**2 + 4*q in the form g*q + f + z*q**2 and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*g, -13*o + 3*g = -10*o - 558. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*p = 7*i - 5*i - 14, -i + 5*p + 27 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -156 = -5*c - 3*v, 0*v - 2*v = c - 34. Calculate the greatest common factor of 24 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10286286089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 40 + (11 - 24) - 43?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 9 (b) 37 (c) -1 (d) 1 (e) -3 (f) 0.3 (g) -179\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 195463719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 0.4 (b) 5 (c) -6 (d) -7292\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 6797296153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 9556 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u**3 + 22515*u**2 - 17154720*u + 3033461340 = 0. What is u?\nAnswer: -5187, 342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (n + 0*n - 2*n)*(-518 + 871 + 876 + 1367).\nAnswer: -2596*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from aacacccc. What is prob of sequence ccca?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u be 39\/(-104) + (0 - 3892\/2568). Let q = -5\/321 - u. Suppose 10 = 3*f - 2. Which is the closest to q? (a) -2\/3 (b) 0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1 (b) -0.5 (c) 0.1 (d) 2 (e) 3 (f) 3944\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -23.798 + -2.422. Let x = b + 31. Let a = x - 5.4. Round a to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*(u**(-1\/4)\/u)\/u)**(-1\/15)\/(u*u**(2\/5)*u)**(-1\/38))\/((((u**1\/u*u)\/u)\/u)**(2\/59)*(u**(2\/3)*u*u)**(-5\/11)) assuming u is positive.\nAnswer: u**(343421\/246620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5 + -3. Let a(d) be the third derivative of t*d**2 + 0 - 1\/150*d**5 + 0*d - 1\/30*d**4 - 1\/15*d**3. Let a(w) = 0. What is w?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14373 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 387 minutes after 9:33 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = x**2 + 3*x. Let z(h) = h**2 + h + h - h + h. Let c(n) = 3*k(n) - 4*z(n). Solve c(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 18 = -2*f, 4*f - 11 + 31 = 2*l. Let m(r) = 10*r + 17 + 19 - 4*r. Let y be m(f). Does -3 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 642250230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 585, 0, -62?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -2*j. Let a(i) = 13027*i. Determine z(a(c)).\nAnswer: -26054*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c be 16\/((-17)\/72*-1). Which is smaller: 67 or c?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 5*k**3 - 1. What is h(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-v**2 - v**2 + 4*v + 1 - v)*(-2 + 10 - 3)*(2*v + 25*v + 18*v).\nAnswer: -450*v**3 + 675*v**2 + 225*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -6*z**3 - 13*z**2 - 17*z - 1. Let d(m) = -18*m**3 - 40*m**2 - 50*m - 4. Let n(u) = 3*d(u) - 8*j(u). Factor n(h).\nAnswer: -2*(h + 1)**2*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -628*r - 223*r - 9806 = 8916 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 14*i**2 + 8*i + 140. Let h(d) = -2*d**2 - d - 1. Calculate -6*h(f) - y(f).\nAnswer: -2*f**2 - 2*f - 134","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -z + 1. Let x = 35 + -34. Let v(p) = -p + 3. Calculate x*v(f) - 3*q(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.5 - -0.6. Let b = 3943.2 - 4462. Let m = -519 - b. What is the closest to k in -0.4, -0.06, m?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (6\/(-16))\/(15\/2) and 4\/10 + -42*1\/80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10 + -3 + -8 - 18\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -41 - 35?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -21932 (base 13) to base 7\nAnswer: -342332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 9587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 2192 >= 2197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by 2113?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 123 minutes before 9:58 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = a**3 + 127*a**2 - 2063*a - 12544. Give p(-141).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 8, h: 2, a: 1, y: 2, w: 2}. Give prob of picking 1 y, 1 w, and 1 r.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -167\/9632280 and 167\/336.\nAnswer: 19264560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 1 less than -779?\nAnswer: -780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve p - 24 + 13 = q, -q + 2*p - 14 = 0 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -8 or -33\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -1052 divided by 69\nAnswer: -1052\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -589*i**4 + 16*i**3 + 171*i**2 + 5589*i + 20084?\nAnswer: -7068*i**2 + 96*i + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -185570, -186662, -187754?\nAnswer: -188846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.001241279 to five decimal places.\nAnswer: -0.00124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 304 in -19, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) be the third derivative of -c**5\/60 - c**4\/4 + 20*c**3\/3 - 37*c**2. What is the remainder when s(0) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 2*k**3 - 76*k**2 + 70*k + 141. Calculate q(37).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Determine b so that 10*b**4 - 7924*b**3 - 10386702*b**2 + 8481799008*b - 3391057224 = 0.\nAnswer: -1026, 2\/5, 909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 38*h - 12. Let w be f(-12). Let p = 472 + w. Solve -6*v = -2*v + 5*x + 3, 4*x = -p*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 12, 0, 3, -4 in decreasing order.\nAnswer: 12, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 5*i - 5. Let o be f(-5). Let t be (-34)\/(-30) + 4\/o. Sort t, 3, 0 in descending order.\nAnswer: 3, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.2 + -3103523.\nAnswer: -3103522.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -9*n + 2 - 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from carnasnnar. Give prob of sequence nns.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 154961 and 12?\nAnswer: 1859532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 4122 and 36?\nAnswer: 8244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 53393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = 319*i**2 + 29*i - 232. Let t(c) = -79*c**2 - 7*c + 56. Let b(w) = 7*q(w) + 29*t(w). Let s(p) = p**2 - p + p. What is b(s(n))?\nAnswer: -58*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 22194 + -22194.00013747. Round q to six decimal places.\nAnswer: -0.000137","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - c**3)*(c - 1 + 1) - c**4 + 0*c**4 - c**4 + (-347*c**2 + 37*c**3 + 347*c**2)*(2*c - 2*c - c).\nAnswer: -40*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2647739?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 2156*r**3 - 3*r**2 + r + 47. What is the ten thousands digit of h(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -7*a**3 + 5*a**2 + 3*a - 11. Let k(u) = 91*u - 450. Let f be k(5). Let s(q) = 4*q**3 - 3*q**2 - 2*q + 5. Determine f*s(j) + 3*x(j).\nAnswer: -j**3 - j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*q - 1030 = 7*q. Suppose 10*t**3 + 11*t**3 + 42*t + q*t**2 - 53*t**2 = 0. What is t?\nAnswer: -7, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.4628194 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1660 - -1668.39. What is k rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 244\/(-20) + 12 + 428\/(-10). Which is bigger: -44 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 71\/4 of a year in months?\nAnswer: 213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*u**2 - 407468*u + 20753771378.\nAnswer: 2*(u - 101867)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 15? (a) 14\/3 (b) 3 (c) -2 (d) -76 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -62 + 66 = -2*r. Let n be (3 - (-23531)\/r)*6\/(-3). Suppose -5*q - 1225 = n. Round q to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.003815137 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) be the third derivative of i**7\/2520 - i**6\/360 - i**5\/24 - i**4\/24 + 25*i**3\/6 - 82*i**2. Let q(g) be the second derivative of t(g). What is q(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2459 is divided by 164?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q be (5 + 1 + -1)*-1. Let c(r) = -r - 1. Let p(i) be the first derivative of -i**3\/3 + 3*i**2\/2 + i + 17333. Calculate q*c(k) - 2*p(k).\nAnswer: 2*k**2 - k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j be 4\/10 + 81\/(-15). Let a = 8 + j. Suppose -5*t = d + 8, 2 + 8 = 2*d - 3*t. Solve d*g + a*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14 - 33 - -9 - -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 446756821 to the power of 1\/4, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 16757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50*m + 33*m = 73704. Calculate the lowest common multiple of 8 and m.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 3*((-6)\/(-6))\/(-2 + -1). Let y be (n - 8\/10)\/(18\/(-60)). Suppose 0 = -3*x - 6 + 24. What is the greatest common factor of y and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*g**3 + 0 + 0)*(-2*g - 6 + 6) + 13*g**4 + 2*g**4 + 22*g**4.\nAnswer: 41*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 42*t - 4*x = 46*t - 20, 0*x = -45*t + 2*x + 84 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 682 = -2*v + 3*p, -3*v + 4*p - 3*p = 1030. Let a = v + 519. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 10416 + -10416. Let j(x) be the third derivative of 22*x**2 + q*x - 1\/24*x**3 + 1\/32*x**4 - 1\/80*x**5 + 1\/480*x**6 + 0. Factor j(n).\nAnswer: (n - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -3*f + 17. Let c be y(5). Suppose -c*o - 300 = -8*o. Let w be 4\/(-10) + 20\/o. Solve 0 = -p - w*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2002113 (base 4) in base 6?\nAnswer: 102343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) be the first derivative of -153*z**5\/5 - 290*z - 315. Find the first derivative of d(f) wrt f.\nAnswer: -612*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - -8) + -27 + 23.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 54, 0, 2 in descending order.\nAnswer: 54, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((30\/(-20))\/(12\/(-24)))\/((12\/(-19))\/4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 14638861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*d + 45*d = 920. What is the least common multiple of 20 and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) be the third derivative of n**4\/24 - n**3 - 123*n**2. Determine u(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 3 (b) 0 (c) 62 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2 + 14. Let s(u) = u**2 - u + 1. Let r be s(2). Solve -r*w = w + l for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 630 minutes before 5:26 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*k = 4*r - 13, 0 = -38*r + 42*r - 2*k + 22 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) be the second derivative of -13*a**7\/21 + 35*a**3\/6 - 21*a. Find the second derivative of t(p) wrt p.\nAnswer: -520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2300033 (base 6) in base 7?\nAnswer: 664056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -105*q**2 + 212*q**2 - 98*q**2.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -71, -236, -689, -1574, -3035, -5216, -8261?\n\"Answer: -24*a**3 + 3*a - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*t**2 + t**2 - 2*t + 107*t**3 + 5*t**4 - 99*t**3.\nAnswer: t*(t + 1)**2*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -w**3 + 23*w**2 - 30*w - 69. Calculate the remainder when 548 is divided by i(21).\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -24, -1, -5, 2 in decreasing order.\nAnswer: 2, -1, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = 9718 + -9442. What is the greatest common factor of 115 and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (0 - -3) + -8 + (-905 - -955)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 3*c - 32 = 0. Let y be (116\/c)\/((-2)\/(-4)). Suppose t - 48 = y. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 6 - 3 - 1*63. What is the remainder when 23 is divided by (3\/5)\/((-3)\/q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 plus 1217083?\nAnswer: 1217088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5\/25)\/(-1)*5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 1 + 4 - 2*d**2 + 5*d - 1. Let r = 2 + -2. Suppose -2*b = 5*k + 23, r*k = -k - 3. Let u(p) = -3*p**2 + 6*p + 5. Give b*i(x) + 3*u(x).\nAnswer: -x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = -19.225 + 14.5. What is v rounded to one decimal place?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.06 + -2.94. Which is the biggest value? (a) -0.05 (b) p (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:27 PM and 5:08 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = 124 + -69. Let s(q) = 8*q**2 + 2*q. What is the remainder when d is divided by s(-2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 795420889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 318 minutes after 10:17 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0 + 61. Let q(z) = -z**2 + z + 21. Calculate the remainder when a is divided by q(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 26 = 5*p, 5*p - 3*u - 2*u = 30. Let o(g) be the second derivative of 0 - g**p - 1\/6*g**4 + 1\/20*g**5 + 2*g + 1\/2*g**3. Calculate o(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 998.288 milliseconds in nanoseconds?\nAnswer: 998288000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 252 >= 252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -63d993 (base 15) in base 4?\nAnswer: -102020223303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -76\/2702559 and 23\/61287.\nAnswer: 83779329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3016 - 2968. Calculate the least common multiple of q and 432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 23*o - 1. Let l = 109 - 87. Calculate the least common multiple of l and w(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -74, -390, -918, -1658, -2610?\nAnswer: -3774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.07 + -0.17. Let r = 5914 - 41410\/7. Which is the biggest value? (a) r (b) -1 (c) -5 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21 (base 8) in base 10?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 17277 - 466420\/27. Calculate the common denominator of 101\/48 and u.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -7*p - 25. Give x(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.342 (b) -1 (c) -5\/528\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1434.6 - -1435. Let x = -69 + 59. Which is the nearest to -0.1? (a) p (b) -4\/7 (c) -4 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 48 and 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-4 + 1)\/(15\/(-20) + 0). Let d(z) be the first derivative of 3 - 2\/3*z**3 + 0*z + 0*z**2 + 1\/2*z**a. What is the third derivative of d(h) wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from kkmvkkaama.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/(-60)*(-5145)\/3087?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 48251?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*o = -3*p + 33, -p + 10*o - 9*o = -11 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 29 divided by -188068?\nAnswer: -29\/188068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 113044 to the power of 1\/2, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 23504, 47158, 70704, 94088, 117256, 140154, 162728, 184924?\nAnswer: 206688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - (-5 + 9 - (1 + 4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.64 times 950.2?\nAnswer: -608.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-63)\/812)\/(274\/(-11919)).\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 358665?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 5\/8 of a week?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 45654 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -131 minus 0.2?\nAnswer: -131.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 344\/172*11\/(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -587 (base 9) to base 5.\nAnswer: -3414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -4.86511 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(19) - (sqrt(1900)*3 + sqrt(1900))**2 - sqrt(2299)*-1.\nAnswer: -30400 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/11 in -24.2, 2\/17, -1\/4, 4, -2, 15\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = r - 17. Let g be ((-16)\/12)\/(-4)*(35 + -17). What is z(g)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**(2\/19)\/(o*o\/o**(4\/3)*o)*(o**(-1\/2))**(2\/35)*(((o**(2\/5)\/o)\/o)\/o**6)\/((o\/(o*o**5))\/(o*o*(o**(1\/11)\/o)\/o)) assuming o is positive.\nAnswer: o**(-89954\/21945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y - 9 = 5*l + 26, -3*l = -5*y - 3. Let f(t) = t - 2. Let c(b) = -5*b - 3. Let x(a) = -a - 1. Let d(o) = -c(o) + 4*x(o). Determine y*f(u) + 4*d(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -g**3 + 18*g**2 + 18*g + 28. Let u be a(19). Suppose -h = u*h. What is the units digit of 4 + 36\/(2 - h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 69115 is divided by 117.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 148 divide 593480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5896 = 3*z - 3641. List the prime factors of z.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5)\/(60\/(-4))*42\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nnf when three letters picked without replacement from {n: 2, f: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*y + 14*y = 6. Suppose -252 = -4*p - 2*w, -9*p + 118 = -7*p + y*w. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 252123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -45*v - 2133 = -931 + 1744 - 201 for v.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -755 - -1022. Which is smaller: 269 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.0269 * 2.\nAnswer: -0.0538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/5? (a) 2\/15 (b) -4 (c) -430 (d) -0.021 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = i**3 - 8*i**2 + i - 8. Let m be q(8). What is the nearest to 2\/5 in m, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10133 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4\/3)\/((-150)\/(-25))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qqqqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 3*o**2 + 4*o. Let a = 0 - -11. Let g(c) = -9*c**2 - 11*c. Calculate a*x(y) + 4*g(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in 13.8, -41, 28?\nAnswer: 13.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*p - 6*p**2 + 60*p**2 + 89*p**2 + 35*p**2 to the form l*p + z*p**2 + k and give z.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -35630, -35631, -35632, -35633, -35634?\n\"Answer: -v - 35629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2745 is divided by ((-39)\/(44 - -34))\/((1 + 1)\/(-164)).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = s**3 - 30*s**2 - 3*s + 47. Let u be a(30). Is -42 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y = -6, -4036 - 586 = -f + 3*y. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -424, -1714, -3872, -6898?\n\"Answer: -434*b**2 + 12*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 2*j**2 - 6*j. Let m be z(3). Suppose m = 5*r + 3*w - 217, -7*r + 172 = -3*r + 2*w. Solve -2*a = -4*o - 7*a - r, -15 = 3*a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-6)\/(-1)*2\/(-3). Let k(r) = -3*r + 1. Let b be k(-2). Suppose -2 = -2*l + 2*u, -2*l - 5 = 5*u + b. Is t greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (-2 + (sqrt(1300) + (sqrt(1300) + 1 - sqrt(1300)) - sqrt(1300)) + sqrt(1300) + sqrt(1300) + -5)**2.\nAnswer: -240*sqrt(13) + 5233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 2*a + 2. Let q be g(-3). Let t be (7\/28)\/((-7)\/(-4)). What is the second smallest value in -5, q, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3372202 to the nearest integer?\nAnswer: 1836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0 - 1 + 3)*(-f + 2 - 2) + 3*f - 2*f + 0*f)*(-1 - 1 + 4).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1495 is divided by 225?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 269*b - 4 + 4 - 142*b + 362*b to the form l + a*b and give a.\nAnswer: 489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 811 or 813?\nAnswer: 813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5.05 - -3.45. Which is the closest to u? (a) 3 (b) 3\/2 (c) -3\/2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (9\/18)\/((-1)\/(-90))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 43 + -46.8. Let a = v - -3.838. What is a rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 221226?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 525, -1, 0, -4 in increasing order.\nAnswer: -4, -1, 0, 525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) be the second derivative of 0*q**2 + 0*q**3 + 0 - 2*q + 1\/4*q**4. Let r(k) = 2*k. Calculate r(c(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b be (5 + -5)\/(-1*2). Suppose -2*v + 4*x = 8, 2*v + 3*v - 5*x + 25 = b. Let i = 7 + v. Are 2 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-8 + 7 + 0 - p)*(2 + 0 - 3) to the form v*p + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide -8321 by -53.\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {k: 15, n: 3}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(336)\/sqrt(3)*-1 + sqrt(14)\/sqrt(8) + (-2*sqrt(63))\/sqrt(9).\nAnswer: -11*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1.2 - -3.8. Let h = -24\/119 - -1\/17. What is the third smallest value in -1\/5, h, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/o**(-1))**(-28)*(o\/(o*o\/o**(3\/5)*o))**(-46) assuming o is positive.\nAnswer: o**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13765 is divided by 1774?\nAnswer: 1347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.447 + 0.007. Let n = w - -0.4402. Round n to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) be the third derivative of -19*x**6\/120 - 7*x**3\/6 + 36*x**2. Differentiate d(i) wrt i.\nAnswer: -57*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 6 = -24. Let h = 14 + z. Suppose -4*l - 4*m + 9 = -15, h*l = 4*m + 16. Solve -l*k + 5 = o, -3*k - 2*o + 14 - 4 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -94646698.3 and -4.\nAnswer: -94646702.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18179 is divided by 1129?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = n**2 - 6*n - 7. Let y(x) = -x - 1. Let r be 2\/(-9) + (-110)\/(-90). What is r*b(w) - 5*y(w)?\nAnswer: w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:20 PM and 12:03 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in 10.7, -2\/15, 34.8?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -36\/19? (a) 0 (b) -6 (c) -0.5 (d) 10824\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -14, -11, 10, 49, 106, 181?\n\"Answer: 9*d**2 - 24*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be 0\/8 - -2134 - (0 - -1). What is the greatest common factor of l and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = w - 7. Let c be f(4). Let q = c - 2. Let k(d) = d**3 + 5*d**2 - 5*d - 15. Let h be k(q). Solve 4*x = -x + h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 337416 - 454389 = -951*d for d.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 12*q + 3*q**3 - 6*q**3 - 16*q in the form r + f*q**3 + c*q**2 + z*q and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3590289054.\nAnswer: 2, 3, 11, 18132773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -5*y - 4. Let n = -29 + 50. Let m(j) = 3 + 3*j - 2 - 2 - n*j. Give m(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) be the first derivative of -l**5 + 15*l**4\/2 - 25*l**3\/3 - 60*l**2 + 180*l - 37. Let z(j) = 0. Calculate j.\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dkfdkwz. What is prob of picking 1 w and 1 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*g**3 + 97*g**2 - 88*g**2 - 232*g - 5*g**3 + 5*g**3 - 245*g**2.\nAnswer: -4*g*(g + 1)*(g + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of c*o**3 - 66*c*o*s + 37*c*o + c - 241018*o**3*s + 2*o - 4*s wrt o?\nAnswer: 6*c*o - 1446108*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = j**3 + 4*j. Let w(v) = 30*v + 6*v**3 - 9*v - 10 + 10. Calculate 21*t(f) - 4*w(f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -63*q**3 - 11*q**2 - 707*q + 1436. What is r(2)?\nAnswer: -526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 89 - 35. Let i = -31 + b. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 15) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 149 + -143. Calculate the greatest common divisor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -h**3 + 10*h**2 + 12*h - 6. Let v be n(11). Suppose -2 + 32 = v*u. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 650782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 3*x - 1. Let v(q) = -q + 18 + 7 - 1 + 7. Calculate the remainder when v(0) is divided by t(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) be the first derivative of -11*n**4\/4 + 79*n + 88. Differentiate y(i) wrt i.\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -27 + 44 - (28 + -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -213, -91, 17, 105, 167, 197, 189?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.1 (b) -3031 (c) -10 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-7\/5)*n**(-18))**33 assuming n is positive.\nAnswer: n**(-3201\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -439*z = -358*z + 308 - 1037 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-4)\/(-38) + 18*(-120)\/304. Let m(q) = -13*q - 91. Let u be m(v). Solve j + 0*r - 1 = 3*r, 5*j - 5*r - 5 = u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -79 - ((-28 - -23) + 3 + -48).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -395 + 197 - 2892*b + 198.\nAnswer: -2892*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 977926.9 grams to micrograms.\nAnswer: 977926900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) be the first derivative of 16*y - 5*y**2 - 5 - 5\/3*y**3. Let h(p) = -p**2 - 2*p + 3. Give 11*h(k) - 2*z(k).\nAnswer: -k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - 2*i + 1535 = 0. Calculate the remainder when i is divided by -7 + 24 + (-55)\/5 - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*k**3\/4 + 24*k**2 + 51*k.\nAnswer: -3*k*(k - 34)*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 56\/1269 and -125\/216.\nAnswer: 10152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c = 18961.995446 + -18962. What is c rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 6 = 5*k - 3, 4*q = k - 12. Suppose 0 = 2*u - k*u + 6. Calculate the lowest common multiple of (4\/u)\/(2\/(-6)) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -12 + -32. What is i rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 17 - (9 - -2) - (7 + -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 7\/8 of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 725 and 150481?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 60*o**2 + 596*o + 43. Determine t(-10).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 11565209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = 199 + -53. Let d = y - 134. Solve 0 = 3*z - 3*o - 28 + 4, 0 = -3*o - d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -o**2 - o - 7. Suppose -3 = -2*v + 3*t, 7*t + 3 = -5*v + 4*t. Let b be w(v). Let g = b + 11. Solve -2*k - 2*k = -g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = 10*l - 2. Let x(t) = -1545*t**2. Determine y(x(r)).\nAnswer: -15450*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 414953 divided by -2?\nAnswer: -414953\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6*(-18)\/16 - 138\/(-552)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 529, 1511, 2941, 4813, 7121, 9859?\nAnswer: 13021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 12 less than 377\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 163*r - 48760 = 14*r - 81*r. Calculate the remainder when 824 is divided by r.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (5538\/52)\/((-2)\/(-5 + 1)). Let x = t + -208. Solve 4*b + 3 = -x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -23 + 27. Suppose 8*j - 3*j + 180 = 5*p, b*p + j - 139 = 0. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -720 - -724. Solve -k*z = -2*z - 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -152, -153, -154?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 2 = -3*f + 2, -5*f + 20 = -5*a. Suppose -d - 2*c = 3*d - 6, -3*d - c + 5 = f. Factor 3*v + d*v**2 + 0*v**3 - 2*v**3 - 2*v**4 - v.\nAnswer: -2*v*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 56 + -35 + (-29 - -5) + 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24\/16*(-3 + (-226)\/(-78)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*f + 2*f**2 + 2*f)*(-f + f + 2*f) - 3*f**3 - 2*f**3 + 6*f**3 + 8*f**3 - 5*f**2 + 5*f**2 + 2*f**3 + 0*f**3 + 0*f**3.\nAnswer: 15*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*f - 5*c + 115, -4*f - 7418 + 7254 = -7*c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -2\/5 (b) 4 (c) -0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = w - 9. Let u(k) = -k. Let x(b) = a(b) + 2*u(b). Let p be x(-8). Put -5, 5, p in increasing order.\nAnswer: -5, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 594\/132 + (44\/24 - 3\/9). Solve -2*q = -4*n - u, -n - 17 = 3*q - 19 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 5*o**2 + 5*o. Let y be j(-2). Suppose -5*d - 5*s = -25, 3*d - 3*s + y = -s. Solve 0 = -2*v - 6*b + b - 27, 4*v - 3*b - 11 = d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine d so that 3*d**5 - 2997*d**4 + 674082*d**3 = 0.\nAnswer: 0, 342, 657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-4)\/10)\/((-3)\/30). Suppose 0*f + 8 = g*f. Solve 11 = -5*p + 1, f*p + 3 = -k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16542*g**2 + 8488*g**2 + 8673*g**2.\nAnswer: 619*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1242, -999, -754, -507, -258, -7?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 75 divide 30277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -0.25 times 13?\nAnswer: -3.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ic when two letters picked without replacement from iiiciiiiiiccillcici?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -107 - 1085?\nAnswer: -1191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -53*q**2 + 5*q - 6. Let f be z(1). Is 51*9\/(f\/(-40)) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1\/(-13)*((-150)\/(-45))\/((-40)\/24). Factor l*o**3 - 88\/13*o**2 - 2\/13*o + 88\/13.\nAnswer: 2*(o - 44)*(o - 1)*(o + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pppwppppw. Give prob of sequence pwwp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4430303 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 12*i + 40 - 14 - 27 - i**3 + 12*i**2. Is u(9) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -10918*m*u**3 - 4*m*u**2 - 244*m*u - 1 wrt u?\nAnswer: -65508*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 136618, 57, -5 in ascending order.\nAnswer: -5, 57, 136618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 844\/10 + (-10)\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w*w**(1\/4))**(1\/3))**9)**(1\/49) assuming w is positive.\nAnswer: w**(15\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 283368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 12629, 25230, 37831, 50432, 63033?\nAnswer: 75634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 3, 1\/14, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n = 4*n + 5, 3*n = -j + 88. Find the third derivative of -12*x**2 + 2*x**3 + 112*x**2 + j*x**6 - 75*x**6 + 34*x**2 wrt x.\nAnswer: -240*x**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2013132 + 0?\nAnswer: 2013132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2 (b) 4\/3 (c) 0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 90 - 45 - 46 - 13*a - 102 - 2*a**3.\nAnswer: -2*a**3 - 13*a - 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-10 - 11)*(-1)\/3. Solve 3*v + h = -5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*c + 4*k = -5 + 3, -5*c - 3*k + 4 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -170\/9 + 182\/9. Which is the third biggest value? (a) -2 (b) -3 (c) w (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2318?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d**1)\/((d*(d**(-4\/5)\/d)\/d)\/d)*(((d**(-2\/7)*d)\/d*d)\/d)**37 assuming d is positive.\nAnswer: d**(-202\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1\/((-7)\/(-33)) - (-276)\/966. Suppose -2*q = 0, 7 = w*o + 5*q - 13. Solve 3*k - 9 - 3 = -4*r, k - 2*r - o = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.2 + 9.8. Let l = 9.7 - o. What is the nearest to 0.1 in 4\/5, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -6.65 + 476757922\nAnswer: 476757915.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1028 is divided by 79?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d + 3*o = 17, -18816*o + 18811*o + 10 = 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 100033 + 13331?\nAnswer: 120030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 39128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 2 + 2 - 2. Let i(m) = -m - 3. Let s(a) = a. Let x be s(-3). Let u(n) = x*w(n) - 2*i(n). Let v(f) = -2*f**2. Give u(v(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -50, -92, -138, -188, -242?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 12069994 or 12069989?\nAnswer: 12069994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3759c + c6?\nAnswer: 37684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find s such that -2*s**4\/7 + 99720*s**3\/7 - 1243109498*s**2\/7 + 2485022436*s\/7 + 9943280656\/7 = 0.\nAnswer: -2, 4, 24929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) be the first derivative of -4*g**2 - 5*g + 7. Find the first derivative of k(u) wrt u.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 22 (base 3) to base 4\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 13413 (base 6) in base 9?\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3984363 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*u + h = -13*h + 18*h + 48, 60 = -5*u - 5*h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 2222500 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*x + 3*u + 10 = 0, 5*x + 10*u - 6*u = -5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:21 PM and 8:54 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -4*a**4 - 772*a**3 - 67*a - 707018.\nAnswer: -16*a**3 - 2316*a**2 - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express h**2 - 8617263 + 8617265 + 143*h - 3*h**2 in the form v*h + p*h**2 + r and give v.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (-5 + (sqrt(684) + -2 + -2)*-6)*-6 + 1 + 4.\nAnswer: -106 + 216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 5280986?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = r**2 + 10*r + 16. Let b be v(-12). Solve -4*x - 5*o - 5 = 0, -2*x = -7*x + 3*o + b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w + 3*w = 170. Let u = w + -30. Suppose 6*k + 3*t = 3*k + 15, -u*t = 2*k - 14. Solve -5*x - 4*s = -25, 5*x + s + 5 = k*s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 2, o: 2, g: 5, t: 2, v: 2}. Give prob of sequence dd.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 4\/((-6)\/(-9)*-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be (125\/90)\/((-1752)\/(-903) - 2). Let v = -2\/81 + u. What is the common denominator of 169\/30 and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 849636.\nAnswer: 2, 3, 7867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 223665228?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 + (-25)\/5 - -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 416 divide 91807456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 690 minutes before 3:32 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10187985 divided by 2037597.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 2728*x - 595264 = 4243*x + 2922*x + 3947*x for x.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3980*f**4 - 3976*f**4 + 5*f**2 + 3*f**3 + f - 3*f**3 to the form v + m*f + w*f**2 + x*f**3 + p*f**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) be the third derivative of 0 - 29*r**2 + 1\/4*r**4 - 8\/3*r**3 + 0*r. Let s be o(7). What is the greatest common divisor of 208 and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 459130623*n - 86534457?\nAnswer: 459130623","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -122*k + 2322 = -728 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-20)\/(-6)*1*-6. Let r = g - -8. What is the common denominator of 97\/12 and ((-1310)\/15)\/(r + 0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -4*y + 15. Let n(f) = -9*f + 16. Determine -2*n(j) + 3*r(j).\nAnswer: 6*j + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) be the first derivative of 13*g**7 + 16*g**3 - 120. Find the third derivative of x(z) wrt z.\nAnswer: 10920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3063182*g*n**2 - 3*g*n - 260*n + 175 wrt n.\nAnswer: -6126364*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1 - 28644?\nAnswer: -28645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -0.02213 to three decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*b - 3*b**2 + 0*b)*(17022 - 7898 - 7755)*(-5 + 1 + 2)*(1 + 1 - 1 + (3 - 1 + 0)*(-1 + 2 + 0)) to a*b + x*b**2 + v and give x.\nAnswer: 24642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1646?\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 2256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = 8 + -18.5. Let f = -10.2 - s. Sort 0.4, f, 1, 34.\nAnswer: f, 0.4, 1, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2 + -3. Let q(m) = -85*m**2 + 96*m. Let s(w) = -42*w**2 + 48*w. Let b(c) = u*s(c) + 3*q(c). Find the second derivative of b(v) wrt v.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1.388 + 1.5. Round u to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 198*h - 200*h + 5*u + 55, 0 = h + 6*h + 7*u + 28 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (0 - 4) + 172\/42\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(2 + sqrt(3888) + sqrt(3888)*1 + 1 + ((sqrt(3888) + 2*sqrt(3888)*3)**2 - sqrt(3888))).\nAnswer: 144*sqrt(3) + 762060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 444453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -d**3 - 6*d**2 + 6*d - 5. Let j be -11 + 5 + 1 + -2. Let n be h(j). Solve 0 = y + n + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 124332.54 months in years?\nAnswer: 10361.045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 0.003346 to four decimal places.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -w**4 + 6*w**3 + 8*w**3 - 2*w - 35*w**3 - w**2 + 4*w**3 to k*w**2 + s*w + m*w**4 + c + f*w**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 17835 and 725.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1237?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 6, q: 2, d: 1, r: 3, k: 2}. Give prob of sequence dm.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 86479914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -16*g - 67. Let c(x) = -17*x - 63. Calculate 9*c(j) - 8*f(j).\nAnswer: -25*j - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 - -5) + -9 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 6\/3055 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rq when two letters picked without replacement from rwquuwquwgrgrgwr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh biggest value in -2\/179, 5, -2\/9, -0.12, 16, 2\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -v + 1. Let x be f(-2). Suppose 0 = x*d - 7*d - 76. Let s = -16 - d. Put -8, 5, s in descending order.\nAnswer: 5, s, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1000011100101010 (base 2) in base 12?\nAnswer: 18036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = r**2 + r + 1. Suppose 2*l - 393 = -389. Let a(t) = -t - 2. Give l*q(d) + a(d).\nAnswer: 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -585128, -585133, -585138, -585143, -585148, -585153?\n\"Answer: -5*q - 585123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - 4*b = 17, 2*f + 4 = 3*b - 5*b. What is the units digit of (15\/9 - f)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 19*k**3 - 33*k**3 + 4*k**2 + 11*k**3 + 4*k**3 + 76*k**4 to the form u*k**2 + z + b*k + c*k**4 + s*k**3 and give c.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3322 divided by -11.\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -350, -324, -284, -224, -138, -20, 136?\n\"Answer: k**3 + k**2 + 16*k - 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express -9517*g + 2 - 1423*g**2 + 19045*g - 9528*g as t*g**2 + n*g + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 50353653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a = -640 + 647. Solve 11*j = a*j + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12865.\nAnswer: 5, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -4490662 + -3?\nAnswer: -4490665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 108343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -200*c**2 - 611*c - 20. Give d(-4).\nAnswer: -776","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -157 = 3*p + 146. Let w = -100 - p. What are the prime factors of -1 + 143 - (w - (-2 + 5))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1666 + -1636. Calculate the remainder when t is divided by 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.555948011 to 2 decimal places.\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*j**3*m**2*v**2 - j**3*m**2*v + 291*j**3*m*v - 19*j**2*m**2 + 22*j*m*v + 761653*m**2*v**3 - m*v wrt v.\nAnswer: 6*j**3*m**2 + 4569918*m**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -6670 - 3586 + 319 = 523*m for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -456 - -5a?\nAnswer: -3c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4022 - 52*i - 2126 - 1896.\nAnswer: -52*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 246489?\nAnswer: 3, 82163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -11 in -4, -2\/9, 30, 1\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-35)\/20 + (-5)\/20)*-112. Solve 0 = -13*v + m - 237 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/(m*(m\/m**(-2\/3))\/m))\/m*m)**8*m*(m**(-8\/3)*m)\/m*m*m*m\/(m\/(m\/m**21)) assuming m is positive.\nAnswer: m**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 6*r**2 + 7*r - 6. Let z be n(1). Solve h - z = -4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p = 15, 0 = 2*b - 2*p - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - 2 = -12. Let o(d) = -10 + 6*d**3 - 7*d - 13 - 2*d - t*d. Let b(u) = -108*u + 292085*u**3 - 4 + 103*u - 292083*u**3 - 4. What is 17*b(n) - 6*o(n)?\nAnswer: -2*n**3 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 - 2*c**2 - 1 + (c - 2 + 4 - 2*c)*(5*c + 0*c - 3*c).\nAnswer: -4*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (128\/24)\/(((-156)\/27)\/(-26)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*i - 572 = -287 + 1079 for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*w - 2*w**3 - w**3 + 5*w**3)*(99*w - 2*w**2 + 6 - 99*w).\nAnswer: -4*w**5 + 16*w**3 - 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13050640?\nAnswer: 2, 5, 37, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = w**3 - 7*w**2 + 14*w - 14. Determine p(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1903093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 4*g - 5. Let t(p) = 3*p - 4. Let u(c) = 3*t(c) - 2*w(c). Let l be u(2). Solve l = 2*f - 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -97*s - 441*s + 147*s = -10557 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -s**5 + 4*s**4 + 3*s**3 + 2*s**2 - 2*s. Let y(g) = 2*g**5 - 9*g**4 - 6*g**3 - 5*g**2 + 4*g. Let f(u) = 7*j(u) + 3*y(u). Factor f(c).\nAnswer: -c*(c - 2)*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -3544, -7071, -10624, -14215, -17856, -21559, -25336?\n\"Answer: -2*d**3 - d**2 - 3510*d - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0002118 rounded to 5 decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from uuuuuupuuupuu.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s = 5*r + 41, 4*s - 4*r = -0*s + 44. Let p be (-58)\/(-261) + 264\/27. Suppose -5*q - p = -s*q, 0 = -4*v + 3*q - 15. Are -31 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 6, 55, -1, 3 in descending order.\nAnswer: 55, 6, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*n = 5*a + 20, -14*n + 17*n + 2 = -4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-7)\/((-56)\/(-12)))\/((-6)\/(-128)). Let k = -28 - u. Let h = k - -25. What is the remainder when 172 is divided by h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ibngq. What is prob of sequence qg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 121.9999786 - 122. Round v to 6 dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-102)\/(-24) + (-12)\/3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 15*s**2 - 18*s - 78. Let z be w(-2). Solve -27*j = -144 - z for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*h + 17 - 37 = n, 0 = -6*n + 10*n - 20 + 4 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 2, t: 5}. What is prob of picking 2 t?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -41 - -101 - -45 - (1 - (21 - 6))\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - 8 = 6. Suppose -3*g + 5 = -k. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 16 = 2*c, -2*c - 2*c = h - 11. Calculate the smallest common multiple of c and 29.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -111101111111 + 11?\nAnswer: -111101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4 in 5.2, 1\/3, 0, -2\/7, 0.14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:05 PM and 12:14 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000289230415 rounded to 7 decimal places?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 159 divide 244570620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) be the first derivative of 33*m**4\/4 + 4*m**3 - 1926*m - 2355. What is the first derivative of t(h) wrt h?\nAnswer: 99*h**2 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 355545419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 238823694?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1 + 24503536?\nAnswer: 24503535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -5, 3, -2\/25, 0?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*-2*sqrt(102) - sqrt(102) - sqrt(102))\/((-2*sqrt(72) + sqrt(72))\/sqrt(12)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 7a527 (base 12) to base 15.\nAnswer: 3353d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 5*n - 1339. Let i(v) = 33*v**2. Calculate m(i(z)).\nAnswer: 165*z**2 - 1339","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101 - 111110111011001110110?\nAnswer: -111110111011001111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 6a790 (base 12) to base 11\nAnswer: 9832a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 688 = -2*i, 6*t + i = 2162 + 2044. What is the least common multiple of t and 1260?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 269741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 27 (b) 23 (c) -72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 63*j - 116 = 65*j. Sort -2, 3, j in descending order.\nAnswer: 3, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -36330520, -36330493, -36330420, -36330277, -36330040, -36329685, -36329188, -36328525?\nAnswer: -36327672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 55 (base 6) to base 13.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -7 - -2. Let i(a) = 4*a**2 - 2*a + 3. Let w be i(n). Suppose -4*z + 3*l = -w, 5*z = l - 4*l + 148. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 0 + 12)*(0*l**3 + 0*l**3 + 3*l**3) + (l - l - l)*(3 - 3 - 2*l**2).\nAnswer: 35*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 5265 and 105495?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 14326623 (base 8) in base 11?\nAnswer: 1924067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -c - 2*a + 5111 - 1027, 2*a + 4096 = c. List the prime factors of c.\nAnswer: 2, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 12*p - 20. Give f(7).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-22)\/2 + 4 - -59. Suppose v*c - 55*c + 66 = 0. Calculate the highest common factor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) be the third derivative of -f**6\/60 + 2*f**5\/15 - 5*f**4\/12 + 2*f**3\/3 - 8*f**2. Determine o so that m(o) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/2? (a) -3\/5 (b) 2 (c) 5 (d) -5 (e) 869 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v be 52\/12 + (-2)\/(-7 - -13). Suppose -v*f + 438 = w + 180, -3*w - 201 = -3*f. What is the highest common divisor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) be the second derivative of g**7\/91 + 4*g**6\/195 + g**5\/130 + 7*g. Factor j(n).\nAnswer: 2*n**3*(n + 1)*(3*n + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 3, -147.79, -6, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*n + 8983 = 2*d - 10*n, -3*d = -6*n - 13470. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) be the second derivative of r**7\/6720 - 17*r**6\/1152 + 7*r**5\/240 + 3*r**4\/4 - r**3\/3 + 73*r. Let g(u) be the third derivative of z(u). Factor g(v).\nAnswer: (v - 28)*(3*v - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:37 PM and 3:05 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -p**3 + 3*p**2 + 3. Let m be a(3). Suppose 2*i = -d + m*d + 10, 4*i - 20 = 2*d. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 427244 is divided by 806.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 3780*o**2 + 37*o - 27. Let y(c) = -11342*c**2 - 117*c + 80. Let k(f) = 7*r(f) + 2*y(f). Find the second derivative of k(h) wrt h.\nAnswer: 7552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -d. Calculate the smallest common multiple of -4 - (-1)\/(3\/33) and t(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 20\/35*4\/8. Suppose 6\/7*o**3 + t*o**5 + 0 + 0*o - 6\/7*o**4 - 2\/7*o**2 = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1.02 + 1. Let n = 733 - 1603. Let p = n - -869.8. Which is the smallest value? (a) 2\/9 (b) p (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8224109 to the nearest integer?\nAnswer: 2868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -90046 - -380.\nAnswer: -89666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: ((-222)\/(-3071))\/((-278)\/(-426869))\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-20)\/75*(3 - 8). What is the nearest to 1 in 3, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 83533 is divided by 33.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b = 21 - -4. Let v be 4\/10 + (-535)\/b. Is 1486\/(-6)*(v\/7)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -58*v - 1080. Does 4 divide s(-40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 3, b: 3}. What is prob of picking 3 b?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = -2*m - 7, -2*t + 27*m = 28*m - 14. Let b(v) = -v**3 - 9*v**2 + 6. Let d be b(-9). Let k be (2 + 4)\/((63\/d)\/t). Solve -k*z + 0 = 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 20 - 36. What is the third biggest value in 3, -4, 1, 1.5, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -7\/67 and -101\/552?\nAnswer: 36984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 657012.1 centimeters to micrometers.\nAnswer: 6570121000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be 652\/325 - 3 - -1. Let d = -4193\/5200 - m. Calculate the common denominator of d and 69\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.2 (c) 3\/2 (d) -13\/2597\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5.2 - -9.2. What is the closest to -0.3 in h, 1, 3\/5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -2*v**2 + 95*v - 57. Let h(b) = -4*b**2 + 143*b - 86. Let f(r) = -5*h(r) + 8*s(r). List the prime factors of f(-17).\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.15 + 0.35. Let p = -0.4 - -0.1. Let l = x - p. Put 0, 2, l in increasing order.\nAnswer: 0, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s = f - 133 + 120, 7*f = 5*s + 11 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7*((-112)\/42)\/8.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 1 - 1)*(-2*s**5 - s**5 + s**5) + (-s**4 + 0*s**4 + 3*s**4)*(3*s - 3*s + 2*s) - 3*s**4 + 3*s**4 + 2*s**5 - 88 + 88 - 47*s**5.\nAnswer: -37*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 35 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-24)\/(-42)*(-105)\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 398 = 4*j + 229, 0 = -j + c - 156. Let u = j - -446. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {e: 4, k: 1, v: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 1, s: 5, m: 11}. What is prob of picking 1 s and 1 m?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 5) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1 + -1 + 2 + -1. Suppose 3*b - 3 = -3*i, -5*b + 5*i + 8 = -17. Let k = b - x. Solve -k*o - 2 = -4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 854 is divided by 853.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4 - -6. Let s(j) be the first derivative of -j**2\/2 + j - 2. Let n(o) = -o**2 - o + 1. Let c(x) = h*s(x) - 2*n(x). Let k(y) = -2*y. What is c(k(z))?\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 5*m + 25 = t, -5*t + 19 = -2*m. Suppose 5*g - t = 10. Solve -4 = g*p - 5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 372.44606 - 372.3. Round n to three dps.\nAnswer: 0.146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -cb + 75?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 277*x**4 + 15*x**2 + 453*x - 5. Let m(d) = -3*d**2 - 2*d + 1. Let y(s) = k(s) + 5*m(s). What is the second derivative of y(g) wrt g?\nAnswer: 3324*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (0 + 78)\/(4 + -2). Suppose -k = -m + 93. Suppose -3*a + 297 = -m. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 221*m - 8811. Give j(40).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(475) + -2 + 2 + sqrt(475))*6*-3 - 5*(-1*(sqrt(475) + sqrt(475)*3))**2*5.\nAnswer: -190000 - 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-3)\/5)\/3 - (-6228)\/15. Suppose -y = 10*s - 15*s. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 252926415 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sum 203029729 and 5646.\nAnswer: 203035375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Add -5 and -527.1.\nAnswer: -532.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-3\/4))**(-40)*q*q\/(q*q**(-11)*q)*q**(2\/7) assuming q is positive.\nAnswer: q**(289\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (31\/3100*20)\/(-7).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -72 + 72.86. Let y = c - 39.86. Let a = -38.7 - y. Sort 1, a, -4\/5, -4 in descending order.\nAnswer: 1, a, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Factor t**3 + t**3 + 3*t**4 + 6*t + 4*t**2 - 8*t**3 - 7*t**2.\nAnswer: 3*t*(t - 2)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = a. Let x(b) = -71*b**2 + 3*b**2 - 55*b**2 - 70*b**2 - 3. Calculate x(z(y)).\nAnswer: -193*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -3*v**3 - 6*v**2 - 5*v + 5. Let w = -348 - -228. Let f be (2\/(-4))\/((-15)\/w). Is c(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:58 PM and 2:24 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 + -3 - -10) + (75 - 101025\/1200)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -9866 - -9872. Suppose 11 = 5*h + 4*u, 3*h + 2*u - 17 = -3*u. Put 5, f, h, 0 in increasing order.\nAnswer: h, 0, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5138.4618 minutes in days?\nAnswer: 3.56837625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find f such that 2*f**3\/13 + 44568*f**2\/13 - 668862*f\/13 + 2408292\/13 = 0.\nAnswer: -22299, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-72)\/10*(-385)\/308.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 + 12 = 2*r. Let d(g) = -5*g - 10. Let h(v) be the second derivative of -v**3\/6 - v**2 - v. Calculate r*h(p) - 2*d(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 169209135 is divided by 2118.\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -1365*h = -94662 + 29142 for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = a - 7. Let v be j(5). Suppose 2*u - 10 = -0. Let k = v + u. Solve -4*q - 2 = 3*t - 0*t, -3*t = k*q + 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -p**2 + p + 65. Is g(0) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 53\/1635333 and -79\/9800?\nAnswer: 2289466200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-5)\/(-3)*(6 + -3). Suppose 2*u - t = 9. What is the highest common factor of 63 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 12424\/3*m + 19294472\/3 + 2\/3*m**2.\nAnswer: 2*(m + 3106)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -24 - -23.8. What is the closest to 3 in 0.1, 0.2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -24.15 + 24. Which is the nearest to 1\/2? (a) 1 (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q + 52 = -4*j, -20*q + 22*q = -4*j - 40. Let n(r) = r**3 + 8*r**2 + r + 6. Determine n(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 165 and 19485?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = x**3 + x**2. Suppose 3*s = 8*s + 2*r - 8, 0 = 2*s + 4*r. Let t(g) = -19 - 7*g**3 + 2*g + 0*g**2 - 5*g**s + 20. Determine -5*o(a) - t(a).\nAnswer: 2*a**3 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 74\/6561 and -121\/810.\nAnswer: 65610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1887 + -1886.9997289. Round n to 6 dps.\nAnswer: 0.000271","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -38\/2035 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 6295567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = 531 - -158. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0*u + 20*u**3 - 72*u**3 + 32*u**3 + 1 + 2*u in the form k*u**3 + o*u**2 + w + n*u and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide 1346 by 288956.\nAnswer: 673\/144478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.1 - 0.18. Let j = 0.02 - g. Is j at most -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1128799 is divided by 332.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = 12601 - 6471. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 433620 + 1?\nAnswer: 433621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1491262500 divided by 142025?\nAnswer: 10500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide -56880 by -16.\nAnswer: 3555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 10819 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + 2 + sqrt(25)\/(sqrt(5) - sqrt(500)))**2.\nAnswer: -10*sqrt(5)\/9 + 2030\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 12776, 25543, 38310, 51077, 63844, 76611?\nAnswer: 89378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -85*k**3 - 30 + 30*k**2 + 0*k - 5*k + 90*k**3.\nAnswer: 5*(k - 1)*(k + 1)*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 801 - 431. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/33? (a) 0.1 (b) -2\/15 (c) 0.022\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 2 - 2 - (-3 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be 24\/8 + 0*1\/(-3). Solve -y*n + 20 = 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -144*m**3 - 11*m**2 - 3*m wrt m.\nAnswer: -864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 124.7 - 125. Put 6, l, -5, 0.2 in descending order.\nAnswer: 6, 0.2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 9734*(34\/(-40) + 0). Let x = m - -8281. Find the common denominator of 151\/12 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 8206671?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*i**2 + 908*i - 1955*i - 46 + 1004*i to the form k + s*i + x*i**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 11, c: 5}. What is prob of sequence ccm?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find s, given that s**5\/9 + 157*s**4 - 55138*s**3\/9 + 4214*s**2\/9 + 2031883*s\/3 - 27373115\/9 = 0.\nAnswer: -1451, -11, 7, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 21999315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = -76.0221 - -0.3621. What is z rounded to the nearest integer?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -225*h - 556 - 1019 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -q**3 + 8*q**2 - 8*q + 12. Let o be f(7). Let g = o - 14. Let w = g - -17. Calculate the remainder when 22 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3404 + 20315\/6. Calculate the common denominator of r and -133\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 65\/126 and -47\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2567380566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i**2 + 90615*i + 14995340 = 0. Calculate i.\nAnswer: -164, 18287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-1\/4)\/z**(-7))\/((z\/z**(2\/13))\/(z*z**12)))**(-7\/6) assuming z is positive.\nAnswer: z**(-6881\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -2 bigger than -8\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -34 divided by -7\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1.222 times 40268?\nAnswer: 49207.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*k**3 + 196*k**2 + 1836*k - 14580.\nAnswer: 4*(k - 5)*(k + 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s + y + 9 = 2*s, 0 = 5*s - 2*y - 20. Suppose 10 = -2*d + s. Let f = -4.5 + 4. Sort d, f, 0.06.\nAnswer: d, f, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*f**2 + 153*f + 652 - 153*f.\nAnswer: 5*f**2 + 652","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - a = -0*a - 1, -5*c - 20 = -5*a. Let z be (-2 - (c + -1830003))*1. Round z to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.93 minus 1930?\nAnswer: -1929.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 218, 661, 64?\nAnswer: 661","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -n**2 - 15*n + 21. Let f(j) = -3*j**2 - 43*j + 63. Let i(d) = -2*f(d) + 7*v(d). Give i(-19).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -54*y + 108*y - 55*y + y**2 - 30 + (-3*y**2 + 3*y**2 - 2*y**2)*(1 + 3 - 1).\nAnswer: -5*y**2 - y - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*q**2 - 3*q**2 + 6*q**2)*(3*q**2 + 0*q**2 - 5*q**2) + (58*q + q**2 - 58*q)*(-5*q**2 + 2*q**2 + 4*q**2).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -6*l**2. Let y(t) = 42*t - 4. Give a(y(z)).\nAnswer: -10584*z**2 + 2016*z - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 + 1 - (-6 + (-72)\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 90512077 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -2*t - 6. Let b be 3 - (-3)\/9*t. Suppose -2*y - 6 = 5*v - b, 0 = -2*v + y + 7. Calculate the remainder when 3 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -15*g - 49. Let d be b(-8). Let k = d - 72. Let h(i) = -i - 1. Calculate h(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -f**2. Let b(p) = -230*p**2 - p + 1. Give -b(t) + 5*z(t).\nAnswer: 225*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhhzzzhhhzhzhhzvzhhh. What is prob of picking 2 z?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rccrrrrrrrrrr. Give prob of picking 2 r.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9*h**3 - 141*h**2 - 19*h**3 + 136*h**2 to the form p + m*h**2 + o*h + n*h**3 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - y = -2*k + 14, -5*y - k + 35 = 0. Suppose 21959 = y*s - 0*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -17627, -35266, -52909, -70556, -88207, -105862, -123521?\n\"Answer: -2*q**2 - 17633*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -253*a**2 + 157. Let x(y) = -125*y**2 + 79. Let r(l) = 11*x(l) - 6*z(l). Differentiate r(b) wrt b.\nAnswer: 286*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 12403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -4*q - 2. Suppose 5*i - 17 = 13. Let r(h) = -6*h + 3 - 8*h**2 + i*h - 2. Give r(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2035300068 to the power of 1\/2, to the nearest integer?\nAnswer: 45114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x**4 - 3399516*x**3 + 1444588629282*x**2 = 0 for x.\nAnswer: 0, 849879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 60048 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 51 - 47 = q. Let p(h) be the third derivative of 0*h**q - 1\/120*h**6 + 0 + 0*h**3 - 1\/60*h**5 - h**2 + 0*h. What is the third derivative of p(k) wrt k?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -144 - -232?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1381345 and 315736?\nAnswer: 11050760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 + 28 = 6*c. Suppose -c*h - 12 = 4*a - 4*h, -4*a - 28 = 2*h. Let i be (-6)\/((23\/a - -4)*1). Solve -x + i = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-5)\/20*(-1 - -1). Suppose z = 4*a + 2*r - 984, 3*a + 2*r = 6*r + 727. What is the greatest common factor of 98 and a?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 41? (a) -0.01 (b) 5 (c) -16 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 36113902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 5608788589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4\/333 - -218\/333. Sort -1, -3, 3\/5, h in decreasing order.\nAnswer: h, 3\/5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 24 - 6 = -6*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l be 10\/(((-4)\/(-6))\/((-8)\/24)). Let q be 13 + 0 + (60\/l)\/(-4). What is the greatest common divisor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3 - 3 - 332*-44. What are the prime factors of h\/240 - 4\/(-30)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 100*l - 104*l + 4*r - 14204, 3*r - 3545 = l. Are l and -3555 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -s**2 - 9*s + 141. Let m be w(-17). Sort m, -2, 18 in ascending order.\nAnswer: -2, m, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 547132 and 2752.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 584 minutes before 11:27 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide 5910 by -6.\nAnswer: -985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -3704109 at least as big as -3704072?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = 30 + -20. Suppose -4*l + 19 - 3 = 0. Suppose 0 = 3*q - 3*f - 39, q - l*f = -q + 30. What is the least common multiple of i and q?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(448) + 4 + 3 + 4)**2.\nAnswer: 176*sqrt(7) + 568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 105, 115, 125, 135, 145, 155?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -12*r + 81. Let p be v(13). Let g = -79 - p. Which is the third biggest value? (a) -2 (b) -1 (c) 0.02 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + 7 + 24 + -25 - (-6 + 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 135 and 846?\nAnswer: 12690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = z**2 - z - 4*z**2 + 4*z**2. Let a(w) be the first derivative of -w**4 - 4*w**3\/3 + 2*w**2 - 96. Determine -a(q) - 4*b(q).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = -320 + 324. Suppose -2*q = s - f*q - 61, -4*q = -3*s + 193. List the prime factors of s.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -1682, 3\/5, 50, -31, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 7 + -5. Suppose -4*f = -3*w + 19, -3*f + 2 + 0 = w. Find the third derivative of 4*x**5 + 4*x**5 + 0*x**w + 0*x**5 + 25*x**z wrt x.\nAnswer: 480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -5327435765 to the nearest 100000.\nAnswer: -5327400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 352511, 352513, 352515?\n\"Answer: 2*b + 352509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*l - 4*l + 6*l)*(5*l**4 - 4*l**4 + 0*l**4) - 68 + 68 - 35*l**5 + (2*l**3 - 4*l**3 + 0*l**3)*(l**2 + 2*l**2 - 4*l**2) + 3*l - l**5 - 3*l.\nAnswer: -35*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k be (13\/65)\/(2\/6). Which is the smallest value? (a) k (b) -4\/5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1\/47 (b) -0.16 (c) 8585 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 + -2 - -3) + 56 + -48?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let 5*j**5\/4 - 15*j**4\/4 + 5*j**3\/4 + 15*j**2\/4 - 5*j\/2 = 0. Calculate j.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -47\/13908 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (18\/15)\/(21\/10)*9\/6?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -39*q**5 - 41*q**5 + 75*q**5 - 2*q**4 + (2 + 3*q - 2)*(6*q**4 - 6*q**4 + 4*q**4).\nAnswer: 7*q**5 - 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2695) + -2*sqrt(2695))\/(sqrt(180)*1))**2.\nAnswer: 539\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 8, -0.3, 1\/2, 25.53?\nAnswer: 25.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*u = 11*u - 20. Suppose c - 2*g - g - 8 = 0, 2*c + u*g = -4. Suppose 9 - 13 = -c*j. Solve -j*a + 3*a = 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1562875 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express (-677 + 677 + 718*u + 577*u)*(-6*u + 8 - 8)*(-5*u**2 - 8*u**2 - u**2) in the form h*u**4 + f + a*u**2 + o*u**3 + z*u and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = 25228313\/98452 - -3\/24613. Let o = l + -255. Factor -1\/4 - o*f - f**3 - 2*f**2.\nAnswer: -(f + 1)*(2*f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ayyyaamymymya. Give prob of sequence ymy.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {l: 2, y: 10}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = -8 - -11. Suppose -3*h + 36 = -4*u, 5*u = k*h - 2*h - 23. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8516187 to the power of 1\/4, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -42*15.\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 191997332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y*(y\/y**(-4\/13))\/y*y)\/y*y)**(-30)\/(y\/(y**(2\/67)*y))**(-2))**(1\/4) assuming y is positive.\nAnswer: y**(-15088\/871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -10*v - 45. Let q be j(-7). Suppose 0*b = -4*b + 3*a + q, 4*b - 10 = -2*a. Solve 2 = 2*x - b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:49 PM and 12:42 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -43, -163, -363, -643, -1003, -1443?\nAnswer: -1963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be 12\/(504\/161) - 1\/(-6). Sort -29, 2, m in increasing order.\nAnswer: -29, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 76 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r*r\/r**3*r*(r*r**(-1\/7)*r)\/r)\/(r**(2\/3)*r*r*r\/(r*r**(-6)*r)) assuming r is positive.\nAnswer: r**(-122\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 131130 + 21?\nAnswer: 131211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -116 (base 7) to base 6.\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*u + 9 = -3*u. Let x be 1*(-13)\/u + 4. Put 1, 5, x in descending order.\nAnswer: 5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (441*f - 166*f - 817*f)*(-2 - 2 + 2 + 4 - 5 + 0 + (1 - 4 + 1)*(-4 + 1 + 4) - 4 + 5 - 2) + (3 - 3 + 2*f)*(3 - 2 - 5).\nAnswer: 3244*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y = -51 + 61. Let t be (-272)\/(-44) + y\/11. Solve -3*v - 15 = -t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = h**3 - h**2 - 2*h + 43915. Is i(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5375355 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -32, -120, 122, -1 in ascending order.\nAnswer: -120, -32, -1, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 551*h - 383*h + 17745 = -1015*h for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = -36 + 62. Solve -3*f - 2*i + 14 = -4*f, 4*f - 2*i = -b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*y**2 + 0*y**2 + 98*y**2.\nAnswer: 93*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -26*i**5 - 6*i**4 - 6*i**3 - i - 6. Let o(v) = -v**5 + v**4 + v**3 - v + 1. Let t(x) = 6*o(x) + p(x). What is the second derivative of t(l) wrt l?\nAnswer: -640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -13 - -55. Let r = -40 + v. Let y = -7 - -5. Which is the closest to r? (a) y (b) -2\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*q + 250*d = 434, 6*q - q - 7*q - 5*d + 21 = -q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8)\/(-32)*1*5.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3496 is divided by 1734?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = n**2 - 11*n - 7. Let l be s(12). Let g be 6\/2*4\/6. Suppose -h = -g + 3. Is l bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*i - 396 = -12*i. Does 8 divide 277 - i - (-1 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4.290257ml to litres.\nAnswer: 0.004290257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -6083 take away 35543?\nAnswer: -41626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 33037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 1481 = 3*k, 1175 = 2*d + 4*k + 447. Let a be (720 - 1)*(-5)\/10. Let x = a + d. Calculate the common denominator of -125\/18 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - 2*f - 6 = 0, 2*d + 5*f + 37 = 22. Let t = -9 + 13. Which is smaller: d or t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -65\/1568 and 43\/32026.\nAnswer: 25108384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 19 - (49 - 30) - (8 + -1 - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -157, -633, -1427, -2539, -3969, -5717, -7783?\nAnswer: -10167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11201 - -212110002?\nAnswer: 212021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y be (1459266\/15 + 6)\/(2\/(-505)). Let d = y - -5265826. What is d rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((3\/3)\/(-4))\/((-12)\/48).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 16 + -26. Let z(w) = 6002*w + 20. Let b be z(j). What is b rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/2, 2, -537.55.\nAnswer: -537.55, -1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 516757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-2938)\/(-63) - 10\/(-45). Let p = d + -47. Which is the third smallest value? (a) p (b) 1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 782*y + 7034. Determine u(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -z**3 - 8*z**2 + 22*z + 24. Let i be w(-10). Suppose -i*p = -0*o + 4*o - 20, 4*p - 11 = -o. Factor -2\/7*x**p - 2\/7*x**3 + 0 + 4\/7*x.\nAnswer: -2*x*(x - 1)*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-3)\/5 + (-2044)\/(-365). Suppose j*a - 450 = -440. Solve 0 = -2*f + 5*o - o - a, -5*f = 3*o - 34 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -2*m**3 + 1. Let o(n) = n**3 + n**2 + n + 1. Let b(i) = -2*i**3 - 2*i**2 - 2*i. Let s be -1*4\/8*-2. Let h(a) = s*b(a) + o(a). Give -h(d) + v(d).\nAnswer: -d**3 + d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/(-4)*6\/((-26)\/(4030\/(-15)))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Subtract 7.5 from 9446.\nAnswer: 9438.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*q**2 - 2*q + 2*q)*(-q + 2*q - 2*q + (2*q - 2*q - 2*q)*(-1 - 4 + 4) - 10 + 10 - 4*q).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 6948028 divided by -1737007\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 771726617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 6*m**3 - 5*m**2 - m. Let f(c) = c**3 - c**2. Let u(b) = -a(b) + 5*f(b). Determine u(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes before 2:21 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 14971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6011?\nAnswer: 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 0.03286353 to three dps.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*f - 6*z + z + 445, -3*f - 2*z = -430. Suppose -2*s + 104 = -4*a, f = -5*a + 5*s - 0*s. Which is greater: a or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 + -6 + 18 + -9 + -22.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 459 minutes before 8:10 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 107, -0.1, -0.2?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 330\/60*16\/264.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 4098*i + 57. Let r(x) = -2049*x - 34. Give -3*h(v) - 5*r(v).\nAnswer: -2049*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-15)\/(-135)*(-39)\/1*1.\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7, 13, 35, 59, 85?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*i - 45 = 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v + 32 + 41 = -2*x + 42, 0 = -12*x + 4*v - 16 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = -3*a - 2*l, -l + 2 + 17 = 4*a. Suppose -2 - a = -y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-1)\/(-1 - -47))\/((-14)\/(-28)). Sort -3\/4, r, -4\/7 in ascending order.\nAnswer: -3\/4, -4\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = f**3 - 17*f**2 + 54*f - 36. What is i(13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1496, -1497, -1498?\nAnswer: -1499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*m + 25, 0*k = k - 5*m - 70. Suppose 9*v - k = 432. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 20, 13, 6, -1, -8, -15?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 64\/5 of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 387 minutes after 6:58 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11 - -21?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -160, -208, -284, -388?\n\"Answer: -14*f**2 - 6*f - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 28*b**3*d**2*j**2 - 9*b**3*d*j**3 + 2*b**2*j**3 - 5*b*d**2*j**3 - 3*b*d*j**3 + 3*d**2*j**2 wrt b?\nAnswer: 168*d**2*j**2 - 54*d*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide -1740 by -435.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 7*h**2. Let a(c) be the first derivative of -8*c**3\/3 + 83. Determine w(a(d)).\nAnswer: 448*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 7051432, 14102738, 21154032, 28205308, 35256560?\n\"Answer: -d**3 + 7051313*d + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23 is divided by 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 952070991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 9722167 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -711, -713, -715, -717, -719?\n\"Answer: -2*m - 709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 45982811*g**3 + 28294060*g**2.\nAnswer: 275896866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:22 PM and 8:34 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = l + 2. Let w(m) = -2*m - 4. Let q = -59 + 34. Let d = -31 - q. Calculate d*w(a) - 11*r(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/11)\/(99 + (-102790)\/1045).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -5342 + 8976. What is the remainder when c is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*u**3 - 2*u**3 - 4*u**3)*(-4*u - u + 7*u)*(5 + 1 - 4).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2721 is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is a - -4701?\nAnswer: 470b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -29235 + 29190 - (2 - (-7 - (0 - (-2 - -3))))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 114*79217.\nAnswer: 9030738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.2*-0.09.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-204 - -180) + (0 - (0 - -3)) + 12?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.2 and -0.06?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.848*-9648.\nAnswer: -8181.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ey when two letters picked without replacement from ujijeiyjee?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 131.7674km in micrometers?\nAnswer: 131767400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*t + 8 = 2*c - 7*t, -t - 20 = -5*c. Put -29, -2, c, -1 in descending order.\nAnswer: c, -1, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*y - 3*y + 15. Let j(b) = 4*b + 19. Let z(o) = o + 1. Let r(s) = y*z(s) + j(s). Let f be (-48)\/(-9) - 4\/(-6). Calculate r(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -283356 divided by 153.\nAnswer: -1852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 807.2319 to zero decimal places.\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 49, 348, 1081, 2440, 4617, 7804?\n\"Answer: 32*d**3 + 25*d**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -20065223*n**3 + 5304272*n**2.\nAnswer: -120391338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 49285.\nAnswer: 5, 9857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that u**2 + 3*u**3 + 0 + 0*u + 5\/4*u**4 = 0.\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 933 divide 11125092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s be (1*2)\/(-5*(-6)\/(-5031)). Let l = s + 336. Suppose 0*x - 3\/5*x**3 + 0 + l*x**2 - 3\/5*x**4 + 3\/5*x**5 = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve p + 20 = 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide 762123 by 3.\nAnswer: 254041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 96 + 13*f - 96 - 34*f.\nAnswer: -21*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-30)\/(-8) - 24\/32. Let w be ((-1)\/3)\/((-18)\/81). What is the nearest to 3 in -0.5, w, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1676498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 908 divided by -54\nAnswer: -454\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + ((sqrt(3) + sqrt(96)\/sqrt(2) + 0)**2 - (sqrt(768) + -1 - sqrt(48))).\nAnswer: -12*sqrt(3) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -3*j + 9. Let v be w(4). Let h be 18\/(-9)*(-2)\/v. What is the second biggest value in 0.4, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-3)\/4*(-64)\/(-168). Let j = -7 - -12. Let g = j - 5. Which is the nearest to g? (a) 2\/19 (b) 3\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.1127 - 0.106512. Round j to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 166.785 + -166. What is n rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6 + -5. Let t be (0 + 0)\/(3 - k). Suppose p + t = 3. Solve -4*w + 5 = -f, -p*f - 3 = -3*w - 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 35 + -37. What is the closest to -1 in 0.1, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2\/3249 - -1085\/3249. Put 4, -18, z in decreasing order.\nAnswer: 4, z, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4*(-5)\/40 - (-309407)\/14 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, -50, 108, -4\/3, -0.05, 9 in decreasing order.\nAnswer: 108, 9, -0.05, -0.5, -4\/3, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 21246 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 139089990 to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**(-4)\/b**1*b\/(b\/(b**1*b*b))*b*b*(b\/b**(-1\/2))\/b*b*(((b\/((b\/(b*b*b\/b**2))\/b))\/b*b)**(18\/7))**24 assuming b is positive.\nAnswer: b**(1749\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -71027 - 49086 = -1268*g + 26975 for g.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 205269428 and 136334?\nAnswer: 2257963708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-2 + (sqrt(300) - 5*(sqrt(300) + 4 + sqrt(300)))**2).\nAnswer: 10800*sqrt(3) + 74094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*h = 35*h - 16*h. Solve w = -3*f + 6, -2*w = -h*f + 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 330 is divided by 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1*((0 - -1) + 3). Factor -q**5 - 2*q**3 + 4*q**d + 0*q**4 - q**4.\nAnswer: -q**3*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 639 minutes before 5:20 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = 3*u + 3. Let i(k) = -26*k - 187. Suppose -5*m = -2*m - 4*h + 29, 5*m = -h - 33. Let g be i(m). What is n(g)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13340122 (base 5) in base 10?\nAnswer: 136912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 60 = -p + 7*p. Calculate the smallest common multiple of 16 and p.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -221322 + -11?\nAnswer: -221333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + -3 + 1 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3260, 13028, 29308, 52100, 81404?\nAnswer: 117220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1.5 - -1.7. Suppose -4*b - 8 = -4. Let k be (1\/b - -1)\/(-1). What is the nearest to 2\/3 in n, k, -2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + -3*sqrt(8) - (5*sqrt(8) + 2))*-5.\nAnswer: 10 + 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 6 (b) -3 (c) 3 (d) -0.3 (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3*a**2*u**3 - 1032*a*s*u**3 - a*s*u + 4*s*u + 44736*u**3 wrt a.\nAnswer: 6*a*u**3 - 1032*s*u**3 - s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i = 0, 4*h + 7 + 1 = 3*i. Suppose 3*n - 214 = -886. Let d be -1 + (n\/2)\/h. Calculate the highest common factor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 2\/27 - (17 + 11200\/(-432))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4)\/((-8)\/(-2))*0. Suppose 1\/4*c**5 + 0 + 0*c + 0*c**2 + t*c**3 + 0*c**4 = 0. What is c?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -31*m + m**3 - 18*m + 52583*m**4 - 55663*m**4 - 9 - m**3 wrt m?\nAnswer: -36960*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*c + 216 = -88. Let f(u) = u - 4. Suppose 4*h - 23 - 1 = 0. Let g be f(h). Calculate the greatest common divisor of g and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*sqrt(76)\/(sqrt(12)\/sqrt(3))*3.\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3147 and 352939197.\nAnswer: 3147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 100, 9, -1\/2, 4, -0.3, 1.6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gzmcgzsszczszzsbzczs. Give prob of picking 1 m, 1 c, and 1 g.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(19\/4)\/u*u**(-8\/9)\/u assuming u is positive.\nAnswer: u**(67\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = 14*k**3 + 2*k**2. Let a be l(1). Suppose -q + 45 - a = 0. Is q a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2 (b) -84 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 98*z + 14729. Determine r(-150).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 55 - 288 - 67*y + 132*y - 67*y.\nAnswer: -2*y - 233","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 89563.26 milligrams?\nAnswer: 89563260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c be 75\/30*(-4)\/(-2). Put -5, c, -57, 2 in ascending order.\nAnswer: -57, -5, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 333 + -124. Suppose 0 = 4*b - h - 407. Let k = b + 167. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -9, 8, 21, 30, 35, 36?\n\"Answer: -2*w**2 + 23*w - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) be the third derivative of g**5\/60 - 19*g**4\/8 + 175*g**3\/3 + 52*g**2 + 12. Solve b(j) = 0 for j.\nAnswer: 7, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 49465 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 395118 is divided by 197542.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 55*j**3 + 7*j + 2 wrt j?\nAnswer: 330*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -17*w + 472. Let v be s(28). Let j = 2 - 9. Sort v, -1, j.\nAnswer: j, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -6*h - 52. Let o be f(-10). Suppose -12 = -3*g - 3*s, 5*s = 3 - o. Is g less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is c7 - -5cd4?\nAnswer: 5dbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 2*f. Let r(h) = -2356*h. Let i(u) = u**2 - 15*u + 31. Let s be i(3). Let m(c) = -942*c. Let w(x) = s*r(x) + 12*m(x). Give t(w(a)).\nAnswer: 952*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4 + -136?\nAnswer: -13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 k when two letters picked without replacement from rkrrk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 109575, 224047, 338521, 452997, 567475, 681955?\n\"Answer: o**2 + 114469*o - 4895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 24 in -946339, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 10311 + 31040313?\nAnswer: 31101124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = 10043\/714 - -12\/119. What is the common denominator of f and 51\/29?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 2*d + 0)*(2*d**4 + d**4 - 5*d**4) + 1687*d**4 - 1687*d**4 + 5*d**5 + 4*d**3.\nAnswer: 9*d**5 + 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 2036001817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41 = 2*o - 63. Let c = -37 + o. Let a(t) = t**3 - 14*t**2 - 7*t - 14. What are the prime factors of a(c)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -13395 by -141.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*u + 3266 - 673 + 137 + 509 - 203*u**2 wrt u.\nAnswer: -406*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 163208 and 56.\nAnswer: 1142456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = 22160 + -11497. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**10)**(21\/4))**(5\/14) assuming g is positive.\nAnswer: g**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 16101 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify y**(-2\/45)*y*y\/(y\/(y*y**(7\/4))) assuming y is positive.\nAnswer: y**(667\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hf when two letters picked without replacement from {f: 2, r: 2, j: 1, u: 1, h: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*q**3 - 5*q - 28015 - 3*q + 8*q + 28012.\nAnswer: 15*q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 6178776 (base 9) in base 16?\nAnswer: 325afa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*g**4 + 42330*g**3 - 83491980*g**2 + 62568940280*g - 16245316697280 = 0.\nAnswer: 814, 6024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -1212 (base 3) to base 14\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 27598570 is divided by 9199332.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) be the first derivative of -20*f**2 + 27*f - 42. What is the first derivative of j(g) wrt g?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -14 - -8 - (-2 - 10\/(-5))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o - 10 = -2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u = -6*u - 60. Suppose 30*t = 16*t + 168. Is 3 a factor of 24\/2 - -5*t\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = -10.21 + 9.88. Let t = m - -0.13. Which is the second biggest value? (a) 4 (b) t (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25\/10*5624 + (-2 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xnn when three letters picked without replacement from {e: 1, x: 5, n: 7}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 289127140337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1315835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -14*v**2. Let l(a) be the first derivative of -2*a**2 + 48 - 8 - 6. What is l(c(m))?\nAnswer: 56*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -3, -3\/11, 0.2, 5, -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -942, -4772, -8598, -12426, -16262, -20112?\n\"Answer: -t**3 + 8*t**2 - 3847*t + 2898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0 + 0 - 2*i)*(-2 + 1 + 2) + 0*i - 2*i + 0*i)*(-2*i - 5*i + 3*i).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5200\/418100)\/26*(-37)\/(-1)?\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 364.5 and 5?\nAnswer: 1822.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from iziidiiidziz. What is prob of picking 1 i, 2 z, and 1 d?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2929?\nAnswer: 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 184 and 36488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.02, -4\/51, -43, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -o. Let v be d(-4). Let l(x) = -x - x + v*x. Let z(m) be the second derivative of 2*m**3\/3 - m. What is z(l(g))?\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 26*r + 435. Let j be p(-17). Let x(q) = -q**3 - 5*q**2 + 15*q. Calculate x(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 3234 and 4116?\nAnswer: 45276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -5020015 (base 6) to base 16\nAnswer: -3996b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 2*m + 92 = 0. Suppose 145 + m = 7*k. Let u be 2 - (-33)\/18 - (-4)\/k. Solve 2*z + 0*z = 2*f + 4, -3*f - 9 = -u*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 739 divided by -26326?\nAnswer: -739\/26326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 0*b + 4*x = -6, 1 = x. Find the third derivative of 7*a**b - 195*a**4 - 4*a**2 + 184*a**4 wrt a.\nAnswer: -264*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor j**2 - 106180*j + 5836875.\nAnswer: (j - 106125)*(j - 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*d - 5*a + 1 - 8, -3*d - a - 9 = 0. Let j = d - -11. Suppose -8*l**2 + j*l**4 + 3*l**3 - 6*l - l**2 + 7*l**5 - 4*l**5 + 0*l**2 = 0. What is l?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 4267920 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -p**2 - 7*p**2 - 4*p**2 + 3 - 2*p**2.\nAnswer: -14*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 71 a factor of 1846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 3 + -18?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-4)\/(-7))\/((-6)\/(-42)). Sort -2\/5, -2\/3, 0, d.\nAnswer: -2\/3, -2\/5, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 191976 = 69*h - 75*h. Let n be (1625\/(-2))\/(2 - h\/(-16000)). Round n to the nearest 100000.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/2005 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -663*s + 7717 - 1205 = -781 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*b**5\/6 + 5*b**4\/6 + 17*b**3\/2 + 7*b**2\/6 - 22*b\/3 - 2 = 0.\nAnswer: -2, -1, -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 13342 - 21?\nAnswer: 13321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = 746 + -515. Let f = n + -245. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*t - 21*t = -3*o + 6582, -5*o + 10993 = t. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 180 + -179.834. Let o = -3.884 - u. Let t = -0.05 - o. Which is the nearest to -1? (a) 2\/11 (b) -0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 300 + 316 = -44*t for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*i + p + 6538 - 22196, 2*p + 9387 = 3*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000289775 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = q + 10. Suppose 2*o - 6 - 2 = 0. Let a(m) = -2 + o - 2 + 1. Give -18*a(f) + 2*v(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 12548 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -0.1, -115, 5, 2, 50, -1\/3 in ascending order.\nAnswer: -115, -1\/3, -0.1, 2, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3563*w + 1806*w**3 + 19 - 1789*w - 1774*w with respect to w.\nAnswer: 5418*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:42 AM and 4:42 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = -2*c + 5*v, c - 3*v + 5 + 3 = 0. What is the greatest common factor of 112 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (0 - 3) + -1 - -1. Let v(l) = -l**3 + l**2 - l - 2. Let i be v(0). Calculate the common denominator of -47\/36 and i - (q + (-69)\/(-120)).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 5*k**2 - 24*k - 1. Give z(10).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o be (3 - 0) + 1\/(-1). Suppose 3*z = 3*d - 12, -5*d = -z - o*z - 24. Calculate the remainder when d is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y = 5*k + y - 4695, 2*k = 5*y + 1905. Is 47 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*f = 9*f - 29*t - 174, -t - 6 = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 443 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -z**2 - 2*z - z**2 + 97 - 101 - z**2 to y*z + g + d*z**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -128 in -1\/5, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -9 + 13. Suppose -7*w + 12 = -y*w. Suppose -2*f + w*c + 150 = 0, -4*c + 37 = 4*f - 215. Calculate the remainder when f is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -26 + 66. Let t be (-3 - -1) + 0 - -62. What is the greatest common divisor of t and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2304289 is divided by 17862?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 17, 25, 35, 47, 61, 77, 95?\n\"Answer: z**2 + 5*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 4*k = -12, -3*r + 4 = -0*r - 2*k. Suppose t = r*m - 104, -4*m + 4*t + 166 = -m. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 3*b - 265 = 2*b, 0 = o - b + 132. Let y = o + 535\/4. Determine w so that 0*w - 1\/4*w**5 - 3\/4*w**4 - 1\/4*w**2 - y*w**3 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*i - 4*j = 45 - 25, 3*i + 11*j = -55 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 10 + 3244?\nAnswer: 3254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -95*u - 156*u - 14576 = 394*u + 20899 for u.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 5, r: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = f**2 - 5*f - 4. Let h(b) = 2*b**2 - 14*b - 11. Let r = 11 - 15. Let u(k) = r*h(k) + 11*l(k). Find the second derivative of u(c) wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -1024, -1026, -1028, -1030?\n\"Answer: -2*n - 1022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((v\/v**4)\/v)\/v)\/(v**2\/v))\/(v*(v**(-2\/7)*v*v)\/v)**(3\/31))\/((v\/(v\/(v\/(v*v\/v**(-4))))*v\/v**1)\/(v*v*v**(2\/5))**(-2\/79)) assuming v is positive.\nAnswer: v**(-105143\/85715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(102) - (sqrt(102) - (sqrt(102) + sqrt(102)*-2)*-2)) + sqrt(102))\/(sqrt(48)\/sqrt(2)) + (sqrt(153) - -1*(1 + sqrt(153)) - 1*sqrt(153)*2))**2.\nAnswer: 3*sqrt(17) + 157\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Is 75708125293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r - 60 = 0, r = -5*x - 13 + 8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -292.9+0.21\nAnswer: -292.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -a - 282401?\nAnswer: -28240b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = y - 6*y - 2*y. Let u(n) = 67*n - 8. Let f(m) = -50*m + 6. Let z(g) = -4*f(g) - 3*u(g). Let k be 6*((-10)\/25 - 18\/(-20)). What is k*z(t) - h(t)?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 2 k when three letters picked without replacement from {t: 1, h: 2, k: 8, n: 2}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -194546, -194555, -194578, -194621, -194690, -194791, -194930?\nAnswer: -195113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -43890, -65092, -86294?\nAnswer: -107496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 267075361?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -62*b**2 - 514 + 514.\nAnswer: -62*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/11 in 24, 0, 1, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 5990069, 5989900, 5989731, 5989562, 5989393, 5989224?\n\"Answer: -169*f + 5990238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*f**2*m - f**2 + f*m**3 - 80*f wrt m?\nAnswer: 2*f**2 + 3*f*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express (-34 + 22*v**3 + 34)*(0 + 1 - 2)*(20 + 76 + 15)*(-2*v - 2*v + 2*v) as x + c*v + b*v**4 + h*v**3 + u*v**2 and give b.\nAnswer: 4884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 892 divide 434282216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1349.\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3970203*i**4 - 11*i**3 - 5168119*i**2 + 6*i wrt i.\nAnswer: -95284872*i - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -10 - -21. Let o = -44.5 + 56. Let d = o - n. What is the smallest value in -1, 3\/5, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 313 minutes before 8:14 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o be 275\/(-250) - 6\/(-10). What is the biggest value in 4\/5, 55, o?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11354902?\nAnswer: 2, 13, 436727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is z in -2*z**3 + 391660*z**2 - 19096122450*z - 7701242580000 = 0?\nAnswer: -400, 98115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2 + 2.2. Let i = 0.4 - l. Is 0.1 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -b**2 + 9*b + 14. Let d be z(10). Let y = -139 - -93. Let m = y + 49. Solve -d*n = 4*a + a - 29, -m*n + 3 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 109 - 106. Is u equal to 15\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) be the first derivative of -3461*a**4\/4 + 4310*a**3\/3 + 124. What is the third derivative of f(v) wrt v?\nAnswer: -20766","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -116*r**2 - 14*r - 49. Let n(o) = 2*o + 7. Let u(w) = 4*j(w) + 28*n(w). Let c(g) = 3*g. Determine c(u(f)).\nAnswer: -1392*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -2*q**3 - 28*q**2 - 32*q - 9. Calculate the smallest common multiple of 4 and n(-13).\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - 120 - 165 = 0. Suppose -2 = -c + 2*c. Let u = 17 + c. Calculate the remainder when x is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/1569459 or 1?\nAnswer: 2\/1569459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -90*x**3 - 4*x**2 - 17*x + 9. Is k(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = o**3 + 14*o**2 - o - 17. Let w be u(-14). Which is the smallest value? (a) 0 (b) 3 (c) w (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7 - 685028.7?\nAnswer: -685021.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = 11329\/64 + -177. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*2*((sqrt(21) - 2*sqrt(1344))*2)\/(2*-2*sqrt(108)))**2.\nAnswer: 1575\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: 1\/26 - 4977\/1638\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 11110110 (base 2) to base 12\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6856.\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide -554 by 2.\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18*1*(-3)\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = j. Let g(m) = 1190*m**2. Calculate g(z(v)).\nAnswer: 1190*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -4*z + 6. Let k(v) = v - 1. Give 3*k(l) + w(l).\nAnswer: -l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = -18.1 + 0.1. Let j = -197708 + 197690.00035. Let d = l - j. What is d rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*v - 5*v - 43*v - 5*v.\nAnswer: -51*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10.1*-242.\nAnswer: 2444.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = -17641\/11865 + 6\/565. Find the common denominator of 151\/(-42) - (-1)\/2 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -22512 - -144113\/8. Suppose 6*u - u = -22430. Let y = u - r. Calculate the common denominator of 11\/18 and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -3 by 3264.\nAnswer: -1\/1088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/92975 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a millisecond in nanoseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) be the first derivative of 13 + 1\/120*z**6 + 0*z + 1\/24*z**4 - 1\/30*z**5 - 7*z**2 + 0*z**3. Let i(c) be the second derivative of q(c). Factor i(p).\nAnswer: p*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that -28*c**5 - 22531*c**4 - 37707*c**3 + 27337*c**2 + 28111*c + 4818 = 0.\nAnswer: -803, -2, -3\/7, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -25978, -26408, -26836, -27262, -27686, -28108?\nAnswer: -28528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 6, 1, -2172.\nAnswer: -2172, -3, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1879729973.\nAnswer: 11, 170884543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let 28\/5*n**2 + 0 + 24\/5*n + 4\/5*n**3 = 0. Calculate n.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 9483*k**3 - 129*k + 5350207?\nAnswer: 28449*k**2 - 129","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/11? (a) 0.3 (b) -3 (c) 0 (d) 0.06 (e) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7031.\nAnswer: 79, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2729351?\nAnswer: 2729351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -41456 + 2?\nAnswer: -41454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = a**3 - 21*a**2 + 53*a - 39. Let c be m(16). Let r = 529 + c. What is the remainder when r is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 37 + -26. Suppose -4*b = -n - 5. What is the least common multiple of (10\/(-4))\/(7\/(-14)) and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -47344 and -17072.\nAnswer: -64416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -a**2 + a + 44. Suppose 0 - 15 = 5*q. Let l(u) = 2*u**2 - 3. Calculate the remainder when i(0) is divided by l(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 14.267 + -1.474. Round q to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -6 or -6586\/13?\nAnswer: -6586\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r = -12 + 26. Suppose 8 = 2*x + 3*q - 24, -4*x + 5*q = -64. What is the least common multiple of 10\/80 + 734\/x and r?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -20 = -r - 19 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 112094, 224196, 336300, 448406, 560514, 672624?\nAnswer: 784736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + -4*(5*sqrt(40)\/(sqrt(15)\/sqrt(3)))\/(-6*(sqrt(4) - sqrt(16)) - sqrt(484)*1).\nAnswer: 2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (v**3 - 4*v**3 + 4*v**3)*(-3 + 3 + 2*v) + 2*v**4 + 2*v**4 - 3*v**4 + 14*v**2 - 2*v**4 - 14*v**2 to d*v**4 + a*v + m*v**3 + q + x*v**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 40 minutes after 5:07 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express 8*h - 6*h - 1868*h**2 + 1482*h**2 as a*h + d + p*h**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 2*s**2 + 26*s + 51. Calculate z(-8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 182, 318, 454, 590, 726, 862?\n\"Answer: 136*w + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 36 and 9564.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 0, -5, -3, -13 in decreasing order.\nAnswer: 4, 0, -3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9 + (3 - (-2 - -1)) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2 not equal to -0.03611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -i**4 + 481564*i**3\/3 + 321044*i**2\/3.\nAnswer: -i**2*(i - 160522)*(3*i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vppp when four letters picked without replacement from {v: 1, a: 4, p: 3, g: 3}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*o + 44 - 220 = 0. Suppose o*k = 17*k - 281. What are the prime factors of k?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1109630 is divided by 437?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 17\/12840 and -91\/12.\nAnswer: 12840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -21 - -101210212?\nAnswer: 101210121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 163644, 654612, 1472904, 2618520?\n\"Answer: 163662*c**2 - 18*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*m = 8*m. Suppose 8 = 2*j - m*j. Suppose -2*g + 4 = -j. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 8 - 6. Let q = v + -2. Suppose 4*d + d - 2*l - 100 = q, -10 = 2*l. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + -30 - ((10 - 31) + 6 + 9)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*(sqrt(28) - sqrt(56)\/sqrt(2)) + 2*sqrt(448))\/((sqrt(4) - sqrt(64))*1 + sqrt(36) + sqrt(324)))**2.\nAnswer: 448\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -8*s**3 + 6*s**2 + 2*s - 31. Let t(x) = -15*x**3 + 14*x**2 + 5*x - 63. Let m(k) = 7*b(k) - 3*t(k). Differentiate m(o) wrt o.\nAnswer: -33*o**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2, 2\/9, -0.2, -55?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-66)\/((-6)\/(-2)))\/(-2). Let u = -1 + m. Calculate the remainder when u is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.018, 0.04, 0.2, 0.3, 5 in descending order.\nAnswer: 5, 0.3, 0.2, 0.04, 0.018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y = 9682 - -15538. Is y a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, -0.1, 1, 43, 2\/13.\nAnswer: -0.1, 2\/13, 0.2, 1, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 224, 1080, 2494, 4460, 6972, 10024, 13610?\nAnswer: 17724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 3*k = 12, k + 12 = 2*h - 3*k. Find the third derivative of x**h + x**4 - 3 + 3 + 0 wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (4 + 13 - 17) + 0\/(-2). Sort 14, 3, r, 5.\nAnswer: r, 3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -182 + 182.29. Let g = z - 1.11. Let b be (-5)\/(75\/(-39)) - 3. Is b at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 294 is divided by 109?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = -73 - -77. Let w be (4*1\/m)\/(2\/6). Is 49 a factor of (1 - (3 + -3 + w)) + 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) be the second derivative of j**6\/225 - j**5\/50 + 4*j**3\/45 - 23*j. Factor g(p).\nAnswer: 2*p*(p - 2)**2*(p + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -69\/2 and ((-55)\/(-44))\/(14\/12).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 - 35 = -3*b. Is 8 a factor of (2 - b)\/((-8)\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-c - 5*c + 4*c)*(-6 + 1 + 4)*((3 + 6 - 5)*(-1 + 1 - 2) + 0 + 1 - 3)*(-47 + 23 + 26) - 2*c - 3*c + 4*c.\nAnswer: -41*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 4, l: 3}. What is prob of sequence lll?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d + 4*a - 7 = -3, a + 11 = 3*d. Solve -5*p + o = 4 - 12, 3*p - d*o = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = u**3 + 10*u**2 + 16*u + 2. Determine j(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 102 is divided by (-196)\/(-12) - 4*3\/9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wwu when three letters picked without replacement from wwwuwuw.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 2. Suppose 8*d = 90 - 66. Let x(p) = -p - 2. What is d*x(j) + 4*b(j)?\nAnswer: -3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 4.7896 + -1378?\nAnswer: -1373.2104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = -6 + 11. Let v = o - 3. Is 3 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:18 PM and 8:56 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in sixteen sevenths of a week?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = g**3 - 11*g**2 - 7*g + 62. List the prime factors of k(14).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 14*l + 150. Let x be f(-11). Let h = -7 + 11. Let d be (-15)\/2*h\/3. Sort x, d, -5 in decreasing order.\nAnswer: x, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.125 in -157\/2, 0.3, -3, -0.3, -31\/3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 14663, 14670, 14679, 14690, 14703, 14718, 14735?\nAnswer: 14754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 68796345?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 12589400 rounded to the nearest ten thousand?\nAnswer: 12590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 6427470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express o**3 - 8*o**3 - 16*o**2 + 5*o**3 + 2*o**2 - 2*o**2 + o**3 + (o**3 - o**3 + 2*o**3)*(-2 - 1 + 1) in the form j + r*o**3 + i*o + p*o**2 and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*j - 25 = 5*b, -23 + 3 = 4*b + 5*j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*y**4 + 3*y**5 + 4*y**4 + (2 - 2 - 2*y)*(2*y**4 - y**4 + 0*y**4) + 3*y**5 - 3*y**5 - 4*y**5 - 2*y**5 + 4*y**4 - 4*y**4.\nAnswer: -5*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -d - 16 = -5*y - 9, -y + 3*d + 7 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = r + 5. Let o(x) = -172 + 327 + 2*x - 155. Calculate f(o(g)).\nAnswer: 2*g + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 3*m**2 + 2*m - 1. What is the remainder when q(3) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*h - 29336 + 7864 = 0. Suppose 5*a = -2*d + 2053 + 184, h = 3*a + d. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - u)*(-3*u + 2*u + 3*u)*(-2*u - u - 5*u).\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b**(-14)*b*b*b**(-29\/4)*b)\/(b**(-2\/19))**(-3\/5))**(-22) assuming b is positive.\nAnswer: b**(72369\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) be the third derivative of x**4\/24 + 5*x**2. Let u(i) = -i. What is g(u(k))?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -6*g + 159. Calculate n(3).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Add -3 and -38707.3.\nAnswer: -38710.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = -98474750833\/117691 + 19244685\/23. Let w = -2\/731 - k. Find the common denominator of w and -13\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:53 PM and 11:34 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 b and 1 w when three letters picked without replacement from aawbbbaa?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 616164640 divided by -22005880?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 7*w. Let c(q) = -8*q**2 + 4*q - 17. Calculate c(p(u)).\nAnswer: -392*u**2 + 28*u - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*y**2 + 2*y**2 - y**2)*(5 + 0 - 2 + (-1 + 5 - 2)*(0 - 3 + 1))*((-y - y + 3*y)*(1 + 1 - 1) + 2 - 2 - 2*y - 8*y + 4*y - 9*y).\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t be -6*(2 + 26\/(-3)). Suppose -t = -3*f - f. Solve -4*i - 6 = -j, -4*j - 5*i - 8 - f = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1495 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 250 minutes after 2:59 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 6224765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange y + 4 - 4 + (-3 + 0 + 2)*(4 - 4 - y) - 3*y + 6*y - 2*y + 3 + 24*y - 3 + (3*y - y - y)*(1 - 2 + 3) to the form s*y + j and give s.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = 8 + -8. Suppose -3*w + 459 = -o*w. What is the highest common factor of 17 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.273 times -0.34652?\nAnswer: 0.09459996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) be the third derivative of 7*s**5\/80 + 691*s**4\/32 - 99*s**3\/4 - 6*s**2. Factor u(g).\nAnswer: 3*(g + 99)*(7*g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yggx when four letters picked without replacement from yggygxxyxgg?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v = 2*z - 4854, 3*z + 19*v = 15*v + 7276. Calculate the greatest common factor of z and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -1 + 1 - 5*i + 23*i as b + u*i and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -1101 (base 5) to base 11\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = a**3 - 8*a**2 + 13*a - 10. What is v(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 4*m + 7. Determine p(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0821539 rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (-600)\/36 - -16 - 2\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1476 divided by -4.\nAnswer: -369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - 34 = -10. Let u be (3\/(-4))\/(k\/(-24)). Let m(h) = -7*h + 1. Let g(n) = -8*n + 1. Let f(o) = u*g(o) + 4*m(o). Calculate f(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 59*s + 63*s = 5322, 4*o + 5*s - 21222 = 0. Solve 5305*w - o*w = -49 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 3039 = -5*r + 2*k, 4*r = -3*k + 2440. Suppose -10*n + 43 = -r. What are the prime factors of n?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) 5 (b) -108 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 908, 2505, 5162, 8879, 13656, 19493?\n\"Answer: 530*i**2 + 7*i + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 266 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t - 12 = -68. Let c(v) = v**3 - 13*v**2 - 12*v - 15. Let j be c(t). Suppose 23*d = j*d + 440000. Round d to the nearest 1000.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 166 = -2*r, q - 2*q + 411 = 5*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 1, e: 4, r: 4, x: 1}. Give prob of sequence frf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 50805 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.7 - 4.7. Let d = 8 + a. Let g be 2 + (-13)\/7*1. What is the second smallest value in -0.5, g, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -b**3 - b**2 + b - 5. Let u(l) = -l**3 - 6*l**2 - 2*l - 6. Let v be u(-6). Let t be (0 - 0)\/2 - -2. Suppose -t*i + v*i = 0. Calculate g(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify x*x**(-4\/3)*x*x**1*(x*x**0)**(9\/2) assuming x is positive.\nAnswer: x**(37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14065928?\nAnswer: 2, 19, 29, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -o**3 - 10*o**2 - 13*o - 4. Let x be d(-9). What is the second derivative of 0*i**2 - x*i - 995*i**4 + 0*i**2 + 992*i**4 wrt i?\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -1172017 by -10.\nAnswer: 1172017\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 1 w when two letters picked without replacement from ttjwjsititsws.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 235 minutes before 5:57 PM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -363 in -2\/11, 26, -2\/15?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-1\/4))**(2\/41)\/(v*(v\/v**(-6\/5))\/v*v*v*v**(2\/7)) assuming v is positive.\nAnswer: v**(-12909\/2870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -22*v**2. Let u(t) = -2*t + 3. What is i(u(s))?\nAnswer: -88*s**2 + 264*s - 198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 36 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i be 7 + -3 - (-8)\/(-1). Let s be 0\/(-2) - (-7 - i). Suppose f = -s + 7. Solve -f = m - 0*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5.761874 days in hours?\nAnswer: 138.284976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yjyjuutjuyybut. What is prob of picking 1 b, 1 y, 1 u, and 1 t?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 9254*w**4*y**2 - 412*w**4*y + 699968*w**2*y**2 + 4*w**2 wrt w.\nAnswer: 222096*w*y**2 - 9888*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9361536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i = -6 - 6. Suppose j + i*f = 2*j - 40, 0 = -5*j + f + 295. Let v = j + -37. What are the prime factors of v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3\/28 + 5\/28. Let u = 0.3 - -5.7. Let b = 5.9 - u. What is the third biggest value in x, -11, b?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8170 is divided by 326.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, -0.13, 12\/53.\nAnswer: -0.13, 12\/53, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 18*w**2 + 4*w + 90*w**2 - 39*w**2 + 44*w**2 to d*w**2 + o + x*w and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = g**2 + g - 2. Let u be (-1)\/(-1 - 6\/(-9)). What is the units digit of o(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -54 divided by -9081307\nAnswer: 54\/9081307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3859?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*z + 85798*z**2 - 6*z + 6*z**4 - z**3 - 85831*z**2 - 4 to the form p*z**2 + d + m*z**4 + o*z**3 + v*z and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1 + 3. Let n be (14\/4 - 3)*d. Suppose -n*m + 2 = -6. Solve 4*y + 2*o - 9 = -33, 12 = -m*y + 4*o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 178.5585 to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0\/(1\/(1 - 0)). Sort 2, 4, -4, r in descending order.\nAnswer: 4, 2, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*o**3 - 3*o**3 + 19*o - 19*o.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from aaqaaaaqaaaaaaqqaaa. What is prob of picking 4 a?\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*s + 3*i - 5 = 2*i, 0 = 3*i - 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**9\/(q*q\/(q\/((q\/((q**(-7\/2)*q)\/q*q))\/q))))**(-7)*(q**(-7\/3)*q)\/q**(-6)*q**6\/q**(3\/2) assuming q is positive.\nAnswer: q**(-88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30*o**3 - 346183*o + 346183*o - 15*o**3.\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 85, 41, -2 in ascending order.\nAnswer: -2, 41, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 17\/(1*14\/(-203) + 228\/(-58))?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1\/((-3)\/(-96)*4). Solve -2*j + 8 = -3*x - z, 2*j - 8 = x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 341 + -10220?\nAnswer: -6546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 7494a353 - -3?\nAnswer: 7494a356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 78?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 310654306?\nAnswer: 2, 53, 1453, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = -33\/58 + 2\/29. Suppose 5*k - 17 - 68 = 0. Suppose 3*q + k = 8. Put q, -3\/5, b in descending order.\nAnswer: b, -3\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from heeeyheeeeheeeee. What is prob of sequence eehy?\nAnswer: 33\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1321?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p be 4*1\/((-2)\/2). Let g(r) = 3107 - 1544 + 4*r - 1546. What is g(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-3 - 0)*-1 - -5. Solve 3*g + 4*b = u, 2*b = 7*b + 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 187830*m - 3155 wrt m?\nAnswer: 187830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o*o\/((o**(3\/5)\/o)\/o))*o**11)\/(o*(o*o*o\/o**21*o)\/o*o*o**3*o) assuming o is positive.\nAnswer: o**(103\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3 + -1495?\nAnswer: -1492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) be the third derivative of -1\/36*x**5 + 0 + 1\/72*x**4 - 1\/360*x**6 - x**2 + 1\/210*x**7 + 1\/9*x**3 + 0*x. Factor p(u).\nAnswer: (u - 1)**2*(u + 1)*(3*u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 944 * 0.31\nAnswer: 292.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-5)\/(-4))\/(145\/232). Is 1\/w*(4 - -9994) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2644*y - 11686 = 120514 for y.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 97514 to the power of 1\/2, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -v**2 + v + 1. Let d(g) = g**3 + 9*g**2 + 9*g + 6. Let a be d(-8). Let p(r) = 2*r - 2. Let h(k) = a*z(k) - p(k). Find l such that h(l) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -y**3 + 6*y**2 - 5*y - 1. Let m be g(4). Suppose m = 4*x - 5. Solve -3*r + 24 = 3*i, -x*i + 16 = r - i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1.3 + 1.6. Which is the closest to r? (a) -4 (b) -0.4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2940626325.\nAnswer: 3, 5, 7, 13, 430861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2189 - 8685. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 12*j - 25*j - 169. Sort 5, j, 4, 0 in decreasing order.\nAnswer: 5, 4, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 5 - 15. Let j(p) = p**3 - 5*p**2 - 14*p + 13. Let l be j(7). Let d = a + l. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w*w\/(w*w*w**45)*w*w*w*w)**1 assuming w is positive.\nAnswer: w**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express -417*r + 51*r + 13 - 8 - 5 in the form u*r + t and give u.\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 452 and 332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = -17.7271 + 0.9091. Let h = r - 1.242. Let k = -18 - h. Round k to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rf when two letters picked without replacement from {s: 5, f: 2, r: 5}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*w + 2176 = -w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 572609?\nAnswer: 572609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -97*l**4 - 7*l**4 - 14107*l**2 + 3 - 3*l**3 + 13496*l**2 - 2*l**3 wrt l?\nAnswer: -2496*l - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-9 - -15)\/(1 + 1). Suppose i + 5*a = -4 + l, i = -2*a - 7. Let w(h) = -2*h - 16. Let j be w(i). Put -4, 1, j in decreasing order.\nAnswer: j, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:31 PM and 12:29 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 364675307.\nAnswer: 364675307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*i - 3*t - 33, -3*i = -4*t - 8 - 3. Solve -j - i*j = 50 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find b, given that -4*b**4\/7 - 41246810*b**3\/7 - 106331260007006*b**2\/7 - 37975422013600*b - 22785247905000 = 0.\nAnswer: -5155850, -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 62 + -64 + 21 + -2 - 49?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2536 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 12 (base 13) in base 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -35, -29, -19, -5?\n\"Answer: 2*i**2 - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*r**3 + 8*r**3 - 15*r**3.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -g**2 + g - 1. Let h(o) = -3*o**2 + 5*o - 4. Let y(i) = h(i) - 5*s(i). What is the derivative of y(n) wrt n?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 1996*b**2 - 266. Let a(y) = 1996*y**2 - 281. Let g(r) = -4*a(r) + 5*j(r). Differentiate g(f) with respect to f.\nAnswer: 3992*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + (-1 - 1) + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 428910516 to the power of 1\/3, to the nearest integer?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -255.27 rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k be (3 + -2)*(0 - 0). Suppose k = -0*h + 2*h - 4. Suppose 3*i + h*i - 2050 = 0. What is i rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (0\/40)\/((-1)\/((-2)\/(-4)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Subtract 5.3 from 2454.\nAnswer: 2448.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p be (1 - -2)\/(3\/2). Let m(a) = a + 1. Let v be m(p). Suppose f - 2*r - 118008 = v*f, 4*r + 295016 = -5*f. Round f to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -7480 <= -7480?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:15 PM and 11:10 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3434 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: Expand (-2 + 3 + 1 + (2 - 3 + 0)*(-4 + 4 + 2) + 2 + 0 - 1 + 7 - 2 - 1)*(-4 + 4 + 5)*(-r - 1 + 1)*(-15 + 9 + 14).\nAnswer: -200*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-24)\/(-72) + ((-436810)\/(-15) - -4)?\nAnswer: 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -213293844 divided by -38061?\nAnswer: 5604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 2*q**3 - 37*q**2 + 70*q + 174. Determine n(18).\nAnswer: 1110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v be 24780\/(-42)*2212*25. Round v to the nearest one hundred thousand.\nAnswer: -32600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 8430997 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = 142901 - 142759.858. Let c = i - 0.142. Let a = c + -141.057. What is a rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -71.012 + 71. Let q = -2.988 + y. Let m(u) = -2*u**2 - 9*u + 16. Let h be m(-6). Which is the closest to h? (a) 3 (b) q (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 2941 and -1240.\nAnswer: -3646840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -290220934*q**6 + 2*q**4*t + 174*q**2*t - 351342*q*t wrt q.\nAnswer: -34826512080*q**3 + 48*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 144.939 + -145. Round x to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 458307 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -378650 - 36830 - 202568 = -37*n. List the prime factors of n.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 15 + -1420?\nAnswer: -1401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 48 is divided by (-7 - -4)*15*(-6)\/27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) be the first derivative of v**3\/3 - 2*v**2 - 26*v - 2. Let m = 672 - 664. Calculate the least common multiple of 10 and w(m).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 45 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 5? (a) -6 (b) -8 (c) -2 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 0.03817, 5, -1\/3, -3, -5 in descending order.\nAnswer: 5, 0.03817, -1\/3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -k**2 - 18*k - 84. Let x be u(-8). Let p(c) = c**2 - 32*c + 159. Let f be p(26). Put f, -5, x, 0 in decreasing order.\nAnswer: f, 0, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve o = 5*r - 3 + 47, 12*o - 6*r = 31*o + 73 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 162039?\nAnswer: 3, 54013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (-4 + 3)\/(70\/(-40) + 327\/180)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -210, -260, -336, -432, -542?\n\"Answer: x**3 - 19*x**2 - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Are 883 and 882 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -109, -463, -977, -1663, -2533, -3599, -4873, -6367?\n\"Answer: -2*i**3 - 68*i**2 - 136*i + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o be 96\/10 - (-4)\/10. Let z(k) = 9*k - k**2 - o - 2*k + 2*k. Let d be z(7). Solve -3*q - 1 = -d*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 650 and 3120.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 10 + 19 - 16 + z. Let u be c(-7). Suppose 2*g = 2*m + u, 5*m + 7 = -8. Solve -2*a + 3*h - 5 = g, -5*a + 3*h + 0 = -1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is b1d5 + -765?\nAnswer: aa70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -80237, -80206, -80175, -80144, -80113?\nAnswer: -80082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -k**3 + 8*k**2 + 10*k - 17. Suppose 0*q + 2*q = l + 12, 4*l - 16 = 0. List the prime factors of r(q).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2.15365*9.\nAnswer: 19.38285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-7 + -2 - -2) + 3. Let q be 2\/(-3) + (-3)\/9. Let g(j) = 5*j**2 + 2*j + 1. Let u be g(q). Sort r, u, -5 in decreasing order.\nAnswer: u, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-seven fifths of a meter in centimeters?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7345436 is divided by 716.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 8, 12, 12, 2, -24, -72?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 535 minutes after 12:31 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1695*k + 1552*k - 4927*k + 1688*k - 7074*k**3)*(-2*k + 2*k + 2*k) to the form t + d*k**2 + p*k**4 + u*k**3 + r*k and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - ((-2 - -7) + (0 - 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 44 + 26 = 0. Suppose 0 = -4*q - 7 - 21. Let u = q - y. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2552 - 3124321?\nAnswer: -3121325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ippippipbpiipppiipii. Give prob of picking 1 i and 2 p.\nAnswer: 27\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1864 and 2563.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by 7647.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 2*(-20)\/16*4\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(6)\/((sqrt(288)*-1 - sqrt(288) - sqrt(2)) + sqrt(2))*-2)**2 - (1*sqrt(27) + -1)*4.\nAnswer: -12*sqrt(3) + 193\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + (2 + 1 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be 11\/(154\/4) - 65\/7. Which is bigger: 2 or o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 278 or 34\/19?\nAnswer: 278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*z = 4*d + 3*z + 143, 25 = 5*z. Suppose r = -r - 5*h + 2, 0 = 3*r - 3*h + 18. Calculate the common denominator of (2\/r)\/(7\/(-12)) and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) be the first derivative of 0*z**4 + 0*z - 3\/5*z**5 - 3 + 0*z**3 - 3\/2*z**2. Find the second derivative of p(x) wrt x.\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2588, -3093, -4464, -7133, -11532, -18093, -27248, -39429?\nAnswer: -55068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 46603541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2\/233, -315, -66.5?\nAnswer: -66.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 21*y = 50*y + 79*y - 324 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 677 minutes after 10:33 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-45)\/217 + 7\/49. Let n be (-313)\/(-434) + (-2)\/7. Let o = n - j. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*(sqrt(637) + 1) - sqrt(637)) + sqrt(637)*2*4 + (-3*1*sqrt(637) - sqrt(637) - sqrt(637) - (sqrt(637) - (sqrt(637) - (2*sqrt(637) + 2)))))**2 + -2.\nAnswer: 336*sqrt(13) + 22946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 53567, 53458, 53349, 53240, 53131, 53022?\n\"Answer: -109*n + 53676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = p**3 + 125*p**2 + 252*p + 745. Determine g(-123).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1338 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 123913 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 1 a when two letters picked without replacement from {g: 1, a: 1, l: 1, o: 1, z: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1\/1488 - 1653\/496. Which is the nearest to 2\/5? (a) 2 (b) -0.1 (c) 2\/29 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10433?\nAnswer: 10433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 0.3 * -104.9\nAnswer: -31.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 437.045 weeks to days.\nAnswer: 3059.315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from elelllwlweee. What is prob of sequence wlee?\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -27*b + 40*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-42)\/54)\/(-7)*-4.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -7 times 0.025?\nAnswer: -0.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ppppyppspypppsp. What is prob of sequence py?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in 1, 4, -5\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.1 from -16304604415.659.\nAnswer: -16304604415.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/2*(-798)\/((-1938)\/34)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.88 in 5, 18\/47, 27\/7, 3\/13, 4?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 112 + 797. Suppose 2*x - h + 901 = 0. Solve 4*b = 10*b + x*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 115896, 115269, 114642?\n\"Answer: -627*o + 116523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor n**5 + 9*n**4 + 27*n**3 + 31*n**2 + 12*n.\nAnswer: n*(n + 1)**2*(n + 3)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r, 1 o, and 1 f when three letters picked without replacement from kfpofhrkr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 11749 + 154?\nAnswer: 118a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = 28 - 15. What is the highest common factor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -d + 2. Let k(g) = -4 + 5 - g + 0*g - g**2. Let n be (-12)\/(-7) - (-12)\/42. Suppose -5*j + 3*j = -n. Calculate j*q(p) - 2*k(p).\nAnswer: 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 3\/10*(2703\/102 - 29) - (-1305)\/(-20)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 1 p when two letters picked without replacement from {f: 1, n: 2, m: 2, p: 4}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 40*c - 57 - 23 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 2\/3, 22539\/10 in decreasing order.\nAnswer: 22539\/10, 3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 70 = p, -3*u + 3*p + 0 = -78. What is the least common multiple of 12 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = b**3 - 5*b**2 + 2*b - 7. Let r be j(5). Solve -r*y + 32 = -4*h - 0, 0 = -4*y - 4*h - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 72487 divided by -2905\nAnswer: -72487\/2905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 94467013 is divided by 11808375?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = q**2 - 12*q + 22. Let m be g(2). Solve -2 = -m*v - 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -4*v + 1. Solve c - 3*o - 4 = 0, -c - 2 = 4*c - v*o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 64, 68, 74, 82?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-25218)\/(-45) + 8 - -20. Which is smaller: z or 587?\nAnswer: 587","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 165041 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -3*l**2 - 5*l. Let p(y) = -4448*y + 4451*y + 13*y**2 - 11*y**2. Determine -3*i(v) - 5*p(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 1, y: 1, x: 3, p: 2, k: 4}. What is prob of picking 1 w, 1 p, and 1 x?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = -72610 - -41410. Round a to the nearest one thousand.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -28205006*s**2 - 3*s - 822076925 with respect to s.\nAnswer: -56410012*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 2*w - 3. Let s be b(3). Suppose 4*j - 39 - 9 = 0. Calculate the greatest common divisor of s and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4320*a**4 - 30*a**2 - 10*a wrt a.\nAnswer: -103680*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/11 in -5, 0.136, 4, 0.4?\nAnswer: 0.136","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -1876 less than -1876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 65 a factor of 234670930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) be the first derivative of -4*r**2 - 43. Let z(v) = -5*v. Let s(x) = 6*x. Let j(d) = -3*s(d) - 4*z(d). Determine j(m(l)).\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1391500 is divided by 110.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -56*t**2 - 54*t**2 + 154*t**2 - 51*t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -3\/416848?\nAnswer: -3\/416848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -444*a**3 + 3*a**2 - 60*a - 62. Let f be n(-1). Calculate the greatest common divisor of f and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8948*i = 9428*i + 17280 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 1, c: 1, q: 3, k: 4, m: 7, i: 2}. What is prob of picking 1 i and 1 k?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6352206*c**2 + 5228144*c.\nAnswer: 12704412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = b**3 + 8*b**2 - 232*b + 33. Let j be n(16). Is -0.3 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -6*f + 2. Let l(s) be the second derivative of -s**3\/6 + 4*s. Let u = -11 + 6. What is u*l(n) + i(n)?\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -131\/510 and -52\/11415?\nAnswer: 388110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 176*p - 171*p - 1 = k, 2*p + 5*k + 113 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(2\/5))**(-30)\/(s*s\/s**4*s*s\/s**(3\/7)) assuming s is positive.\nAnswer: s**(-81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 166 minutes after 8:09 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -3 and 19597745.1?\nAnswer: 19597748.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is ((-5)\/(-6) + (-2)\/6)\/((-332)\/(-19256))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*c + 0*c + 2*c)*(-3*c + 3*c - 2*c)*(c**2 - 14*c**2 + 4*c**2).\nAnswer: -18*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes before 3:27 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -4091*k + 259. Let g = -627 + 619. Is t(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = a**3 - 3*a**2 - 2*a + 1. What is g(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 2*d**2 + d - 3. Let r(k) = k**3 - k**2 - k + 2. Calculate -2*o(b) - 3*r(b).\nAnswer: -3*b**3 - b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Add together 2 and -36671235001.\nAnswer: -36671234999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a - 32 = 5*w, -2*w = -3*w - 2*a - 10. Let y(z) = -4 - z**2 - 21*z + 8 - 10 + 15*z. Calculate y(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*t**2\/13 + 18*t - 476\/13.\nAnswer: 2*(t - 2)*(t + 119)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -p. Let b(o) = 2*o**2 + 235698*o - 1. Determine x(b(j)).\nAnswer: -2*j**2 - 235698*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10)\/(-4)*31\/155.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.3, 1\/5, 1, 589, -0.4, -31, 2.\nAnswer: -31, -0.4, 1\/5, 0.3, 1, 2, 589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 6*t. Let w(f) = 80*f. Calculate w(x(a)).\nAnswer: 480*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide -1*(-1 + 4) + 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 122c - -5f?\nAnswer: 128b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-1\/2)*x*x**4\/x)\/(x*x*x\/(x**0\/x*x)*x\/((x\/(x\/x**(-3)*x))\/x)*x))\/((x**(1\/4))**(3\/14)\/(x**(-1\/4))**(-15\/11)) assuming x is positive.\nAnswer: x**(-3827\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 1, h: 1, j: 2, d: 1, r: 1, g: 1}. What is prob of picking 1 n and 1 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = 26.215 - 0.115. Which is bigger: m or -2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -16, 3, 30, 65, 108, 159, 218?\n\"Answer: 4*y**2 + 7*y - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -q**3 + 17*q**2 - 15*q - 4. Suppose 3*u = 8*u + 5*y - 70, 0 = -4*u + 4*y + 72. Give p(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -138 - -125. Let o(l) = -5*l + 3. Let v(p) = 1 + 7 - 11*p - 2 + 0. Give r*o(z) + 6*v(z).\nAnswer: -z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = -76449 - -76451. Let o = -30.3 + 5.3. Which is the nearest to m? (a) o (b) -1\/3 (c) -5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 300 = 4*x - 2*x. What is the highest common factor of x and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 18 + n**3 - 2*n**4 - 3*n**2 - 16 + 2*n**2 in the form t*n**4 + x + s*n**2 + y*n + p*n**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11129 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + ((-1650)\/(-150))\/(-2*2\/8)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -r - r. Suppose -4*w + 56 = -2*z, -w = 3*z - 4 - 17. Let f be w\/7 + -2 + (-54)\/189. Which is bigger: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 48 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m be 22*(-6 + 3)\/(-3). Let f = m + -10. Suppose x = 3*u + 16, -u + f = -2*x - 6*u. Is 5 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*l = 6*l + 238. Let v = 70.78 - 70.78. Sort v, 2, -1\/3, l in ascending order.\nAnswer: -1\/3, v, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 212 - 98. Suppose -j = -5*a - 14. List the prime factors of 150\/a + 1\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = h**2 + 3*h - 1. Let o be w(2). Let l = -100 + -78. Let f = -97 - l. What is the highest common divisor of o and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2291*k**3 - 170*k**3 + 8434*k**3.\nAnswer: 10555*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*a - y = -8*a - 10899, 4 = -4*y. What is the thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 678 minutes after 9:43 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and -1599.97 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 766, 1, -7265.\nAnswer: -7265, 1, 3, 766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) be the third derivative of 10\/7*d**3 + 1\/14*d**4 - 11\/140*d**6 - d**2 - 1\/4*d**5 - 85 + 0*d - 3\/490*d**7. Find u, given that m(u) = 0.\nAnswer: -5, -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -143\/469464 and -131\/7572?\nAnswer: 469464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) be the first derivative of 4*f**3\/3 - 4. Let w(h) be the third derivative of 0*h + 1\/12*h**4 - 2*h**2 + 0*h**3 + 0. Determine w(a(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.3 and 0.17.\nAnswer: -0.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-15)\/75)\/((-1)\/25) + 1995\/21. Calculate the highest common divisor of g and 30800.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 5*j = -72, -k - 2*k + 89 = 5*j. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -9, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 333 + -331. Let a(j) = 6579*j**2 + 5*j**3 - 6579*j**x. What is a(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -115*t**3 - 13*t**2 + 12*t**2 + 36 - 2*t - 35 to y*t**2 + j*t + k*t**3 + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c = -2*c - 6. Solve -2*v = -s + 5, 4*s + 0 = c*v + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2431735 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = c**2 + 4*c - 7. Let i be 2\/6 + 68\/12. Let v be (6 - 5)*-1*5. Let n(s) = s**2 + 3*s - 6. Give i*n(q) + v*d(q).\nAnswer: q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 5*n - 31. Calculate s(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -76 + 31 = -9*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -9*o**3 - 5*o**2 - 5. Let r(h) be the first derivative of 1 + 0*h**2 - 8\/3*h**3 - 8*h - 7\/2*h**4. Calculate -5*r(k) + 8*v(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) be the third derivative of -d**8\/60480 - d**7\/2520 - d**6\/240 - 7*d**5\/60 - 4*d**2. Let f(r) be the third derivative of c(r). Solve f(g) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 25, 67, 143, 265, 445?\n\"Answer: 2*i**3 + 5*i**2 + 13*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -83000 = -434*i + 431*i + 2*p, -i = p - 27660. What are the prime factors of i?\nAnswer: 2, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 20 and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -n + 2 + 2*n + 0*n + n. Let q be z(-3). Let y be 69\/(-266) + q\/(-14). Which is greater: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1600 - -3171. List the prime factors of v.\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 89 is divided by 58?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = k**3 - 15*k**2 + 20*k + 19. List the prime factors of r(14).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -6, 25, -1 in ascending order.\nAnswer: -6, -1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = a**2 + a + 2. Let g be m(-2). Suppose -3*l + t = 18, -g*l + 5*t = -0*l + 24. Calculate the common denominator of 73\/4 and 1\/l*(-316)\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (-98)\/(-833)*238*-1\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-3 + sqrt(52)) + (sqrt(117)*-1 + sqrt(117) - ((sqrt(91) - sqrt(91)*1)\/sqrt(7) - sqrt(13))).\nAnswer: -9 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -a9 (base 16) in base 4?\nAnswer: -2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 141, 282, 423, 564?\n\"Answer: 141*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/3, -4, 1, -2\/9, 50\/7, 0.13 in increasing order.\nAnswer: -4, -2\/9, 0.13, 1\/3, 1, 50\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -58*l - 18 = 4*k - 56*l, 3*k + 11 = -l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 + 2*v + (0 - 1 + 0)*(0*v - 3*v + 2*v))*(-9*v**2 - 3*v**3 + 9*v**2 + (v**2 - 6*v**2 - v**2)*(2*v + 2 - 2)).\nAnswer: -45*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 52 divided by -301?\nAnswer: -52\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 109 (b) 2\/13 (c) -0.5 (d) -2 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 68813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 46.62054mg to micrograms.\nAnswer: 46620.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -79 by 8.\nAnswer: -79\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -5385.5046 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 91 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(225)*-1*3 + sqrt(225))\/(sqrt(60)\/(sqrt(108) + sqrt(12) - sqrt(12)) + sqrt(5)))**2.\nAnswer: 405\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = s**3 + 17*s**2 + 11*s - 5. Determine x(-16).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 0*y - 2*x - 52 = 0, -23 = -2*y + 3*x. Let q = y - 13. What is the remainder when 31 + -1 + 4 + q is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 8462240?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Product of 3 and 20161.\nAnswer: 60483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 + 15 = 2*k - 5*r, 0 = 5*r. Let s(n) = -220 + 113 + n**3 + 0*n**3 + 114. Is s(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 3 - 4 - (-11 + 1 + 0). Suppose 0*b + 4*b - 3*t = -s, -5*t = 5*b - 15. Suppose b = -5*a + 1 - 11, -a + 304 = 3*c. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11*(144\/99)\/(-8)*(-12)\/(-30)*30.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = -87 + 614. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 63 is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 437*q = 440*q - 87. Suppose b + 10 = -3*p, q*p = -4*b + 25*p - 24. Let o(v) = 3*v**2 + 7*v + 5. What is o(b)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 124 and 2319947?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -2273 divided by -1?\nAnswer: 2273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -4, 3\/4, -63\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 720808044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = 76 - 45. Let f = -27 + x. What is the second derivative of 11*k**4 - 7*k + 0*k**4 + 0*k**f wrt k?\nAnswer: 132*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = -2*z - 2*w, 49 = -5*z + w + 161 - 97 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10001 + 1110011010?\nAnswer: 1110101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 8*n - 8*n - 43 + 5*n. Let k be f(23). Is 14 a factor of (28\/(-3))\/(4\/k*-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve f + 11 = 4*f - g, g = 4*f - 14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (0*p + 3*p - 2*p)*(-131 + 131 - 104*p) + (p + 0 + 0)*(-2 + 2 + 2*p) + p**2 - p**2 - p**2 - 2*p + 2*p**2 + 2*p in the form r*p + b + j*p**2 and give j.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1503*v**2 - 542*v + 3.\nAnswer: -3006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*y = -y + x - 7, -3*y + 3 = x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 2232 (base 5) to base 11.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 8715 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = -65.5 + 65. What is the third smallest value in -2, -3\/200, f?\nAnswer: -3\/200","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 654468.4km to millimeters.\nAnswer: 654468400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**0\/u*u)**5)**(2\/57)*((u*((u*u\/u**(5\/3)*u)\/u)\/u)\/u**(-1\/10))**24 assuming u is positive.\nAnswer: u**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 64373074 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: Solve 44*o - 33*o = 2010 - 2263 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*x - 40*x - 30*x.\nAnswer: -55*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000013161 rounded to 7 decimal places?\nAnswer: -0.0000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3*v**3 - 119*v**2 + 313*v - 113213?\nAnswer: -9*v**2 - 238*v + 313","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - 52.2?\nAnswer: -55.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = -334\/5 + 3859\/55. Let h = -174 + 273. Calculate the common denominator of y and 39\/h + 2\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*p + 2*p - 10. Is p smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -13\/1904 and -9\/1904.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = -393 - -608. Is 31 a factor of p - (-5 - -5 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-850)\/15)\/5*1215\/810?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -27 + 27.11. Let f = 0.2 - q. Let i = f - -0.41. Which is the nearest to 4\/3? (a) -4 (b) 0.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6619*u - 9326*u - 23604*u.\nAnswer: -26311*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 24432177 and 231.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-2\/3))**(-1\/39)\/(j*j*j*j**(-2)\/j*j*j*j\/(j**0*j)) assuming j is positive.\nAnswer: j**(-232\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -1413.9+1.3\nAnswer: -1412.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = z - 1. Let o(f) = f + 4. Suppose 2*n - 8 = -6. Let r(l) = n*o(l) + 4*a(l). Let c(m) = 11*m. Determine c(r(w)).\nAnswer: 55*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -z**2 - 50*z - 523. Let x be o(-27). Solve -100*p + 12 = -x*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3 or 47?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 6*b + 19. Suppose 23*v - 16*v = -4*j - 24, -2*v + 5*j - 13 = 0. Calculate h(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 867 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 3\/10, 10\/31, -6, -0.3, -3, 1, 1\/2?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 91 - 93. Let m be 7\/28*-1*(p - 0). Which is the closest to m? (a) 1\/6 (b) -6\/11 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 94 (base 15) to base 12.\nAnswer: b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 5*k**2. Suppose -5*m = -0*m - 50. Let x(l) = -l**2 + 12*l - 8. Let z be x(m). Let d(q) = -16*q + z*q - 9*q. Give y(d(o)).\nAnswer: 845*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eeeejjtwjeqwqwjjte. Give prob of sequence eqq.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 134 divide 37038685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10260 is divided by 1475?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose f + 2 = -j, f - 1 = 2*j - 0*j. Let d(z) = -4*z**2 - 5*z - 4. Let o be d(f). Which is the closest to -0.2? (a) o (b) -5 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -102 + 105. Suppose 4*z - 560 = -4*v + r*z, 3*z = -5*v + 707. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 111010111010101010100011 (base 2) to base 16\nAnswer: ebaaa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.08803 and 104?\nAnswer: 9.15512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 429119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -g**2 - 16*g - 31. Determine c(-26).\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = 4*j - 1473, 354 = j - 17*p + 21*p. Solve -167*r - j = -45*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -21e4a (base 15) in base 16?\nAnswer: -1a545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 13 - -5663471?\nAnswer: 5663504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -25*v**3 - 11*v**2 + 28*v + 8. Let t = 6 - -4. Let p(q) = -74*q**3 - 34*q**2 + 84*q + 24. Let a(n) = t*z(n) - 3*p(n). Factor a(w).\nAnswer: -4*(w - 1)*(w + 1)*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 351, 632, 913, 1194, 1475, 1756?\n\"Answer: 281*g + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 20 = t. Calculate the greatest common factor of t and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.11 - -4.89. Suppose -6*g = -3*g. Which is the nearest to g? (a) 2 (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 398 minutes after 6:10 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 112283, 224564, 336845, 449126, 561407?\n\"Answer: 112281*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-4)\/((-56)\/(-42)*(-3)\/194) is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.05669349477 to 6 decimal places.\nAnswer: -0.056693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/134012 and -73\/16.\nAnswer: 536048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -2588, -10385, -23388, -41597, -65012?\n\"Answer: -2603*c**2 + 12*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -81*g**2 + 33*g - 33. Let m(z) = 5*z**2 - 2*z + 2. Let f = 5 + -38. What is f*m(v) - 2*x(v)?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let -2*t**4\/5 - 9418*t**3\/5 - 1691176*t**2\/5 - 78264032*t\/5 - 76582272\/5 = 0. Calculate t.\nAnswer: -4524, -92, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 2*f. Suppose -h + 4 = 1. Let u(z) = -7*z**2 + 0*z**2 + 3*z**2 + h*z**2. What is u(v(y))?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 286484440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/(p\/(p\/((p*p**0*p)\/p)*p)))\/p)**(27\/7)*((p**(-11)*p)\/p)\/(p*p**(-1)) assuming p is positive.\nAnswer: p**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -984*s = -855*s - 2064 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 76886\/5 + -15377. Let v(u) be the third derivative of -21*u**2 + l*u**5 + 0*u + 0 - 19\/8*u**4 + 6*u**3. Factor v(h).\nAnswer: 3*(h - 4)*(4*h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + 4*(sqrt(162) + (-1*sqrt(162) - sqrt(162))*-3) + 5 + (-1 + sqrt(162) + sqrt(162))*-5)**2.\nAnswer: 2592*sqrt(2) + 52552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 273150765 to the power of 1\/2, to the nearest integer?\nAnswer: 16527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 12537\/8 in 94, 9, -2?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) 120 (b) -1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 2*m**2 + 45*m + 25. Let d be o(-23). What is the highest common divisor of d and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -24112 (base 6) to base 9.\nAnswer: -4718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 2, -1, 2\/3, 0.5, -65003, 0.1, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1.9 in 348, -3, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 883 and -0.208?\nAnswer: -183.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (2 - -4) + (-10 - -9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*n + f - 7 = 0, 55*f = -n + 57*f + 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + g + 5 = -0*g, 16 = -4*g. Let l = 4 - d. Suppose 2*k - 3 = 3, -l*k = 4*b - 23. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1026 or 9793?\nAnswer: 9793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c = -0*c + 40. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 150 = -3*u. Suppose 0 = -0*w + 5*w - 60. Calculate the greatest common factor of u and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((n\/(n*(n**(-4\/7)\/n*n)\/n))**(-20\/9))**(-19\/5))**(10\/7) assuming n is positive.\nAnswer: n**(8360\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 3*o**2 - 2. Let j be g(3). Let p = 53 - j. What is the remainder when p is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -210b (base 14) to base 16\nAnswer: -163f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 27*l**2 - 33*l - 34. Let d be i(-1). Calculate the greatest common factor of d and 793.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -31*p**5 + 3*p**4 - 61*p**3 + 14056*p?\nAnswer: -620*p**3 + 36*p**2 - 366*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2531 is divided by 504?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 2 = -2*o, 0*o - 12 = -4*q - 2*o. Let p be ((-1)\/(-3))\/(q\/12). What is the smallest value in 1\/4, 2\/9, p?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -14 - -42. What is the remainder when 109 is divided by b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -8374\/39 - -2800\/13. What is the nearest to q in -2.8, -2, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/(a\/(a\/(a\/((a*a**(1\/6))\/a))*a))*a*a\/a**(1\/21))\/((a**(-3\/4)\/a)\/a*a**(-29)) assuming a is positive.\nAnswer: a**(2929\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*s**3*w**2 - s**3*x + 634*s*w**2*x - 10*s*w**2 - 2*w**2*x - 89*w**2 wrt x.\nAnswer: -s**3 + 634*s*w**2 - 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c be 510\/18 - (-2)\/(-1 - 5). Let i be (c\/8 - 4)\/((-1)\/4). Solve 10*d + d**i - 9 + 7*d**4 - 14*d**3 + 5*d + d**2 + 0*d**5 - d**5 = 0 for d.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -106051*o - 6854 = -105753*o for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 943057963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 123*r - 13 + 1724 - 93 + 1088 = 0 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3925 + 4697 = 168*s - 19*s + 1321 for s.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/61, -5, 3\/8, -4\/7, 0.3 in decreasing order.\nAnswer: 3\/8, 0.3, 2\/61, -4\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m = -4*z - 6 - 10, -3*m + 8 = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (4 + (-96)\/(5 + 11))*(-17)\/2\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (sqrt(175) + 2)**2.\nAnswer: 20*sqrt(7) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by -54102004\nAnswer: 1\/54102004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -9*r + 12. Solve -5*k = -r*h - 12, -11 = -k - 4*k + 4*h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1213124 - -405145?\nAnswer: -403535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find i such that 10*i**5 + 14*i**4 - 12*i**3 = 0.\nAnswer: -2, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.5 (b) 73 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.7 - -0.3. Suppose 0 = 4*b + o - 13, -b + 3*b + 6 = 2*o. Which is smaller: b or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -d**2 - 4*d + 3. Let u(x) = -x + 6. Let a be u(11). Let j be k(a). Is j equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 89\/2 of a milligram?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (13 - 11) + (-2 + 1 - 3) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 2*h - 1. Let q(z) = -z. Calculate -4*q(r) - 3*u(r).\nAnswer: -2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -9*o**2 + 6130*o + 231578. Calculate y(717).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10311*l - 5154*l - 5158*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 162405733 + -657.\nAnswer: 162405076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000102043 to 6 decimal places.\nAnswer: -0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-12)\/(-7))\/((-20)\/(-210)). Let j be 10\/4*m\/5. Let a(x) = 19 - 8 - j + 6*x. Let i(n) = n + 1. Give a(z) - 4*i(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -29023184, -29023177, -29023168, -29023157, -29023144?\n\"Answer: o**2 + 4*o - 29023189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -2 - -18 - ((-5 - -12) + -1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = a**3 + 6*a**2 - 2*a - 7. Let t be v(-6). Suppose 7942862 + 13057138 = t*r. What is r rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 65024, 64804, 64588, 64376, 64168, 63964?\nAnswer: 63764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = g. Let o(k) be the third derivative of 0*k**3 + 1\/24*k**4 + 1\/60*k**5 + 0*k + 3*k**2 + 0. What is h(o(m))?\nAnswer: m**2 + m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 12342 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*c = -93 - 195. Suppose z = 5*z + c. Sort -57, z, 1, -3.\nAnswer: -57, z, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.069, 0.3, 1\/4?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 54 and 1797?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 119051708 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (27\/((-162)\/(-5)))\/(2*3\/(-12))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (3*sqrt(70)*-1 - sqrt(70))\/(-2*sqrt(1440)).\nAnswer: -4 + sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*d**3 + 6*d**3 - 5*d**3 + (2*d - 5*d - d)*(-4*d**2 + 10*d**2 - 50*d**2).\nAnswer: 180*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -73*x**3 + 6*x - 2.\nAnswer: -438*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -1054*l**2. Let h(w) = 13355*w**2 + 2. Determine h(v(o)).\nAnswer: 14836283180*o**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 0.355649 * -0.892\nAnswer: -0.317238908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.3506 + -0.0494. Which is the nearest to 2\/7? (a) -1 (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4335)\/102)\/((-20)\/(-16)*-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = -10 + 9.82. Let j = 1034 - 1036. What is the second biggest value in 1, d, j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -2*h. Let m(w) = 166*w. Determine m(t(r)).\nAnswer: -332*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor 2\/7 - 2\/7*y**3 - 6\/7*y + 6\/7*y**2.\nAnswer: -2*(y - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 - 2*v)*(-1 + 1 - 9)*(0*v**2 - 2*v**3 + 0*v**2).\nAnswer: -36*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1851*v**5 - 232*v**3 - 2379052*v**2 wrt v?\nAnswer: -111060*v**2 - 1392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11 + -1010011?\nAnswer: -1010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + 2 - 7 = -4*m, 4*p = 5*m + 4. Suppose m*w = 2*w - 40. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -17*q**2. Let u(h) = -h. Calculate u(g(l)).\nAnswer: 17*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 3*f - 8. Let r be (-2)\/(-4) - f\/(24\/57604). Round r to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24695245 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -v + 9 + 7. Let x be 20 + -21 + 45\/3. Suppose 72 = -x*j + 23*j. Calculate the greatest common divisor of j and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -91*u**2 - u + 391.\nAnswer: -182*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yccycyyccyyycycyy. What is prob of sequence ycc?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 2*p = 0. Let a(f) = f**3 + 3*f**2 + 3*f + 2. Let m be a(-3). Let b = p - m. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1 + -1 - 48\/6. What is the common denominator of -87\/4 and ((-19)\/48)\/(2\/a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -41903 + 72819. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 459 divide 45612809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = -7145.04 + 6911. Let u = 229 + v. Let d = -0.04 - u. Sort d, -1\/4, 0 in decreasing order.\nAnswer: d, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 31904 and 95712.\nAnswer: 95712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -a**3 + 39*a**2 - 330*a + 77. Calculate c(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 182 (base 13) to base 15\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-one fifths of a meter in millimeters?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l be -186*((-1074)\/270 - -2). Let p = -368 + l. Which is the biggest value? (a) 2 (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -r**2 - r. Let a(f) = -f**2 + 3*f + 4. Let p(d) = a(d) + 2*q(d). Let x be p(0). What is the greatest common factor of 10 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 32482\/448192 + 3\/141\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -104.282725 rounded to 1 decimal place?\nAnswer: -104.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9 - 3348\/243 - -23.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 2356640, 2356643, 2356646, 2356649, 2356652, 2356655?\n\"Answer: 3*g + 2356637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + x = -3*p + 11, -p + 4*x + 7 = 0. Solve 0 = -3*o - 2*t - 7, -p + 7 = 4*t for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find h, given that -h**5 - 10*h**5 - 46*h**4 - 52*h**3 + 12*h**2 + 98*h**4 - h**5 = 0.\nAnswer: 0, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 0 - 2\/(-18) - 0. Let m be (-160)\/64*8\/(-30). What is the biggest value in m, j, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1138187 and 20309.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**(4\/5)\/r*(r*(r**(-4)*r)\/r)\/r*r**(4\/7)\/(r**(-1)\/r)*((r**(-5)*r)\/(r\/r**(2\/9)))**(-7\/6) assuming r is positive.\nAnswer: r**(7457\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 - (1 + -1 + 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 25336967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -2*v**2 - v - 1. Let w be l(-4). Suppose 0 = 2*j - 151 + 53. Let s = w + j. Calculate the greatest common factor of 50 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -10.1356 and -46.8.\nAnswer: 474.34608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1, -1\/4, 0.04586?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 38bc (base 14) to base 5.\nAnswer: 304331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 4 = -5. Let l(u) = -u**2 - u. Let y(v) = 7*v**2 + 3*v. Give d*l(g) + y(g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1024 is divided by ((-90)\/(-12))\/(1\/6 - (-4)\/16)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hmqhhjddh. What is prob of sequence jjqj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -4*t - 104. Let y be q(-26). Let a be 4\/20 - (-41)\/(-30). Which is smaller: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 628 minutes before 12:33 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 2*x + 46. Give r(-5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f, 1 c, and 1 g when four letters picked without replacement from {f: 5, g: 4, c: 3, i: 1}?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d = 156 - 1714\/11. What is the third biggest value in d, -1, 95, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 382694735 to the power of 1\/3, to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 0.3441085um?\nAnswer: 0.0000003441085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.023503 to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + 7 + -8 + (-3 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*l + 4*k + 24, l + 2 = -0*l - k. Find the common denominator of (-4 - 78\/33) + l and 19\/39.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 111021068*g*h - 432550943*h wrt g?\nAnswer: 111021068*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 111100000 (base 2) in base 6?\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be -30*33*(-6)\/(-45). Let y be 7\/(2 + h\/68). Let m = y + -68. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 10078\/3 + -100633\/30. Let p = -3 - -5. Find the common denominator of p\/3 + (-39)\/(-12) and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -27381 divided by 3\nAnswer: -9127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q and 2 g when four letters picked without replacement from xgnggqdffgqgfxgxg.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*c - 2*c - 4 + 5 + 0 to the form r*c + b and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 24 and 1440.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = o + 1. Let c(q) = 7*q**2 + 7*q. Let i(v) = -15*v**2 - 15*v. Let u(d) = -13*c(d) - 6*i(d). Let l(h) = -2*m(h) - u(h). Let x = 28 - 26. Determine l(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*u + 2*u + 3*o = -3, -u = -3*o + 15 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 87*h + 35 = 80*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = a + 11. Let t be o(-7). Let b = 7 + -5. Calculate the greatest common divisor of t and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -22 - -18. Let j be 3\/((-1)\/(s\/12)). Is -2\/15 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 609*y**2 + 22. Let i be g(4). Suppose 9*n = i + 9611. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i - 7*y - 29 = -2*y, 5*i - y = 0. Let u be (2 + i)*(-2 + (-64)\/(-30)). Which is the closest to 0? (a) u (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -789252300 divided by 263084100.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 698f (base 16) in base 12?\nAnswer: 1377b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 8*g**2 + 115*g. Let n(d) = -25*d + 2. Give n(c(z)).\nAnswer: -200*z**2 - 2875*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = -89 + 96. Solve 5 = g*h - 8*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -52*z**3 - 41*z**3 - 57*z**3 - 4*z**3.\nAnswer: -154*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = -133 + 133.00123. Round x to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(-3*sqrt(33) + sqrt(33))\/sqrt(11).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n**4\/15 - 398*n**3\/15 + 386*n**2\/5 + 1194*n\/5 - 3528\/5 = 0. What is n?\nAnswer: -3, 3, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) be the second derivative of i**4\/12 + 2*i**3 + 4*i**2 - 2*i. Let y be l(-11). What are the prime factors of 12\/y - (-50 + 1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3192474213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-228)\/(-56)*10\/(-528). Let o = 1\/176 + l. Let y = o + -3\/7. Which is the nearest to y? (a) -4 (b) -0.4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) be the third derivative of -c**5\/12 + 13*c**4\/12 - 274*c**3\/3 - 372*c**2. Find the first derivative of p(g) wrt g.\nAnswer: -10*g + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) 2\/9 (b) -0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-2\/3)*x\/x**(1\/4))\/(x\/(x*x\/((x*x**(-2\/5))\/x)))**(30\/13)*((x**(-4\/3)*x)\/x**(4\/3))**(-6\/11) assuming x is positive.\nAnswer: x**(7247\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -88153471 to the nearest one million.\nAnswer: -88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fwdpidiiwws. What is prob of sequence pd?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11 + 121001?\nAnswer: 120220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = 11 - 12. Let m(s) be the third derivative of 3*s**5\/40 + s**4\/24 - s**3\/3 + 2*s**2. Let v(p) be the first derivative of m(p). Calculate v(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25799954737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -212940 divided by -273\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:08 AM and 11:58 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 335 is divided by 260?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 2241343 (base 6) to base 11.\nAnswer: 78a4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1325 and 150.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 21*s - 13. Let r be v(-3). Let d be -6*r*(-1 + 21\/36). What is d rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3318042 is divided by 474005?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -14*a**2 + 3*a**3 - 3*a - 2 + 14*a**2. Let u(w) = 13*w**3 + w**2 - 13*w - 9. Let n(s) = -1081*s + 3245. Let p be n(3). Determine p*u(g) - 9*i(g).\nAnswer: -g**3 + 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -5, -59, 0.4, 3\/2, -0.0031?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(-1)*l\/(l\/(l*l**4))*l**(2\/3)*l**(-1)*(l**4*l**(-2\/7))\/(l*l\/l**(-4)*l*l*((l**(3\/4)\/l)\/l)\/l) assuming l is positive.\nAnswer: l**(137\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide 64976 by 2.\nAnswer: 32488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -190, -3194, -8202, -15208, -24206, -35190, -48154, -63092?\n\"Answer: n**3 - 1008*n**2 + 13*n + 804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 13900.293 != -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = 20 + -17. Suppose -4*g = -3*b + 100, -190 + 38 = -5*b + v*g. What is the smallest common multiple of b and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 952 = -a, 0*q + 4*a - 255 = -q. What are the prime factors of q?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 29195, 232803, 785225, 1860869, 3634143?\nAnswer: 6279455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 103\/264 - 5\/24. Let n = -2.7 + 3. Suppose 204*r = 188*r + 16. Which is the smallest value? (a) t (b) r (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1602577748?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4 - 2. Let k = 2736 - 2650. Calculate the greatest common factor of b and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 55*w - 22512 = -6*w. What is the remainder when w is divided by 35?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12*h**2 + 6*h**3 + 12*h**2)*((-4*h + 1 + 5*h + 0*h)*(-2*h + 1 - 1) + 4292*h**2 - 1607*h**2 + 1344*h**2).\nAnswer: 24162*h**5 - 12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 2781577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 906 and 4979678?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*3*4\/(-36).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*u**2\/11 - 300*u - 619488\/11.\nAnswer: -2*(u + 216)*(u + 1434)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -27\/4, -5, 0.3, 5, 3\/4.\nAnswer: -27\/4, -5, 0.3, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.21 + -0.2100093. What is a rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 173917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let 2*l**4 + 66*l**3 + 630*l**2 + 2350*l + 3000 = 0. Calculate l.\nAnswer: -20, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 293a - -1?\nAnswer: 2940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 27 minutes before 8:38 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 261 is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18*5\/(-80) - ((-279708)\/(-864))\/(-163).\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -52962*g**3 + 2*g**2 - 3*g - 1. Let s be q(-3). What is s rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 397 (base 10) to base 5\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(1\/4)*a\/(a*a**6\/a*a*a))\/(a\/(a\/(a\/(a*a**(-1))*a)*a))**(-23)*((a*a*a**1*a)\/a**(2\/13))\/(a*a*a\/((a\/a**(-2\/5))\/a)*a*a**6*a*a) assuming a is positive.\nAnswer: a**(2209\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) be the second derivative of p**5\/20 + 2*p**4\/3 + p**3\/6 + p**2\/2 + 20*p. Is s(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 2*l**2 + 35*l - 13. Let a be t(-18). Suppose -a*d + 3*g = -1285, 0*d = -3*d + g + 767. Does 19 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -111\/2 (b) 0 (c) -1 (d) 158.96 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = o + 121 - 116 + 2*o - 9*o. Determine w(9).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15479.\nAnswer: 23, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u = u + 4*g + 23, 1 = 3*u - 5*g for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (6\/(-54)*-6)\/((-10)\/(-13995)).\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**0*l\/(l*l\/(l\/(l*(l**(-5\/3)\/l*l)\/l)))*l assuming l is positive.\nAnswer: l**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 5a (base 16) to base 15\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = 50 + -48. Let v(q) = 13*q - 9. Does 4 divide v(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 11 + -220038?\nAnswer: -220027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -2*o**2 - 8 - 18 + 1 + 2 - 7*o + 5*o. Give k(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {p: 2, n: 2, m: 8, w: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 66172926511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/(l\/((l*l**2\/l)\/l))*l)**(-34)*l\/(l\/l**(-1\/2))*l*l**(1\/10)*l)\/(((l\/l**(-3))\/l**(-3\/2))\/((l\/(l**(-2)\/l))\/l)**34) assuming l is positive.\nAnswer: l**(301\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 75*y - 180 - 195 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 1493*t + 170214. Give u(-114).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 33 - 2*h**2 + 34 - 67.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -g - 5*c = 11, 4*g = 101*c - 52*c - 53*c + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 2348118 to the power of 1\/3, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = 1, t + 9543 = 6*t + 3*v. Suppose -5*l = 5*p - 1165 - 1190, t = 4*l - 2*p. Is l a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 4*n - n = -16, 0 = -5*c - 3*n + 17. Sort -5, c, 2.\nAnswer: -5, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4646 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -t**3 - 213*t**2 - 212*t.\nAnswer: -t*(t + 1)*(t + 212)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 2 + 1)*(-5*u + 2*u + 2*u)*(1 + 0 - 5).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 17, 4\/9, -4 in descending order.\nAnswer: 17, 4\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = -12.6 - -12. Let q = b + 0.8. Let x = 0.3 - q. Put 1, 5, x in ascending order.\nAnswer: x, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -4.3472634 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -3*b. Let a be (-24)\/40 + 23\/5. Let q(h) be the second derivative of 11\/12*h**a + 0 + 0*h**2 + 13*h + 0*h**3. Calculate q(w(d)).\nAnswer: 99*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eqyyqqqqqqqea. What is prob of picking 1 a and 2 y?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 4, s: 7, z: 3, p: 1, a: 2}. Give prob of picking 1 p, 1 a, and 1 s.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m be 256\/200*2735\/(-42). Let n = m - -422\/5. Calculate the common denominator of -53\/27 and n.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 119302918 is divided by 990?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -3128088, -3128097, -3128106, -3128115, -3128124, -3128133?\n\"Answer: -9*l - 3128079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 6859*l**3\/3 - 361*l**2 + 19*l - 1\/3.\nAnswer: (19*l - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -3 divided by -91\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 16, x: 4}. Give prob of sequence xxcc.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2 - 1.4. What is the closest to y in 0.5, -0.5, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 2*b + 7. Let l be (63\/126)\/(3\/(-18)). Let w(t) = -t. What is l*w(n) - c(n)?\nAnswer: n - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = 281651881\/1560 - 180546. Calculate the common denominator of -79\/160 and s.\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f**(-2)*f)**(-3\/38)\/(((f**20\/f)\/f)\/f*f*f*f**16) assuming f is positive.\nAnswer: f**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1938\/11 + -177. Let t(c) = c**2 - 3*c - 10. Let n(q) = 2*q - 13. Let w be n(9). Let o be t(w). Do o and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 319663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l be 413\/(-28) + 1\/(-4). Let h be (-2)\/l + (-344)\/(-120). Factor -2\/9*y + 2*y**h + 0 - 22\/9*y**4 - 2\/9*y**2 + 8\/9*y**5.\nAnswer: 2*y*(y - 1)**3*(4*y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: ((6\/20)\/(556\/(-8)))\/((-705)\/2350)\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q be 9\/((-27)\/(-12)) - 2. Calculate the greatest common divisor of q and 39.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d = -4*a - 659, -2*d = -4*a - 186 - 80. Suppose -5*t + d = -2*t + 4*z, -4*z = 2*t - 94. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 23*p - 30*p + 5*p. Let k(d) = 9*d**2 - d. What is j(k(t))?\nAnswer: -18*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 964 < 800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 990 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: Divide -4824 by -402.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert -2121105 (base 6) to base 14.\nAnswer: -29c41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 79*y - 11 - 137*y + 56*y. What is the tens digit of j(-39)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2919 = 9*v - 9030. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + b = -28, -b = -5*c - 85 + 33. Let y = c + 13. List the prime factors of (2*-13)\/((-6)\/y).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2146.8 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ogg when three letters picked without replacement from gogog?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 979 and 267.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -23 = 5*p + 4*b, -5*p - 23 = -b - 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 33816749 and 1941.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*y - 16 - 2. Suppose -y*a = a - 96. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -313147775 divided by 1.\nAnswer: -313147775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (0 + (sqrt(931) + sqrt(931) + (-2 + sqrt(931) + 1 - sqrt(931)) - (-1 + sqrt(931) - sqrt(931))*-5)*3*-3)**2*-1.\nAnswer: -304564 + 13608*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-40)\/(-12) + 2\/4. Let n = z + -7\/2. Find x, given that -1\/3*x**2 + n*x + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.143 - -1.903. Let z = -3.76 + n. Let h = -1 + -2. Which is the closest to 1\/7? (a) h (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 551*l + 606*l + 244*l - 41*l.\nAnswer: 1360*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (11 - 6) + -9 + (-3 - -13 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 151288 is divided by 1015?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 46679?\nAnswer: 46679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -12*p + 16. Let i be w(4). Suppose -187 = -5*f + 4*f - n, -f - 4*n + 202 = 0. Let s = f + i. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 1881 divided by 3\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -468*o**3 - 566*o**3 + 19 - 7*o**2 - 20.\nAnswer: -1034*o**3 - 7*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = p**2 + 248*p + 731. Let d be b(-3). Put -1\/6, d, -4.1, 0.5 in increasing order.\nAnswer: -4.1, d, -1\/6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = c. Let x be h(-1). Let n = 2 - x. Let f = 7.6 - 7.4. Are n and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -9*y - 11*y - 167 + 172 - 3*y. What are the prime factors of v(-9)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 608677.\nAnswer: 608677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 991567.8 centuries to months.\nAnswer: 1189881360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1175 + 1171. Let m(l) = -l - 1. Let t(b) = 1. Let q(w) = -3*m(w) + t(w). Calculate q(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -3*z**2 + z. Let a be 18\/5 + (-18)\/30. Let s(r) = 3*r**2 - r. Let b(n) = a*w(n) + 4*s(n). What is the second derivative of b(o) wrt o?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1688 + -1115. Suppose 7*i = 4*i + o. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 196 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -68, -15, 32, 73?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) be the third derivative of 133*j**4\/24 - 223*j**3\/3 - 24*j**2 - 2*j. Let k(b) = -67*b + 226. Let p(f) = -7*k(f) - 4*q(f). Differentiate p(a) wrt a.\nAnswer: -63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yeslsyb. Give prob of sequence bsyl.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-17 - (-12 + (13 - 2))) + 17 + 43?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 20 - 21*h - 20 + (-9*h + 4*h + 12*h)*(0 - 2 + 1) + 2 + h - 1 + 1 in the form c*h + k and give c.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -1 * 129.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c\/(c**6*c))\/c)\/(c**(1\/7)\/c)*(c**(-2))**(-6))\/((c\/c**(-1))**(-48)*c**(-4\/5)*c\/c**1) assuming c is positive.\nAnswer: c**(3593\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 6 (b) -3\/8 (c) -5 (d) 0 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1260004135 is divided by 270.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -4\/145981 (b) -2\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 92, -786, 5 in decreasing order.\nAnswer: 92, 5, -786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 33882109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -164231 = 3643*r - 415598 for r.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 670 minutes before 9:30 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7243232 is divided by 189?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 581 minutes after 10:35 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -59?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 5569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) -4 (b) 2 (c) 0.4 (d) -0.8825\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 138694 is divided by 133925?\nAnswer: 4769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 3*u - 3. Let b(k) = 6*k - 7. Let z(i) = 2*b(i) - 5*r(i). Is z(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4386454 or 4386447?\nAnswer: 4386447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*z**3 + 1787 + 5*z**3 + 2288 + z**3)*(-3*z + 2*z + 2*z) to the form p*z**2 + u*z**4 + j*z + l + q*z**3 and give j.\nAnswer: 4075","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 3 + 7 = 0. Let t(q) = -9*q - 9 + x - q**2 + 5. What are the prime factors of t(-7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -x**3 + 5*x**2 + 6*x + 5. Let b(v) = -v**2 + 14*v - 18. Let q be b(12). Let j be f(q). Put j, 4, 3 in ascending order.\nAnswer: 3, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 15\/16 and -73\/188.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:30 AM and 10:42 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 2651 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 3340*c - 7153 = 46795 + 29552 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = o**3 - 2*o**2 + 4*o - 79. Give n(0).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 3*q**2 - 6*q - 3. Suppose 3*l - 51 = -5*m, 5*l + 3*m - 122 = 7*m. Let u be ((-10)\/(-4))\/(11\/l). Is g(u) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -18 - -6. Let d be 25\/4 - (-3)\/m. Let x be 1\/((-3)\/(-3*d)). Solve u = x*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*f**2 - 1 + 4*f**3 + 6*f**2 - 2 - 16*f**2.\nAnswer: 4*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -111088 = -99*l - 24562. Calculate the greatest common divisor of l and 322.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*i**2 + 16*i**2 - 5*i**2 - 9*i**2 - 3*i**2 - 8*i**2.\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Multiply -264 and 1776203.\nAnswer: -468917592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 185 - -0.183\nAnswer: 185.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 66 = -37*y - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 2402 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 5650293525 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1524380 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor i**2 - 1512*i - 137428.\nAnswer: (i - 1598)*(i + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -3 (b) -8 (c) -4 (d) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -164*l**2 + 112*l. Let w(i) = 1478*i**2 - 1010*i. Let n(b) = 6*w(b) + 52*z(b). Find the second derivative of n(h) wrt h.\nAnswer: 680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8095545 is divided by 471?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1780 + -1227. Calculate the remainder when n is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**0)**(-8)*f\/f**(5\/3)*f**(-1\/3)*f**(-5)*f**(4\/9)*(f**1*f)**(1\/4) assuming f is positive.\nAnswer: f**(-91\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 126811177?\nAnswer: 17, 438793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 3, z: 1}. What is prob of picking 3 m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) be the second derivative of -2 - 1\/105*q**6 - 16*q + 8\/7*q**2 + 1\/14*q**4 - 2\/3*q**3 + 2\/35*q**5. Solve n(x) = 0.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -0.20374 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = -105 - -104. Which is the nearest to l? (a) -4 (b) 8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -186*a**3 - 2*a**2 - 2*a - 1. Let p(k) = -k + 1. Let t be p(2). Is j(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -30, -97, -180, -285, -418, -585, -792, -1045?\n\"Answer: -b**3 - 2*b**2 - 54*b + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 2 + 1c0e28?\nAnswer: 1c0e2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -16*a**2*h**4 + 22*a**2*h**2 - 158*a*h**4 + 1585*a*h**2 wrt h?\nAnswer: -384*a**2*h - 3792*a*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + 4*o + 6 = -6, -9*n + 5*o = -19. Let p = -6.7 - -7. Let j = 3 - 4. Which is the closest to n? (a) p (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -248 less than -1929114?\nAnswer: -1928866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*m + 5*c - 10 + 678, -4*m = 5*c + 889. Let r = m - -152. Let h be -60*(3 - (r\/(-12) + -2)). Calculate the greatest common factor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 10 = -4*y, -2*y + 7 = 3. Let n be -1 + (2 - 2) + 2. What is the highest common divisor of w and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -524, 0, 6, -4, -6 in descending order.\nAnswer: 6, 0, -4, -6, -524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/20579 at least -89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 139810000 to the nearest 1000000.\nAnswer: 140000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -6a9 (base 12) to base 14\nAnswer: -50d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 31*k**3 - k - 3*k**2 - 25*k**3 - 29*k**3 - 139*k**3 to m*k**2 + a*k**3 + r*k + p and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 65 + 112*j**2 - 131 + 66.\nAnswer: 112*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x be (110\/88)\/(3\/(-12)) + 8. Solve -5*m - 12 = x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/10 + 28\/(-10). Let p = 9 + w. Let f = p + -1. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000703164 to five decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -h + 18. Let b be j(14). Suppose -l + 4*t - 3*t + 2 = 0, -3*l - b*t + 6 = 0. Suppose -3*a = 0, a + 53 = l*u - 1. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3481423 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 44579 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -v**2 + 12*v + 219. Give l(9).\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-83*i**4 + 79*i**4 + 54*i**4 + (-4*i**3 - 3*i**3 + 6*i**3)*(2 - 2 - 3*i))*(2 - 4 + 0)*(2 - 1 + 0 + 3 + 1 - 3 + (-2 - 1 + 1)*(1 - 6 + 4) + 0 + 6 - 1).\nAnswer: -954*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-16)\/(-12))\/((-4)\/(-18)). Let r = 4 - -12. Solve c - 4*i - o = 0, 2*i + r = -5*c - i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -151\/3 + 50. Let k = -512 + 511.8. Which is the closest to k? (a) 1 (b) -1 (c) o (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from pwdp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -53\/10 and -37\/75750?\nAnswer: 75750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 14243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 29387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -22, -4, -5, 1516 in increasing order.\nAnswer: -22, -5, -4, 1516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 16959919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(171)*-2 - sqrt(171))\/((sqrt(90)\/sqrt(2))\/sqrt(5)))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 8 (b) -1\/5 (c) 216405 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -c = -5*j + 30, 35 = -5*c - 245*j + 247*j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 36*b + 277150 = 41*b, 3*k - 166272 = 3*b. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = 3*t**3 + 6*t**2 - 19547*t + 78177. Calculate v(4).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 18490.00000135896 + -18490. Round o to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2050.146ng to micrograms.\nAnswer: 2.050146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -1 (b) -0.16 (c) -0.7 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 31682?\nAnswer: 2, 7, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -1865445 * 0.3\nAnswer: -559633.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -5 - 3*m - m + 15*m wrt m.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2*12\/420*(-7)\/(-6)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 9446\/7 less than or equal to 1348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -5\/8, -1\/11, -0.1, -2, -6, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -127917311169 - -127918438618.70027. Let a = g + -1127393.7. Let l = -56 + a. What is l rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*w**4 + 210585*w**3 + 8217378*w**2.\nAnswer: -3*w**2*(w - 70234)*(w + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*c + 53 = 47*c + 693 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 36 - 18. Let s = 7 - y. Let j = s - -11.0022. What is j rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from cmmkmkjcmo. What is prob of sequence ckcm?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(528)\/(sqrt(12)*-1) + 2 + (sqrt(44) - (2*sqrt(44))**2)).\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1185200, -1184890, -1184580, -1184270, -1183960, -1183650?\nAnswer: -1183340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) be the third derivative of -o**5\/60 + o**4\/3 + o**3 + o**2. Suppose 14 = -u + 3*u. What are the prime factors of m(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bbabbbbpavlblamb. Give prob of sequence alvp.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13340 is divided by 242.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 2.1296971 to 3 dps.\nAnswer: 2.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*q**2 + 0 - 1 - 7*q**3 + 8*q**3 to the form f*q**2 + w + b*q + g*q**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -57069, -57175, -57471, -58053, -59017?\n\"Answer: -16*v**3 + v**2 + 3*v - 57057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - (-5 + 3)) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-k**2 - 2*k**2 + 4*k**2)*((2 - 5 + 1)*(4 + 1 - 6) + 1 + 0 + 0 + 1 - 1 - 7).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -256 divided by 58.\nAnswer: -128\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = p - 3. Let v be a(5). Suppose -2 = -h + v. Solve h*n + 3 = -5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 1, p: 11, h: 2}. Give prob of sequence phlp.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 33520 and 14920?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -6 - (-4 + 0 + 1 + -77890 + -10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12 divided by -2506?\nAnswer: -6\/1253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 116654408 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k = 21 - 17. Let g = -30 - k. What is the units digit of 1 - g - (-7 - -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*u - 11*u**3 + 28*u**3 + 0*u.\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (-67)\/(3618\/828)*4*(15\/(-20) - 0)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3*n + 3*n - 5*n)*(n**2 + n - n) + 2*n**3 + n - n)*(2 - 3 + 4).\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a = 6 + -5. Suppose 2*w - 2*h + 14 = 0, 2*w + h + 6 = -h. Let c be 1\/w*1*-5. Calculate the greatest common factor of c and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in -6\/23, -0.5, -235, 0.5, -26\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*h + 5*u = -14*h + 14, -265*h - 2*u - 1 = -264*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -5*m + 1. Let b be r(-1). Let t = -2 + b. What is the lowest common multiple of t and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-4 + 6 + -1)*2 - -4. Let m(g) = 7 - r*g - 2*g + 6*g - 8*g. Let c(i) = -5*i + 3. What is -7*c(v) + 3*m(v)?\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 4*f = -0*f + 2, 0 = -5*t + 3*f + 19. Let v = 25 - 27. Let y = -4 - v. Put -11, y, t in descending order.\nAnswer: t, y, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.1 - -0.2. Let f = -4 + 3.9. What is the closest to f in -2, 0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 41452?\nAnswer: 2, 43, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.299 in 3\/14, 0.17, -1\/5, 0, 9?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -14, -88, -212, -386, -610, -884, -1208?\nAnswer: -1582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be 553 + 0 + 28 + -28. Suppose -4*y - k = -2*r + 307, r = -y + 439. List the prime factors of r.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -4*u - 3*u**3 - 7*u**3 - 11 - 8*u**2 + 9*u**3. Is 20 a factor of p(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-15)\/5 - 7\/(3 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1936, 2, 3, 231.\nAnswer: 2, 3, 231, 1936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -k - 2. Let o be m(4). List the prime factors of (-2*21)\/(o\/4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 13*s**3 + 4*s**2 + s - 8. What is the tens digit of v(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -2*o - 3. Let a be t(-3). Let r = 6 - a. Let m = 1 + r. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12 + -1210201122?\nAnswer: -1210201110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8575449?\nAnswer: 3, 2858483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0007168316 rounded to 6 decimal places?\nAnswer: -0.000717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 10 (base 14) to base 16.\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 5 (b) 0.051 (c) 1\/4 (d) 0.2 (e) 0.04 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 188*b + 2 - 11 + 9.\nAnswer: 188*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 6*u = 63. Let m be u\/7*(259 + (1 - 3)). Find the common denominator of m\/390 - 8\/(-20) and -61\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b = o + 5, 2*o + 2 = 2*b + 4*o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6 - (6 + -6)) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 428581?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:02 AM and 5:01 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 3268, 3526, 3784?\n\"Answer: 258*h + 3010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -2709*z - 14. Let x(g) = -899*g - 5. Give 4*v(n) - 11*x(n).\nAnswer: -947*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -34.3 + -320?\nAnswer: -354.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*o + 50*o - 31 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.0676 and 15333.\nAnswer: 1036.5108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 4*j + 32. Let m be k(-1). Calculate the highest common factor of m and 434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (90\/(-360))\/((-1)\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-35)\/(-84) - 2\/(-6). Let w = 0.3 + -4.3. Which is the nearest to 2? (a) w (b) f (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -110 + 185. Let s(r) = 38 + 16*r**2 + 48 - i + 22*r. Is s(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -155 + 1397\/9. Let h = 8 - 3. Suppose -h*i - 15 = -5. Which is the biggest value? (a) 3 (b) i (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 191413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2)\/(2 - (-16)\/(-10)). Put -1, x, -3, -4 in descending order.\nAnswer: -1, -3, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/r**8*r**(-1\/9))\/((r*r*r\/r**1)\/r*r)**27*((r*r**(-6\/11))\/r**(-10))**(2\/69) assuming r is positive.\nAnswer: r**(-6020\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = 24 - 15. Suppose 0*x = -4*x + 28. Suppose 2*c + 2*z - 24 = 0, x + 9 = 4*z. Calculate the lowest common multiple of c and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 141319, 141324, 141331, 141340, 141351, 141364, 141379?\n\"Answer: t**2 + 2*t + 141316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 35 + -4325?\nAnswer: -4250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = -3*n - 2*n - 19, 2*s + 10 = -4*n. Let i be (n\/(-2))\/((-4)\/8). Let u be i - ((-51)\/9 + -3)*3. Calculate the highest common factor of 92 and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -3*g**3 - g**2 - 5*g - 13. Let t(o) = o**2 - 35*o - 80. Let n be t(37). List the prime factors of d(n).\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l**(-14)\/l*l**24)\/((l*l\/(l**(2\/87)*l*l))\/l**(1\/5)) assuming l is positive.\nAnswer: l**(4447\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3295 and 33046873.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-3)\/2 - 3\/2. Let g be s\/(18\/4)*-3. What is the third derivative of 0*t**6 + 3*t**6 + t**5 - t**5 - t**g wrt t?\nAnswer: 360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -35 + 39. Solve -5*x - 12 = -2*b, -3*b + 5 = c*x + 33 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 6\/5*(-13050)\/(-580). Let f = -21 - -30. Solve -f*d - u = 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 36\/(-30)*15\/6. Suppose 0 = 4*b - 4*a + 4, 5*b + 2 = -a + 3. Suppose -d + 2*z = 5, -4 = 3*d + 5*z - b. Is d less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 1, 6000, 2, -5 in decreasing order.\nAnswer: 6000, 4, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 4*q + 3*q**2 - 9*q + 2 - q**2 + 3. Let g(z) = z**2 - 3*z + 3. Let u(k) = -10*g(k) + 6*l(k). Let m(p) = 4*p. Give u(m(x)).\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 3 + -1024?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w\/(w*w\/(w\/(w**19*w))*w))\/(w**3\/w))**(-39) assuming w is positive.\nAnswer: w**897","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -4*v**3 + 3*v**2 - 11*v + 7. Let p(z) = -4*z**2 - 2 + 5*z**3 - 1 + 12*z - 5. Let k(n) = 5*p(n) + 6*y(n). What is the tens digit of k(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 134598862 and 2452.\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 6*m**3. Let n = -3 + 2. Let c be l(n). Let y be 286\/14 - c\/(-14). Calculate the greatest common factor of 8 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6 in 5, 1.41, -2\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6479330 divided by 99682.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -37*u - 2. Let b be 1\/5 + 1806\/(-105) + 19. Let c(a) = -1. Determine b*c(j) - p(j).\nAnswer: 37*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -520322*10\nAnswer: -5203220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -107, -58, -5, 2\/11, 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 132572 - -1521?\nAnswer: 134203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -18\/139405 or -1?\nAnswer: -18\/139405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 576 minutes before 3:14 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) be the first derivative of x**2\/2 - 7*x + 3. Let i = -1 - -3. Suppose -24 = -2*t - i*t. Give r(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 600 - 594. Let z(p) = -4*p**2 + 6*p - 5. Let b(l) = -5*l**2 + 7*l - 5. What is n*b(r) - 7*z(r)?\nAnswer: -2*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3539 + -4.\nAnswer: -3543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -1, -5, 22, 3.1, 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -53, -60, -73, -92, -117?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of q**5*z - 15*q**4*z + 1686*q**4 - 74331*q**2*z wrt q.\nAnswer: 60*q**2*z - 360*q*z + 40464*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/((f**(-8)*f)\/f*f)*f)\/f**(-13)*f*f*f**(6\/7)*f*f**(3\/2) assuming f is positive.\nAnswer: f**(383\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -117\/120190 and 11\/35350?\nAnswer: 600950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*i**2 - 2*i**2 - 5*i + 5*i + 310.\nAnswer: 2*i**2 + 310","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6930*p + 1 = -6931*p + 2*t, 2*p - 2*t = 4. Suppose -i + 15 = -14. Let x = -18 + i. Solve 1 - x = -p*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-84820023026)\/(-15435) + (-4)\/(-10). Let c = -5495305 + f. Let t = c + 1\/343. What is the smallest value in t, -0.5, -2\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*s\/s**(-1\/2))**17)**(-10) assuming s is positive.\nAnswer: s**(-425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 5*g**2 + 0*g**2 + 9*g**2 + g - 4*g**2. Let y be a(-1). What is the highest common factor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -2, -29 in descending order.\nAnswer: -2, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6155*m**4 + 1 - 3*m**3 + m + 0*m + 6157*m**4 to the form x*m + j + v*m**4 + k*m**3 + i*m**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1330 and 532?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 121022360 and 440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 6.234520003 to two decimal places.\nAnswer: 6.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 46059 and 16783191.\nAnswer: 218181483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) be the second derivative of -29*f**3\/3 - 7*f**2 - 746*f. Let n(x) = 19*x + 5. Give -8*n(w) - 3*z(w).\nAnswer: 22*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -60*d = 60*d - 38*d + 4674 for d.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -200*4\/(-480)*(-162)\/6.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -29*z - 4. Let q be d(-3). Suppose -2*p + q = 3*p + 2*h, 2*h + 53 = 3*p. What is the remainder when 66 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 4*z**2 + 15*z + 6. Is c(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11 + -1000111101011110?\nAnswer: -1000111101100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2191356*i*s - 2572052*s with respect to i.\nAnswer: 2191356*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((sqrt(130)*-4)\/sqrt(10))**2 - ((6*sqrt(65)*-5)\/sqrt(5))**2.\nAnswer: -10868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = 3*j**3 + 9*j + 5. Let k(s) = 3*s**3 + 10*s + 6. Suppose 3*q - 1216 + 1234 = 0. Give q*t(x) + 5*k(x).\nAnswer: -3*x**3 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g be (25\/10)\/(2\/4) - -121. Suppose 50*h - g = -13*h. Calculate the remainder when (-58)\/(-8) + 1\/(-4) is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -s**3 - 8*s**2 + 6*s + 7. Let l be v(-9). Let g be -1*l\/28 - -1. Let y = -79\/42 - g. Which is the nearest to 1\/3? (a) y (b) -4 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 17573 + -17593.887. Let f = -1.24 - 19.76. Let z = f - p. Round z to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence adaa when four letters picked without replacement from {s: 7, a: 2, o: 3, d: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000107035504 to seven decimal places.\nAnswer: -0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = p**2. Let z(l) = -l**3 - 7*l**2 + 7*l - 7. Let u be z(-8). What is the units digit of j(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m = -3*m. Suppose m = 5*q - 4*c - 5, -4*c + 5 = -2*q - 5. Solve -2*j = -j + q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 2112101 (base 3) to base 13\nAnswer: ac0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -361 - -360. What is the nearest to 1 in -4, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 955 is divided by ((-136)\/24 - -3)*(-178 + 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5928 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -6152175, -24608704, -55369583, -98434812?\n\"Answer: -6152175*o**2 - 4*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1228080511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -4\/21489 and -11\/3306?\nAnswer: 42978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in three eighths of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = -340 - -348. Let r = -14 - -16. Suppose -5*d = -r*d - 12. Which is smaller: u or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -132*j + 1541577 = 35*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 69125 times -1\nAnswer: -69125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:14 AM and 5:45 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -89aa - a4?\nAnswer: -8a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3, -6, -39, -108, -225, -402, -651?\nAnswer: -984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w*w**13*w*w)**(-23)\/(w**(2\/25))**(-28))**(-2\/55) assuming w is positive.\nAnswer: w**(18288\/1375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3021)\/53 - (-10319)\/181.\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -1609087 plus -33?\nAnswer: -1609120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 197346 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3384186?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = 20*n. Let f(z) be the third derivative of 0*z - 5\/8*z**4 + 0*z**3 - 108*z**2 + 0. Calculate f(r(a)).\nAnswer: -300*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2322b5 - -16a?\nAnswer: -232147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00004068897 to 6 decimal places.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-8)\/(-36) - (-5 + 5). Which is the second biggest value? (a) 1\/4 (b) 13 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = 2*l + 15. Let d be m(-7). Let x(b) = b**3 - 10*b**2 + 10*b - 2. Let k be x(9). Suppose 4*z = -5*u - 0*z + k, u = 5*z - 16. Which is greater: u or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.29 in -0.4, -6538375, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from feftgtttttfgftg. What is prob of sequence eg?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 305 - -392c?\nAnswer: 3c33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 0*m + 4 = 4*z, 4*m - 4 = z. What is the greatest common factor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/63*1)\/(10*(-41)\/1435)*11?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in m - 53*m**3 - 51*m**3 + 73*m**3 - m.\nAnswer: -31*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 156, 540, 1182, 2106, 3336, 4896, 6810, 9102?\nAnswer: 11796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence prp when three letters picked without replacement from rrrppprpppprrpprrpr?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -34*n - 7*n = -33*n + 96 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -115*j + 2. Let q(k) = -113*k + 3. Calculate -4*c(z) + 3*q(z).\nAnswer: 121*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 1, h: 2, o: 9, s: 2}. What is prob of sequence bh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -2*s - 2*l, 0*l - 5*l + 12 = -s. Suppose -s*p = -1 - 5. Differentiate 2 - k + 2*k - p*k wrt k.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 58038 and 816?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 19 + -10 - (20 + -2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*v**3 - 3 + v**3 + 2*v**3 wrt v?\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -4\/5 (b) -5\/2 (c) -0.01 (d) 26 (e) -3 (f) -14\/87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = 51*j + 35. Let b(k) = 44*k + 30. Let d(m) = 7*b(m) - 6*t(m). Let a(y) = -271*y - 1. Give d(a(n)).\nAnswer: -542*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z = -54.5 - -55. Which is the smallest value? (a) -3 (b) z (c) -0.3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*g + 3*x + 207, -2*g - 3*g - 211 = -x. Let w be (4\/g)\/(5\/15). What is the closest to 2 in -2, w, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve f - 4 = j, -6*j + 22 = -4*f + 40 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 31500 and 3500.\nAnswer: 31500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -1011000 (base 3) to base 4.\nAnswer: -31011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) be the second derivative of y**4\/90 - 20*y**3\/9 + 33*y**2\/5 + 398*y. Determine w so that x(w) = 0.\nAnswer: 1, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 4, v: 2, d: 3}. Give prob of picking 2 d, 1 f, and 1 v.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1102001100120 - 1101?\nAnswer: -1102001101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*z**3 - 31*z**3 + 17*z**3 + 15*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.927453 days to seconds.\nAnswer: 80131.9392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) be the first derivative of 2*t**2 - 94. Let h(w) = -10*w**2 - 11*w. Let i(c) = c**2 + c. Let s(u) = -2*h(u) - 22*i(u). Calculate s(v(m)).\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let -20*t**5\/7 - 4507*t**4 + 1179417*t**3\/7 - 11326824*t**2\/7 + 1120716*t = 0. Calculate t.\nAnswer: -8071\/5, 0, 3\/4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = 63 + -56. Is (-6 + g)\/(3\/(-6582)*-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 21248 and 18770616?\nAnswer: 600659712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u be (2 - 210) + (1 - -3). Let x = u - -351. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -787 = 4*m - 14147. Suppose 5*c = -3*w + m, w + c = 2*w - 1108. Suppose -w = 7*y - 8*y. What is y rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine b so that -2*b**3\/3 - 40*b**2 + 2*b\/3 + 40 = 0.\nAnswer: -60, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i be 108 - (0\/(1 - -1))\/(-1). Suppose 2*h - z = -2*z + i, -3*z - 40 = -h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 42 = -4*q. Let u be q\/1 - (1 + 1). Suppose 5*x + 3 = -2, -17 = -4*z + x. What is the highest common factor of u and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*t - 3*t + 80 = 0. Let c(b) be the second derivative of 2*b**3\/3 + 5*b**2\/2 + b. Is 7 a factor of c(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -79124.4*-1\nAnswer: 79124.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 398 minutes before 3:17 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -12 take away 6231444371053?\nAnswer: -6231444371065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -535*s**3*v**2 - s**3*v - 3206*s**3 + v**3 wrt v.\nAnswer: -1070*s**3 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -31 - 8039*k + 4004*k + 4014*k as g*k + v and give v.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((b*b*b*b\/(b*b**(-5\/4))*b*b*b)\/b)\/b)\/(b\/b**(-5))*(b\/(b\/((b**(-1\/4)*b)\/b))*b)\/(b\/((b\/b**1)\/b)))**20)**(-42) assuming b is positive.\nAnswer: b**1680","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (-6 - 0) + (9 - 6) - -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2513 is divided by 147.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(sqrt(51) - (sqrt(7344) - -2*sqrt(7344)))\/(sqrt(3) - (sqrt(243) - sqrt(243)*-1)).\nAnswer: 35*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -35\/2 - 100*t**2 - 215\/2*t.\nAnswer: -5*(5*t + 1)*(8*t + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1287 and 891?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7896 is divided by 240?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*p - p**4 + 0*p + (-2*p**2 + 2*p**2 + 2*p**2)*(-8*p**2 + 3*p**2 - 9*p**2) to the form n*p**4 + k*p**3 + r*p**2 + y + o*p and give n.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -663, -688, -709, -720, -715?\n\"Answer: i**3 - 4*i**2 - 20*i - 640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 282 (base 14) in base 11?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y + 52 = -3*j, 3*y + 3*j - 361 + 445 = 0 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/(-4))\/(-36 + (-50807)\/(-1410)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2297, 2351, 2405?\nAnswer: 2459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (120\/(-420))\/(16\/(-7)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -9*v**3 + 2*v**2 + v + 1. Let g(m) = -27*m**3 + 7*m**2 + 4*m + 3. Let i(o) = 2*g(o) - 7*p(o). Calculate i(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -25898073 divided by -9483?\nAnswer: 2731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -5*g**2 + 2 - 7 - 35 - 6 - 9*g. Let w be (-2272)\/144 - 2\/9 - -2. Let k be i(w). Round k to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 600 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (((-24)\/72)\/((-7)\/(-3)))\/((-60)\/(-126))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -180 (base 16) to base 2\nAnswer: -110000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 6*o. Let d be g(0). Suppose d = -8*f - 22 + 86. Solve 2*j = 2*w, -f = -0*w - 2*w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bxhhbhhbxxx. What is prob of sequence bb?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) be the third derivative of 17*h**5\/60 - 23*h**3\/6 - 26*h**2. What is the first derivative of u(r) wrt r?\nAnswer: 34*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lqvpllp. What is prob of sequence llqv?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = 11 - -815. Suppose -22 = -g + h + u, -4*g + 3389 = -5*h. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x**4 + 8*x**3 - 2*x**2 - 32*x - 24 = 0.\nAnswer: -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 - 1) + (-7 - (-5 + 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 591830092 is divided by 1139?\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 2*a. Let t be -1*(0\/(-3) - 172). Suppose -8*d = -6*d - t. Let b(u) = -u - 2*u + d - 86. Calculate x(b(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -6129 divided by 2043?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 5, e: 2}. What is prob of sequence cce?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -4\/5, -35\/89, -302 in decreasing order.\nAnswer: -35\/89, -4\/5, -302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 x when two letters picked without replacement from {x: 4, n: 2, k: 6, l: 6}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 165020 is divided by 23574.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand ((1 - 4 + 1)*(4 - 3 + 1) - 1 + 1 - 1 + 8 + 2 - 2)*(-b - b + b)*((5 - 2 - 2)*(0*b - b + 0*b) + 76*b + 120*b - 69*b).\nAnswer: -378*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1363 - 1242.4. Let h = i + -119.869. Let z = -0.69 + h. Round z to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -951.65171 and -806.\nAnswer: -1757.65171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 11649 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r be -7877 - (-10)\/5*1. Let h = -4582 - r. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8\/(-28) - (-58)\/56?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (44\/(-11))\/((-9)\/(-6)*11\/66).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -47 - -49. Suppose 0 = 2*d + q*d - 156. What are the prime factors of d?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -71*b - 25. Suppose o = 17 + 165. Calculate the remainder when o is divided by r(-1).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 15888?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 = 6*l - 16. Calculate the greatest common factor of l and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-3)\/(27\/60)*-3. Suppose -3*t - 2*q = -95 + w, 2*t - q - 43 = 0. Solve 4*d = -3 + t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -18 less than or equal to -192\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -j**3 + j + 1. Let m(v) = 25*v**3 + 6*v - 21. Let f(u) = -m(u) + 4*n(u). What is the first derivative of f(a) wrt a?\nAnswer: -87*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -3\/2, 13\/31, -4, 0.1, -26?\nAnswer: 13\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(80)*3 + (3 + sqrt(5))*-1 - -3*(sqrt(1620) + -2)) + -4)**2.\nAnswer: -1690*sqrt(5) + 21294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 38585725*g**2*o + 135*g*o - 4001*g - 12*o wrt g?\nAnswer: 77171450*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*z + 3*z - 3*z + z - 4*z + z + (3 + 2 - 4)*(-2*z - 3*z + 4*z) + 5*z + z - 5*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -283154 divided by -141577\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -89? (a) 0 (b) 2\/15 (c) 1\/46 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -18*n + 14*n + 7*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((-2*sqrt(133)*-3)\/(-1*sqrt(847))*1)**2.\nAnswer: 2736\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 127 - 127. Suppose g = -9*i + 660 - 201. Is 20 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -93*u = 2*f - 97*u - 35238, -2*f + 3*u + 35237 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -8*g + 25. What is v(-5)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -36179, -72411, -108643?\n\"Answer: -36232*t + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1.8768 rounded to one dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + 0*c - 18 = 3*h, 0 = -3*c + 5*h + 24. Suppose g = 4*p - 2344, 0 = -3*p - c*g + g + 1758. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w = 2956*y - 2959*y + 25, -2*w = y - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -7*t + t + 6 + 1 - t**3 + 7*t**2. Let y be i(5). Suppose -3*x + 23 = 4*d, d - y = -0*d - 5*x. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u = -8*p - 10, -8*u - 20 = 4*p - 4*u for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -1753 + 1863 = -5*p for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 5383878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -21*f. Let m(p) = 62*p. Give -4*m(a) - 11*w(a).\nAnswer: -17*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.2 or -6.93?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 119 = -4*p + 3*p, -2*p - 26 = -y. Does 39 divide (27 - 33) + y*10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 5? (a) 1\/10 (b) -2\/3 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 16 and 12342?\nAnswer: 98736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 2 + 2)*(-8179*b + 4085*b + 5 + 3976*b) to a + z*b and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 36 - (-15 - -8 - -23)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) be the third derivative of 59*k**4\/6 + 80*k**3\/3 + 9*k**2 - k. What is the derivative of z(w) wrt w?\nAnswer: 236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4 + 4 + 47*n**2 - 13*n**2 as d*n + k*n**2 + y and give k.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find h, given that 3*h**3\/5 + 1830*h**2 + 36561*h\/5 + 27414\/5 = 0.\nAnswer: -3046, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 962 and 195598.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2\/(-7) + (-1270)\/(-35)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (385\/2970)\/((-35)\/630)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + -37288565399?\nAnswer: -37288565394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j = 2*v + 4, 0 = j + 4*j - 5. Let h(q) be the third derivative of v + 0*q**3 + 1\/24*q**4 - 7*q**2 + 0*q. Let b(t) = t. Calculate b(h(s)).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = s - 2. Let u(b) = -5*b + 7. Let j(o) = -4*n(o) - u(o). Let l(k) = 3*k + 6. Let w(m) = -m - 1. Let y(a) = l(a) + 4*w(a). Give j(d) - y(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 120 divide 867607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -71 = 2*c + j + 200, 2*c + 4*j + 256 = 0. Let i = c + 133. Let f(q) = q + 8. What is f(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -9 divided by -67\nAnswer: 9\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 1400712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/9 in -0.33, 2, 18?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3 = 21*u + 2*d + 12, -2257*d + 22 = -u - 2250*d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u - 8 = 23*u - 302 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = w**3 + 16*w**2 + 18*w + 57. What is j(-14)?\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (7*c + 5*c + 0*c + (28*c - 11*c + 10*c)*(-42 + 20 + 9))*(-3*c + 5*c - c) to v*c**2 + g*c + x and give v.\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3.76 + -3.56. Which is the fourth biggest value? (a) -0.01 (b) -4 (c) -5 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 3 + 1)*(-3*d + 6*d - 2*d) - 12*d - 1337 + 1337.\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 18\/234*-13*-9*8\/(-312).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -36, -4, 22, 135, 5 in decreasing order.\nAnswer: 135, 22, 5, 4, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1044)\/2610 - 107\/(-80))\/((-30)\/72).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -s**3 + 6*s**2 - 2*s + 16. Let t be v(7). Is -47 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*m - 116 - 16 = -33 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -9, -30, -49, -66, -81?\n\"Answer: i**2 - 24*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -521 - -626. Calculate the least common multiple of 25 and c.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d*d**22)\/d*d)\/(d\/d**(-17)))\/(d\/((d\/(d\/(d\/((d**(2\/51)*d)\/d))))\/d)*d)**18 assuming d is positive.\nAnswer: d**(-539\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2973*i - 2960*i - 5 + 5930*i + 1 + 4.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ycctctt. Give prob of picking 1 c and 2 t.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*x = -4*k - 21, 2*k - 3*x - 5 + 14 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -i = h - 2, -79 = 4*i + 2*h - 81 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1 + 0. Suppose 3*n - 66 = -j, -r = 2*n + 1. Let p = j - 35. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5\/(230\/46*(-2)\/(-18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -5, 2\/11, -42907, -46?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = a. Let j = 3 + -3. Let f(r) = 1 + 2*r + j*r - 1. Determine v(f(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 44 - 29. Let q = -15.2 + y. Let o = 0.200044 + q. What is o rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g = -0*g + 3*a - 12, -4*g = 4*a + 16. Suppose 3*i - 1 = 2*i - p, 2 = 2*i - 3*p. Let x(j) = i + j - 5 + j**2 + 3. What is x(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.28 - 0.14. Let o = 0.04 - w. Let k(y) = -y**2 + 8*y - 12. Let i be k(7). Which is the closest to o? (a) i (b) 2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2 - 3 + 6)*(-4 + 2 + 4) - 5 + 4 + 0 - 4 - 1 + 3 + (-1 + 4 - 1)*(2 - 1 + 0) - 1 + 2 + 1)*(-y + 4*y - 2*y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + sqrt(7) + 1 - (sqrt(1008)*3 - sqrt(7)).\nAnswer: -34*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2768551 divided by -3.\nAnswer: -2768551\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 13*v**3 - 3*v**2 + v + 5. Let y(t) = -45*t**3 + 10*t**2 - 2*t - 17. What is 10*h(r) + 3*y(r)?\nAnswer: -5*r**3 + 4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 4*n - 2*g, n - g + 14 = 4*n. Suppose -n*h = -6*h + 6. Suppose -4*p + 0*f + f + 6 = 0, 5*f = h*p + 4. Solve 3*s + p*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -23.748 to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f be 15\/(-1)*20\/(-15). Suppose -f = -4*n - 8. Solve -3*s = i + 6, 0*i + n = 2*s + 3*i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 6*v**3 + 16*v**2 - 27*v + 260. What are the prime factors of k(10)?\nAnswer: 2, 3, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b - 4*r = -16, 2*b - 5*r + 7 = -0. Let t be -1*(0 - 103 - 0). Find the third derivative of t*l**b - 103*l**4 + 14*l**6 + 8*l**2 wrt l.\nAnswer: 1680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -29*m**2*u**3 + 38*m**2*u - m*u**3*w - 2*m*u**2*w + 19*m*u - 46*u**3*w + 3*u**2 wrt u.\nAnswer: -174*m**2 - 6*m*w - 276*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 4, y: 1, r: 4, v: 4, p: 7}. What is prob of sequence cy?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-9)\/(-12)*-2 - 7\/(-2). Solve 4*t - 2 = y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q, 2 x, and 1 c when four letters picked without replacement from qxcxqxqx?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((0 + 2 - 3)*(-1 + 0 - 1) + 1 + 0 + 1)*(6 + 1 - 4)*(0*z - z + 0*z) to the form q*z + h and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21*n**2 - 20*n**2 - 124 + 2.\nAnswer: n**2 - 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n*((n\/n**(-2\/7))\/n*n)\/n)\/(n*(n\/n**(-2\/9))\/n*n*n)*n**6*n\/(n**3*n))\/(((n\/n**(1\/10))\/n*n)\/n**(2\/15)*n**(1\/10)*n\/(n*n**(-1\/6))) assuming n is positive.\nAnswer: n**(649\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when ((-927)\/(-206))\/(2\/((-2152)\/(-6))) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 75121 = -4*y, -3*y - 17418 = 4*o - 317824. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 8811173, 17622365, 26433557?\n\"Answer: 8811192*m - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6 - (34 + 12 + -9 - -8)) + 6.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 7072000 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = 7 + -1. Let i(z) = 7*z**3 - 6*z**2 - 8*z - 6. Let w(v) = 8*v - 3. Let s be w(-1). Let x(k) = 13*k**3 - 11*k**2 - 15*k - 11. Determine g*x(h) + s*i(h).\nAnswer: h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1214 and 21734242?\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*d - 11*d = -52. Is 44 a factor of (-21)\/(-4)*(49 - d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2\/6*(3 - -9). Suppose -5*m = -q - 7, -k*m - 5 = -8*m + q. Suppose m*p = -2*u - 8, -4*u + 0*p - p = 7. Put u, 0, -2 in descending order.\nAnswer: 0, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 647 minutes after 2:40 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fzzdpef. Give prob of picking 1 f, 1 p, 1 e, and 1 z.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.09152 plus 11?\nAnswer: 10.90848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 19.87115 centimeters to nanometers.\nAnswer: 198711500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*t - 20 = 6*t. Suppose 4*v - 4 = -t. Do -7\/10 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -h**3 - 10*h**2 + 11*h + 2. Let u be p(-11). Suppose -4*v + 396 = i - 636, u*v = 2*i - 2094. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*d + 10*d - 19 = 0. Let m = 22 + d. Suppose -242 = -5*t + m*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = 6*d - 93. Let w be k(15). Sort w, 3, -29, -4.\nAnswer: -29, -4, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 42 and 40026?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1.9 - 2. Let z = 14239 - 42722\/3. Let a = -13.2 - -13. Sort u, 3, a, z in decreasing order.\nAnswer: 3, u, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1617403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 2*b - 18 = 0, 1 = -84*b + 83*b. Calculate the greatest common divisor of r and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/4 of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, e: 3, y: 13}. What is prob of sequence ce?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -k - 5*n + 5 - 29 = 0, 0 = 4*n + 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put together 25 and 34115.\nAnswer: 34140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -2022 divided by 100\nAnswer: -1011\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.33 - 0.03. Let u = q + -1.3. Let d = 1.0000015 + u. Round d to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1344727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 27 and (-1 + 4)*-1*(-53 - 7)?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -n + 7. Let a(i) = -3*i + 21. Let z(y) = 2*a(y) - 7*h(y). Let j be z(7). Solve -c = -l + 2, -2*l = -j + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (12\/(-10))\/(184\/(-22080)). What is the highest common factor of 6408 and p?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 55\/8850357 and -1\/81?\nAnswer: 26551071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 576 and 4750848.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -11\/202189 and 65\/4137098.\nAnswer: 53782274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 292 minutes after 2:48 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p = -139.5 - -139.6. Which is the nearest to p? (a) 1\/3 (b) 14\/5 (c) -2\/5 (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 5b + -17?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -722.7 rounded to the nearest ten?\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1080580304?\nAnswer: 2, 67536269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4164843?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(14)\/((sqrt(22) - sqrt(88))\/sqrt(11) - sqrt(2)) - (-5*(sqrt(847) + -1 - sqrt(847)) + sqrt(847))**2.\nAnswer: -872 - 221*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 3.3 - 3. Let m = 403 + -279. Let x = m - 124.2. Which is the nearest to -1? (a) 0.5 (b) x (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -58206*c + 3*c**2 + 117184*c - 58978*c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = 133 + -137. Let t(u) be the second derivative of -u + 1\/6*u**3 + u**2 + 0. Calculate t(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 54, 115, 216, 363, 562, 819, 1140, 1531?\nAnswer: 1998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3*j**3*y - 36*j**3 - 2*j**2*y**2 + 5*j*y**2 + 5 wrt y.\nAnswer: 3*j**3 - 4*j**2*y + 10*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1408*d - 1410*d = 3*n - 6, 2*n - 42 = 5*d. Solve -12*a = -18*a - n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -w**3 + 3*w**2 + 5*w - 1. Calculate c(6).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = g**3 + 4*g**2 + 2*g. Calculate the remainder when w(-3) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.1 + 0.8. Let f = i - 0.2. Which is the nearest to 1? (a) f (b) 5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of (-6205)\/2482*5*(-1 - 129)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/(-5)*-1)\/(22\/1155*14)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 158699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide 128 by 2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t = 119389419182 + -119389418749.000001255. Let d = 433 - t. Round d to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -57.9 - -58. What is the smallest value in 2\/15, x, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(128)*2*-3 + -1 - ((2*sqrt(264))\/sqrt(11))\/(sqrt(12) + (sqrt(24)\/sqrt(2) + sqrt(12))*4))**2.\nAnswer: 868*sqrt(2)\/9 + 376793\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -71*f + 152. Let u be q(2). Solve 16*z - 24 = u*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2.746 - -401.254. Let y = -43623 + 44025.33. Let m = a - y. What is m rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 6) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 50356446 is divided by 194?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1376*o**2 - 2*o + 2*o - 174*o**2 + 342*o**2.\nAnswer: -1208*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -9367950 divided by -25950\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 84, 182, 280, 378?\n\"Answer: 98*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1658 - -2470. What are the prime factors of z?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -59\/30 + 7\/15. Suppose 26 = f - 6*q + 2*q, 5*f - 2*q - 76 = 0. Let a be (-2)\/1*2\/f. What is the nearest to a in 1, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h**2 + 3476536*h + 3476532 = 0.\nAnswer: -869133, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 4312\/(-112)*4\/(-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.11752 and -1?\nAnswer: -0.11752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 320 a factor of 5039360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f*f**(-15\/7)*f)**(-2\/125)\/(f**(-31)\/f*f*f*f**26) assuming f is positive.\nAnswer: f**(3488\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -81*c**3 + 10*c**2 - 4. Let m(h) = 243*h**3 - 28*h**2 + 11. Let n(f) = -4*m(f) - 11*v(f). Find the third derivative of n(o) wrt o.\nAnswer: -486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1062 and 932967?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 622949.8 seconds in milliseconds?\nAnswer: 622949800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 95, 13, -69, -151, -233, -315?\n\"Answer: -82*a + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 45 and 261.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z be -2502 + 72\/(-27)*9\/(-6). Let t = -792 - z. List the prime factors of t.\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12 + 12 + 48*o - 49*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 126167833949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4 - 14. Suppose 3*q = 5 + 7. Let s be i\/q*(-16)\/10. Sort -4, 2, s.\nAnswer: -4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = z**3 + z**2 - z - 1. Let b(m) = -6*m**3 + 0*m**2 + 11*m**2 - 1 + 4*m + 12*m**3. Let a(l) = -b(l) + 5*i(l). Determine k so that a(k) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -1, 0.072, 11\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 980773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 0.3589814 years?\nAnswer: 0.0003589814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + 3*sqrt(5) + 4 + 1 + (sqrt(180) + sqrt(45))\/sqrt(9).\nAnswer: 7 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 u and 1 w when three letters picked without replacement from {d: 1, r: 3, w: 7, e: 5, u: 3}?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*n - 4 = 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:07 AM and 11:43 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xvmxmmmmv. What is prob of picking 2 v?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(((sqrt(10)\/(sqrt(6)\/sqrt(3)) - (sqrt(40) + sqrt(360))\/sqrt(8)) + 5*(sqrt(45) + -2))**2 + 2).\nAnswer: -960*sqrt(5) + 3288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 4126 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 886*l + 776 = 1492*l - 994*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 35 - 12*a**2 + a**3 + 4*a**2 - 7*a - 48. Let b be 336\/35 + (-6)\/10. Let y be l(b). Solve -x = 4*o - 9, -3*x + y*x - 3 = -3*o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bmmm when four letters picked without replacement from {b: 4, g: 4, p: 1, m: 3, y: 1, z: 2}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 11 = p - 3*p, -2*p - 31 = -5*k. Is -2 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:39 AM and 10:09 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5.8 - -1.8. Let l be (6\/(-21))\/(2\/2). Which is the closest to -3? (a) l (b) t (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8 - (4 - (-12 + 17)) - -11?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ssyyyyyyswyyyyw.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(-3)*(8 + -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -b - 4*s - 14 - 11 = 0, -9 = 4*b - 4*s + 91 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 579465 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-6)\/9 - (-96)\/9. Let v be 4\/i - ((-27712)\/(-5) - -2). Let w = 55379\/10 + v. What is the common denominator of 4\/11 and w?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1.602 + -1.85. Let u = 2.752 - v. Let s = -2 - -2.3. What is the closest to s in u, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l**5\/7 - 135*l**4\/7 - 6240*l**3\/7 - 61500*l**2\/7 - 15840*l + 25536 = 0. Calculate l.\nAnswer: -14, -4, 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -128, -115, -94, -65, -28, 17, 70?\n\"Answer: 4*c**2 + c - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -o**3 + 6*o**2 + 21*o - 136. Determine m(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: ((-12)\/(-728)*7)\/(((-81)\/12)\/9)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = r**3 - 31*r**2 - 102*r + 166. Calculate o(34).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.09048 and 139.\nAnswer: -12.57672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h be (115\/30 - 4) + 301\/258. Let x = 3 + -3.3. What is the closest to 0.1 in x, h, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 385 minutes before 5:08 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000450909 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 4080\/180 + (5 - 0)\/(6 - 9)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 6228*b + 4612. Does 23 divide i(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 212394 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2.419 and -0.4?\nAnswer: 0.9676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = 8.2 - 8.5. Let f = -8 + 3. Which is the fourth smallest value? (a) 2 (b) h (c) -1 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1 - 0. Let x = c + 2. Does x = 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 144 + -141.8. Let k = m + 2.8. Which is the second biggest value? (a) k (b) 3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-24*z**2 + 46*z**2 - 40*z**2)*(-2 + 2 + z - z**2) to the form t*z**4 + v*z + m*z**3 + k*z**2 + q and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1, 6620, -0.1, -9401?\nAnswer: 6620","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/(j*j*j\/j**(1\/3)))**(-1\/62)*(j\/((j*j\/(j*j**1))\/j*j))**(-40) assuming j is positive.\nAnswer: j**(-7435\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3\/(6\/2)*49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(84) - (-6*(sqrt(84)*-2 + sqrt(84)) - sqrt(84))))\/(sqrt(108)\/(sqrt(9) + (2*sqrt(729) - sqrt(729) - sqrt(729) - sqrt(9)) + sqrt(9))).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1540 + -1537. What is the second smallest value in -10, t, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -f**3 - 3*f**2 + 5*f + 5. Let b be i(-4). Let x be (-1071)\/72 - b\/8. Let m be 4 - 5\/x*3. What is the nearest to 0 in -0.1, m, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-55)\/75 + (-14)\/(-35).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2\/11*l**3 + 12\/11 - 2\/11*l - 8\/11*l**2 = 0. Calculate l.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w and 1 l when three letters picked without replacement from lwwmlillr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 19\/4 of a gram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 98 is divided by 47?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -1, -23, -65, -127, -209?\n\"Answer: -10*f**2 + 8*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 54306*k*o*p**2 + 2*k*o*p - 12*k*o - 7765*k*p + 5*o + 3558*p**2 - 7*p wrt p?\nAnswer: 108612*k*o + 7116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f = 214400 - 304251. Let y be (f\/17528)\/(5\/(-2)). Let l = y + -1\/2191. Calculate the common denominator of 57\/16 and l.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 16 - (20 - 12) - 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**6*a**(-2\/9))**16 assuming a is positive.\nAnswer: a**(832\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*a - 10 = -2*f + 4*a - 0*a + a, -3*f + 6*a - 30 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 3*p - r, -3*p - 2*p = -r - 2. Let i(m) be the third derivative of m**4\/24 - 5*m**3\/6 - 4*m**2. Let b be i(9). Solve -b*w + 7 + 1 = p for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*d**4 - 21055*d**3 + 29547180*d**2 - 13808368080*d - 13837936320.\nAnswer: 5*(d - 1404)**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 5*c + 150 = 0, 5*c = d + 36 + 24. Let a = 95 + d. Is 25 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 220135387 to the nearest integer?\nAnswer: 14837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -5912 times -5\nAnswer: 29560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 270407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = -59 - -59.07. Let l = q + 0.01. Round l to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 719 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -9198*x = -237*x - 1294*x + 475354 for x.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve m = d + 6, -2*d + 5*d + 10 = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = 9*x**2 - 102*x + 7. Let q(v) = 6*v**2 - 68*v + 5. What is -7*q(r) + 5*s(r)?\nAnswer: 3*r**2 - 34*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from {p: 1, x: 4, q: 2, l: 3, k: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-6)\/(-4))\/(-3)*-128. Let p(n) = -3*n**3 + 4*n**2 - 4*n + 11. Let l be p(3). Let q = f + l. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -3*z**3 + 2*z**2 + 3*z - 6. Suppose 296*x = 323*x - 135. Let r(n) = -7*n**3 + 5*n**2 + 7*n - 12. What is x*o(j) - 2*r(j)?\nAnswer: -j**3 + j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g be (3 - 0)\/3*-1. Let o = g - -1. Solve 2*v + 3*h - 21 = o, -2*h = 5*v - h - 20 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (13 - (-99)\/(-27))\/(42\/360)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -33*k**2. Let t = 143 + -156. Let r be t\/(-10)*2 + (-32)\/(-80). Let n(i) = -i**2 + 2*i**2 - r*i**2. Determine n(d(p)).\nAnswer: -2178*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -a**2 + 1. Let c be (68\/306)\/((-1)\/(-9)). Calculate y(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-4)\/(-24)*21 + 1\/(-2). Let l(q) be the first derivative of 0*q**2 - 2\/3*q**d - 3*q**4 + 0*q - 22. Find the third derivative of l(g) wrt g.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = -6*m + 10*m - 10412, -10412 = -4*m + 4*s. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.05 in -1, -3.1, 12, 0, -2\/7, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 28302 divided by -178?\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.216 + 0.016. Put 0.12, 1, j, -0.3 in decreasing order.\nAnswer: 1, 0.12, j, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 15 - 12. Suppose 0 = -h*l + 6*l - 102. Suppose -3*u - l = -4*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9.19 + -52.7004.\nAnswer: -61.8904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1460)\/1314)\/(55\/396).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -177*v - 11. Let p = 116 + -22. Let r = -98 + p. Is o(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -104 - -112. Let u(t) = -t**2 + 9*t - 8. Determine u(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.3 + 0.1. Sort 1\/4, -2\/3, i in decreasing order.\nAnswer: 1\/4, i, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 10512, 21418, 32320, 43218, 54112, 65002, 75888?\n\"Answer: -2*t**2 + 10912*t - 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + (-5 - (-5 + -7)) + 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1295 is divided by 65.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 3 + 7)*(-2*n**2 + 0*n**2 + 0*n**2) + n**2 + 5*n - 4*n - 5*n**2.\nAnswer: -8*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 262.35? (a) -2 (b) -1 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 0.3 (b) 144 (c) 1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -19*l - 7. Let d(r) = 10*r + 4. Let o = -602 - -351. Let p = -244 - o. What is p*d(q) + 4*k(q)?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 90*h - 92*h + 750 + 291 as f + t*h and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = d**3 + 8*d**2 + 3*d - 20. Give k(-8).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1998345 and 8255?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g, 2 f, and 1 u when four letters picked without replacement from {f: 7, u: 2, g: 3}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-2)\/8 + (-257)\/(-4) is divided by 1\/(-2) + (-45)\/(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 59030 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 7378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = 43 - 25. Let c be 12*2*(-12)\/(-4). Calculate the greatest common divisor of o and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7\/14 - (-25)\/2 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -1944.64*8.2\nAnswer: -15946.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + sqrt(52)\/sqrt(4) - (sqrt(468) + 2) - (2*sqrt(1053)*-3 + -4))**2.\nAnswer: 686*sqrt(13) + 31262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 104 = -4*a + 6*a. Let m = 8 + a. Suppose 9*x = 4*x + m. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j**3\/7 - 466*j**2 + 6532*j\/7 = 0. Calculate j.\nAnswer: -1633, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 674*a**3 + 3*a**5 - 1421*a**3 + 12*a**4 + 699*a**3 - 3*a**4 + 36*a**2.\nAnswer: 3*a**2*(a - 2)*(a - 1)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 133\/44124 and -68\/1101.\nAnswer: 16193508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 7 (base 8) to base 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -12 - 1 - (-32 + 23)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1.2 times 509\nAnswer: 610.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 45*i**3 - 23*i**3 - 56*i**3.\nAnswer: -34*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 635.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-86904)\/(-10) - (10\/25 + 0). Suppose r = -4*o - 3326 - 2713, 2*o - 6009 = r. Let y = r + u. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 36\/713 - 51732\/7843. Let p = -1 - 4. What is the fourth smallest value in s, -4, p, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*r**2 - 5*r**2 + 4*r**2)*(-3*r - 515664*r**2 + 515629*r**2 - 17*r).\nAnswer: 105*r**4 + 60*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 297317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = 14*y**2 + 4*y + 5. Let m be w(-1). Solve x = -2*g - 3*x + 20, -5*g = -3*x + m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -271*n - 809. Let w be l(-3). Suppose 3*v = 4*b + 648, -2*v + 6*b + 432 = b. Suppose -5*d + v + 1237 = 3*i, 5*i - 1152 = -w*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 4 (b) 131669 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 1449, 888, 357, -138, -591, -996?\n\"Answer: v**3 + 9*v**2 - 595*v + 2034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + 4)*(-26 + 27 + 0*b - 7*b).\nAnswer: -28*b + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 5, 0.5, 24\/17, 0.6 in decreasing order.\nAnswer: 5, 24\/17, 0.6, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 2, o: 10}. Give prob of sequence oho.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gngn when four letters picked without replacement from {n: 4, g: 6}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = 108 + -28. Calculate the greatest common divisor of 20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 18677270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(117) + sqrt(117)*-2)*-6 - sqrt(117))\/(-4*(sqrt(81) + sqrt(9))))**2 - (sqrt(13) + (sqrt(637)*1)**2 + 1)*4.\nAnswer: -652987\/256 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((c*c\/c**(2\/51))\/(c\/c**19))**(-1\/17))**(-9\/7))**(5\/3) assuming c is positive.\nAnswer: c**(5090\/2023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 11*j**2 + 7*j + 2. Calculate the remainder when s(-3) is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -65\/336 and -101\/280.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -t**3 + 14*t**2 + 12*t + 36. Let s = 3135 + -3120. Determine j(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1092 and 3.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 7 (b) 1\/9 (c) -0.3 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j be 7 - (-2 - -1 - -3). Solve -j*i - 7 = -2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 813 + -829. Sort 4, u, -2.\nAnswer: u, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -59 - -108. What is the highest common factor of o and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 1.01 and -6250128.2511?\nAnswer: 6250129.2611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d be (0\/2 - -7) + -2. Suppose 0 = f - 6*x + 2*x + 1, 2*x + 13 = d*f. Solve 0*y - f*y + 3 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vokl when four letters picked without replacement from kkllolklllvlllvvkl?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((2 + 1 - 1)*(-2*m + 2 - 2) - 2*m + m + 4*m)*(-671*m**2 - 1 + 1 - 516*m**2) to k + t*m**2 + s*m**3 + f*m and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 84287 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*o**2*z**4 + 67*o**2 - 49*o*z**4 with respect to z.\nAnswer: -12*o**2*z**3 - 196*o*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0001177665 to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 717232030?\nAnswer: 2, 5, 71723203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand ((4 - 7 - 6)*(h - h**2 - h) - 2*h**2 - 2*h**2 + 2*h**2)*(-2*h**2 + 6*h**2 - 3*h**2).\nAnswer: 7*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k be (2\/(-2))\/((-2)\/(-2)). Let i be (0 + 54)\/(-2) + k*2. Let o = i + 55. Solve 3*z + 2 - o = -5*r, -2*z + 2*r = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -164*m + 35*m**2 - 161*m + 325*m + 15*m**2.\nAnswer: 50*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 152003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 2 = 2. Let d be ((-6)\/9)\/(-1)*3. Suppose 0 = -3*f - 0*f - 5*y + d, -y = -2*f + 10. What is the smallest common multiple of u and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/(-4)*(-6)\/24*-8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4)\/(-20) + (-192)\/(-15). Let j(i) = -i**3 + 2*i**2 - i + 2. Let u be j(0). Let y(b) = w - u + 5*b - 5 + b**2. Calculate y(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24*j**2 + 1890*j + 6105 - 1887*j - 12214 + 6109.\nAnswer: -24*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 23 > -650889?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -37\/1092 and 13\/86556.\nAnswer: 7876596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is (-21 - (-15 - -2)) + 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = y - 2. Let g = -4 - -6. Let x be r(g). Suppose x*h + 2*h = 62. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((18\/5)\/(196\/(-245)))\/(1\/(-2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 440 + -438. Which is the second smallest value? (a) -1 (b) -0.5 (c) w (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2729, -5481, -8247, -11033, -13845, -16689?\nAnswer: -19571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -1527 (base 13) to base 2.\nAnswer: -110000000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 3*l = 2*l + 50, 5*h = -3*l + 10. Suppose -6 = -2*y, 5*q - 1228 - 102 = -h*y. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -6 - (-9)\/(108\/156)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, 4, -3\/2, -47.\nAnswer: -47, -3\/2, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w be 6\/40 + (-2)\/(-8). Suppose -h = 4*h - 35. Let o be -1*1 - (7 - h). Sort w, o, -4 in decreasing order.\nAnswer: w, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1251758*j**5 - 12*j**2 - 30454?\nAnswer: -75105480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -25609 - -25616. Let u(c) = c**3 - 7*c**2 + 12*c - 83. Calculate u(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 585 and 10998?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - 25 = 0, -2*m - 5*j = 8 - 55. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 26 - 26. Solve -4*j + 5*c + 14 = g, 4*j + 0 = -3*c - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - 112) + (1612 - 1554).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (2 - (-1 + 1)) + (30 - 33)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 51 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1146 = l - 5*b, 3*l - 3*b - 12 - 3390 = 0. Suppose -4*y + 657 = -l. Suppose h + 2*h = y. List the prime factors of h.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.12, -2\/5, -52, -3, -26, -11 in ascending order.\nAnswer: -52, -26, -11, -3, -2\/5, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = g + 2*z - 3, 5 = -g + z + 2. Is g greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 76.6 - 77. What is the second smallest value in 5, 2, s, -3\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 140509 a multiple of 584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*u**3 - 3*u**3 + u**3 + (u**2 + 4*u**2 - 4*u**2)*(-2*u - u + 4*u) - 3*u**3 - u**3 + 2*u**3 + 1324*u**3 - 102621 + 102621.\nAnswer: 1319*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q and 2 n when four letters picked without replacement from qqjjnjn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 4*w + 20. Give g(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*(-60)\/(-45)*(-2)\/(-64).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k - 79*b = -83*b + 796, k + 5*b = 183. What is the highest common divisor of k and 348?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) be the first derivative of 14\/9*i**3 + 4 + 0*i + i**2 - 5\/18*i**4 - 10\/9*i**5. Factor j(n).\nAnswer: -2*n*(n - 1)*(5*n + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) be the third derivative of y**8\/336 - 5*y**4\/12 - 5*y**2. What is the second derivative of r(g) wrt g?\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 312 - -125. Let l = 442 - k. Which is the third smallest value? (a) l (b) 1\/47 (c) -4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2020 + 112221?\nAnswer: 110201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*d - 5*v + 20, 3*d - 4*v = 26011 - 26030 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -4 + 5.08. Let t = -1.080089 + d. What is t rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify g*g**(7\/5)*g*g**4*(g**(-4)\/g)\/(g*(((g\/((g\/g**(-2\/19)*g)\/g)*g)\/g)\/g)\/g) assuming g is positive.\nAnswer: g**(333\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 197 minutes after 2:09 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w - 11 = -z, 2*z + 3*w = 2*w + 22. Let t = 8 - z. Let i be -2 - 3\/t - -6. Solve i*u = 3*u + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) be the second derivative of 7\/2*h**3 + 0*h**2 - 8*h + 0. Let o(c) = c. What is o(y(v))?\nAnswer: 21*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -103\/74502 and -61\/74502.\nAnswer: 74502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 360117 and 2439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1063699.\nAnswer: 7, 13, 11689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4611649 is divided by 410?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 0.4, 8664, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*g + 21*g + g - 5*g.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -27\/52 (b) 0.3 (c) 0.07 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.3 - 0. Let y = -3 + 3.32. Let g = y - v. What is g rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + 7 - (-1 + 27\/6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 divided by 986?\nAnswer: 1\/986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*f**2 + 120635*f + 122232*f - 242867*f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 112130 divided by 22426?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2 + -125?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 36 and ((-6)\/(-6))\/((-1)\/(-44))?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:37 PM and 4:04 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.352691 and -8?\nAnswer: -2.821528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s + 3*w = 0, 2*s + 3*s = -w + 10. Solve s*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*y**3 - 2*y**3 - y**3)*(1 - 18 - 31) - 2*y**3 + y**3 - 2*y**3 - y + y - 2*y**3.\nAnswer: 139*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -1 bigger than -69\/4147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = c**3 + 2*c**2 + 2*c - 1. Let l(f) = 18*f**3 - 9*f**2 - 6*f + 5. Give l(t) + 4*u(t).\nAnswer: 22*t**3 - t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = u**2 - u + 191. Is w(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by 24.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = 368 + -365. Solve r*m - 19 = -0*m - 5*h, 4*h - 24 = 2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, -0.4, -6, -13, 45.\nAnswer: -13, -6, -0.4, -0.3, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 366 = -60*a + 57*a. Let h = a + 115. Let j be h\/(147\/(-15)) - (-2)\/7. Solve -j = 2*c - 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -k**3 + 5*k**2 + 7*k - 1. Let f be t(6). Suppose -2*x = -10, -m + f = m - x. Let g = m + -2. Solve -g + 4 = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(99)\/(sqrt(3) + sqrt(3) + sqrt(363)*-3)*-2)\/((-2*(sqrt(120)\/sqrt(4) + sqrt(30)))\/(sqrt(10) + sqrt(360)*3)).\nAnswer: -19*sqrt(11)\/62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3638*n**2 + 1821*n**2 + 1819*n**2 - 1140 to j*n**2 + v + x*n and give v.\nAnswer: -1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*v - 2*f - 46255 = -46197, -470*v = -4*f - 1072 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 19.44 - 0.44. Let t = 18.7 - x. What is the smallest value in 0.4, t, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 121410 divided by -6\nAnswer: -20235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 6*a = 12. Let z(p) be the second derivative of p**4\/12 - p**3\/6 - 86*p**2 - 220*p. Let y(b) be the first derivative of z(b). Give y(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3289b4 + 5?\nAnswer: -3289ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 8 or -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 5, e: 2, q: 2}. Give prob of picking 2 h and 1 e.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5104 is divided by 635.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 945*i**2 - 444*i**3 + 57*i**3 - 249*i**2 wrt i?\nAnswer: -2322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 75 - 150 = -15*n. Suppose -r + 4*r - 27 = -q, -r - 2*q + 14 = 0. Calculate the lowest common multiple of n and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*a - 3*u + 7 + 23, 0 = 4*u - 4. Solve 3 = -4*t - a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.15 - 2157101260.\nAnswer: -2157101259.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Let v = 46 + -66. Let r = 32 + v. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:12 PM and 8:52 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 245, 645, 1203, 1919?\nAnswer: 2793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 1365*k**4 - 7*k**3 + 1036*k. Let t(i) = 683*i**4 - 4*i**3 + 518*i. Let a(b) = -7*t(b) + 4*z(b). Find the second derivative of a(j) wrt j.\nAnswer: 8148*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 46302 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: Let y(k) be the third derivative of -k**6\/720 - 3*k**4\/4 - 14*k**2. Let r(a) be the second derivative of y(a). Let v(d) = -5*d**2. Calculate r(v(x)).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mnnonnnyfoyunnm. What is prob of picking 1 n and 1 f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -122373 (base 8) in base 10?\nAnswer: -42235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -19557 + 19569. Solve -25*g + a = -21*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.113 * -469\nAnswer: 52.997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v be (46\/(-4))\/(-2*1\/4). Suppose 0 = x + v - 142. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 16 - 18. Sort 5, y, -5\/3.\nAnswer: y, -5\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 187*h + 16892 = 80*h - 225*h - 80*h for h.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:51 PM and 12:10 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -o**2 + 7*o - 3. Let t be m(6). Suppose -5*w + t*w + 971 = s, 5*s = 4*w + 4855. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -w**3 + 16*w**2 - 26*w + 19. What is the tens digit of m(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 384112 and 380?\nAnswer: 36490640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 988 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 449779 or 449778?\nAnswer: 449779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24073563.\nAnswer: 3, 8024521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1 - 0. Let q = -3 + j. Let a(f) = f**2 + 4*f + 4. Let t be a(-3). What is the second biggest value in q, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -123 (b) 20 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 40 = 3*t, -5*t + 3*q + 10 = -0*t. Suppose w - 3*b + t*b + 8 = 0, 4*w - 12 = 3*b. Suppose w = -5*a - 392 + 3097. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 42780*m. Let j(z) = -3484*z**2. Calculate j(o(f)).\nAnswer: -6376167345600*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*j + 5*i, 1704*j - 1699*j + 9 + 24 = 2*i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 150122\/57 + -2634. Let c = f + -1\/19. Let t = 5 + -6. What is the closest to t in c, -0.1, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 401 minutes before 5:06 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - (-1 - (17 - 13))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1 - -2. Let c be -10*(g\/(-2))\/3. What is the second derivative of -3*r - 4*r + 12*r**c - 4*r**5 wrt r?\nAnswer: 160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3713 + -5.21?\nAnswer: -3718.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) be the first derivative of -r**2\/2 + 3977. Let d(p) = p**2 - 3*p. Determine -2*d(o) + 6*x(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6022454.\nAnswer: 2, 17, 177131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1967.39 + 1966.39. Let o = 3.4 + -0.4. Which is the closest to -1? (a) -11\/2 (b) o (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 25*p + 27*p + 22*p - 18 - 75*p.\nAnswer: -p - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (-11 + -3 - (0 + 9)) + (9 - 1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*x + 2*x - 4*p = -4, 0 = p. Is x less than 4\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) be the third derivative of -m**7\/2520 - m**6\/72 - m**5\/12 + 2*m**4\/3 + 2*m**2. Let y(h) be the second derivative of t(h). Determine y(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 29, -12, -133, -376, -783, -1396, -2257?\nAnswer: -3408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 643, 710, 831, 1012, 1259, 1578?\nAnswer: 1975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let 2*q**2\/3 - 3712*q + 4849704 = 0. Calculate q.\nAnswer: 2094, 3474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = q - 3. Suppose 0 = -v + 11*s - 16*s - 23, -3*v - 4 = 2*s. Let r(n) = n. What is v*r(o) - t(o)?\nAnswer: o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 246233033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 657900 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -d - 1. Let b(i) = 6*i + 7. Let j(s) = -s - 1. Let a(t) = b(t) + 5*j(t). Give -4*a(v) - 3*c(v).\nAnswer: -v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 341*q - 11. Let g(a) = -a - 2. Calculate -5*g(y) + x(y).\nAnswer: 346*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -j**2 - 10*j - 10. Let r be (-32)\/(-6) + (-2)\/(-3). Let x be 13\/r - (-4)\/(-24). Suppose -x*z + z = 8. What is k(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9.824475 rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = n**3 + 3*n**2 - 768*n - 749. What is h(27)?\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 144 and 4152?\nAnswer: 24912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -44.55043 to two decimal places.\nAnswer: -44.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 13154.71015 - 13184.71. Let n = 38 - 8. Let g = n + s. Round g to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -64*u - 17*u. Suppose 3*l + 0*d + 2*d = -8, 3*d = -3*l - 12. Solve u = -l*j - 4*j + 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -88*k**3*w - 266435*k**3 + 2*k**2*w - 9*k*w + 6*w wrt w.\nAnswer: -88*k**3 + 2*k**2 - 9*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t\/(t*t\/t**3*t))\/t**26*t**(-29)*(t\/((t*t\/(t**2*t))\/t))\/t)**15 assuming t is positive.\nAnswer: t**(-780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -2434.23 times 0.4\nAnswer: -973.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 565 a factor of 16821988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(144) - -2*sqrt(144))\/sqrt(12))\/sqrt(6).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (5\/(-5)*2)\/(6\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*y + 19*y + 480 = 0. Suppose -6*x + 2*x + 144 = -4*h, 0 = -2*x - 4*h + y. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -14, 0, -7, -26, -5 in increasing order.\nAnswer: -26, -14, -7, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - k = -793, -3*k + 6*k = -4*d + 641. Let q be -3*(3 + d\/(-6)). Calculate the highest common divisor of 28 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/((-120)\/12*-2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 703925496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1052884479?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -490 = 14*y + 75*y + 9*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 1836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -6? (a) -3\/26 (b) -1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-2 + (((sqrt(99) - sqrt(99)*1 - sqrt(99))\/sqrt(3) + sqrt(33))\/(-5*-2*sqrt(11)) + 2)**2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, -6\/403, -2 in decreasing order.\nAnswer: -6\/403, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 13676495 and 18616?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + ((-8853)\/(-5902))\/(3*10\/(-8)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 27*r + 3. Let h(v) = 0 - 2 + r - 434*v**2 + 433*v**2. Calculate h(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 128*((-36)\/(-14))\/((-15)\/70). Suppose 3*s + 338 - 362 = 0. Calculate the remainder when 0 - h\/20 - (-1)\/5 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 90\/43 in 3, -214\/25, 77?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 60640 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 123 = 4*g, -f + 246 = 5*f + 4*g. What is the greatest common divisor of f and 24559?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -799\/36 + 211\/9. Let l = -2 - -9. Let t = l - 6.7. Which is the second biggest value? (a) t (b) 1\/4 (c) j (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + (-3 - 0) - (-4 + -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 21155 minus 7?\nAnswer: 21148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -1485.85 rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-32)\/192 + (11 + -2 - 8\/168*181)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 4*i**3 - 3*i**2 - 76*i + 39. Calculate w(7).\nAnswer: 732","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2 - -8. Let u be (-11 + (5 - -3))*(-19)\/3. Suppose u = -6*b + 127. Solve s = j + 1, -4*j = -m - b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:09 PM and 4:02 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 3596508000 to the nearest one million.\nAnswer: 3597000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l - z = 4*z - 56, 5*z = 12*l - 26 + 110 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 0 + 782?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -10, 147, -4, -5\/4, -5\/7?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (c**2 - 4*c + 4*c)*(2 - 4*c - 2) + 4*c**3 - 3*c**3 + 5*c**3 + (0*c**3 + 4*c**3 - 2*c**3)*(-3 + 2 + 0) - 2*c**3 + c**2 - c**2 + 4*c**3 + 5*c**2 - 5*c**2.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) be the first derivative of -r**2\/2 - 1. Let f(j) = -12*j**2 + 30*j**2 - 7*j**2 - 10*j**2. Calculate f(i(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o be 4440\/(-2)*(-10850000)\/(-186). Round o to the nearest one million.\nAnswer: -130000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/5 in 5, 3, 0.5, -5\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2 + sqrt(242) + 2*sqrt(242)*3 + sqrt(242))*-6)**2 + 2.\nAnswer: -12672*sqrt(2) + 557714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2 (b) -2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 32313952789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h be (8\/20)\/((-1)\/5*2). Is 8\/17 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -26*z + 31 = -j - 30*z, -11*j - 5 = -4*z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 3, b: 2, x: 4, e: 1}. What is prob of sequence eb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) be the third derivative of f**8\/70560 - f**7\/4410 + 17*f**5\/60 + 19*f**2. Let o(t) be the third derivative of g(t). Factor o(k).\nAnswer: 2*k*(k - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -184911428, -369822854, -554734280, -739645706, -924557132, -1109468558?\nAnswer: -1294379984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 11*p**3 - 4*p**2 - 3*p. Calculate l(-2).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 4 + 1401351524?\nAnswer: 1401351532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-3 - -1)\/((-2)\/3). Let g(i) = i + 23. Let z be g(l). What is the highest common divisor of z and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when -1 - (0 - 1)\/(5\/30) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 4719.475 meters?\nAnswer: 4.719475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 32087.\nAnswer: 11, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (-4 + 6 - 1)*(-8 + 6 + 2*i - 3) as d*i + f and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = 149*j**2. Let p(a) = -21*a**2. Give p(c(t)).\nAnswer: -466221*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 33153 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -59\/40 and 105\/5408.\nAnswer: 27040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 680540?\nAnswer: 2, 5, 7, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6 - 29*p**3 - 44*p**3 - 7.\nAnswer: -73*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*w + 4*y + 2460, -1401 - 444 = 3*w - 4*y. Let m be (0 - 3)*(-1405)\/3. Let f = w + m. What is f rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 591 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) be the first derivative of 97*b - 3\/2*b**2 + 22 + 0*b**3 + 11\/4*b**4. Differentiate f(u) with respect to u.\nAnswer: 33*u**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 92 - (-7 + 8)*2. Let o be (-2)\/5 + (-231)\/(-15). What is the highest common divisor of f and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 144360975*f*j**3*z + 250*f*j**2*z + 11*f*j**2 + 2156*f*z + 4*j**3 - j**2 wrt j?\nAnswer: 866165850*f*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -918000 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:26 AM and 6:09 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = r**2 + r - 2. Let o(t) = 96*t**2 - 16*t + 32. Give 16*f(a) + o(a).\nAnswer: 112*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.11 from -199.\nAnswer: -198.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + 6*(-2*sqrt(700) - sqrt(700))**2*-6 + (-5 + sqrt(700)*1)*-2 + -4.\nAnswer: -226791 - 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b be -33 + 0 - (-2 + 1). Let i = 28 + b. Let j(u) = u**2 + 4*u - 3. Calculate j(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-339)\/(-57))\/(-285 + 283) + 3\/1.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 178 + -173. Let a be (-4)\/(-15)*3*10. Suppose 1185 = -q*t + a*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -6496 - -16799. Let n = 91319 - l. Suppose 5*v - n = 13984. What is v rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y and 1 t when three letters picked without replacement from {t: 1, y: 2, w: 1, m: 2, l: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i be 21\/4 + 1\/(-4). Suppose 0*l = -i*l. Suppose 5*f - 27 + 7 = l. What is the nearest to 0.1 in f, 0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*j + 10*j - 4 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -3*k**2. Let o(y) be the second derivative of 17*y**3\/6 + 16*y. Give o(z(c)).\nAnswer: -51*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 6538037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:23 AM and 4:32 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 + -2 - 13 - 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 44 minutes after 4:13 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 3*b = -j - 12, 5*b = 4*j - 29. Let l = -3 + 3. Let s = 1 + l. What is the remainder when s is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (3 - -1) + -2 - (-77)\/1. Let d = 64 + j. Calculate the highest common divisor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (2058\/24 + -6)*(-3804)\/3. Let c = 2088877 - k. What is c rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*l - 831 + 839 + 4*l)*(-2*l**3 + l**3 - 3*l**3).\nAnswer: -8*l**4 - 32*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + 4*i = 0, 3*k - i + 12 = 7*k. Solve 0 = 3*q + o + 7 + 4, -2*o = -k*q - 28 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -141 + 703\/5. Let c = -0.23 + -0.07. Let h = c + 0.4. Is j not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**(-1\/4)\/((k**(-2)*k)\/k))\/(k**(-1\/6)\/(k*(k**(1\/2)*k*k)\/k)))**(-6\/7) assuming k is positive.\nAnswer: k**(-53\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 85\/(-4) + -3 - (2 + (-1829)\/(-124) - 15).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out -2 * 2205.\nAnswer: -4410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*b - 128 = 5*b. Calculate the greatest common divisor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l - y = -2644, -4*l = -5*l - 2*y + 2644. Let c = l - 36905\/14. Let s = -2929\/12 - -778\/3. Calculate the common denominator of c and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqehqhqeqehhlhlqqqh. What is prob of sequence ql?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*r**3 - 6108842 + 12217258 - 6108416.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -44, -435, -1078, -1967, -3096, -4459, -6050?\nAnswer: -7863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be 28\/21*(-6)\/4. Let t be (-1085)\/930 - (-5)\/2. What is the smallest value in f, -0.024, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = g**2 - 50*g + 98. Let q be c(45). Let m be (-7 + 4 - -2) + -1. Put m, 2, -4, q in descending order.\nAnswer: 2, m, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 429671212?\nAnswer: 2, 53, 2026751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qzq. Give prob of sequence qzq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.3 + 1631.994.\nAnswer: 1632.294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) be the third derivative of -c**6\/72 - 3*c**3\/2 + 4*c**2. Let m(r) be the first derivative of i(r). Let t(s) = s**2. Determine m(t(o)).\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 184330 and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 996445467 to the nearest integer?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 4*w + 22 = 0, x - w + 1 = -2*x. Let q(j) be the second derivative of j**3\/3 + j**2\/2 + j. Let b be q(-3). Put b, x, 1 in descending order.\nAnswer: 1, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 583 minutes after 5:01 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 17*y - 35 = 22*y, -41 = 3*t - 4*y. Let z(f) = f**2 + 20*f + 13. Give z(t).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.0365 - -3.9635. Let l = -6 + 8. Let x(v) = -v**2 + 4*v - 4. Let i be x(4). Which is the smallest value? (a) k (b) i (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = z. Let n(m) = -30298*m**2 + 641*m. Determine n(w(x)).\nAnswer: -30298*x**2 + 641*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(396)*-1)\/(sqrt(400) + sqrt(400) + -3*sqrt(400) - sqrt(4)))**2.\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 59987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00523 rounded to 4 dps?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -10*d**2 - 2 + 11*d**2 + 2. Let n(k) = -5629*k - 26*k**2 + 5629*k. Calculate n(p(h)).\nAnswer: -26*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -7*p + 5*p - 12, -5*t - 10*p + 47 + 1 = 88 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*c**2\/11 + 364*c\/11 - 15984\/11.\nAnswer: -2*(c - 108)*(c - 74)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 4 + 5)*(8*g - 17*g**3 - 8*g)*(0*g + 1 - g - 2) in the form p*g + h + d*g**4 + f*g**3 + a*g**2 and give f.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = 757 + -787. What is the hundreds digit of -6*458*5\/y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -169646364957 + 169646279695.930927. Let b = y - -85261. Let u = b - -0.069. What is u rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4557*h**2 - 2445*h**2 - 2111*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 9199*m + 1061. Is f(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -23 + 11 + 16 + (28 - -2) + -1.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000641 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -0.04483 to three decimal places.\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = -19.8 - -20. Put 0, b, -9 in increasing order.\nAnswer: -9, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 237 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6 + -11. What is the nearest to 2 in 0.2, -2\/17, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 0.4, -1\/4, -3\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Subtract 1.97 from 4.\nAnswer: 2.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is u in 4*u**3\/7 + 4*u**2 + 64*u\/7 + 48\/7 = 0?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*d + 25 = -12*d. Sort 1, 4, d in ascending order.\nAnswer: d, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 4 (b) -0.19 (c) 284\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose i = -2*i - 12. Let o be (-12)\/(-18) + i\/6. Suppose -2*l = -3*h - 41, -3*l + o*h + 53 = 4*h. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 763*z**2 + 107 - 107 - 323*z**2.\nAnswer: 440*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w\/(w\/(w*w**17*w))*w*(w*w*w\/w**(-20)*w)\/w)\/(w**32\/(w\/(w\/(w*w\/w**(8\/3)*w*w*w)))))**(-7\/6) assuming w is positive.\nAnswer: w**(-140\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 110 minutes before 8:33 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 43*m = 113 + 145 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*a = 371 - 24 + 129 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 2*m = -1325, 95 + 3898 = 3*v + 3*m. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 250 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -501 + 499 - 221*s + 412*s - 205*s.\nAnswer: -14*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 264 minutes after 8:44 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -3946*x - 539850 = -493*x + 972*x for x.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i be 4*78\/48 - (-3)\/(-6). Suppose d - 10 = -k, -5*k - 1 = -i. What is the highest common factor of 117 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 158862*h + 635342. Determine f(-4).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 2*l**3 - 11*l**2 - 10*l + 28. Calculate the least common multiple of ((-8)\/(-10))\/(6\/15) and w(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(60) - (sqrt(60) - (sqrt(3840) - sqrt(3840)*2)))\/(-1*(sqrt(12) - sqrt(48))) + -2*(sqrt(500)*4)**2)*-2.\nAnswer: 16*sqrt(5) + 32000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -3067697, -3067696, -3067693, -3067688?\n\"Answer: f**2 - 2*f - 3067696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -342288194, -342288192, -342288190, -342288188, -342288186, -342288184?\n\"Answer: 2*a - 342288196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-21*4\/6)\/(-2). Let m(s) = 2*s**3 + 79*s**2 + 43*s + 160. Let v be m(-39). Solve v*g = -g + z + x, g - 5*z + 13 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 18\/5 - 6\/(-15). Let v be (6\/4)\/(3\/6). Solve 4*d - 3 = -5*i, k*i + v*d = -2*d + 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 7*p**2 - 4 - 17*p**2 - p + 11*p**2. Let g be h(3). Suppose n - 9 = -4*j, 0 = 4*j + 2*n - g - 8. Put 5, -2, j in increasing order.\nAnswer: -2, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {h: 2, k: 8, o: 2, a: 2, d: 5}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 1230\/90 - 209\/57 - 5\/((-15)\/(-228))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Do 0.65 and 15065\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 90 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 39*v**2 - 148*v + 8. What is the hundreds digit of s(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 728 + -360. Suppose 5*v - t = b, -b - 141 - 81 = -3*v. Suppose -23 - v = -4*p. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.01 - 0. Let o = -1.99 + m. Which is the second smallest value? (a) o (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 104 + -40. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 406*f - 413*f = -21. Let c(u) be the second derivative of -3*u**2 + 0*u**f + 0 + 13\/12*u**4 + 6*u. What is the first derivative of c(n) wrt n?\nAnswer: 26*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2917*u - 3572*u - 3752 = 4763 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -9 in -4, -5, 2, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -7*r**4 - r**3 + r**2 - 3. Let g(s) = -607*s**4 - 6*s**3 + 6*s**2 - 2697*s - 18. Let t(c) = -g(c) + 6*l(c). Find the second derivative of t(w) wrt w.\nAnswer: 6780*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*c**3*k**2*s**3 + 3*c**3*k**2*s**2 - 59*c**3*k**2 - 1485*c**2*k**2*s**3 + 2*c**2*k*s**2 + 2*c**2*s**2 + c*k*s wrt s?\nAnswer: -12*c**3*k**2 - 8910*c**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*g - 2*i + i + 17, g + 1 = 3*i. Let l = 7 - g. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5143?\nAnswer: 37, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 12 and 333143.\nAnswer: 3997716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 33\/4*(-35)\/(-1260)*-24.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 4427119, 8854285, 13281451, 17708617, 22135783, 26562949?\n\"Answer: 4427166*y - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.4 - -0.4. Let h = 211 - 216. What is the third smallest value in h, c, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1140*l**3 + 166*l**3 - 117*l**2 + 175*l**2.\nAnswer: -974*l**3 + 58*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 438, 489, 546, 609, 678, 753?\n\"Answer: 3*h**2 + 42*h + 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {l: 1, z: 1, k: 1, n: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h be -1 + 16 + 82 + -94. Factor 11\/5*d**2 + 1\/5 + 7\/5*d + d**h.\nAnswer: (d + 1)**2*(5*d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + sqrt(19) - sqrt(19))*2 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 2, d: 2, c: 1, n: 1, j: 1, y: 2}. What is prob of sequence nj?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of c**3*q**2*v**2 + 1639*c**3*q + 2*c**3*v - 2*c*q**2 + 14*v**2 wrt v.\nAnswer: 2*c**3*q**2*v + 2*c**3 + 28*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2*(-8)\/(-54)*45\/60. Which is the third smallest value? (a) 3\/76 (b) i (c) 4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1748327?\nAnswer: 7, 379, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 26*b - 19522 + 125394. Which is smaller: b or -4071?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1.875 - -2.085. What is the closest to -1 in -1\/9, 1\/4, 3\/7, x?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 111 + 114?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*g + 2*g + 12 = 0. Let l(j) = j**3 - 2*j**2 - j - 3. Let h be l(g). Find the second derivative of u**3 + 2*u + 2*u**h - 3*u wrt u.\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -34*p**2 - 30*p**2 - 4*p**2 - 78*p**3 + 1 + 0 wrt p?\nAnswer: -468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is n in -2*n**3\/7 + 2284*n**2\/7 + 23874*n = 0?\nAnswer: -69, 0, 1211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.06? (a) -44.25 (b) -4 (c) -0.2 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 243036 divided by -1884?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -82181.207 to the nearest 10.\nAnswer: -82180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide -3332 by 98.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -1985.3 times 0.3\nAnswer: -595.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4 + 14. Let d(s) = -s**3 + 9*s**2 + 9*s + 10. Let z be d(o). Solve z = 3*b + 12, 5*l = -b - 3 - 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from suuuuuussusuuu. What is prob of picking 1 u and 2 s?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 12 and 304?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide -3977203 by -9.\nAnswer: 3977203\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(76)\/sqrt(4)*5)**2 - (0 + sqrt(1900))) + (4 + -2*sqrt(76)\/sqrt(4))**2.\nAnswer: -26*sqrt(19) + 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (48\/(-160)*(-25)\/20)\/((-1)\/(-24))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 98*m + 66*m - 193*m = -1682. Calculate the remainder when m is divided by (2 + 1)\/(2\/10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m - 4*x + 9*x = -157020, -3*m - 94187 = -2*x. Let z = m + -601. Round z to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2924*u + 2630*u + 2843*u - 746*u.\nAnswer: 7651*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -w**3 + 59*w**2 + 382*w + 22. Determine l(-6).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -8664596\/235 - -36871. Let t = v + 1\/47. Sort -4, 0.08, t in increasing order.\nAnswer: -4, 0.08, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r = -4 + 22. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -34 + 47 + 1 + (5 - 8 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:51 PM and 5:42 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 986*s**2 + 42*s - 2436*s**2 + 1177*s**2 - 42*s.\nAnswer: -273*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - -5 - (82 + -89)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = -p + 4*p - 222, -296 = -4*p + 4*v. Suppose 19 = 3*k + j + 4*j, k + 7 = 5*j. Suppose -85 = -k*b + p. What is the remainder when b is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -1813 by -324.\nAnswer: 1813\/324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/(-3)*2*2\/(-14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 12*x**3 - 16*x**2 - 9. Suppose 4*t - 2 = c - 0*c, 5 = 5*t. Let u(y) = 3*y**3 - 4*y**2 - 2. Give c*m(w) - 9*u(w).\nAnswer: -3*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -h + 5. Let t be k(5). Suppose t = 5*n - 0*n. Suppose -3*a = 4*s - 145, n = -a - s + 58 - 8. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 0.5328441ms?\nAnswer: 0.0005328441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 13, c: 3}. What is prob of sequence ccff?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-12)\/8)\/(3\/(-18)). Suppose -b = -q + z + z, 0 = -2*q + z + 3. Suppose -2*p + 7 = 1. Put p, q, -5 in descending order.\nAnswer: p, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of -1 + 6\/7 + (-77472)\/(-168)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -63 and 10.\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 20328 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 114? (a) -814 (b) -0.5 (c) -3 (d) -5 (e) 1.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s - 4 + 0 = 0, 4*x + 2*s + 12 = 0. Let n be x + 2 - (-2)\/10. Let z be 4\/56*(1*4)\/(-2). What is the biggest value in z, -1\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -85*i - 7 + 12 - 34 - 21.\nAnswer: -85*i - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = 13382\/3 + -7841861\/1758. Let z = 6383\/12306 - b. Let u = -6\/7 + z. What is the second biggest value in 0, -2\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 22954 and 414.\nAnswer: 206586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*h + 159*h**3 - 4*h + 249*h**3 + 3*h - 181*h**3.\nAnswer: 227*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1347653 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -2460207 (base 8) to base 16.\nAnswer: -a6087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -11396 + 17648. Suppose -7*x + b = -9*x. Let u = x + 946. Round u to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -6*g - 8. Let j(s) = s + 1. Let i(l) = -d(l) - 10*j(l). Let b be (-4)\/(-7) - ((-180)\/(-14))\/5. Calculate i(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -188 or -1326\/7?\nAnswer: -1326\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.133785 and 2891?\nAnswer: -386.772435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -24 + (9 + -7 - -7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -2*o + 1. Let q(m) = -5*m + 2. Let j(s) be the first derivative of 3*s**2\/2 + 33*s - 26. Let h be j(-14). Calculate h*f(n) + 4*q(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-47)\/(-329))\/((-9)\/21))\/(22\/3762)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -2*d**2 - 57*d + 9. Let i(b) = -14*b + 2. Suppose -36 = 20*x - 2*x. Let h(f) = x*l(f) + 9*i(f). Factor h(n).\nAnswer: 4*n*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from cizztcazqati. What is prob of sequence czai?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g be -3*(2\/(-9) + 4\/(-36)). Sort -1, g, 4 in increasing order.\nAnswer: -1, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w*w**(2\/21)\/w*w*w)\/w)\/w)\/(w\/w**(-1\/9))*((w\/w**(2\/3))\/w*w)**(1\/15) assuming w is positive.\nAnswer: w**(-313\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 54\/5 of a centimeter?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 3\/(-3)*((-2820)\/(-36))\/(85\/51)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 542241?\nAnswer: 3, 7, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = -4 - -2. Let c = 0 - r. Let s = 549\/4 + -138. Put 2\/11, s, c in ascending order.\nAnswer: s, 2\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = j**3 - 2*j**2 + 12*j - 2. Let q be c(4). Suppose -q*l + 90*l - 8796 = 0. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 5365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 50923 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = -35452 - -35452.2. What is the closest to h in 2\/5, -18, -1\/2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 7.8 - 7.6. Put -2, j, 3\/4 in descending order.\nAnswer: 3\/4, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3611231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*u - 276 - 74. Let g = u + 179. Solve -g*d = 4 + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -302*x - 3. Calculate p(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*m + 364 = -16*m. Suppose 28 = a - 23. Let f = a + m. Is 4\/33 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = a**3 + 14*a**2 + 7*a + 91. Give w(-13).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -k + 4*h = 12, 4*h = 5*k - 8*k + 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 235 and 992255.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 43752*o**3 - 1492*o**3 + 120209*o**3.\nAnswer: 162469*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 286 minutes after 7:15 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s - s = 0. Let t(i) = i + 16. Let c be t(-14). Let z be 8\/(c*-2)*-3. Solve s = -4*g + 6*g + z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 31709\/332 - 3\/332. What is the third smallest value in 2\/3, -1\/4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-1)\/(-2))\/(6\/(-12)). Let i be 0 + (-23)\/(-9) - 3. Which is bigger: n or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 21*s + 132 - 27 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10 - (-12 - (6 + -20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 7, v: 1, q: 1}. What is prob of sequence dd?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 7*o**2 + 2*o - 29. Give v(-7).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -21 divided by 18.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j + 3 = 66. Calculate the smallest common multiple of 4 and 60\/j*(-14)\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 179954460 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2\/17 + (-90)\/(-102). Put c, 3, 23, 2 in descending order.\nAnswer: 23, 3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 6*r**2 + 3*r + 2. Let y = -91 - -88. Let p(a) = -5*a**2 - 2*a - 2. Give y*p(h) - 2*j(h).\nAnswer: 3*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*x + 12, 5*x - 397 = -3*y - 429. Let t(m) = -m**2 - 6*m + 3. Let u be -2 - ((-1)\/(-1) - 2). Let d(n) = n. Calculate u*t(s) + y*d(s).\nAnswer: s**2 + 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -950, -3438, -7580, -13376, -20826, -29930?\nAnswer: -40688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 1 - 1)*(2*t + 43 - 58 - 26) to the form s*t + w and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-144 - -64) + (116 - -9).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 5.01, -1, 2\/7, -62?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 18582797 to the power of 1\/3, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.132 + -1.722. Let m = b - 0.106. Round m to one dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -3*n - 3. Determine g(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -38*t**2 - 11. Let p(n) = -19*n**2 + 6*n - 4. Let b(q) = q**2 - q. Let o(f) = 6*b(f) + p(f). Let z be -11*4\/(-8)*-4*(-1)\/2. What is z*o(h) - 4*a(h)?\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - i = 2*d + 238, 4*d + 4*i + 464 = 0. Let x = 194 + d. Let s = -41 + x. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (5 + -5)*29\/(-58). Let o = -103798\/11 - -9352. Let r = o + 84. Which is the second biggest value? (a) d (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = 3*n - 1. Let l(i) = i**2 - 9*i + 14. Let k be l(7). Suppose 3*t = t - 5*s - 3, k = -5*t - 4*s + 1. Let v be r(t). Solve v = -2*w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (45\/(-35))\/(-9) + 86854\/14.\nAnswer: 2, 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 - (2 - 2)) + 1 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 289 = -10*t + 85*t + 64 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -72.70132077 + 72.701. What is l rounded to 5 decimal places?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12 + -3 + -5 + (10 - (-2 + 0)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3df663 (base 16) in base 5?\nAnswer: 2014421041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2435150849.359 - -2435118273.30400066. Let a = w + 32575.665. Let y = a - -0.39. Round y to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2*k - k + 0*k)*(-1 - 4 + 3) + 0*k - k - k + 3*k - 1 + 1)*(-7*k**2 + 2*k**2 + 3*k**2).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k be (2\/1)\/(-7 + 5). Let h = k - -20. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -6342, 2, -5, 0, 9, -4 in ascending order.\nAnswer: -6342, -5, -4, 0, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = 10 + -6. Let n be (-4)\/8*-1*p. Solve -6*r = -r + n*l - 20, -r + 4 = -3*l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -711 + 1865. Is b a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 904261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k be 0\/((-12)\/(-2)) - 98\/2. Let c = -55 - k. Let j = 11 + c. Solve -3*p - 2 + j = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -221234*o**3 + 1122154*o wrt o.\nAnswer: -1327404*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = -m - 24. Let s(y) = 95*y**2 + 2*y - 1. Is 8 a factor of s(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-1244)\/(1 + 1))\/2. Let i = -100 - d. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + 2 - 291*m - 1 to the form x + z*m and give z.\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = k**2 + 3*k - 126. Let m be s(-13). Solve 4*d - m*h + 22 + 6 = 0, 2*h = 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3788*v - 2*v**2 - 1246529 + 1246529 in the form s*v + z*v**2 + m and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let -3\/8*v**2 + 3\/8*v + 3\/4 = 0. Calculate v.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -25, 1, -280 in decreasing order.\nAnswer: 1, -25, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 121, 526, 1205, 2158?\n\"Answer: 137*k**2 - 6*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 0 + 16 - (19 - (-10 + -2 + 26))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 2*t = -70, -4*i - 6 + 58 = 4*t. Suppose -15*c - 115 = -i*c. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2*2\/6*-1. Let d = -0.041178 - 1.958822. Suppose 2*w + 4 = -5*i, 8 = -i + 6*i - 4*w. What is the nearest to 0.06 in d, s, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 4808 divided by 8\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xfp when three letters picked without replacement from xbpof.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out -1.3 - 3716.\nAnswer: -3717.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is ((-16)\/(-716))\/(936\/(-117))*28\/(-7)?\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 50707 divided by 91\nAnswer: 50707\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 98 a factor of 84288342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out -29.04 + -5867667319.\nAnswer: -5867667348.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -4046 (base 15) to base 8\nAnswer: -32376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 121 or -73873?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6577887 divided by 3.\nAnswer: -2192629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -v**3 - 2*v**2 + 2*v. Let x = -8 + 12. Suppose -6*n + 2*n = -4*k + 8, -5*k = x*n - 28. Let i(b) = b**3 + 3*b**2 - 3*b. Calculate k*i(u) + 6*c(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -1155 divided by -111293?\nAnswer: 165\/15899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:30 PM and 6:09 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = f**2 - 6*f + 14. Let l be b(-8). Find the third derivative of -136*y**5 + l*y**5 - 198*y**5 - 168*y**2 wrt y.\nAnswer: -12480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-15 + 0)*((-4)\/10 - 0). What is the third derivative of -63*g**4 - 2 + r*g**2 + g**2 - 5*g**2 - 14 wrt g?\nAnswer: -1512*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4 + h**2 + 4 + (-1 - 3 + 3)*(-h**2 + h - h) + (-62*h - 329*h - 301*h)*(-4 - h + 4).\nAnswer: 694*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Determine l, given that -69\/2*l**3 - 39*l**2 + 66*l + 3\/2*l**5 + 60 + 12*l**4 = 0.\nAnswer: -10, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -51970 to the nearest 1000.\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -i**3 + 6*i**2 + 10*i + 2. Let b(m) = -2*m**3 - 5*m**2 + 36*m + 107. Let w be b(-3). Determine g(w).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/30 in -4, -1, 0.1, 0.2, 0.597?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-14)\/(((-8)\/(-14))\/(10\/35)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k be (0 - 10)\/(((-296)\/10512)\/37). Calculate the greatest common divisor of k and 720.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 497098090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + 5 + (4 + sqrt(1100) + 1 + sqrt(1100) + sqrt(1100) - (sqrt(704) + -2)**2*5).\nAnswer: -3532 + 190*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-16668)\/(-463)*(-9)\/12.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 8*b**3 + 23*b**2 - 8*b. Let y(p) be the third derivative of p**6\/40 + 2*p**5\/15 - p**4\/8 + 4511*p**2. Give -4*i(v) + 11*y(v).\nAnswer: v**3 - 4*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let -2*t**4 + 11742*t**3 + 758622*t**2 + 6280418*t - 7050780 = 0. What is t?\nAnswer: -54, -11, 1, 5935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 34ad (base 15) to base 3\nAnswer: 120100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 302 = -78*c + 3*i + i, -70 = -5*c + 100*i - 105*i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.5, 18, -3, -80299?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(171)\/(sqrt(36)\/sqrt(4)) + -2 - -2*(sqrt(76)\/sqrt(4) + 2).\nAnswer: 2 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (2\/(-10) + 111\/(-45))*(565 + -583)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (18 + 19 - 5)*(3*k - 18 + 20 - k - 2*k**2) to i*k**2 + d + g*k and give g.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dddd when four letters picked without replacement from ddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 85 = -7*q - 5*w, -2*q + 6*q - 14*w + 26*w = 11*w - 30 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -20*d**3 - 2*d**2 + 2. Let v be n(2). Let r(f) = -8*f**3 - 6*f**2 + 12*f - 6. Let m be r(3). Let a = v - m. Which is smaller: 75 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 304 + -302. Suppose 3*n + d*j = -3*j + 48544, -16185 = -n + 2*j. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from pppss.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 40445.12l in millilitres?\nAnswer: 40445120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by 1566743.\nAnswer: -2\/1566743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b = 9*o + 3*b - 0*b + 491 - 453, -2*o - 4*b = 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 4 + 0)*(3*f + 0*f - 4*f) - 102*f - 88*f - 97 + 188*f as o*f + t and give t.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 11 + 1 = 6*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = -t + 15, -3*t + 0*t = -3*j - 30. Suppose 168 = t*c + v + 51, 4*c - 5*v = 82. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 5*r + 1. Let t(i) = -i**2 + i - 1. Let k(p) = t(p) + w(p). Let a be k(6). Solve g - 15 - 10 = 4*b, 3*b + 15 = a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 29*l + 21*l**3 - 29*l - 11*l**3 - 13*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 4, n: 2, c: 4}. Give prob of picking 1 n and 1 b.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {t: 1, h: 2, p: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out 263943.8196 + -104.\nAnswer: 263839.8196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 3578*i - 493666. Determine t(138).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) be the second derivative of 0 + 0*m**2 - 1\/6*m**4 + 0*m**3 - 4*m. Let y(f) be the first derivative of f**2\/2 - 1. Give t(y(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*q + 2*w = -5*q - 1, -5*q + 37 = -4*w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 105 = -f + 2*f. Suppose -2*o = -2*r - 3*r - f, 123 = 3*o + 4*r. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 12643, 12792, 13183, 13936, 15171, 17008, 19567, 22968?\nAnswer: 27331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -548 + 550 = -2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 259072 a multiple of 736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y = 27 - 8. What is the remainder when 35 is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -588, -1123, -1598, -2013, -2368, -2663?\n\"Answer: 30*b**2 - 625*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 261*f + 431*f + 10*f - 1167*f.\nAnswer: -465*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -216 - 155?\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(76) - (sqrt(76)*-3 - sqrt(76)))\/sqrt(4) + -5.\nAnswer: -5 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 529 + -198. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4 + 6. Suppose r + b = g, -2*b - b = 0. Suppose -r*p + 4*o = -1258, -o - 380 = -3*p + 1522. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -153*b**3 - 1381*b**2 + 1405*b**2 + 11 - 8 wrt b?\nAnswer: -918","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -3*z - 1. Let i(b) = -7*b - 2. Let g(c) = -c**2 - c + 4. Let p be g(0). Suppose -p*r + 5 = -3. Suppose 3*d = r*d + 6. What is d*i(a) - 13*o(a)?\nAnswer: -3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 305 a factor of 76260730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + (0 + 4 - (2 - 3)) - 17.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1446543, 1446545, 1446547?\nAnswer: 1446549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 7*g. Let k(n) = -1360*n. What is k(q(d))?\nAnswer: -9520*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2840, -5673, -8502, -11327, -14148?\nAnswer: -16965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 35468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l**2 + 19*l - 16. Calculate f(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -6*d**2. Suppose 0 = 6*t + 2*t - 104. Let p(v) = -13 + t + 2*v**2 + 3*v**2. What is 4*p(b) + 3*s(b)?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 74 (b) -0.5 (c) -1\/108 (d) -1\/8 (e) -0.06 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 2440395389 to the power of 1\/2, to the nearest integer?\nAnswer: 49400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 841540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = m + 3. Calculate q(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/2*(-12)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 166*i = 596821 + 46595. What is the least common multiple of 3876 and i?\nAnswer: 3876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + -1 + 0 + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = 12 + 0. Suppose -5*p - x = -p. Let n(t) = 2*t + 3. Determine n(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -123 + 117 + 0 + -12 - (-6 - (-5 + 9))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 998273707 to the nearest integer?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.052256 rounded to four dps?\nAnswer: 0.0523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-2)\/8)\/(-22 - -23). What is the closest to -2 in 4, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 216 and 512.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 1, o: 2, e: 2, q: 1}. Give prob of picking 1 a and 1 e.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - 17 - (11 - 41).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -27 - -29. Let k(q) = -21*q**2 - 23*q**2 - q**3 + 2*q + 38*q**2 + 2*q + 2 - v*q. What is k(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-213 - 1113 + 274)*(16 - 2*t**2 - 16).\nAnswer: 2104*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-18)\/(-297) + (-61)\/(46299\/12190) - -47?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = 20*b - 43 + 16*b - 49*b + 15*b. Let m be t(22). Calculate the greatest common divisor of m and 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2768476, -2768493, -2768510?\nAnswer: -2768527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) be the second derivative of r**5\/2 + r**4\/3 - 5*r**3\/3 - 2*r**2 - 7*r. Determine k so that j(k) = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -3\/4, 32, -5, 6\/11?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 76*i = -131 - 21 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -1 < -513\/2710?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 2*x**2 + 81*x - 197. Is o(-47) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -10\/1887 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4491025*n**2*v**2 - 9*n**2*v + 66*n**2 - 5*n*v - 4*n - 2*v**2 + v wrt v.\nAnswer: -8982050*n**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 200 and 6683400.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = y**2 + 10*y - 7. Let i be d(-11). Suppose -72 = -i*u - 0*u. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 36 + -27. Let l be o*2\/6*-2. Find the common denominator of 119\/6 and 31 + -8 - 8\/l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 840 - 847.272. Let h = r - 0.028. Let s = h - -7. Sort 2\/13, s, 0.3 in descending order.\nAnswer: 0.3, 2\/13, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gggm when four letters picked without replacement from mgmgmmmmggmgggmm.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hkhkkkkhkhkhhhkk. Give prob of picking 1 k and 3 h.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -22 (base 10) in base 15?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 104 divided by -3?\nAnswer: -104\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-568 - 11*v + 1135 - 569)*(v**2 - 2*v**2 - 2*v**2).\nAnswer: 33*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r be (1 - (11 + -7)) + -3 - -14. Solve r*i + 2 = 6*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-5)\/(15\/2)*(-52)\/(163800\/135)\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be -2*(-12)\/(-48) + (-18)\/(-4). Suppose -z = 5*x - w*z - 235, -5*z = 3*x - 175. Calculate the remainder when 498 is divided by x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*-2*(sqrt(132) - 4*1*sqrt(132) - 5*(sqrt(132) + 2*sqrt(132)))\/(-2*1*sqrt(972)))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 5428099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -229542*x - 2065866. Give p(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6 - -31. Solve 9 = -14*y + h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5661166 divided by 6.\nAnswer: 2830583\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w, 1 i, and 1 t when three letters picked without replacement from yityigww.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n be 22\/24 + 2\/(-3). Let t be 900\/(-1500) - 62\/(-70). Is t at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 1377*j - 326. List the prime factors of o(10).\nAnswer: 2, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 53, 103\/3, -4\/3, 4.\nAnswer: -4\/3, 4, 103\/3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = -28250 - -28476. What is the remainder when 4741 is divided by a?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -21*k**3 + 2274273*k**2 - 1624464*k - 649788 = 0. What is k?\nAnswer: -2\/7, 1, 108298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = 10\/99 - -4\/33. What is the second smallest value in 0.5, 3.2, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*q - 14*q + 48. Let k(s) = s**3 - 7*s**2 + 5*s + 7. Calculate k(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in -1\/6, 2\/7, -1\/4, -1\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3.871537l?\nAnswer: 3871.537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = y**2 + 16*y - 45. Let j be k(-19). Suppose j = -3*i - 0*i. Put 1, 4, i, -6 in increasing order.\nAnswer: -6, i, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12)\/(-8)*((-2)\/3)\/(70\/20).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 39*r - 38*r - 292 = -g - 293, 5*g = 4*r + 22 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -18*x**2. Let u(r) = 2*r - 7*r + 3*r. Let v(s) = s. Suppose 103*g + 10 = 102*g. Let t(b) = g*v(b) - 4*u(b). Determine d(t(m)).\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 15 + 0 = 0. Suppose -2*k = -s + 12602, l*s - s - 12608 = 2*k. Round k to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 17 - 1. Let a be 9 + -1 + n\/(-4). Suppose -4*f**3 + 17*f**2 + a*f - 17*f**2 + 1 - 2*f**4 + 1 = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 141*b**5 + 454*b**4 + 144*b**2 - 167?\nAnswer: 8460*b**2 + 10896*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -9 (b) -1\/3 (c) -4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 41653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -226\/5, 0.54, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*q - 5*t + 10650 = 10495, -5*t + 140 = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 131 - -13?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = n. Suppose -c + 20 + 12 = -3*q, -5*c + q = -104. Let g be 52\/c + 2\/5. Let s(i) = 2*i**2 + 4*i - i - g*i. Give s(k(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-4)\/6*-9 + 6. Calculate the greatest common divisor of c and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -10*o**2 - 2. Let j be t(-2). Let r(w) = w**3 + 6*w**2 + 2*w - 8. Let k be r(-6). Let u = k - j. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*f + 5*m + 68, 1146 - 567 = -4*m + 571 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -9*i**5*w - 487*i**3 - 298*i**2 + 2*i*w wrt i?\nAnswer: -540*i**2*w - 2922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - t - 10910312 = -780553, l = 3*t - 2025955. Let j = l + -584048. What is j rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 276, 297, 334, 387, 456, 541?\n\"Answer: 8*j**2 - 3*j + 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36*m = -5*m + 1618393. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 124 = 15*z + 49 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 24\/(-460)*(40\/(-18))\/((-61)\/183)?\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 51 = -10*o + 91 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y be -1*45\/(-6 - -3). Suppose 33*p - 2 = 32*p. Suppose p*z + y = 35. Solve -5*h = -10*h + z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-26)\/(-12)*(-504)\/(-3276).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y + 12278 = -2*y. Let a be 1\/4 + y\/(-196). Let n = 31 - a. Put 1, n, 1\/4 in descending order.\nAnswer: 1, 1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 213 (b) 2\/23 (c) -41\/2 (d) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 7 - 35\/(-18 + 53)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((3\/21)\/(5\/(5145\/(-98))))\/((-6)\/(-364))?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -j**2 - 2*j + 32. What is a(-8)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is s in -4*s**4 + 76*s**3 - 420*s**2 + 196*s + 2744 = 0?\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 5 and 21?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.2 and 269.\nAnswer: -53.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qa when two letters picked without replacement from cqqaccqccqaqc?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 118080 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = f**3 - 10*f**2 + 2*f. Let l(u) = -u**2 - u + 2. Let v be l(0). Let j(p) = 5*p. Let z be j(v). Is m(z) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 3\/10 of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*a**(-2\/11)\/a)\/a**(-2\/3))\/((a\/((a*(a\/a**(-4\/3))\/a*a)\/a*a*a)*a)\/(a*a\/a**(-8))) assuming a is positive.\nAnswer: a**(141\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*-6*(sqrt(24)\/sqrt(3))\/sqrt(4).\nAnswer: -30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -2, 10, 34, 76, 142, 238, 370, 544?\n\"Answer: d**3 + 5*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be (10 + -9)\/(2\/(-2)). What is the nearest to h in -2, -3, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = m**2 + m - 4. What is q(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*-2*(2*sqrt(114) + sqrt(114))*3)\/(sqrt(54)\/sqrt(576) + 1*(sqrt(6) + sqrt(18)\/sqrt(3) + sqrt(6) + sqrt(6))).\nAnswer: 48*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -119*f + 144 = -135*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -153035061 (base 7) in base 5?\nAnswer: -10110310144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -36, -47, -72, -117, -188, -291?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 22, 3\/7, -1\/3, 0.0118?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand -n + n - 16*n + (2 - 4 + 3)*(-3*n + 4*n + n) - 2*n + 5*n - 2*n.\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -49*d - 34*d - 38*d + 23*d + 101*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) be the second derivative of 171*m**4\/4 - 3947*m. Let z(a) = 7*a. What is q(z(x))?\nAnswer: 25137*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 85668, 85665, 85662, 85659, 85656, 85653?\n\"Answer: -3*g + 85671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) be the third derivative of 13*p**4\/24 - 179*p**3\/6 + 148*p**2. Let h be f(14). Factor 0 + 4\/9*x - 4\/9*x**h + 2\/9*x**4 - 2\/9*x**2.\nAnswer: 2*x*(x - 2)*(x - 1)*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -63782, -127573, -191364, -255155?\n\"Answer: -63791*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(sqrt(352)\/sqrt(11))**2.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 21*x**3 + 2*x**2 - 2*x + 1. Let t be (-36)\/(-14)*(-112)\/(-24). Let a be ((-4)\/24)\/((-2)\/t). Calculate the remainder when j(a) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -82 + (-55 - 47 - -96)\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from trrxgkxtl. Give prob of picking 1 l and 2 r.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide 15831321 by 809.\nAnswer: 19569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = -10 - -20. Let h = -7 + 15. Suppose k + 2 = h. Calculate the least common multiple of k and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*w**4 - 7902*w**3 - 1464840*w**2 - 93566850*w - 2009431125.\nAnswer: -3*(w + 65)**3*(w + 2439)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p be 388\/20 - 15\/(-25). Solve 2*z = -2*z - p, -z - 6 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((1 + 4 - 3)*(5 - 5 - 2*z) + z - 5*z + 5*z + 12*z - 11*z + 5*z)*(-z + 5*z - 3*z) + z**2 + 6*z**2 + 4*z**2.\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w - 4*f + 12 = 0, -w + f = 7 - 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 42\/5 of a kilogram in grams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -3*m**2 - 40*m - m**3 + 0*m**2 + 34*m in the form h*m**3 + i*m + b + o*m**2 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1687323437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 2875 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1)\/(-11 + (-6656)\/(-39)). Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 40074618?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {j: 4, f: 6, l: 9}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f + 31 = t + 20, -3*f + 10 = 4*t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-3)\/(-2) - 681\/(-6). What is the highest common divisor of g and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 113 - 167. Is (l\/(-12))\/((-2)\/(-4)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = y**2 - y + 2. Let z = 7 - 7. Let v be w(z). Let q(h) = -3*h + 2. Calculate q(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((28\/16)\/(5\/35))\/((5\/(-1))\/20)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Sort -15\/2143, -0.2, -104 in descending order.\nAnswer: -15\/2143, -0.2, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 2, z: 3, n: 5, u: 7}. Give prob of sequence zlun.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = -65.07 + -510.94. Let p = -579 - v. What is p rounded to one decimal place?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6289579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -47*j + 5*j - 336 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 136929 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 213967709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = 6 - 7.4. Let b = q - -3.4. Let k = 3.2 + -3. What is the third biggest value in b, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -874 - -7864\/9. What is the fifth smallest value in k, -0.21, 0.4, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 36 and 8037?\nAnswer: 32148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 8887940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert -9ab79 (base 13) to base 10.\nAnswer: -280978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gfbgfbggbbgbbggbff. What is prob of picking 1 g and 3 f?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-18)\/(-45) + 217\/(-5) + -1. Let z be (-1 - -39)\/((w\/6)\/(-11)). What is the highest common divisor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 84460\/(-12669)*(-6)\/(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 176541831?\nAnswer: 3, 337, 58207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 34*j**2 + 8*j + 14. Let g be d(-6). Let a be ((-204)\/g)\/((-6)\/10). Suppose a*l**2 + 0 - 2\/7*l = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = -t**3 + t**2 + 5. Let m be n(0). Let b(z) = -z**3 - 7*z**2 + 8*z - 3. Let h be b(-8). Let g be 0 + 10 + 96\/(-8). Put g, m, h in decreasing order.\nAnswer: m, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zcmkkicyzikicziy. Give prob of picking 1 y and 1 k.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1 - 3055?\nAnswer: -3056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -13*o. Let x(b) = -65*b + 1. Calculate 11*f(g) - 2*x(g).\nAnswer: -13*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-1)\/4)\/((-1)\/8612) - -4?\nAnswer: 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h - 4*p + 0*p + 1496 = 0, 2*h - 2*p - 736 = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*j + 85 + 275 = 0. Let n be (-4)\/(-20) - (-19)\/j. Which is the second smallest value? (a) n (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-124)\/(-10)*(-10)\/162 and (12\/5)\/(152\/(60800\/(-504))).\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*g - 5*o - 13, 0 = -2*g + 5*o - 0 + 1. Let u be -2*g*177\/12. Suppose 0 = 3*c + 2 - u. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*f**3*o**3 + 201*f**3 - 7*f**2*o**3 + o wrt o.\nAnswer: 6*f**3*o**2 - 21*f**2*o**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 54211?\nAnswer: 23, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 636 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 303852960 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u be 7\/22 - (-10)\/(-20). What is the third biggest value in 0.6, 4, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -778, -5, -1, 9, 3, 0 in decreasing order.\nAnswer: 9, 3, 0, -1, -5, -778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) be the third derivative of -z**4\/3 + 5*z**3\/3 - 13*z**2. Let r(w) = -5*w + 5. Let p(k) = 6*k - 6. Let s(x) = 4*p(x) + 5*r(x). What is -g(d) + 10*s(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nlqu when four letters picked without replacement from nluqnu.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (-1668)\/2502*2\/(-1)*315\/(-6)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Product of 1 and 0.11.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d - 2 = 2*d. Let v be d\/3*2*-3. What is the units digit of 11 + (-1)\/(v\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 236523584 divided by 68?\nAnswer: 3478288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 + 2 + 0 + (18 + 21 - 5)*(-3 - 1 + 3))*(-2*j**2 - 2*j**2 + 7*j**2)*(-19*j - 5*j + 11*j) to m + i*j + o*j**3 + q*j**2 and give o.\nAnswer: 1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + sqrt(30)\/sqrt(6)*3)**2 - sqrt(20)\/(sqrt(324)*5).\nAnswer: 1079*sqrt(5)\/45 + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -132*i**3 - 6*i**2 - 17*i - 28. Let m(y) = 22*y**3 + y**2 + 3*y + 5. Determine 6*b(j) + 34*m(j).\nAnswer: -44*j**3 - 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = 558 + 257. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9086990 + 5479*b**2 + 9086990)*(-b**2 + 4*b - 4*b).\nAnswer: -5479*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -3, 5, -0.1, 3\/4, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = -4*z - 4*k + 72, 5*k = 3*z - 72. Let h = z - -8. What is the second derivative of -h - 4*c + 32 - 2*c**5 wrt c?\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 618 minutes before 7:57 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -1414*i - 102729 = -4527*i for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 114851449?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -25, 33314, -4, 0.5, 4, -3, -2 in increasing order.\nAnswer: -25, -4, -3, -2, 0.5, 4, 33314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2 (b) 0.02 (c) -0.2 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*k = 5*k + 4. Solve -2*t = -0*t + k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -7? (a) 4\/3 (b) -2 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 30*p - 55. Calculate u(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = -3*i - k + 87, -2*k - 110 = -4*i. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -179254 + -110?\nAnswer: -179364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o be (8\/(-6))\/((-2)\/1). Let q = -15 + 38. Let k = -24 + q. Which is the smallest value? (a) -2\/9 (b) k (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-l**3 - 4*l**3 - 5*l**3)*(l**2 + l**2 - 8*l**2) - 73*l + 156*l - 356*l**5 - 83*l.\nAnswer: -296*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = x**2 - 8*x - 4. Let g(t) = t**2 - 9*t - 4. Let f(h) = 2*g(h) - 3*r(h). Determine f(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 91 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 + 5 - 1)*(-21*v - 8*v + 5*v).\nAnswer: 48*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -2*f**2 - 2*f + 3. Let x be (((-4)\/2)\/(-1))\/((-4)\/(-26)). Suppose -x*h = -69 + 17. Let r(n) = -2*n**2 - 2*n + 2. Calculate h*a(m) - 5*r(m).\nAnswer: 2*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -5*u**2 - 119*u + 50. Let m be k(-24). Solve 5*r + m = -h, -64*h + 68*h = 4*r - 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -38949 (b) -1\/2 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (108\/(-8) + (-102)\/(-6))*-8.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 250 minutes after 6:29 PM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 24640, -6, 2\/15, -4\/9 in increasing order.\nAnswer: -6, -4\/9, 2\/15, 24640","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: Does 1704 divide 51765669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand ((5*m - 3*m - 4*m)*(0 - 4 + 2) + (2 + 0 - 1)*(0*m - 4*m + m) + 2*m - 5*m + m)*(4 - 4 + 1)*(-3*m + 3*m - m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -3*j**2. Let t be ((-30)\/12)\/(10\/(-24)). Let c(s) = t*s + 3 + 3*s - 20*s. What is u(c(m))?\nAnswer: -363*m**2 + 198*m - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w**4 + 40*w**3 - 234*w**2 + 140*w + 1568 = 0.\nAnswer: -2, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2549?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = x - 32. Let s(y) = 11*y - 336. Let d(b) = 2*s(b) - 21*u(b). Let q(p) = -3270*p**2. What is q(d(j))?\nAnswer: -3270*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 74010785, 148021569, 222032353, 296043137, 370053921, 444064705?\n\"Answer: 74010784*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*n**4\/7 - 157068*n**3\/7 + 1542446880*n**2\/7 - 1541347600*n.\nAnswer: 4*n*(n - 19630)**2*(n - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3602?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*p - 24 = 5*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 55\/339759 and -61\/776592?\nAnswer: 5436144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -1\/5 (b) -58 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2483, 10015, 22575, 40163, 62779, 90423, 123095?\nAnswer: 160795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -5*m - 8. Let l(s) = -6*s - 8. What is 3*g(o) - 2*l(o)?\nAnswer: -3*o - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqqqqqhjqqqhhjq. What is prob of sequence qq?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -5*w + 5*d - 9, -d + 8 = 2*w. Solve -3*q - 8 = u - 0*q, -15 = w*u + 5*q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be -6*3\/(-45) - (-46)\/10. Solve -5*d + s + 3 = -9, 2*s + 9 = a*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, -4, -1, -38, 1 in descending order.\nAnswer: 1, -1, -4, -7, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1857\/(-231) + ((-742)\/56 - -12)\/((-160)\/1024).\nAnswer: -3\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.861 - 0.861. What is the nearest to g in -3, 2\/11, 12?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -116*s + 1623. Let c be j(11). Solve -c*d + 336*d = 88 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 7 + -163a7085?\nAnswer: -163a7079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: ((-16)\/(-20))\/(6 - 724\/120)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 39*x**3 - 4*x**2 + 3*x - 162*x**3 - x + 137.\nAnswer: -123*x**3 - 4*x**2 + 2*x + 137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -v**2 + 25*v - 61. Let o be i(22). Solve 4*y - o*y + 5 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 20*d + 2. Let s(c) = 2*c. Let q(j) = 2*i(j) - 22*s(j). Let v be q(3). Let u be v*1\/(-4)*2. Solve 2*y = -2 - u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 67170064.\nAnswer: 2, 13, 24841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3 + (0 - (12 - 0)). Which is bigger: -7 or i?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 714 minutes before 9:39 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ammeaeaea. Give prob of sequence ma.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1, 3\/17, 121?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 463*s - 9 = 466*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 4*l**2 + 6*l + 5. Let a(q) = -q**3 - 9*q**2 + 8*q - 3. Let i be a(-10). Let v(p) = -12*p**2 - 17*p - 14. What is i*g(x) + 6*v(x)?\nAnswer: -4*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 156*x - 151. Calculate u(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g - 240 = 6*g. Let n be ((-126)\/28)\/(2\/g - 0). Suppose -4*i + 30 = 5*p - 42, -5*p = -3*i + n. What is the remainder when i is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) be the second derivative of 247*m**7\/7 + 839*m**3\/6 - m**2\/2 - 831*m. What is the second derivative of s(k) wrt k?\nAnswer: 29640*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -y**2 + 10*y - 1. Give d(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand 22*j**3 - 72*j**5 - 6*j**3 - 18*j**3 + (-1 + 1 - 3)*(-j**5 + 4 - 4).\nAnswer: -69*j**5 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + sqrt(2)*-3*1*-6 - (sqrt(10)\/sqrt(245) - ((-4 + sqrt(6)\/sqrt(3))**2 - sqrt(2))).\nAnswer: 62*sqrt(2)\/7 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m*m*m**(-20)*m)\/m)\/m)\/m**17 assuming m is positive.\nAnswer: m**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = 7066 + -7014. Solve 81*z - 94*z = g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 99365389, 99365390, 99365391, 99365392?\n\"Answer: c + 99365388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Total of -100.47 and 0.2634.\nAnswer: -100.2066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-one fifths of a kilometer in meters?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 13*x**2 + x. Let g be y(1). Let s be -2 + -2 + (3 - 1). Let n(j) = -5*j + 1. Let h be n(s). Solve 0 = -5*a - h - g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -101100022 (base 3) in base 12?\nAnswer: -4445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q be (8\/((-72)\/27))\/(1 + 0). Let w = 2 - 2.01. Which is the biggest value? (a) w (b) 2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 702 minutes before 9:21 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2\/3, -7, -2, -26, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1.39? (a) 1\/4 (b) 2 (c) -0.01 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 102384 and 1740528?\nAnswer: 1740528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -33*r**2 - 3*r + 11. Let t(z) be the first derivative of 17*z**3\/3 + z**2 - 6*z - 90. Determine 4*k(y) + 7*t(y).\nAnswer: -13*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 3*g**3 - 88*g**2 + 98*g - 818. Determine h(28).\nAnswer: -1210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 20863571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 7792549889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/4 in 2\/5, 0.5, -30?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -3223 times 1?\nAnswer: -3223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -339529*p - 1018584. Give i(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of s**2 - 5*s**2 - 3*s**3 - s**3 - 12 + 7*s**3 wrt s?\nAnswer: 9*s**2 - 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -3*w - 6. Let i(a) = a. Let b(f) = 2*i(f) + k(f). Determine b(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(77)\/(6*(sqrt(7) + sqrt(7) + sqrt(7)*-1)).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -321*l + 35*l = 5016 - 17456 - 6436 for l.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 11 times -23?\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jfmf when four letters picked without replacement from {x: 2, j: 2, m: 1, w: 6, f: 5, a: 3}?\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -16? (a) 2\/17 (b) 8 (c) -0.1 (d) -1\/4 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 36.4 + -36. Which is the nearest to p? (a) -3 (b) -3\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) be the third derivative of g**4\/24 - 2*g**2. Let z(u) be the second derivative of -37*u**4\/12 + 1529*u. What is z(n(r))?\nAnswer: -37*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 6194, 6196, 6198, 6200, 6202?\n\"Answer: 2*v + 6192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 47 - 39. Suppose 12*z - d*z - 576 = 0. What is the units digit of (z\/(-20))\/(1\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 4257294 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 1110*o + 292976. Calculate q(-264).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.4 and 3.8.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {g: 4, q: 1, r: 1, y: 8, k: 2}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7113?\nAnswer: 3, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2\/(-4*5\/(-20)). Suppose -4*k - y*g = -858, 5*k - 50 - 1042 = 4*g. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 34972194 + 3?\nAnswer: 34972197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 680832 divided by 12608\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 1\/20 of a kilogram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*t = 6*t - 96. Suppose -g - t = -7. Let s be 8 + (6 - 1)*g. Solve -4*v = -s*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1944*i + 924 = 1867*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 1710.8 to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*v**2 + 14*v**2 - 3*v**2)*(4*v + 3*v - 5*v) - 4*v**3 - v**3 - 4*v**3 to p*v**2 + r*v + w*v**3 + y and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 531190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 2, 56, 1 in descending order.\nAnswer: 56, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.11 in -0.09, 2, -2\/29?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) be the first derivative of -k**5\/12 - 89*k**3\/6 + 131*k**2\/2 - 89. Let x(j) be the second derivative of o(j). Differentiate x(d) with respect to d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 0\/(15\/10*-2). Suppose 0 = -4*g - 3*h - 4, -4*g - 8 = 4*h. Let i be (-12)\/(-27) + g\/9. Which is smaller: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1119*q - 394*q - 213150 = 0. Calculate the greatest common divisor of q and 924.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = j**2 - 3*j. Let r(p) = 5*p**2 - 20*p + 7. Let h(x) = -2*x**2 + 8*x - 3. Let d(v) = 7*h(v) + 3*r(v). Let w = -76 - -73. What is w*d(c) + 4*k(c)?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 96.9806cm to kilometers.\nAnswer: 0.000969806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -382.549 to the nearest 10.\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q - 36 + 4 = -m, 2*q - 160 = -5*m. Suppose -m*h = -29*h - 102. Suppose 0 = -a - 2, 3*s + 4*a = -6 + h. Solve 15*k - 18*k = s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*k - k - 32. Suppose -3*o + 35 = 2*s - 29, o = 2*s + k. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 4*t + 48 = -2*k, 4*t = -5*k + 176. Let o(i) = i**3 - 5*i**2 + 3*i - 6. Let r be o(6). What is the greatest common factor of k and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1111001110001010000111 - 101?\nAnswer: -1111001110001010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qyyjaygayagajagqaaqy. What is prob of sequence aaj?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when ((-377)\/26 + 14 - (3 - 5))*26 is divided by (1 - (0 - 3))\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23915.\nAnswer: 5, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (-256 - 58 - 35)*(-2*y**3 - 3*y**3 + 4*y**3) as i*y**3 + p + b*y**2 + x*y and give i.\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x be -2 + (-11)\/((-66)\/(-96)). Let p be (4\/(-6))\/(177\/x*2). Which is the nearest to 0? (a) 6\/11 (b) 0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/(-5))\/((-8)\/60).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -77 + 3*k + 7*k + 77 - 8*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14964853.\nAnswer: 257, 58229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -73.9, -53719, 0.2?\nAnswer: -53719","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(300) + sqrt(300)*-1)*4*5)**2 - (sqrt(300)*2 + 5 - (-1 + (sqrt(300) - sqrt(300)*-1))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 12160 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Subtract 2.00026 from 7.14867043.\nAnswer: 5.14841043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 115*t + 17*t + 202 + 62 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 1111121537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 368*s + 74 - 218 + 70 + 76 to the form i + t*s and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n + 16 = 3*w - 4*n, 5*w + 3*n = -5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*m**2 + 8*m**2 + 12*m**2 - 2*m**2.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 4, -1\/1496, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 48 + -47. Suppose u = 4*w - 199. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j**(-2\/17))\/(j\/(j**(-3\/14)*j)*j) assuming j is positive.\nAnswer: j**(-79\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 53726976?\nAnswer: 2, 3, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 435 divided by 87\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 445 + 821*p - 150 - 144 - 147.\nAnswer: 821*p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + -3 + (-1 - 2) + (405 - 431).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 392\/276 - (-4 + 384\/72)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -25081632 to the nearest ten thousand.\nAnswer: -25080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -7176*k. Let h(s) be the second derivative of -s**3\/6 - 541*s. Give u(h(v)).\nAnswer: 7176*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pbbppkkb. What is prob of picking 2 b?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) be the first derivative of m**4\/4 + 2*m**3\/3 + 2*m - 3. Let y be r(-2). Is 2 - y - 2 - -225 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4930554043 + 4930554043 - 54*t.\nAnswer: -54*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 40494, 80992, 121490, 161988?\n\"Answer: 40498*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -106018, -212045, -318086, -424141, -530210, -636293?\n\"Answer: -7*n**2 - 106006*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.07 in -13, 0.1, 1\/2, 3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -796*p - 1256?\nAnswer: -796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zcc when three letters picked without replacement from ucuurrurrzzcrrrr?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand ((5 - 6 - 6)*(5 + 5 - 20) + (2 + 1 - 4)*(-3 - 1 + 3) + (2 - 1 - 2)*(-1 - 1 + 1))*(0*k - 2*k + 0*k)*(-13*k - k + k).\nAnswer: 1872*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m = -20 - -17. Let c(d) = d**2 - d - 1. Let r(k) = 2*k - k**2 + 3*k + 5 + 0*k. Calculate m*c(v) - r(v).\nAnswer: -2*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -2918630 < -2918631?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -v + 17. What is i(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (22\/(-1331))\/(-303 + 304)\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 750002235 to the power of 1\/2, to the nearest integer?\nAnswer: 27386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3688*o + 3*o**2 - 2*o**4 - 7341*o + 3681*o + 2*o**3 - o**2 + 8 to g + u*o**4 + y*o**3 + n*o**2 + r*o and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 670?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -5 (b) -0.4 (c) -1 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 36830842 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -1443*r - 106790. What is x(-74)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 4377, 8753, 13129?\n\"Answer: 4376*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -82 or -67?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 15*g**2 - 63*g - 150. What is z(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15252 = 13*w + 9539. Let g = -1331 - w. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u + 3*k = 25931, 4*k + 9 = -3. What are the prime factors of u?\nAnswer: 2, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 + 1 + -8 + 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -53 + 76. Let k = v - 12. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 765 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 7219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 9 = -3*d - 0*b, 7 = d + 3*b. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -15, -2, 39, 120, 253, 450, 723, 1084?\nAnswer: 1545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1400081 and 8?\nAnswer: 11200648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1311825254 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:49 AM and 1:31 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2 + 6. Which is the biggest value? (a) 3 (b) m (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (7*1*(-6)\/((-336)\/(-8)))\/3*129?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 5*i**3 + 8*i**2 + 4*i + 1. Calculate l(-3).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 6193193 a multiple of 1165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-44 - -39) + 3 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -18 + 18.4. Sort u, -1\/7, -0.4 in descending order.\nAnswer: u, -1\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -5044, -1, -2 in descending order.\nAnswer: -1, -2, -5, -5044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 51 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5*(-25)\/40*((-11912)\/(-7445))\/(8\/6).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 315179976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -30535243 (base 6) in base 15?\nAnswer: -126cc0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 288*l**2 + 1. Let y(r) = 77*r**2 + 9*r - 2. What is y(g(j))?\nAnswer: 6386688*j**4 + 46944*j**2 + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = 144 + -28. Suppose i = 2*n + n + h, n + 4*h = 24. What is the highest common divisor of n and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 92372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 3, 1, -11, 279, 4 in decreasing order.\nAnswer: 279, 4, 3, 1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand -30396*v**3 - 121*v**4 + 30396*v**3 + (3*v - 3*v - 2*v**3)*(12 - 12 + 4*v).\nAnswer: -129*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (7 - 5) + (6 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*u - 20*m = -22*m - 12, 0 = -u - 3*m - 14 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(33) + 2*sqrt(3993))\/(-5*sqrt(22)\/sqrt(2)).\nAnswer: -23*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 3256171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 + 1 - 3)*(-2*p - p + p)*(-7 + 3 + 2)*(-545 + 281 - 455) to the form x + t*p and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -1561062*o - 7838 + 2057 = -1560939*o for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -36 + 19. Let x = i + 31. What is the smallest common multiple of 22 and x?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 313 divide 637073314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 13856\/7 or 1978?\nAnswer: 1978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c, 1 i, and 1 d when three letters picked without replacement from eideciccgc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 1260*d - 717*d - 766*d = 5798 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = -272.538 - -5.838. Round b to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o**(-1\/10)*o*((o\/(((o*o**(2\/23)\/o)\/o)\/o))\/o)\/o)**33)**(-1\/6))**(1\/2) assuming o is positive.\nAnswer: o**(-4587\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) be the third derivative of -n**5\/70 - 799*n**4\/84 + 178*n**3\/7 + 2830*n**2. Suppose t(c) = 0. Calculate c.\nAnswer: -267, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 14858 and 138.\nAnswer: 44574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a be 470 + -60 - (2 - 8). Which is bigger: a or 419?\nAnswer: 419","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 175 - 530?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = 680 - -55. Suppose -3*z - 267 = -c. What is the units digit of z\/4*(-4)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -s**3 + 4*s**2 - 5*s + 2. Let z(b) = -6*b**3 + 21*b**2 - 26*b + 10. Let i(r) = 11*n(r) - 2*z(r). What is the remainder when 34 is divided by i(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 34682.\nAnswer: 2, 17341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(-2*(sqrt(75) + 1) - sqrt(75)) + 4*-2*(sqrt(75) + -1))**2.\nAnswer: 30000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l be (10\/6)\/((-5)\/(-18)). Suppose 1 = p, p = -2*z - l + 37. What is the third derivative of 27*g**4 - 83 + z*g**2 + 83 wrt g?\nAnswer: 648*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from gnaqwggnggns?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -924.36 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17*y - 22*y + 5*y**2 + 39*y.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -4 - 1131?\nAnswer: -1135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1651 and 49218469?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 49.09224 millilitres?\nAnswer: 0.04909224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -n**3 + 15*n**2 + 17*n - 16. Let m be j(16). Suppose m = -3*x - 0*x. Solve 5*a + x - 15 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -5*v**2 - 10*v - 11. Let l(s) = 11*s**2 + 21*s + 23. Let p(y) = -13*j(y) - 6*l(y). Let n be p(5). What is r in 2*r**3 + n*r**3 + r**5 - 3*r**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4245 times -51?\nAnswer: -216495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 27*c - 113*c + 35*c + 36 + 30*c + 26*c.\nAnswer: 5*c + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -11, -29, -90, 193.\nAnswer: -90, -29, -11, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = 82\/69 + -12\/23. Let q(t) = -4*t. Let g be q(-1). What is the second smallest value in g, 3\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 6*h - 31. Calculate j(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) -5 (b) 2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 9340 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: Express -113*u**2 + 2*u - 451*u**3 - 97*u**2 + 210*u**2 - 6*u in the form f*u**3 + p*u**2 + a + d*u and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -49\/4 and -3\/680.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = 2*p + 3*o + 2, -3*p - 5*o - 14 = 0. Let j(u) be the third derivative of 1\/6*u**3 + 0*u + 0 + 1\/24*u**4 + u**p. Differentiate j(a) wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 109*p = 1855 + 325. Solve 23*r = p*r - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.4 times 0.262\nAnswer: 0.1048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 1.0107026 to 2 decimal places.\nAnswer: 1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16\/24 - 1729\/(-3)?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 4*m - 25. Let j = 33 - 27. Let k be h(j). What is the tens digit of 2 - 8\/((-2)\/(-24)*k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 314005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jjjb when four letters picked without replacement from tjtljjltbbjttbtjljt?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 21773569039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 24027 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Multiply -15.22 and -440.\nAnswer: 6696.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 255761736 divided by 152?\nAnswer: 1682643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p + 5*g + 8 = 29, p + 4*g - 8 = 0. Let n(y) be the second derivative of 13\/4*y**3 + 7*y + 9\/2*y**2 + 0 - 5\/8*y**p. Factor n(t).\nAnswer: -3*(t - 3)*(5*t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence np when two letters picked without replacement from ppascnannn.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = 6.7 - 3. Let t = -0.3 - y. Let n = 2 - 2. Put n, t, -1\/8 in increasing order.\nAnswer: t, -1\/8, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -50462 (base 8) in base 3?\nAnswer: -1001111212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1 + 3 + -4)\/15. Let z = -1 - -2. Is z at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -127\/119964 and 101\/76.\nAnswer: 2279316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -2*i**2 + 4*i - 2. Let h(t) = 10 + 5 + 2 + 9*t + 2. Let f(a) = 28*a + 58. Let l(d) = 5*f(d) - 16*h(d). Let u be l(-4). Give s(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 20007\/324 - 59 - (-162)\/(-56)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*o = -7*o - 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*i**2 - 1132*i**3 + 0*i**2 + 1237*i**3.\nAnswer: 105*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1216.2 + -1215.7. Which is the biggest value? (a) v (b) -5 (c) -2\/11 (d) -38.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46394191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 226 = 3*y + 100. Let x(m) = -m**3 - 37*m**2 + 2 + 77*m**2 - y*m**2 + m. Let w(u) = 2*u**3 + 5*u**2 - 2*u - 4. Give 2*w(c) + 5*x(c).\nAnswer: -c**3 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 142349*u - 14. Give q(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23337960 is divided by 438.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-2)*r**5*(r**0)**(5\/8))**(-26) assuming r is positive.\nAnswer: r**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9735.\nAnswer: 3, 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -73270.09 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(1\/6)\/v*v*v**(1\/9))**(-2\/27)*(v**(-4\/7)\/(v*v**(-3)))**(-2\/3) assuming v is positive.\nAnswer: v**(-1655\/1701)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = 105 + -105.149. What is u rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.049 in 0, -2, 2\/11, -0.03?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p + 3 = -i - p, -3*i + 16 = -2*p. List the prime factors of 2 + -9*(i - 3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -6 + -70?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -2815, 3, -5, -1110 in increasing order.\nAnswer: -2815, -1110, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 71 + -138 - -84 - (20 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 74 + -70. Suppose 5*m + 5*s - 105 = 0, -2*s = a*m - 1 - 73. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -7*i + 4. Let l be t(-7). Suppose 3*j + 2*p - l = 0, -4*p = -7*p + 12. Suppose 17*v - j*v - 10 = 0. Solve 0 = 5*c - 0 + v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 times -0.0019\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.06 - -28.94. Let g = -28.225 + l. Let v = 0.7 - g. Round v to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 210 and 60136510.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*c**2\/4 + 216*c + 6123.\nAnswer: -3*(c - 314)*(c + 26)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k be 228\/126 - (0 + 2\/14). Let v = -2 - -3. Let l be v - 0\/(0 - 1). Put l, k, 0.3 in decreasing order.\nAnswer: k, l, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00002515982 to six dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 7, m: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 277*i - 3872. Give j(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(2\/3)\/(u*u**(2\/31))*u\/(u*u\/(u*(u\/u**28)\/u))*u**(-29)*u assuming u is positive.\nAnswer: u**(-5245\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 16, 1, -1 in ascending order.\nAnswer: -1, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 524966522 to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h + 2*s + 16 = 0, -5*h + 2*s - 13 = 3*s. Let n(g) = 4*g + 8. Let w be n(-2). Which is the nearest to w? (a) -0.4 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 2 v when three letters picked without replacement from {i: 3, v: 7, k: 5, u: 1}?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 60 a factor of 46064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Are -12 and -77\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -37.579 less than 472.63764?\nAnswer: 510.21664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 24*g. Let z(q) = -q + 1. Let s(h) = -21*h**2 + 5*h - 5. Let o(u) = s(u) + 5*z(u). What is o(y(w))?\nAnswer: -12096*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*-1*sqrt(624) + sqrt(624) + sqrt(624)*-1*-4)\/((sqrt(120) - (sqrt(120) + sqrt(120)*-2))\/sqrt(10) - (sqrt(12) + (-1*sqrt(72))\/sqrt(6))))**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 2*k = -2582 - 90, -5*k + 1794 = 2*t. Suppose -j = 2, j = 2*m - 2*j - t. Suppose v - 3*v + 3*l + 295 = 0, m = 3*v - 4*l. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 49097, 51079, 53063, 55049, 57037, 59027, 61019?\nAnswer: 63013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 2 e when three letters picked without replacement from {e: 7, s: 2, q: 9, n: 1}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 11\/2 of a week?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 6, d: 7}. What is prob of sequence wd?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 - 17*g**3 - 3 + 6.\nAnswer: -17*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {j: 14, g: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 209433446 and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 199 is divided by 92.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -12*n**3 + 4. Let o(w) = -13*w**3 + 5. Calculate 3*o(x) - 4*p(x).\nAnswer: 9*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4084788 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (b**2 - b**2 + b**2)*(-9 - 8 - 7)*(-4*b + 5*b - 2*b)*(4 + 7*b - 4) to q*b**3 + z*b**4 + w*b + j*b**2 + l and give z.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 95836.09076 plus -0.08?\nAnswer: 95836.01076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 595 minutes after 1:56 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*x - x + 5*x)*(2*x - 4*x - 3*x) - 54 + 6*x**2 + 47 - 28*x**2 to z*x**2 + g*x + j and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000092284 rounded to seven dps?\nAnswer: -0.0000923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 78*z + 84*z - 195 = 177*z for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) be the second derivative of -5*q**3 - q**2\/2 + 3*q - 13. What is the derivative of l(t) wrt t?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-76)\/(-10) + -4)*15\/(-1). Let v be d\/21 + 52\/91. Let p = -86 + 87. What is the nearest to 2\/5 in -1, p, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mmhhmhhhhhhhhhh. Give prob of sequence mh.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 13, p: 3}. Give prob of sequence ppp.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000655703 rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 2*s - 3 = 4*w, w + 9 = 3*s. Calculate the remainder when 11 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.19 + -0.36. Let q = p + 0.25. What is the closest to -0.3 in 2, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 1, x: 3, f: 3, q: 6, u: 4, r: 2}. Give prob of sequence xx.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 214010275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zhn when three letters picked without replacement from {h: 3, n: 2, z: 1, e: 6}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00091818 to 5 dps.\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*d + 20*d - 2*u + 19 = 0, -4*u = 2*d + 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4 - 1. Let c = -201 - -335. Let l = -136 + c. What is the biggest value in x, 5, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3 - -19. Let c = -4 + 6. What is the first derivative of k - 7 - l**c - 11 wrt l?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38 a factor of 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dxddxx. What is prob of sequence ddx?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 15223 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 243 + -134. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 203*v + 2970166 + 10635349 = 588*v. What is the thousands digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = g**2 - 53*g + 183. Calculate q(34).\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -39.26 + 0.26. Let o = 48 + v. Let p(j) = j**3 + 15*j**2 - 16*j + 1. Let x be p(-16). What is the closest to 1\/3 in -5, x, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 2*h**3 - 6*h**2 - 4*h - 6. Let n be x(5). Let c = n + -40. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (36\/(-27))\/(120\/(-432))\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-248)\/(-12 - -4) + 3*52\/39\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 22, 41, 70, 115, 182, 277, 406?\nAnswer: 575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1 + 3. Suppose -2*p - 6 = 16. Let s be p\/33*6\/20. Sort z, 5, s in descending order.\nAnswer: 5, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -29 - (54 + (57 - 166))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 13*o**2 - 8*o - 20. Let f be r(8). Suppose -f = -4*j - 3*l, 4*j - 752 = -2*l - 0*l. Factor 165*u**3 - 4 - 15 - j*u**2 - 21 + 147*u - 407*u.\nAnswer: 5*(u - 2)*(3*u + 2)*(11*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -f**2 + 16*f - 11. Let b be d(15). Suppose -b*s + 21 + 11 = 0. Differentiate s - 3*w + 5*w + 0*w + 0 wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = 4*k - 98. Let u = 12 + 53. Calculate the remainder when u is divided by k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 863 and 1466982632?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 5731 and 5210?\nAnswer: 57310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = -22198801 + 11676782. Let m = u - -189346687\/18. Let c = 2760 + m. Calculate the common denominator of c and -59\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.103601*0.0409\nAnswer: -0.0042372809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 4 (b) -3 (c) 1 (d) -3.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is c5 - 3b4d?\nAnswer: -3a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*i**5 + 21*i**4 - 33*i**3 + 15*i**2.\nAnswer: -3*i**2*(i - 5)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1276, -1258, -1214, -1132, -1000?\nAnswer: -806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 7668 - 17913. Let i = r + 225469\/22. Calculate the common denominator of i and -33\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2\/8097 + 218581\/153843. Let r(h) = -53*h**2 + 3*h + 6. Let j be r(-6). Let q = j + 17342\/9. Find the common denominator of i and q.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 42*r - 125. Let w be g(3). What is the nearest to w in 20, 0.2, -0.07?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is p in p**3\/3 - 58*p**2\/3 - 280*p = 0?\nAnswer: -12, 0, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*u = -0*u. Suppose u = 4*p + 3*z - 165 - 240, 3*p - z = 294. What is the greatest common factor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -59.86 + 60. Which is the second smallest value? (a) -3 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 919464 is divided by 30638.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 7, j: 1, e: 5, a: 3, n: 3}. Give prob of sequence nngn.\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a be 20\/(-15)*(2 - -1). Let o be 66\/15 + a\/10. Suppose -4*r - 3*s = 15, -s = 5 - 0. Solve 2*p = 2*n - 7*n - 3, r = 5*p + n - o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 38 = -2*m, 5*m - 80 = -3*u + u. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1886702?\nAnswer: 2, 59, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y be -402*1*34\/(-4). Let h(w) = -y - 4683 - 2*w + 4*w - 3*w. Let o be h(0). Round o to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (6\/4)\/((-1)\/(-2)). Solve -7 = v*j - t, -5*t - 5 = -j + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2386*r**3 + 630*r**3 + 330*r**3.\nAnswer: 3346*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d = -2*f + 47486, -23374 = -5*d + 5*f + 35931. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be -9*2*(14\/4 - 3). Let o = 5073\/4 + -1278. Let k = d - o. Is -2 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = 4*q - 9. Let d be b(2). Suppose -69*z + 6 = -67*z. Put z, 1, -4, d in increasing order.\nAnswer: -4, d, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2903 - 683. Let o = u + -1021. Is o a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -2*d - 3. Let c(h) = 4*h + 4. Let q(w) = -3*c(w) - 5*v(w). Suppose 0 = 3*s + s - 12. Suppose s*m + 9 = -9. Give q(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-468)\/(-63))\/((-748)\/2618)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -2718.48975 - -12136.\nAnswer: 9417.51025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -62, -5, 10, -7 in increasing order.\nAnswer: -62, -7, -5, -4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 2*g**3 + 4*g**2. Let l = 431 - 425. Suppose 4*j - m = 14, 0 = 2*j - 4*j + m + l. Let z(v) = -2*v**3 - 3*v**2. Determine j*r(p) + 5*z(p).\nAnswer: -2*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -40584 greater than -40588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -62.8 (b) -0.49 (c) 5 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 26035 and 820?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 5971379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3 - 14. Let w = 24 + l. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3127 or 3126?\nAnswer: 3126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = 7184620.000698 + -7184802. Let a = w + 182. What is a rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 51448 = -2088*q + 2960*q for q.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 15647 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) be the second derivative of -5*m**7\/42 + 5*m**6\/6 + 13*m**5\/4 + 35*m**4\/12 - 87*m - 1. Factor y(r).\nAnswer: -5*r**2*(r - 7)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 224*f - 28. Let r be o(3). Let w = 849 + 447. Suppose -4*c + 2*p + w = -0*p, 2*c = 3*p + r. Is c a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/14, -1\/5, 309.\nAnswer: -1\/5, 1\/14, 309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -28*z - 284. What is the lowest common multiple of l(-13) and 6?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) be the first derivative of -39 + w**3 + 1\/4*w**4 - w**2 + 4*w. Suppose h - 3 = -7. What is u(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (((-40)\/12)\/(-2))\/(19175\/(-390))?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23 + 3*m**2 - 39 + 109.\nAnswer: 3*m**2 + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00012486 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b be 12\/1*((8 - 4) + -1). Suppose 21*w = 15*w - b. Let m(q) = -q**3 - 7*q**2 - 6*q. What is m(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4 + 6. Let a(t) = 3*t - 2*t - n*t + 0*t. Let k(o) = -4*o**2. Calculate k(a(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -74 + 79 + (1 - 11) + -5 + 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*n = -0*n - 2992. Calculate the greatest common factor of n and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.1, 155\/16, -8\/3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 16683272 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:55 PM and 4:54 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = -376 + 516. What is the lowest common multiple of v and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*b + 20, -4*w = 34*b - 33*b - 18 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 2*n - 45 = -241, 5*c = -4*n - 258. Let i = c - -42. Let u be ((-4)\/(-3))\/(i\/12). What is the biggest value in 4, u, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*z**2 - z**3 - 3*z**2 - 2 - 4*z**2 + 9*z**2 - 2*z in the form n + d*z**2 + q*z**3 + j*z and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:59 PM and 2:09 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-124)\/155*(-1)\/(-2)*1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or -15\/266?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(171) + (1 + sqrt(171))**2*-4.\nAnswer: -688 - 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*c**2 + 3336*c - 32219520.\nAnswer: 3*(c - 2768)*(c + 3880)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 3\/7, -20, -107309 in descending order.\nAnswer: 3\/7, -20, -107309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -v + 1. Let g(r) = -3*r - 2 + 1 - 2 + 1. Calculate -c(x) + g(x).\nAnswer: -2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = -4*h - 2. Suppose -2*w + 2*b + 4 = 0, 3*w + 0*w - 4*b = 8. Put 3, h, w in ascending order.\nAnswer: h, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 38*l**6 + 5*l**2 - 3 - 17*l**2 + 3 wrt l.\nAnswer: 4560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -27745 divided by -6\nAnswer: 27745\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o be 10137 + (2\/(-10) - 13\/(-65)). What is o rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -29*x**3 - 4556*x**2 - 473*x - 314. Determine j(-157).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = 10 - 8. Calculate the highest common factor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -2 and -0.153.\nAnswer: 0.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*y - 5*i - 1 - 9, 3*y - 5*i - 10 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) be the first derivative of 18*a**2 - 215 + 16\/5*a**3 + 1\/5*a**4 + 216\/5*a. What is h in r(h) = 0?\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 1\/3 - 112\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -1817*-0.1\nAnswer: 181.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ayja when four letters picked without replacement from {j: 3, x: 4, y: 1, a: 8, b: 3}.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 46 divide 4241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 3*q - 2. Let i(f) = 4*f - 3. Let h = -11 + 9. Let n(b) = h*i(b) + 3*d(b). Let l(u) = 31*u**2. Give l(n(y)).\nAnswer: 31*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -291*o**5 + 16*o + 5?\nAnswer: -5820*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) be the third derivative of i**5\/15 - 53*i**2. Let y(t) = -16*t**2. Give y(r(o)).\nAnswer: -256*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 1376474, 1376561, 1376648, 1376735, 1376822, 1376909?\n\"Answer: 87*l + 1376387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 10330*v**2 - 11*v + 3. Let o be l(-3). Suppose o = 14*f + 4*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) 331\/57 (b) -5 (c) 0.5 (d) -4\/7 (e) 1 (f) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-20)\/(-2) - (2 + -2). Suppose 0*z + 2*z = v. Find the second derivative of j**z - j - 6*j**3 + 6*j**3 wrt j.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -15068966*t**3*y**4 - 2*t**3*y**2 + 3950*t**3 - 625*t*y wrt y.\nAnswer: -180827592*t**3*y**2 - 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 27.22*3\nAnswer: 81.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*(m\/m**(1\/15))\/m*m)\/(m*m*m**(1\/2))*((m*m**(1\/5))\/m*m*m)**(-19\/3) assuming m is positive.\nAnswer: m**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + -2 + -3 - (-134 - -126).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -24943 + 34746. What is the thousands digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = h - 2. Let y be (-19)\/2 - 13\/26. Calculate s(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13894829 is divided by 448220.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -2*m + 2. Let v = 245 - 216. Let t(i) = -5 + 35*i + v*i - 61*i + 0. Determine 5*g(r) + 2*t(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 33.647 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 7052 and 5248?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1405997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c\/c**(-2\/7))\/c)\/(c**(-1\/2)*c))\/(c\/(c*c\/((c*c**(-2\/3))\/c)*c))**(-4\/17) assuming c is positive.\nAnswer: c**(-601\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 2, j: 4}. Give prob of sequence ccjj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2037?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((sqrt(156)\/(-6*sqrt(300)) - (sqrt(208)*1 - -2*sqrt(39)\/sqrt(3)))*-5)**2.\nAnswer: -425893\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -2*m + 6. Let j(s) = -s + 1. What is -3*j(x) + q(x)?\nAnswer: x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2, 24, 82, 178, 318, 508?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4713067\/71 or -66380?\nAnswer: -4713067\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 0 + 12 + (3 - -3 - 9) + 0\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*x - 2*q - 110 + 78 = -72, -2*x + 43*q + 71 = 0 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*c - 3*x + x - 19, 2*c + 2 = 2*x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 793585 a multiple of 510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -z + 5. Let b(y) be the third derivative of 0*y + 1\/3*y**z + 0 + 2*y**2 - 1\/30*y**5 + 1\/12*y**4 - 1\/60*y**6. Let b(d) = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 35*h + 4. Let k(m) = 6*m**2 + 23*m + 21. Let w be k(-1). Let b(f) = 420*f + 49. What is w*b(d) - 49*t(d)?\nAnswer: -35*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -17921*u*x**2 + 17*x**2 + 4*x + 2 with respect to u.\nAnswer: -17921*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -z**3 + 7*z**2 - 6*z - 7. Let m = 309 + -300. Let i be 7 + ((-36)\/m)\/4. Give s(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = q - s, -4*q = 5*s - 3650 + 3658. Sort -5, -1, 0, q, 5.\nAnswer: -5, -1, 0, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.287 - 1334.287. Let h = -1279.9 - r. What is h rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) be the third derivative of -d**7\/210 - d**6\/360 - 5*d**3\/6 - 2*d**2. Let y(n) be the first derivative of m(n). Find the third derivative of y(q) wrt q.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -56, -5, 12 in increasing order.\nAnswer: -56, -5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -6*i + 223*i**2 + 226*i**2 - 73*i**3 - 450*i**2 as a + w*i + k*i**3 + z*i**2 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 18 - 1 = 2*s + x, 5*s - 9*x - 77 = 0 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 874861542 <= 874861542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 - 8 = b. Let l(r) = -2*r**2 + 4. What is l(b)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -69*w + 21*w - 223*w - 36192 = 145*w for w.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -32115, -64237, -96361, -128487, -160615, -192745?\n\"Answer: -c**2 - 32119*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/(16\/(-3)))\/(141669\/(-954))?\nAnswer: -1\/198","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/3, -0.2, -987, 220.\nAnswer: -987, -0.2, 2\/3, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 6 - 8 + 2*c + 2 as v + d*c and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 3465535173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1 + 2. Let q = 7 + -5. Suppose -h*m + 5*m - 20 = q*f, 5*m - f - 34 = 0. Calculate the greatest common factor of 15 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 8 - f**2 - 3*f + f - 2*f. Let w(x) = -3*x + 9. Let s be w(3). Suppose s*u - 8*u = 48. Calculate n(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:00 PM and 6:02 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 42790*b + 12557. Is i(18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13153 at least 13153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5799 + 5797.1. Which is the closest to 0? (a) -29 (b) -4 (c) x (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 79\/168 - (-3)\/(-126)*4.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - 29 - 35 = 0. Suppose 4*z - 5*z - 12 = 0. Let n = s + z. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from aavnnana. Give prob of sequence vnn.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q**2\/13 + 194*q\/13 - 5236\/13 = 0. What is q?\nAnswer: -119, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*u = -3*m - u + 1450, -4*u - 968 = -2*m. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1229, -1228, -1227?\nAnswer: -1226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1441 - -2664. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1912585.77 rounded to the nearest one thousand?\nAnswer: -1913000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 2390*x - 244530 = -2056*x for x.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 25310171 to the nearest integer?\nAnswer: 5031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 10*o - 39. Let d be g(6). Let k be 4 + d\/(-7) - 4\/(-1). Solve q = -0*q - k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.71 and -1428982.\nAnswer: 1014577.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3148, 12571, 28272, 50251?\nAnswer: 78508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = g**3 + 9*g**2 + 5*g - 7. Give s(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*m + 7*m + 100. Let w = m - -15. Sort w, -2\/3, 0.4 in ascending order.\nAnswer: w, -2\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find b such that -2*b**2 + 4952*b = 0.\nAnswer: 0, 2476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 501*g + 1130*g + 1 - 191*g. Let a be b(1). Let d = a - 241. Round d to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 32329948 is divided by 58.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Are 1 and 196\/191987 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/4? (a) -0.4 (b) 105 (c) -19 (d) 0.3 (e) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in -149, 26, 3, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 83*k + 3978 - 2982 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.504881875 to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = -19 - -40. Let x(a) = -5*a - 244. Let q be x(-47). Let r = q + s. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*y + 83 = -12. Let m(g) be the first derivative of -3\/2*g**3 - 3\/10*g**y - 9\/8*g**4 + 0*g - 3\/4*g**2 + 2. Suppose m(b) = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 115 - (33 + -68 + 52).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Are 1\/11509949 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 87\/18074 and -69\/3248.\nAnswer: 4193168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = 2*o**2 - 5*o + 21. Let f be d(6). Suppose -7 = -m - 23. Let i = m + f. List the prime factors of i.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8 + 4 - 3 + 14*u**3.\nAnswer: 14*u**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -18488*i**3*r**2 + 143*i**3 + i*r**2 - 5232*i - 2*r**2 - 4*r wrt i.\nAnswer: -110928*i*r**2 + 858*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = -51 - -40. Let s(c) = c**2 - 6*c + 6. List the prime factors of s(o).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2.4 - -9.6. Let n = k + -12.07. Let x = n + 0.0786. Round x to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 301 + -306. Which is the nearest to -0.1? (a) f (b) -15 (c) -3 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0003466036 to 7 dps.\nAnswer: 0.0003466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z**3\/19 - 60772*z**2\/19 - 23353720*z\/19 - 2258009456\/19 = 0 for z.\nAnswer: -29998, -194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 1 = 4. Let q(j) = 97*j**2 + 4*j + 2. Does 19 divide q(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 11440593 + -5240593. Round i to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -z**2 - 27511767*z - 27511766.\nAnswer: -(z + 1)*(z + 27511766)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*f - 8 = 2*f. Let x(i) = -i**3 + 1. Let n(l) = -5*l**3 - 2*l**2 - l + 6. Calculate f*n(a) + 6*x(a).\nAnswer: -a**3 + 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:32 PM and 9:38 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 5, y: 1, j: 3, w: 1, i: 2}. Give prob of picking 1 q and 1 w.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 2*k**2 + 3*k + 2. Let r(n) = 2*n - 37. Let i be r(17). Calculate u(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (255 - 112) + -135 + 1 + 25 + 0?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -11*h + 0 + h - 1. Let x be 1\/1 - 5*2\/5. List the prime factors of z(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 10470*f**2*g**2 + 7361*f**2*g + 5*f*g**2 - 2*g wrt g?\nAnswer: 20940*f**2 + 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 8740.9 to the nearest 100.\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -1, -0.058, -0.26?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/9, -0.05, 3, -0.15 in increasing order.\nAnswer: -0.15, -1\/9, -0.05, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 2 + 2 + 81\/(-7) and 53\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -22 divided by 671?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 1 - (11 + (-4 - 0)) - (95 + -72)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -321, -322, -325, -330, -337?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*x**4 + 196*x**3 - 296*x**2 - 3664*x - 4512.\nAnswer: -4*(x - 47)*(x - 6)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a**2\/7 - 654*a\/7 - 9360\/7 = 0. What is a?\nAnswer: -312, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1 + 212010111020222001?\nAnswer: 212010111020222002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 233262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1720 - 1728. Let n(c) = 1 + 4 + 6 - 6*c**2 + 5*c. Let i(d) = 4*d**2 - 3*d - 7. Determine r*i(x) - 5*n(x).\nAnswer: -2*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n - 1296 = -5*o, o - 1520 + 1293 = 5*n. Is 23 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -422 - -4651\/11. Let v = 714.6 + -714.2. Which is the third smallest value? (a) 2 (b) v (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -2*l**2 - l - 4. Let m(q) = -q**2 - q - 4. Let a(h) = -4*c(h) + 4*m(h). Let k(j) = -3*j + 6. What is k(a(s))?\nAnswer: -12*s**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -2.2, 8, -3, 0.1, 0.02, 32.4 in decreasing order.\nAnswer: 32.4, 8, 0.1, 0.02, -2.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c = 0, 0*c - 20 = -4*l - c. Suppose 2*o = -3*x + 3, 2*o + 12 = l*x + 3*o. Solve -3*y - x*d = 24, -49 + 12 = 5*y + 4*d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-210)\/(-168)*(-24272)\/(-410).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -413 - -513. Calculate the remainder when t is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -20*q - 135. Let m be n(-8). Let k be 0\/(4\/12*3). Which is the nearest to -1? (a) k (b) m (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/17 in -3, -2\/17, 3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -i**3 + 6*i**2 + 7*i + 5. Let g be z(7). Suppose -2*v - g*l + 4*l - 5 = 0, 3*l + 15 = 3*v. Let t = v - 10. Are -10 and t non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 19 = 2*r + 14, -3*r - 5*h + 13 = 0. What is the smallest value in -2\/9, r, -0.3, -3\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -12 - -8. Let u(y) = 2*y**2 - 2*y + 1. Let s be u(2). Suppose 108*f - 111*f = 3*h - 21, -3*f - 14 = -4*h. Sort s, f, d, -5 in ascending order.\nAnswer: -5, d, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = -65 + 17. What is the least common multiple of j and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-4)\/(-5)*(-175)\/(-14). Let v(z) = -2*z**3 + 3*z - 3. Let f be v(-2). Let o = c - f. Solve -4*i + o + 5 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (5\/15)\/(-7 - 210\/(-27)). Factor -m*u**3 + 0*u - 1\/7*u**5 - 3\/7*u**4 + 0 - 1\/7*u**2.\nAnswer: -u**2*(u + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 4) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 549230616 and 4048?\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 1610, 3206, 4802, 6398?\n\"Answer: 1596*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -6*c**3 + 4*c**2 + 16*c - 1. Calculate n(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 4 - -685877?\nAnswer: 685882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 676409854.\nAnswer: 2, 131, 179, 14423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(((-2*sqrt(190)*4)\/sqrt(10) + -4)**2 - (-3*(sqrt(228) + 1*sqrt(228) + sqrt(228) + sqrt(228)))\/(sqrt(588)*-1)).\nAnswer: -7392 - 2616*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 8931, 8935, 8949, 8979, 9031, 9111, 9225?\n\"Answer: b**3 - b**2 + 8931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = -3*l. Factor -8*z**4 + l*z**5 - 8*z**5 - 10*z**4 - 2*z**2 - 8*z**3 - 4*z**3.\nAnswer: -2*z**2*(z + 1)**2*(4*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -16 - -19. Let l be 3*(4\/h - 1). Let g(q) = q**3 - 7*q**2 + q - 1. Let j(y) = y**3 - 6*y**2 + y - 1. Let p(o) = -5*g(o) + 6*j(o). Calculate p(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 16422814*y**3 - 46164412?\nAnswer: 49268442*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 + 19 - -1 - 12 - -1) + 28?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 18 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = -284 + 288. Which is the second smallest value? (a) 2 (b) -0.9 (c) -4\/3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-48)\/2592*14\/49*-1*7?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0 (b) 0.14 (c) 2\/19 (d) -4\/5 (e) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = -14 + 5\/2. Let b = 2\/35 - 491\/630. What is the common denominator of b and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 5661 and 78.5367.\nAnswer: 5739.5367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 1, t: 2, r: 6, e: 3}. What is prob of picking 1 r and 1 e?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cfccccffcfcccccft. Give prob of sequence fc.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 68551057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-15)\/10*(-2 + 0). Suppose 0 = g*k + 4*w - 6, -k = -6*k - 2*w + 10. Solve -k*h - 3*v = -8, h - 5 = -4*v - 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -21413580 to the nearest 100000.\nAnswer: -21400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 37615154?\nAnswer: 2, 18807577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = h + 5. Let c(d) = -d**3 + 5*d**2 + 6*d + 6. Let y be c(6). Suppose -3*l + y = -9. Give m(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11546657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 58930 and 2670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 404 - 400. Suppose -2*l + 76 = 2*v, -6*l - 128 = -4*v - q*l. Calculate the highest common divisor of 119 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:38 AM and 6:05 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7)\/((-28)\/12)*6\/(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1 + (2 - (-14)\/(-2)). Let f be ((-9)\/21)\/((-4)\/(-63))*12. Let r = -85 - f. Is j != r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5 - 592*l**2 + 8*l + 5 + 0 - 10*l to the form c*l + u + y*l**2 and give y.\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:50 AM and 9:12 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 5*z**2 - 2*z + 41. What is the least common multiple of n(5) and 14?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = i + 12. Suppose 7 = -c - 0*c. Let h be u(c). Put h, -2, -1 in descending order.\nAnswer: h, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -8, -25, -2, -5, 65 in descending order.\nAnswer: 65, -2, -4, -5, -8, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 5749998*s + 5. Let k be g(4). Suppose 3*r = -2*b + k, -5*b = r + 4*r - 57499995. What is b rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -4.293477332 to 1 decimal place.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 1475163 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -99 and -4501650841?\nAnswer: 4501650742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -23 + 30 - (16 + 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -110382*b**3*u**3 + 2*b**3*u**2 - 677*b**3 + 3*b**2*u**5 - 2*b**2*u**2 + 18*u wrt u?\nAnswer: -662292*b**3 + 180*b**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 17 - -8337?\nAnswer: 8355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 3, 5, -3\/4, -0.26?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -152707 + 217440. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:28 PM and 12:43 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44*q - 3 = 50*q - 191. Factor 0 + 3\/4*z**q + 0*z.\nAnswer: 3*z**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 0 - -12100212?\nAnswer: 12100212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 184813 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: Suppose 22*p - 25*p = 3*n + 9, 2*n + 18 = 4*p. Which is the nearest to 8? (a) -0.6 (b) -0.2 (c) 5 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 85*u - 5*n = 81*u + 35, -7 = u + 4*n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = a**2 + 6*a + 11. Let v(i) = -1. Let t(w) = -2*v(w) - z(w). Let q be t(-3). Suppose -2*r - 3*o + 155 = q, -4*o - o - 110 = -r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3715609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-136)\/5780)\/((-2)\/(-10)) - (2436\/17)\/6?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1839550058?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put together 2778720 and 5611.\nAnswer: 2784331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = 61 + -37. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -f**2 + 1. Let b(p) be the first derivative of -p**3 + 7*p + 86. Determine b(u) - 6*s(u).\nAnswer: 3*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-20381*t**2 + 20381*t**2 - 128*t**3 + 2 + 6*t**3 - 2 + (-2*t**2 + t**2 - t**2)*(0*t + t + 0*t))*((-t - 3 + 3)*(1 + 2 - 1) + 0*t - 2*t - 3*t).\nAnswer: 868*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -471*d**3 + 2*d**2 - 8*d - 20. Let j be g(-3). Suppose -17*b = -13492 - j. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = i**2 + 26. Let s be t(0). Suppose 0 = -2*a - 22 - s. Let c = 53 + a. What are the prime factors of c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (sqrt(11) - (sqrt(11) - 1*sqrt(1100))) + 4*sqrt(396) + -1)**2*6.\nAnswer: 1632*sqrt(11) + 76392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 876.3592 years in millennia?\nAnswer: 0.8763592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34*w - 28*w = 138. Suppose 24*j = w*j - 26. Which is bigger: -27 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -39*f**2*q*u - 2*f**2*u**2 + f*q*u**2 - 56*u**2 - 3*u with respect to q.\nAnswer: -39*f**2*u + f*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 13*l + 2. Let r(q) be the third derivative of -13*q**4\/6 - 3*q**3\/2 + 2520*q**2 + q. Determine -9*d(t) - 2*r(t).\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 504.3622 days to seconds.\nAnswer: 43576894.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.15 times 80?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -p**2. Let h(z) = 280*z**2 + 336*z**2 - 10*z - 137*z**2 + 4*z. Give h(x(a)).\nAnswer: 479*a**4 + 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is ((-8)\/(-6))\/((-2)\/(-18)) - ((-28215)\/(-243) - 101)?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.6 + -0.1. Let h = 35\/104 - -1\/26. What is the third smallest value in 0.3, v, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 909022 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*o**4 - 151*o**2 + o**4 - 203*o**2 - 20*o**3 + 4*o**4 - 5*o**4 wrt o?\nAnswer: -48*o - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l**4 + 475*l**3 + 11350*l**2 + 45000*l = 0. What is l?\nAnswer: -450, -20, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = 99 + -99.5. What is the fourth smallest value in -4, -1, z, -8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -9, -391, 2\/15?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -721*i*p**3*u - 56*i*p**3 - 28*i*p**2*u - i*p**2 + 2*i*u + p**3*u + 6*p**3 + p**2*u + 2*p - 7950*u wrt p?\nAnswer: -4326*i*u - 336*i + 6*u + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 3049.843 kilograms to micrograms.\nAnswer: 3049843000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -48949, -48990, -49013, -49012, -48981, -48914?\n\"Answer: f**3 + 3*f**2 - 57*f - 48896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -11 - 13 = 4*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 3*b**2*j + 58*b**2 - 67*b*j**2 + 8445*j**2 wrt b?\nAnswer: 6*b*j + 116*b - 67*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1.3 and 314.7?\nAnswer: -409.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -410*j + 426*j = 28240. What are the prime factors of j?\nAnswer: 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1.2, 3\/8, 1, -8, 1\/5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 4740 - -841?\nAnswer: 5481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r = 286*m - 291*m - 29, 5*r - 30 = 4*m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 214 + -5?\nAnswer: 20c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 4*k - 12 = -32, 0 = 2*o + k. Suppose o*h = s + 13, 3*h - 4*h = -4. Let a(j) = -4*j - 6. Let y(z) = -5*z - 7. What is s*y(x) + 6*a(x)?\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 80 divided by -5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert -11161 (base 9) to base 13.\nAnswer: -34c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = t**2 - 1. Let i(a) = a**3 + 4*a**2 - 1. Suppose -328 = -28*l + 624. Suppose l*d + 3 = 37. Determine d*i(h) - 2*s(h).\nAnswer: h**3 + 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3.91 and -0.5.\nAnswer: 1.955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**26*x\/(x\/(x**(-6)\/x)) assuming x is positive.\nAnswer: x**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 514591 is divided by 73?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-15)\/(-57))\/(265\/36252)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 685 - 1325\/2. Solve 3\/2*j - 3 + d*j**2 = 0 for j.\nAnswer: -2\/5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -k = -v + 3 - 14, 4*v = -20 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 19567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 3*z = 0, 8 = 3*z - z. Suppose -i = 2*r + 2, -r - 4 = 2*k. Which is the nearest to k? (a) 2\/11 (b) -5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = q**3 + 4*q**2 - 50*q - 144. Determine n(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.1 and -226657.\nAnswer: -22665.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fnnnnnffffnnnfnnnnn. Give prob of sequence fnn.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -j**2*p**2*q + 7*j**2*p**2 - 2*j**2*p*q - 3*j*p**2*q + 2*j*p*q - 45*j wrt j.\nAnswer: -2*p**2*q + 14*p**2 - 4*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n - 23 = -4*d - 3, -4*d + 2*n = -20. Suppose 2*q = -d*y - 8, 0 = 4*y - 4*q + 5*q + 7. Let k = y - -4. What is the remainder when 4 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 6) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) be the second derivative of -n**3\/6 - n**2 - 56*n - 2. Calculate j(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 <= 2\/5943039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*l = -2347 - 13316. Is l a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -13687 - -15981.9. Round t to the nearest 10.\nAnswer: 2290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 54*a - 520 = 34*a - 45*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - g = -4*r - 24, -5 = r. Let w be (2 - g) + -92 + 1. What is the units digit of (w\/3)\/(6\/(-16))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 73 - 65. Suppose 60 = -2*f + j*f. Find the first derivative of f*h - 5*h - 698 + 746 wrt h.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.64, 4, -2?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d be 105\/10 + -9 - (-1026)\/(-680). Let a = 523\/68 - d. Calculate the common denominator of a and 43\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-16)\/(-152) - (-4140)\/19. Let l = n - -658. What are the prime factors of l?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -1. Let j(h) = -h + 2. Let b(v) = j(v) - 6*k(v). Let c be b(6). Solve 0 = m + 3*m - c*z - 10, z = -5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 699.1064 nanograms to grams.\nAnswer: 0.0000006991064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -49*y + 42*y - 21 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m - 2*k - 91 = -7, -5*m = -5*k - 75. What is the least common multiple of (-4)\/(-48)*2 + 159\/m and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 5 + -1360?\nAnswer: -1355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -398 - -294 - (-99 + 4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*z**4 + 149034*z**3 - 661*z**2 - 7*z - 2 wrt z?\nAnswer: 48*z + 894204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*x - 2*x + 0*x)*(6*x**2 - 6*x**2 + 9*x**2) - 5*x**2 + x**3 + 5*x**2 + x**3 + 0*x**3 + 0*x**3.\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p - 6138 - 1122 = -2*c, c - p - 3624 = 0. What is the greatest common divisor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*s - 12 = -4*c, 11 = 2*c - s + 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 6*r**3 - 2*r**2 + r - 3. Let v(k) = -1. Let d(m) = f(m) - 3*v(m). Let i be d(1). Suppose 175 = 3*q - 5*s, 85 - 358 = -i*q - s. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -o**2 - 4*o + 1. Let v(h) = -3*h**2 - 13*h + 3. Let f(t) = 2*v(t) - 7*z(t). Let u be f(-3). Suppose -u*r + 23 = -9. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 2, 3\/2 in decreasing order.\nAnswer: 2, 3\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 4*r**2 - 15*r - 5. Is 8 a factor of p(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 3*b = 1114. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 203096278369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(297) - sqrt(33))\/(sqrt(15)\/sqrt(5)*2 - sqrt(3)).\nAnswer: -16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/(-3)*4082\/(-642915)?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*u - 2*u - 2*u)*(-7 - 2*u**2 - 70 + u**3 + 112).\nAnswer: -u**4 + 2*u**3 - 35*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 115009.\nAnswer: 47, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 70527*h - 600 - 4*h**2 - 70527*h + h**2 as s + n*h**2 + o*h and give s.\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -1\/9, 15, 5, 0.0259 in descending order.\nAnswer: 15, 5, 0.0259, -1\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 261 = -12*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.06 in 0.2, 4, 0.0238?\nAnswer: 0.0238","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-3 - (-75585)\/(-15))\/(0 - 2). Solve -u*g = -2528*g - 21 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*y - 50*y**3 + 2*y**4 + 47*y**3 - y**4 + y - 2 + y**2.\nAnswer: (y - 2)*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/50 of a millimeter in micrometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 136*i = 127*i + 365076. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 5, 2\/189 in descending order.\nAnswer: 5, 2\/189, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = -30340\/14559 - 178\/211. Let k = 6\/23 + d. Let l = -2250 + 2248. What is the third biggest value in -2\/3, k, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00560283 to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1 + (0\/1 - -1). Suppose -18*s - 3*s = -42. Calculate the highest common factor of s and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4117910 to the power of 1\/2, to the nearest integer?\nAnswer: 2029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 340 - 17?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 4.735698 kilometers to nanometers.\nAnswer: 4735698000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*t + 95 = 4661*x - 4659*x, -t - 215 = -5*x + 4*t for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand -8*t**5 - 6*t**2 + 6*t**2 + t**5 - t**5 - 2*t**5 + (-1 + 1 - t**2)*(0*t**3 - 4*t**3 + 5*t**3) + t**5 + 2*t**5 - 2*t**5 - 1 + 1 - 2*t**5.\nAnswer: -12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) be the second derivative of 0*k**3 + 0 - 11\/12*k**4 + 0*k**5 - 11\/30*k**6 - 4*k + 0*k**2. What is the third derivative of o(p) wrt p?\nAnswer: -264*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(3300) - (sqrt(3300) - (sqrt(3300) + (sqrt(3300)*-3 + sqrt(3300) - sqrt(3300)))) - sqrt(3300)) + sqrt(33))\/(2*sqrt(3)*-1).\nAnswer: 29*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = 29770*n - 119795. Determine h(4).\nAnswer: -715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 1302230310 (base 5) to base 12.\nAnswer: 1087347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-6)\/(1\/((-4)\/6)). Let m be (16 - -6) + (-1 - -1). Suppose a*o - 2*o = m. What is the least common multiple of o and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 76*z = 17*z - 899 - 104 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 87 in 0, -3\/2, -0.07?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -14*g**2 + 111*g - 988. Let s(h) = h**2 + 18*h. Let k(t) = 6*s(t) - y(t). What is the first derivative of k(b) wrt b?\nAnswer: 40*b - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2 + 0 - 4)*(-338*o - 200*o - 5615*o) in the form a + p*o and give p.\nAnswer: 12306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*s**6 - 25699*s**5 - 2*s**3 + 149*s**2 + s - 89?\nAnswer: 240*s**3 - 1541940*s**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 17 (b) 2 (c) -5 (d) 5944 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 20, -5, 1\/6, -16, -0.2, -3 in ascending order.\nAnswer: -16, -5, -3, -0.2, 1\/6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -19*b + 90*b**2 + 33*b - 42*b - 65*b**4 - 32*b. Let w(y) = 11*y**4 - 15*y**2 + 10*y. Let f(k) = 6*d(k) + 35*w(k). Factor f(u).\nAnswer: -5*u*(u - 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -1986, -1987, -1988, -1989, -1990, -1991?\n\"Answer: -t - 1985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 126\/(-162)*12\/14.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round -2704.47 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6 - -13) + 5 + (10 - 15).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3962174 and 954?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:16 PM and 9:55 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 241797380801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*(t**4*t)\/t)\/t*t)\/t*t**(-2)\/t*(t*t*t*t\/((t**(-5)\/t)\/t*t*t)*t*t)\/(t\/t**(1\/6)) assuming t is positive.\nAnswer: t**(67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 5*z**2 - 29*z - 133. What is the remainder when 829 is divided by m(12)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14631666 is divided by 14631614?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = -5*k - 83, -76 = k - 5*i - 54. Which is smaller: -48 or k?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -215434021 + 4?\nAnswer: -215434013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 3 (b) 2\/5 (c) 0.8 (d) -274\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-26)\/12 - (-2)\/3)*(142 + (-175296)\/1245).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + 3*t - 2004 = 0, -t + 2*t = 0. Suppose -m = d + 13998. Round m to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 170657633, 170657627, 170657617, 170657603, 170657585?\n\"Answer: -2*d**2 + 170657635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -1. Let n(w) = 14 - 7 - w - 12. Give n(z) - 5*p(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (132\/(-737))\/(-6)*55\/(-6) and -21\/268.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*o**5 - 3*o**5 - 4*o**5)*(-4 + 0 + 3).\nAnswer: 5*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply -866 and -2.7.\nAnswer: 2338.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 432882765 is divided by 11244.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-5 - 204\/(-45)) + (-2)\/(-5) and -62\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 11*m**2 - 37*m + 161. Let u be w(11). What is the greatest common factor of 31 and u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -245, -377, -509, -641?\nAnswer: -773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 36767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = r - 4*v + 2, 38 = -3*r - 5*v. Let d be 33\/(-9) + 2\/r. Let i = d + 1. Sort i, -2, 5 in descending order.\nAnswer: 5, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 319*j**3 + 6*j**2 - 13*j + 6. Let o be a(7). Suppose 317213 = -2*t - 102039. Let h = o + t. Round h to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -89\/2046 and 29\/3410.\nAnswer: 10230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -3.273753 to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 = 4*r - 2*s, -2 = 2*r + s + 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 246 = 5*u - r + 278, -84 = -3*u - 8*r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 128 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + -3*(sqrt(1584) + sqrt(1584)*-3) - (-1 + sqrt(1584)*4 + -2))**2.\nAnswer: 144*sqrt(11) + 6345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -22.0335 - -22.05. What is the smallest value in 4\/3, 4, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 times -18.47561\nAnswer: -92.37805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3 + 514*p**2 - 16*p**3 + 764*p**2 - 1395*p**2 to the form h*p**2 + g*p + f*p**3 + w and give h.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 75c8 (base 13) to base 9.\nAnswer: 24428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 - (-3 + (0 - 1) - (-22 + 16))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.5 - -1. Let f = -0.5 + z. Let o = -0.07 - -3.07. What is the nearest to f in o, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 8 - 4 - 81*o + 0 + 6. Suppose 5*i + 36 = i. Is p(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2210332 (base 4) in base 9?\nAnswer: 15431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u + 4*k = -2*u + 364, 3*u = -3*k + 534. Let g = u - 47. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10747 = 3*k + 46. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 26\/77 and (-68)\/(-6)*(61\/(-21) - -3).\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -45.8 + 46.7. What is the closest to -0.1 in 3\/2, -2\/9, j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 40194475 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1 + -483564a0?\nAnswer: -4835649c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 236 minutes before 1:08 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -1\/4, 5\/9, -1\/7, 1.\nAnswer: -4, -1\/4, -1\/7, 5\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 2*q**2 - 9*q. Let m(w) = -38*w - 121*w + 135*w - 12*w. Give u(m(r)).\nAnswer: 2592*r**2 + 324*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -3*r + r**3 + 71*r**4 - 17*r**4 + 45*r**4 + r**3 + 1 + 15*r**4 as t*r + y*r**2 + a*r**3 + v + q*r**4 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand f - 1 + 1 + (3 - 3 - 4*f)*(-1 + 2 - 2) + (-4*f + 7*f - 2*f)*(-12 + 40 + 100).\nAnswer: 133*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h\/(h**1\/h))\/h)**50)**(-1\/16)*(((h**(-2\/5)*h)\/h)**2)**21 assuming h is positive.\nAnswer: h**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 138\/207*(15 - 3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find t, given that -3*t**5 + 6*t**4 + 18*t**3 - 60*t**2 + 57*t - 18 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -37866, -75719, -113562, -151389, -189194, -226971, -264714?\nAnswer: -302417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 21*c**3 - 2*c + 1. Let h be w(1). Suppose h = -0*s + 2*s. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p**4\/3 - 358*p**3\/3 + 6230*p**2 - 77598*p + 131220 = 0. Calculate p.\nAnswer: 2, 15, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from aaggaaa?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 123 is divided by 12 + (5 - 7) + (-2 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -53 + 53.2. Let i = -0.3 - -5.3. Which is the closest to -0.2? (a) q (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:44 PM and 3:02 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 3*a + 9. Let g be l(-8). Does 14 divide 5*38*(-3)\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -794, -791, -790, -791, -794, -799, -806?\nAnswer: -815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 416*y**2 + 140 + 38*y - 38*y - 140.\nAnswer: 416*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) be the second derivative of b**7\/105 + 2*b**6\/75 - 32*b**5\/25 - 29*b**4\/3 - 15*b**3 - 1781*b + 2. Solve n(g) = 0 for g.\nAnswer: -5, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 130147 - 260297\/2. Suppose 4 = 4*j + 188. Let i be (2\/(-3))\/(j\/(-6)). What is the nearest to 0.1 in x, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**0*h)**(-6\/7))**9*h*h\/(h\/h**(-1\/3))*h**2*h**(-3\/4)\/h**(-1\/6) assuming h is positive.\nAnswer: h**(-473\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 1 = -s + 3, -m + 4*s - 16 = 0. Let w be (2 + m)\/(20\/(-6)) - -1. Which is the fourth smallest value? (a) w (b) -0.2 (c) 11 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d + 0*d + t - 1 = 52, 56 + 35 - 116 = -5*t for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:37 PM and 8:49 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b be (117\/(-52))\/((54\/80)\/(-9)). Let n = b + -13. What is the remainder when n is divided by (-1)\/5 + (-102)\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -130 = -4*b + 7*x - 10*x, 4*b - 2*x = 140. Let p = 2 - -1. Suppose -d + 5*y - 3*y = -5, 4*y + 19 = p*d. What is the remainder when b is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -42795 less than -558.421?\nAnswer: 42236.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 3*x**2 + 14*x + 13. Let w be g(-1). Suppose 4*o - 4 = 0, -4*t + 1 = w*o - 5*o. Which is bigger: -4\/107 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 1, a: 1, w: 2, z: 2, d: 2, g: 1}. Give prob of sequence gaz.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (2 + 472\/28 + -18)*(-21)\/(-12)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 9 + -8.3. Let a = g + -0.5. Let z be -3*(-1)\/2 + -1. What is the second smallest value in 0, z, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 6129435290 to the nearest integer?\nAnswer: 1830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (m**2 + 2*m**2 - 5*m**2)*(1 + 2*m**2 - 1) + (-2*m + m + 2*m)*(-9*m**3 - 23*m**3 - 13*m**3).\nAnswer: -49*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 60285 times -4\nAnswer: -241140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3 (b) 3 (c) -96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*o - 18*o - 48 = -5*u, -2*o - 4*u = 30. Find the common denominator of (-8)\/(-3)*62\/(-88) and (-58)\/42 + ((-256)\/16 - o).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:00 PM and 4:06 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 69 is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14065885?\nAnswer: 5, 17, 127, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence baca when four letters picked without replacement from bcaabacac?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v be 54\/(-2)*2\/(-10). Let s be ((-3)\/10)\/(21\/(-126)). Solve s*u**4 + 24\/5*u - 21\/5*u**2 + v*u**5 - 51\/5*u**3 + 12\/5 = 0 for u.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 177349.9 litres to millilitres.\nAnswer: 177349900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 6, c: 2}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rzccomz. What is prob of sequence ocrm?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {p: 4, h: 6}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 893?\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*g + g - 80. Suppose 5*o = -v + g, 5*v + 2*o - 42 = -11. Suppose -6 - 7 = -v*s + 2*n, -2*s + n + 6 = 0. Which is bigger: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) be the third derivative of -a**5\/60 + a**4\/3 - 2*a**3\/3 + a**2. Let y = 156 + -152. Calculate the remainder when v(3) is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1544 divided by -4.\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 1 - 1 + (1 + 1 - 1)*(-4 + 9 + 2))*(2 + 1 + 0)*(-3*j - j + j).\nAnswer: -81*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (234\/273)\/(4\/14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 147, 7, -106 in decreasing order.\nAnswer: 147, 7, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 106963414.\nAnswer: 2, 2131, 25097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.8*994775.\nAnswer: -795820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -2*u - 5. Let o(j) = 3*j + 6. Let h(f) = -6*g(f) - 5*o(f). Let y(p) = -25*p. Let i(w) = -w. Let l(c) = -6*i(c) + y(c). What is h(l(s))?\nAnswer: 57*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 30*i**2*n**2*z**2 + 2*i**2*z**2 - 3*i**2 + 56167*n*z**2 + 8*z**2 + 14184 wrt n.\nAnswer: 60*i**2*n*z**2 + 56167*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 1 < -4\/63812987?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -v**3 - 7*v**2 - 10*v + 9. Let x be r(-5). Let 4*n**2 - 2*n + x*n + 11*n - n**2 = 0. What is n?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -70 + 69.9. Which is the closest to z? (a) 6\/5 (b) 5 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1869 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n be 0 - (1 + (-1 - 2)). What is the second smallest value in n, 0.3, -1\/3, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find u such that 2*u**5\/3 - 2930*u**4\/3 - 8866*u**3 + 97354*u**2\/3 - 103204*u\/3 + 11792 = 0.\nAnswer: -12, 1, 1474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*h + 5*g - 28, g + 16 = -5*h - 0*g. Let m be (2 + -1)*-11 + 4. Put h, 2, m, -5 in increasing order.\nAnswer: m, -5, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3 - -3. Let n be -2*-2*3\/i. Factor 3\/4 + 3\/4*t**3 + 9\/4*t + 9\/4*t**n.\nAnswer: 3*(t + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(96)\/sqrt(8) - sqrt(12))\/(sqrt(18)\/(sqrt(12) + sqrt(3))).\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4972\/(-249843)*(-3)\/(-2)?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 843992?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-85 - 3) + 19 - (-16 - 0)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = -5\/27 + 91\/54. Suppose -3*h - 2*f - 23 = -8*h, 5*f = h - 23. Suppose -j + h*s + 7 = 0, 3*s = -5*j - s - 3. Which is smaller: r or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -o**3 - 16*o**2 - 21*o - 14. Determine v(-15).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 598 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: What is 0.00005084 rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = -42 - -38. Which is the biggest value? (a) -2\/3 (b) 3\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13071 - 51369 = 9*i. What is i rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31 a factor of 2728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -2839166, -5678329, -8517490, -11356649, -14195806, -17034961?\n\"Answer: p**2 - 2839166*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*s + 85 = -6*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9486 + 5*v - 6*v - 1469 + 3*v.\nAnswer: 2*v + 8017","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 62171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(85) - (sqrt(85) - (sqrt(85) + -1*sqrt(85) + sqrt(85)))*6)\/(sqrt(5) - (sqrt(80)*-6 + sqrt(5)))*1.\nAnswer: sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((1813\/(-111))\/49)\/((-1)\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*n**3 + 5914659*n**2 + n + 1661780 wrt n?\nAnswer: 12*n + 11829318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -365 * 11\nAnswer: -4015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = -7 - 1. Let p = o + 16. Let g be 1\/(-2) - (-20)\/p. Solve -g*z + 13 = 5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -57*q**2 + 11*q + 18. Let i be f(14). What is i rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 906 - -2b5b6?\nAnswer: 30300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 34069 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -24 + 18 = 2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 13.3 + 0.7. Let i = x + -11. Which is the third smallest value? (a) -0.5 (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*x - 125043 = 527651. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 208 = 4*x, 2*x - 84 = -0*n + 4*n. Let u = x + -34. Let k be (-24)\/u + (-10)\/4. Is k bigger than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -w**3 + 9*w**2 + 11*w - 13. Let p be v(10). Let j be p - (-21)\/(2 - -1). Is -23*j\/(12\/(-3)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -101 - 210002?\nAnswer: -210110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 1 u when two letters picked without replacement from {u: 2, m: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide -34 by 37.\nAnswer: -34\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/7 in 3, 14, -2\/81, -39?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -9*3 - (-75524)\/2844?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*h**3 - 47634*h**2 + 857898*h - 3861270.\nAnswer: -2*(h - 9)**2*(h + 23835)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, -0.36, 3, 0.5 in decreasing order.\nAnswer: 3, 0.5, 0.1, -0.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 21439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 152869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 4, j: 3}. Give prob of sequence sjj.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: What are the prime factors of 41002?\nAnswer: 2, 13, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1078 and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*5*(sqrt(684) - 1*sqrt(684)) - (-4 + (sqrt(171))**2 + ((sqrt(76) - -3*sqrt(76) - sqrt(76)) + sqrt(76) - sqrt(76))\/sqrt(4)).\nAnswer: -167 - 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 75326192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -6*u**2 + 9*u - 29. Let f(o) = -11*o**2 + 19*o - 58. Let w(l) = -4*f(l) + 7*j(l). List the prime factors of w(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 7*q**2 + q + 1. Let o = 4 - 4. Suppose -3*b + 1 = -4*l + 8, o = 4*b - 2*l + 6. Determine t(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*d - 4*d + d**3 + (3*d - 2*d**2 - 3*d)*(-4*d + 3*d - d) + d**3 - 5*d**3 - 3*d**3 - 4*d**3 - 5 + d**3 + 4.\nAnswer: -5*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = -2, 4*u - 2*u = -2*g + 8. Suppose 2*q - 3 + 1 = 0. Let c be q - 0*2\/(-6). Solve -c = -u*x - 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 164*0.22.\nAnswer: 36.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-1 + 6)\/(71\/51972) is divided by 131?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = -5*w + 168, 3*w + w - 126 = 2*j. Suppose 0 = 2*p - 3*m - 19, 5*p + 5*m - w - 2 = 0. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (395473\/(-504569))\/((-2)\/74).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cccdcccpdcpccdcccdd. Give prob of sequence dd.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (492*z**2 + 712*z - 712*z)*(-3*z + z - 3*z)*(z**2 + 4*z**2 - z**2).\nAnswer: -9840*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(-5*(0 + sqrt(180)) + sqrt(180)))**2 + (sqrt(1440) - (sqrt(1440)*-2 - sqrt(1440) - sqrt(1440)))\/(2*sqrt(288) - sqrt(288)).\nAnswer: 5*sqrt(5) + 25920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 102 - 32 - 61 - 25*r. Let z(a) = -6*a + 2. Suppose -7*y + 2*y - 10 = -3*o, 0 = -2*y + 4*o - 4. What is y*s(l) + 9*z(l)?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 266 minutes after 3:45 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 25*c - 27*c - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:12 PM and 3:32 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - 5*c + 6*c = 90, 4*c = 8. Let p be (-33)\/(((-3)\/224)\/((-24)\/(-84))). Calculate the greatest common factor of p and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5002 is divided by 147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (c + 0*c - 2*c)*(-3 - 4 + 6) + 4 - 4 + c + 3*c - 2*c + c + 13275*c - 1300 - 303 - 13276*c.\nAnswer: 3*c - 1603","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = 40.9472 - 48.24749. Let z = 8.16 + -0.86. Let x = z + n. Round x to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 4*z**5 - 1340*z**4 + 179560*z**3 - 12030520*z**2 + 403022420*z - 5400500428 = 0. What is z?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1521533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -6*b + 26. Calculate a(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -h - 3 - h + 4 + h**3 + 0*h. Let b be q(1). Suppose b = -3*u - 0*u + 54. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8*l - 6*l + 2*l**2 + 552 - l + 1402 to o*l**2 + g + k*l and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in thirty-two fifths of a century?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 45240978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -47\/6 and -133\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p be 0 + -3 + 4 - 1. Suppose 0*k + 46 = 2*k + y, p = -4*y + 8. Calculate the highest common factor of k and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 321 divide 178827495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = 521 - 526. Sort -0.1, l, -1\/3, 35 in descending order.\nAnswer: 35, -0.1, -1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (0 - 2 - 2) + 308\/70\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -862 + 1944. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 + 0 - (154 + -151).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 2*r**2 + 16*r - 40. Let a be g(-10). Solve a = o + 2*b - 4 + 1, -4*b = -o - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 69\/2 of a litre in millilitres?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -6*d**3 - d**2 - 3*d - 6. Let r be l(-3). Suppose 0 = t - r + 154. Is 0 - (-2)\/t*(3 + 290) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 431623 (base 10) to base 12\nAnswer: 189947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -44938, -89868, -134798, -179728, -224658, -269588?\nAnswer: -314518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*g - 5*g + 0*g)*(-4 + 5 + 1)*(-6*g + 6*g - 2*g**3).\nAnswer: 20*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -2*z - 17. Suppose 4*h + 20 = 0, i - 2*h = 3 - 1. Let l be y(i). Which is the nearest to l? (a) 0.3 (b) -2\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f and 1 n when two letters picked without replacement from sfnsfwovvfnvwsnnfsnf.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5634887973.\nAnswer: 3, 11, 13, 53, 247829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 2134579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4*w + 3*w - 2*w)*(2*w - w + w + (-w + 0*w + 3*w)*(-60 - 293 + 58)) to z*w + k*w**2 + i and give k.\nAnswer: -2940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = 2*g**2 - 6*g - 7. Let n = 0 - 9. Is s(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 58266 and 702?\nAnswer: 58266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = y**2 + 4*y + 5. Let s be x(-4). Suppose -s*w + 5 = -5*t, -w - 6*t + 4*t + 4 = 0. Solve -8 = -w*d - 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 15*u**2 - 90*u - 8. Let b be r(9). Is b greater than or equal to 397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 18, 79, 180, 321, 502?\n\"Answer: 20*r**2 + r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-8)\/6*(-5 - -8). Let k be (23\/y)\/((-1)\/(-4)). What is the tens digit of 0 + 2 - k\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 685\/4 - 171. Sort 0.5, s, 3 in ascending order.\nAnswer: s, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ddd when three letters picked without replacement from dddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5 - -10. Suppose -3*t - 18 + x = 0. Is 10 a factor of 5*(5 + t)\/((-10)\/(-38))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 57.600000671 - 57.6. Round f to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2231114 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: Let a = -855 - -858. Sort 4, a, -20 in decreasing order.\nAnswer: 4, a, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 157 + 410 + 38 + 4*y + 214.\nAnswer: 4*y + 819","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1628159 to the power of 1\/2, to the nearest integer?\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = -14 - -12. Let q = w + 4. List the prime factors of q\/2*(-228)\/(-12).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1238 + 2675. List the prime factors of o.\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -260 + 255. Find the common denominator of -9\/8 and v\/(-2*6\/22).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 3*t - 1. Let f be 2\/(-3)*(3 - 4 - 5). Suppose -14*n = -f*n + 70. Let q be (-5)\/15 - n\/3. Give c(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 83 + -74. Let j = -1011 - -1007. Which is the smallest value? (a) 1 (b) x (c) -1 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*q**2 + 2*q**2 - 9*q**4 + 10 - 5*q**4 - 10 + (-q**4 + 3*q**4 - 3*q**4)*(0 + 2 - 4).\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = -323 - -1103. What is the common denominator of 3\/5 and (-7914)\/s + 4\/(-26)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 50023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose a + 47 = -a + q, 2*q = 10. What is the smallest common multiple of ((-216)\/a)\/(6\/28) and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -62072, -123534, -184996?\nAnswer: -246458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 1774019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 142 minutes after 2:10 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -50*b - 26*b - 17*b - 22*b.\nAnswer: -115*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 2220659299 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -9*z**3 - 24*z**2 + 27*z + 27894 wrt z?\nAnswer: -27*z**2 - 48*z + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-23 - 3000\/(-144)) + (1 - -2). Sort -3, 2, i, 11\/3, -0.2 in decreasing order.\nAnswer: 11\/3, 2, i, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 11*j + 23*j + j - j in the form h + d*j and give d.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = x**2. Let g(n) = 2*n**2. Let s(u) = -5*b(u) + 2*g(u). Let c(f) = -8*f**2. What is s(c(z))?\nAnswer: -64*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 35893034?\nAnswer: 2, 37, 485041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5421 + 3624. Let x = -664 - y. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-8)\/(-26))\/((-5)\/(120\/(-16))).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from znzznnzzzzz. Give prob of picking 2 z and 2 n.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -s**2 - s. Let k(y) = 135 - 7*y**2 + 0*y + y - 9*y - 134. Calculate 24*j(d) - 3*k(d).\nAnswer: -3*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -14*w + 4. Let o(m) = -28*m + 7. Let s(u) = 7*k(u) - 4*o(u). Let b(v) be the third derivative of 1\/8*v**4 + 8*v**2 + 3 + 0*v**3 + 0*v. Give s(b(z)).\nAnswer: 42*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.07 - -0.23. Let k = -968.02 - -944. Let p = 24 + k. What is the third biggest value in p, 1, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:51 AM and 9:23 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -102*r - 112*r + 2201 = 6505 + 2330 for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a**3 - 29484*a**2 + 38286544*a - 190695120 = 0. What is a?\nAnswer: -8498, 5, 1122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - (4 + -2 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1\/(-7)*2387\/(-15 + 4). Sort 4, r, -3, 6 in increasing order.\nAnswer: -3, 4, 6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 92137873?\nAnswer: 89, 1035257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-11 - (-6 + -11)) + (-1 - -7).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 260 a factor of 184080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1031 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*z**2 + 20909125*z + 20909120.\nAnswer: 5*(z + 1)*(z + 4181824)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 62933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) be the first derivative of 5*n**3\/3 + 465*n**2 + 43245*n + 683. Find b, given that u(b) = 0.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express a + 26*a**2 + a + 14*a**3 - 12*a**2 + 56*a**3 - 13*a**2 in the form q*a + w*a**2 + h + u*a**3 and give u.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = s + 2. What is t(-11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = a**3 + 17*a**2 + 3*a + 47. Let r be g(-17). Let z be 11 - (r - (-21)\/3). Solve z*j - 3 = 5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -15*s + 1 - 4 - 10*s**3 - 22*s**4 + 15*s - 8*s - 18*s**2 + 19*s**2 in the form z*s**3 + x + k*s**2 + n*s**4 + g*s and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -10, 4\/15, -1\/4, 83.37 in ascending order.\nAnswer: -10, -1\/4, 4\/15, 83.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0006203 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-2)\/(-4))\/((-1)\/(-424)). Suppose 5*q - q = c. Calculate the remainder when q is divided by ((3 - 2) + 0)*18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(-2\/53)*(i\/(i*i\/(i**(-1\/41)*i)*i*i))\/i assuming i is positive.\nAnswer: i**(-6654\/2173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) be the second derivative of -h**4\/3 + 5*h**3\/2 + 12*h. What is the second derivative of d(v) wrt v?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 1760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -1.37997165 to 4 dps.\nAnswer: -1.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -68*a - 66*a + 209*a - 74*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 801 divided by 607\nAnswer: 801\/607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out -11 + 0.8483.\nAnswer: -10.1517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -135. Let f(n) = -44*n + 272. Let m(v) = 6*b(v) + 3*f(v). Let y(c) = -44*c + 2. Determine 3*m(r) - 8*y(r).\nAnswer: -44*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -2 at most as big as -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 4540 - 4466 - (-1 - -73)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by 12458090?\nAnswer: 1\/2491618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 2369 > -128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 66*y - 145*y - 431*y**2 + 79*y.\nAnswer: -431*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 254 and 5207.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tkq when three letters picked without replacement from {h: 7, y: 2, k: 1, t: 4, q: 1}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.46 or 0.0071?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1009 is divided by 214.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 669 minutes after 1:15 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 2 - 3)*(1 - 3 + 5)*(1117 - 511 - 570 - 94*z)*(4 - 2 + 0).\nAnswer: 1128*z - 432","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 9*p**2 + 2*p - 9. Let r(f) = -31*f**2 + 2*f + 53. Let y(a) = 10*a**2 - a - 18. Let s(x) = -4*r(x) - 11*y(x). Give -8*l(u) + 5*s(u).\nAnswer: -2*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1250 + -154143?\nAnswer: -155403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -b**3 + 24*b**2 - 3*b + 80. Let q be k(24). What is the closest to 0.2 in q, 0, 0.5, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 514 minutes after 12:59 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7 - (-1 + -10)) + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 0, 39, 90, 153, 228, 315, 414?\nAnswer: 525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -ab (base 12) in base 10?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + r + 26 = 2*m, 21 = 3*r + 2*m. Let l(g) be the second derivative of 0*g**4 + 3*g + 0*g**2 + 0 + 1\/120*g**r - 1\/36*g**3. Factor l(y).\nAnswer: y*(y - 1)*(y + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in 2, -2, -0.2, 9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y**(-1)*(y**(-1)\/y*y)\/y)\/(y**(1\/3)*y*y**(-2)*y))\/((((y\/(y**(-1)\/y*y))\/y)\/y)**(-1\/34))**16 assuming y is positive.\nAnswer: y**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide -982797 by 6.\nAnswer: -327599\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ii when two letters picked without replacement from iurii?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 3.607503 milligrams in kilograms?\nAnswer: 0.000003607503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -89, -108, -129, -152, -177, -204?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 13) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 29472 + -20659. Suppose -4*z - 3*z + t = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1\/5 (b) -0.58 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 16642007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39*q + 5042 = -379. Let t(m) = 6*m + 110. What is the remainder when q is divided by t(-12)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c = -5*c + 5. Let h(p) be the third derivative of 13*p**5\/60 - 3*p**2. Is h(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b*(b**(-1\/57)*b)\/b*b**(3\/10)*b)\/(b**7\/((b\/(b**34\/b))\/b)) assuming b is positive.\nAnswer: b**(-20929\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 789342612 and 184.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*k = 4*c, -2*c + 0*k = 5*k - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 65, 4\/7, -2\/7, 3\/4.\nAnswer: -2\/7, 4\/7, 3\/4, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 230 + 4*k - 2*k + 2*k**4 - 3*k**3 - k**2 - 232 in the form c*k**3 + z*k + w + l*k**4 + g*k**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*l + 117 = -405. Calculate the remainder when l is divided by (7 + -4)*(-40)\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 79990122 to the nearest integer?\nAnswer: 8944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2612332*z**2 + 2976020 wrt z?\nAnswer: -5224664*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 61030 is divided by 772.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 2 = 3, n = -3*s + 19. Suppose -4*w + 3*w + 15 = 3*x, -w + 1 = -n*x. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and 345700 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 3120 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*i**2 + 4*i**2 - 5*i**2 + (-3*i**2 - 2*i**2 + 2*i**2)*(16 - 10 - 10))*(2*i - 2*i - 2*i) to the form r*i + y + n*i**3 + x*i**2 and give n.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -676, -713, -750, -787, -824, -861?\n\"Answer: -37*i - 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 33*0.24\nAnswer: 7.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1544 and 10608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 83518 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o be (2 + (-5508)\/2757)*2. Let n = -65273\/5514 + o. What is the common denominator of 47\/4 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 7*q**3 - 5*q - 5. Let v(b) = -4*b**3 + 3*b + 3. Suppose 19*x - 23*x = -20. Give x*v(g) + 3*n(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1068207309 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 10869 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 949243*w**5 + 2844*w**2 - 155*w - 1 wrt w.\nAnswer: 56954580*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -84\/5 + 242\/15. Sort 2\/3, v, -0.055, 2, -4.\nAnswer: -4, v, -0.055, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 6340 = -25*t. Let f = t - -630. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 71*n**2 + 92 - 71 - 22.\nAnswer: 71*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 369808555.\nAnswer: 5, 73961711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -3*r, 2*g - 13 - 22 = -r. Let f = 87 + -36. What is the remainder when f is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -h**2 - 10*h - 4. Let o be d(-6). Suppose 0 = 3*y - o - 10. Calculate the common denominator of (6\/30)\/((-4)\/y) and -15\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j**(2\/9))\/j**8)**44*(j*j*j*j*j\/(j\/(j*j**(-4\/3)))*j*j)\/(j*j**(-1\/5)\/j)*j\/(j\/((j*(j*j*j*j*j**0)\/j)\/j*j))*j*j*j*(j\/(j**2*j))\/j assuming j is positive.\nAnswer: j**(-12976\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 223 - 30*g**2 + 12*g**2 - 49*g**2 wrt g.\nAnswer: -134*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(-14)*j\/j**(10\/3))\/(j**21\/j)**(-1\/5))**(-7\/4) assuming j is positive.\nAnswer: j**(259\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5.366 - -0.366. What is the fourth biggest value in 2\/5, -0.4, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: Suppose 41*n + 36484 = 158828 + 1577311. What are the prime factors of n?\nAnswer: 5, 8291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 34980 to the power of 1\/2, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.031 - -20006689.\nAnswer: 20006689.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2106553?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 7.4038293ns to weeks.\nAnswer: 0.00000000000001224178125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -607*a**2 + 3*a**2 + 27433727*a - 27433727*a + 65*a**2.\nAnswer: -539*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = 3*u - 33. Let v be f(12). Solve -3*j = -4*j - v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -10d - -abd?\nAnswer: 9b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-5 - 0) + 14 - 3) + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 650*-1.8.\nAnswer: -1170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 91 in -2\/3, 7, 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 148 + -147. Let q = -0.8 - -1. Sort 4, m, q.\nAnswer: q, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -188\/63 + 1318\/315. Let h = 8 - 8.2. What is the closest to h in 17, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 66, 287, 706, 1365, 2306, 3571, 5202?\nAnswer: 7241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:10 AM and 2:43 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = -307438.9747241 - -307439. Let k = 0.0253 - y. What is k rounded to six decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*i**2 - i**2 + 0*i**2)*((1 + 1 - 4)*(0 - 2 + 4) + 653 + 223 - 426) + i**2 + 0*i**2 - 4*i**2 to d*i + s + f*i**2 and give f.\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -2 divided by 15810?\nAnswer: -1\/7905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3954112757 to the nearest integer?\nAnswer: 1581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -5*t**2. Let l(u) = 5*u - 2*u - 2*u - 3*u. Give l(q(h)).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 + -1 + -23 + 9 + 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 49389546.\nAnswer: 2, 3, 307, 26813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 4*o**2 - 2*o + 3. Suppose 88*g + 37*g - 625 = 0. Let c(s) = -7*s**2 + 5*s - 7. Determine g*p(v) + 2*c(v).\nAnswer: 6*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (b**3 + 2*b**3 - 6*b**3)*(-4 + 3 - 12) + (7*b**3 - 2*b**3 - 4*b**3)*(1 - 5 + 3) to s + t*b**2 + w*b**3 + k*b and give w.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = p**3 + 17*p**2 + 29*p - 2. Determine u(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 7495 - 1761. Suppose y + k = t, 0 = 40*t - 37*t + y - 17214. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ttjj when four letters picked without replacement from jjtjthtjttttttjthttt?\nAnswer: 26\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -3*a**3 + 48*a**4 - a**2 - 53*a**4 + 3*a**2 + 2*a**3 as f*a**4 + x*a**2 + p + y*a + h*a**3 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -481 = -81*v + 68*v. Which is the nearest to v? (a) -1\/5 (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -5*b - 28. What is d(-12)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-6)\/(-42) + 202\/7. Let x(c) = -c**3 - 5*c**2 - 6*c - 5. Let i be x(-4). Suppose 0 = -i*b - 2*n + t - 0, -n - 5 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (1 - 4)\/((-4)\/(-12)). Let v(q) = q**3 + 9*q**2 + 2. Let n be v(u). Solve -o = -n*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 878 is divided by 868?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, 8\/39, -3, -0.2, -2 in increasing order.\nAnswer: -3, -2, -0.2, 0.2, 8\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 2.979676 millilitres?\nAnswer: 0.002979676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -30632, -30964, -31516, -32288, -33280?\nAnswer: -34492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = z + 4. Let a be b(0). Let m(j) = 7*j**3 - 10*j**2 + 13*j - 3. Let c be m(1). Solve 2*d - r = -c, -4*d = -a*r + 36 - 12 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-2504748841)\/(-2813) + (-4)\/58 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor c**3 + 46*c**2.\nAnswer: c**2*(c + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 6\/53 or -2.2?\nAnswer: 6\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -d. Let y(h) = 3*h + 1 + 9*h**2 - 4*h + 3*h. Let u be y(-1). Let z(x) = u - 8 - x. Give g(z(m)).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 - 10 = -3*i. Suppose -6*r = -7*r, i*r + 1733 = k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 minus 4.688?\nAnswer: -8.688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 33299 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17 + 17 - 2*o**3 + 24*o**2.\nAnswer: -2*o**3 + 24*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 2 b when three letters picked without replacement from uccqeebebveveqqu.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (((4590\/(-12))\/5)\/(-12))\/(6\/(-4))\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3178?\nAnswer: 2, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 11961 - 4.309319\nAnswer: 11956.690681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 535, 1098, 1661, 2224, 2787?\nAnswer: 3350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(304) + 0)**2 - sqrt(38)\/sqrt(2)*-2.\nAnswer: 2*sqrt(19) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*h - 813187*h**3 + 0*h + 813183*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bzbq when four letters picked without replacement from {b: 3, e: 6, p: 2, q: 2, u: 2, z: 2}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = s**2 - 5*s + 4. Let u = 15 - 11. Let p(g) = -g**3 + 5*g**2 - 2*g - 3. Let w be p(u). Let x be z(w). Solve 2*r - x*r - 8 = -4*f, -3*f = r - 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 61542, 61717, 62010, 62421, 62950, 63597?\nAnswer: 64362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 2, g: 7, j: 4}. What is prob of picking 2 j?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s be 12\/112*-4 - 264\/21. Let l(c) = 13*c**2 - 20*c - 20. Is l(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = 3*i - 807, -i + 350 = -x + 79. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1.1 at most as big as 95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 23 = 2*r - 31, r + 51 = 4*l. Suppose g + g - l = 0. Let n(a) = -a**2 + 6*a + 1. What is the units digit of n(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-124)\/(-2170))\/((-2)\/20).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (9 + 5 - 16 + 6*z)*(2*z - 3*z - z).\nAnswer: -12*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is (-17894)\/(-2) + -3 + -5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 88407413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.0272 + -0.3272. What is the closest to 1\/5 in -0.1, g, -2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (14\/7)\/(-4)*8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -35 divided by 6?\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 535081078 and 246.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -64 = -21*x + 41. Let c(q) = -x*q - 15 + 15. Let s(w) = 9*w**2. Calculate s(c(b)).\nAnswer: 225*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 272748 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1 + 5. Suppose -30 = 3*y - u*y. Suppose -3*r = 2*r - y. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 20.9 + -20.1. Which is the nearest to 2? (a) 1\/2 (b) 4\/7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 888 - 887. Which is the smallest value? (a) t (b) -3\/4 (c) 17 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 12\/(-8)*(-12)\/9. Suppose u*t - w - 3 = 11, -2*w + 28 = 4*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 -1111110101100111001101 (base 2) in base 14?\nAnswer: -7a1061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -130 + 84 = -23*r. Suppose 2*o + 2*w + 22 = -r*o, o + 13 = -3*w. Let x be 2 + (-1)\/9 + -2. Which is the third biggest value? (a) 0.3 (b) x (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0022362 rounded to five dps?\nAnswer: -0.00224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -5\/2 (b) -0.06 (c) -0.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jgb when three letters picked without replacement from {g: 1, q: 1, d: 1, j: 2, b: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -12*q**2 + 360*q - 358. What is n(29)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k be 15\/(-2)*12\/(-10). Suppose -2*d - d = -k. Suppose -4*r + 260 = -4*a, -2*a + 200 = d*r - 6*a. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 452276 (base 9) in base 15?\nAnswer: 55310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 + 2 = -2*a. Suppose 2*j - a = -0*j. Suppose 3*g = n + 55, -n - j*n - 32 = -2*g. Calculate the remainder when g is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-10)\/(-30))\/(44\/24).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 28990103 - 28990103 - 2*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -27*t + 32 = -31*t - 4*l, -3*l = -2*t + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*t**4\/7 - 8*t**3\/7 - 30*t**2\/7 + 36*t\/7.\nAnswer: 2*t*(t - 6)*(t - 1)*(t + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3 - 0. Let q = -29\/65 + -2\/13. Which is the smallest value? (a) q (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.37 and 4.3?\nAnswer: -1.591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p = 3*f - 11, -608 + 602 = -2*p - 2*f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o**(-2)*o)*o*o*o\/o**(-10\/3)*o*(o*o**4*o)\/o*o*o*o*o**(-8))**33 assuming o is positive.\nAnswer: o**308","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -71096 (base 12) in base 13?\nAnswer: -51ba3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 152 = 5*j. Let q(n) = -7*n - 1. Let f be q(-5). Let z = j - f. Round z to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 146 divide 876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 460836 is divided by 7391?\nAnswer: 2594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 6*c**2 + 70*c - 832. Let a be g(-19). Suppose -4*s - 4 = 3*t + s, -5*s - 25 = 0. Solve b + t = a*h - 3, 12 = 4*h - 2*b for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -23*w + 2. Suppose 0 = -0*n - 2*n - 4. Let x be u(n). Suppose -q + 54 = 4*k - 3*q, -3*k + 39 = -q. What is the greatest common factor of x and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - (-1 + 3 + (3 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 - 14 = -2*n. Which is the second smallest value? (a) 2\/5 (b) 6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d - 2*k = k - 8, -3*d - 2*k = -12. Is (-3 + 1061\/d)*4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be -1 - (-1 + (-2)\/(-9)). Suppose -6*d + 21*d - 14*d = -2*y + 1, -4*y = 0. What is the fourth smallest value in i, -1, -2\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*g**2 - 1048188*g + 2096392.\nAnswer: -4*(g - 2)*(g + 262049)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -89 - -3632\nAnswer: 3543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -2240*w + 13446. Give i(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 74554*w + 23 = 4*o + 74553*w, -5*o - 2*w = -32 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = y**3 + 10*y**2 + y + 9. Determine s(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2.32 + 2.319412. What is s rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7\/(28\/(-5))*(-2184)\/107835.\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 4, y: 1, p: 4, q: 3, f: 2, u: 3}. Give prob of picking 1 c and 2 f.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -w**2. Let n(l) = -1795*l. What is n(j(h))?\nAnswer: 1795*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 208239.\nAnswer: 3, 41, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11330023?\nAnswer: 19, 596317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 459 and 43707.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 46 + -25. Suppose -y = 4*x - 225, -24*y = -x - z*y + 53. Suppose b - 8 + 0 = 0. What is the highest common factor of b and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5198 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 0.6719 to 2 decimal places.\nAnswer: 0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) be the third derivative of -2*v**4\/3 - 2*v**2. Let s(i) be the third derivative of 0*i - 1\/8*i**4 - 33*i**2 + 0*i**3 + 0. Determine m(s(p)).\nAnswer: 48*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 36 = -4*f, -3*f = -2*i - 3 - 4. Let u be 0 - (2 - 114\/2). Calculate the greatest common factor of f and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 82 - 5. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of ((-30)\/(-126))\/(10\/108)*987 and 18?\nAnswer: 2538","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3695, 7140, 10335, 13280, 15975, 18420?\nAnswer: 20615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 18 = 3*u + 3*j - 6, 16 = u + 3*j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 15245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) be the second derivative of 11*y**7\/42 + y**3\/2 - 21*y. What is the second derivative of k(d) wrt d?\nAnswer: 220*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.46 times -80118\nAnswer: 36854.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) be the first derivative of -7*h**3\/6 - 7*h**2\/2 - 7*h - 9. Let y(w) be the first derivative of b(w). Let l(o) = 4*o + 4. Determine -5*l(q) - 3*y(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (-8)\/(-200)*-25 + 34\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*r - 2*r - 1 + 3 - 124*r + 7705 - 7705 - 3 + r + 3 + 2*r + 0 + 0 + (3*r + r - 3*r)*(-1 + 1 + 1).\nAnswer: -118*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let -q**3\/8 + 16979*q**2\/8 + 42485*q + 424975\/2 = 0. What is q?\nAnswer: -10, 16999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) be the second derivative of 7*h**4\/12 - 13*h**3\/6 - 9*h**2\/2 + 32*h. Is 9 a factor of s(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.19060090657 and 79.\nAnswer: 79.19060090657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 2, a: 2, e: 1, o: 1, y: 2, x: 4}. What is prob of sequence oexx?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o and 1 g when three letters picked without replacement from {u: 1, n: 2, r: 3, i: 2, g: 2, o: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a + 26 = -11*c, 2684*c - 2*a = 2681*c - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 535 + -474. Suppose 1 = -o + 3*m, -3*o + 3*m + 67 = 8*m. Calculate the remainder when w is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g = -3*m + 606, -128 = -g - 0*g - 4*m. Is g a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -75 and 2.6.\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -19*f + 430. Determine d(22).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at least as big as -26\/105707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 2, c: 1, u: 1}. Give prob of sequence luc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 58 divide 3439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Multiply -496 and -0.7.\nAnswer: 347.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 1028589360 a multiple of 536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express (22 + t + 4 + 74)*((0*t + 0*t - 2*t)*(-2*t + 4*t - 3*t) - t**2 - 5*t**2 + 5*t**2 - 4*t - 3*t**2 + 4*t) as l + b*t**2 + p*t + y*t**3 and give b.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vhhhvhhhvhvvvvhvhhvh.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 1314 = 61*s + 85*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -11, -1\/28, 1\/9, -1, -8, 1\/7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express -11 - q**3 + 6*q**3 + 15 as y*q**2 + o*q + s + a*q**3 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 333980.4*180\nAnswer: 60116472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*q + 305755 = -11*t + 152861 + 152842, -2*q + t = -8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1054941771?\nAnswer: 3, 13, 59, 35267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 13*n - 13842 = 17622. What is the greatest common divisor of n and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -3\/2 (b) 8 (c) 1\/3 (d) 3853 (e) 3\/8 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b\/(b\/((b\/b**(-1\/6))\/b*b))*b**(-4))\/((b**(-5)\/b)\/b*b\/(b\/(b*b**3)))*(b**(-6)*b*b\/b**(-1\/2))**(-41) assuming b is positive.\nAnswer: b**(434\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3306 - -3301. Which is the nearest to 0.82? (a) 3 (b) g (c) 4 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2328.9596 + -2330. What is j rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k = -4*h - 6, -3 = 5*h + k + 3*k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) be the second derivative of -a**6\/6 - a**5 - 5*a**4\/4 + 10*a**3\/3 + 10*a**2 - 3427*a. Determine g, given that n(g) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -4*y + 1. Let g(i) = -i**3 - i + 1. Let s be g(1). Let f be m(s). Suppose 0 = -4*l + 4*p - 2*p + 54, 37 = 3*l - f*p. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -g = -z - 4*g - 4, 5*z = -5*g + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 20\/23 and 68\/906669.\nAnswer: 20853387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 129 is divided by 176\/6 + 406\/(-174)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2475 = 10*v - 1535. Let h = 527 - v. Calculate the highest common factor of 14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 138\/7 + ((-35)\/49 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3615\/35359 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) be the first derivative of -u**4\/6 - u**3\/2 + 3*u**2\/2 - 41*u - 24. Let v(f) be the first derivative of m(f). What is v(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 59\/168888 and -55\/8.\nAnswer: 168888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 5*l - 2 = 0. Is (17 + 235)*(l\/3 - -1) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or -170\/251687?\nAnswer: -170\/251687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {l: 2, c: 5, m: 4, a: 4}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 66467, 66470, 66483, 66512, 66563, 66642?\n\"Answer: w**3 - w**2 - w + 66468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -23, -69, -169, -341, -603, -973?\nAnswer: -1469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = w**2 + 6*w + 6. Suppose x = -0*x + 4, -4*y + 36 = 4*x. Suppose -y*q - 2*k = 38, 2*q + 22 = -k + 6. List the prime factors of h(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -6467, -12935, -19403, -25871?\nAnswer: -32339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 557773004.\nAnswer: 2, 139443251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -92*l - 35 + 83 + 504 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*w - 7 - 5. Let h(n) = 7 - 2 - 5 + 2*n**w. Determine h(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 519, 1568, 2995, 4800, 6983, 9544?\nAnswer: 12483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*p**3 + 635*p**2 + 5730*p - 14040 = 0.\nAnswer: -117, -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) be the second derivative of -l**3\/3 + l**2 - 5296*l. Suppose -6 - 1 = t. Let s = t + 1. What is c(s)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1.1 + 1. Let v = -0.14 + 0.34. Let k = 86.9 + -87. Which is the closest to k? (a) l (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-2 + 10\/(-35))\/((-2264)\/51506)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 63\/105 + (-84)\/(-10). Let l be 3616\/72 + (-2)\/x. Suppose 0 = -l*w + 56*w + 318. Is -53 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 11358670 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Are -133460 and -133996 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 60398, 60115, 59848, 59603, 59386, 59203, 59060?\n\"Answer: c**3 + 2*c**2 - 296*c + 60691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2*(-5*(-28)\/(-280))\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 10 (base 4) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4 + -2. Let o = -286\/3 - -157\/2. What is the common denominator of 2\/(-16)*113 + x and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 246475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -2\/77, 1, -1\/3, -337, 0.5, 19?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + -7 + -5 + 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find d such that 4*d**3 + 3696*d**2 + 853776*d = 0.\nAnswer: -462, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/7? (a) -1\/9 (b) -1 (c) 4\/5 (d) -1839\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y be 42\/(-49)*42\/9. Let h(q) = -q**3 - 3*q**2 + 3*q + 3. What is h(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/(-14)*(-84)\/(-48)*23320\/(-2544795)\nAnswer: -2\/291","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-2)\/4 - 5)*-2*1. Let a(i) = i**2 + 18*i - 26. Is a(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.03 times 104374\nAnswer: 3131.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4586 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*x = -l + 26*x + 3, 2*l + 10 = 2*x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 886*l**4 + 11*l**3 + l**2 + 74878*l wrt l?\nAnswer: 10632*l**2 + 66*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -3*f - 46. Let z be c(-19). Let n = -11 + z. Solve -v = -n*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 2*o - 10. What are the prime factors of 5\/o*(-12)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -11*h**2 - 5*h. Let a(v) = -21*v**2 - 9*v. Let o(b) = -2*b + 37. Let f be o(16). Give f*a(q) - 9*y(q).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p + p - 171 = 2*i, 4*p - 5*i = 684. Suppose 9*q - 711 = -p. Let x = q + -10. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 96952 divided by -8?\nAnswer: -12119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 78, 117, 146, 207, 342, 593?\n\"Answer: 7*c**3 - 47*c**2 + 131*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iw when two letters picked without replacement from wvvvwwivi.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:01 PM and 10:45 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence spls when four letters picked without replacement from pllssppp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (-6*k - 3 + 3 + (-k - 4*k + 4*k)*(1 + 2 - 1) - k + 0 + 0)*(-4*k - 3*k + 6*k)*(3*k**2 + k**2 - 2*k**2) as s + f*k + z*k**2 + x*k**4 + m*k**3 and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - -2 - 3 - (22 - 20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = -19*o + 31*o, 3*o + 5 = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 24614 and 2173162?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 216 and 108505368?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -51*n**3 + 5*n**2 + 5*n - 9. Let z(o) = 23*o**3 - 2*o**2 - 2*o + 4. Determine -2*u(g) - 5*z(g).\nAnswer: -13*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) be the first derivative of -7*p**4\/6 - 3*p**3 - 2*p**2 - 68*p + 38. Let b(i) be the first derivative of a(i). Factor b(d).\nAnswer: -2*(d + 1)*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*z - p + 1 = 0, -z = p - 24 + 23 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 38249191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 281*t - 95*t = -221*t + t + 15022 for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -q**3 + q**2 + 6*q + 2. Let l(h) = -h**2 - h**2 + h**2 - 1. Let w(z) = 5*l(z) + x(z). Is w(-6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.1 - -0.1. Let y(u) = -61*u**3 + u**2 + u - 1. Let k be y(1). Let s be k\/27 + 1 - -1. Which is greater: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-103)\/(-2)*(2 + 0). Let x = -46 + t. Suppose 3*j + 0*j - 3*b = x, 3*j + b = 37. What is the remainder when 40 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -24344 and 0.431.\nAnswer: -24343.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((4365\/1261)\/(117\/26))\/(6\/1).\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1a (base 11) in base 7?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (-55)\/(-24) + (-3)\/(54\/3) and 28\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(3\/2)*m*m**1)\/(m**(-1)*m**(1\/21)*m))**(-1\/69) assuming m is positive.\nAnswer: m**(-145\/2898)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 58 = -5*p, 9 + 0 = 3*v. What is the third biggest value in p, 1, 9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.03 (b) 1.2 (c) 3\/2 (d) -1\/10 (e) -0.74 (f) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2174940.\nAnswer: 2, 3, 5, 43, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 1, v: 3, n: 4}. Give prob of sequence vvn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -11.2, -12, 6, 5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = i**2 - 2*i + 5. Let t be d(5). Suppose -h - 4*z = t, -3*z + 0*z - 15 = -3*h. Suppose h = 2*r + r. Solve -3*c + 8 - 3 = -a, r = c - 2*a - 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find g, given that 2*g**4\/3 - 2*g**3 - 40*g**2 + 736*g\/3 - 384 = 0.\nAnswer: -9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 2 < 10970\/15583?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 247 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify x\/x**(2\/5)*x**(-4)\/x*x**10\/x*(x*x**(1\/6)*x)\/x assuming x is positive.\nAnswer: x**(173\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -w**3 - 55*w**2 - 398*w + 1395. Give t(-12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 0 * -63801\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = -15 - -7. Let c = -2 - m. Is 2 - -1 - (0 - c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 85428696 and 236?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -1.18, -23, 23, 2\/51 in increasing order.\nAnswer: -23, -1.18, 2\/51, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + 6*3*(sqrt(1300) - (sqrt(1300)*-2 + 2 - sqrt(1300))**2)*6.\nAnswer: -1264036 + 14040*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v**(1\/6)\/v)\/(v*v*v\/((v*v\/((v*v**(-1\/6))\/v))\/v)*v*v))\/(v*v\/(v*v**(-1\/4)*v))**(-14))\/((v*v**(2\/3))**(-4)*v\/(v**0*v)*v**(3\/7)) assuming v is positive.\nAnswer: v**(71\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2076?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*a = 3*n + 14*a - 17, -5 = -a. Which is smaller: n or -2\/8935?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = t**3 - 2*t**2 + 1050*t - 4219. Determine l(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*d + 4, -d + 0*d = 4*o + 18. Suppose 0 = 3*p + 4*h + 1, 0 = -5*p + 3*h - 0*h + 8. Suppose -2*a - p = -7. Sort a, o, -1 in descending order.\nAnswer: a, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*x = -126*x + 834 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-one halves of a centimeter in millimeters?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -b**2 + 21*b + 68. Give p(22).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/(-3))\/((858\/(-819))\/(-22))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p be (4 + 1)*(13 + -12). Let b be 37\/p + 3\/5. Solve t - b = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 87239 by -19.\nAnswer: -87239\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -124, -89, 14, -5, 0, -3, -2 in decreasing order.\nAnswer: 14, 0, -2, -3, -5, -89, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1799 and 3.\nAnswer: 5397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.7, -4, -1\/7, -0.06, 2\/11?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1113504 and 300?\nAnswer: 27837600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 1 c when two letters picked without replacement from cwcwwwww?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r**3\/6 + 461*r**2 + 605059*r\/2 - 68268226\/3 = 0. What is r?\nAnswer: -1417, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 2c134a (base 14) to base 2\nAnswer: 101110111111111000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -5 + a20?\nAnswer: a16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 153817, 153821, 153825, 153829, 153833?\n\"Answer: 4*m + 153813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1 - -5\/2. Let a = 158 - 160. Let n be (-2)\/a + 20 + -21. What is the second biggest value in b, 2, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (sqrt(512) - sqrt(2) - sqrt(2))**2.\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 36*g - 83*g + 2*g**2 + 8*g**3 + 49*g)*(-1 + 3 - 4) as o*g + t*g**2 + i + y*g**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) be the second derivative of -v**4\/15 - 3*v**3 + 23*v**2\/5 + 1218*v. Solve h(m) = 0 for m.\nAnswer: -23, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*(x\/(x\/(x\/x**(-1))*x))\/x)\/(x*(x\/x**(2\/33))\/x)*x**2*x**(-3) assuming x is positive.\nAnswer: x**(-31\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 4, 6, -16, -62, -132, -226, -344?\n\"Answer: -12*f**2 + 38*f - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 4147\/3 - 1369. Calculate the common denominator of 59\/132 and z.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -16, -21, 10, 95, 252, 499?\n\"Answer: 3*c**3 - 26*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -2*j + 3*m, 3*m - 6 = -5*j + 4. Let p(c) = 3*c - 105. Let u be p(35). Solve u*q = j*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 26, 79, 118, 137, 130?\n\"Answer: -r**3 - r**2 + 63*r - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j*(j*j**(-1\/2)*j)\/j*j\/(j**(-2\/41)\/j)*j)**(-2)\/((j**(-2))**(19\/5))**(-23\/4) assuming j is positive.\nAnswer: j**(-22467\/410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 36 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -c**5 + 444*c**4 - 3*c**3 - 10*c - 156 wrt c?\nAnswer: -20*c**3 + 5328*c**2 - 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -1, -1\/356, 25\/92, -1\/2, -3?\nAnswer: 25\/92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 3*a + 19. Let w be b(0). Suppose 3*u - 32 = w. Suppose 21*v = u*v + 796. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.4 in -3\/2, -3\/5, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-251)\/((-12550)\/(-780))*(-20)\/(-6).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 58*d + 6. Let g be q(7). Let b = g - 642. Round b to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 29d6 (base 14) to base 13.\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ttttcyxyylt. What is prob of sequence yl?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -14*a + 1376. Calculate the least common multiple of s(96) and 352.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*p - d + 5 = -0*d, -2*d + 29 - 24 = -p - 26 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -25c7 + 1ca22?\nAnswer: 1a428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is (-8)\/(-24) + ((-194560)\/15)\/(-4) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*y + 14*y = -k + 17, 20 = -2*k - 4*y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -4*v + 3. Let n be f(-4). Suppose -2*q - 5*h = -n, -2*h = -0*q + q - 8. Solve 2*x = 3*y + 1 + 5, 4 = -q*y - 4*x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d + 20 = 4*k, 5*k - 15 = -3*d + 18. What is the remainder when 21 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 8*z**3. Is 4 a factor of j(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -b88 + 3?\nAnswer: -b85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 60620612 and 23315620?\nAnswer: 303103060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is (76 - (-42 + 32)) + -89?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16978300.\nAnswer: 2, 5, 169783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -89\/1620810 and 55\/2668.\nAnswer: 3241620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) be the second derivative of u**4\/15 - 66*u**3\/5 + 576*u**2\/5 + 7856*u. Determine l so that m(l) = 0.\nAnswer: 3, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 39\/65005 and -15\/11?\nAnswer: 715055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 164046 is divided by 117?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-159)\/2*(-16)\/6. Let l = 107 + s. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 13*f**5*s**2 + f**3*s**3 - 4*f**3*s + 2*f**2*s**3 + 13*f**2 - 3*s**2 wrt f?\nAnswer: 780*f**2*s**2 + 6*s**3 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*l - 36 = -66. Calculate the remainder when (-133)\/(-2) + (-10)\/4 + 2 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 543 - 170. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 2349, 9216, 20655, 36660, 57225, 82344, 112011?\n\"Answer: -f**3 + 2292*f**2 - 2*f + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 12, 3, 6, -24, -23 in descending order.\nAnswer: 12, 6, 3, 1, -23, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 5.901299 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor u**3 + 12333*u**2 + 50700963*u + 69477219631.\nAnswer: (u + 4111)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = 20 + 337. Suppose 123 = -10*p - d. Round p to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8463 minus -787?\nAnswer: -7676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 288185, 288085, 287985, 287885, 287785, 287685?\n\"Answer: -100*h + 288285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vmp when three letters picked without replacement from {p: 1, m: 2, g: 4, v: 3, i: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert -6a (base 13) to base 14.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = -8, 2*c - 2*t - 4678 - 4476 = 0. Let j = c + -2579. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 84*s**2 - 127*s**2 - 6 + 4 + (2 + 0 - 5)*(2*s**2 - s**2 + 0*s**2) + 12*s**2 - 29*s**2 + 5*s + 16*s**2.\nAnswer: -47*s**2 + 5*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Subtract 14380 from 281468.\nAnswer: 267088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 522*c - 5522*c + 6*c**2 - 3122*c - 7*c**2 - 9059*c to v*c + s*c**2 + q and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = -4*q - 77. Let w be (-1)\/(52\/q - -3). Suppose w*p + p - 1595 = -2*b, b = -3*p + 958. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -15.03 + 15.53. What is the third smallest value in r, -35, 2\/17, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -77431*d**6 + 13*d**2 - 4*d - 219 wrt d.\nAnswer: -9291720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 10203232130 (base 4) to base 6.\nAnswer: 41335552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (-1136)\/(-213)*3\/(-2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -94*y - 41*y - 24*y + 22*y in the form u + v*y and give v.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 50*b**4 + 8*b**2 + 2*b - 8. Let x(t) = 17*t**4 + 3*t**2 + t - 3. Let c(j) = 3*n(j) - 8*x(j). Find the second derivative of c(s) wrt s.\nAnswer: 168*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 42 a factor of 1301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 13350 and 356?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -6869, -27353, -61489, -109289, -170765, -245929, -334793?\nAnswer: -437369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n - 5*n = -10. Suppose 6 = -n*b + 4. Let w be (-11)\/(-4) - b\/4. Solve -y + 2*t = 3, 0 = -w*y - 5*t + 6 + 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 2*j. Let d be o(2). Solve 0 = h + d*h + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1.8 + 0.2. Let b = 6 - a. Let h = 0.737 + -1.237. What is the closest to -0.1 in 5, b, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 313 and -0.76086565?\nAnswer: 313.76086565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -18, -3, 179 in descending order.\nAnswer: 179, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 2457*j - 2396*j + 1586 = 0 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 23234279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = 7\/27 - -2\/27. Let j = 3.01 - 3.11. Let s = -1.6 + 2. Which is the closest to j? (a) s (b) i (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 4\/17 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.14 + -0.06. Let h = -0.02 - c. Let j = -2.1 - h. Put j, 3, -3 in descending order.\nAnswer: 3, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -432 divided by -6?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -24248, -24246, -24242, -24236, -24228, -24218, -24206?\n\"Answer: o**2 - o - 24248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -2\/23 (b) -5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 282, 1, -3, -4395, 5, -1 in increasing order.\nAnswer: -4395, -3, -2, -1, 1, 5, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 3147756946 to the power of 1\/3, to the nearest integer?\nAnswer: 1466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 2, h: 4, w: 1, s: 1, v: 3, f: 1}. Give prob of picking 1 v and 1 w.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/5, -4, -14, 2\/3, -7\/9, -13 in descending order.\nAnswer: 2\/3, -1\/5, -7\/9, -4, -13, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = u + 2, -p = -0*p - 5*u - 14. Determine x, given that 24\/5*x**3 + 14\/5*x**p + 8\/5 - 22\/5*x**2 - 24\/5*x = 0.\nAnswer: -2, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 153*u - 158*u = -h - 17, 2*h - 2*u = -2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2 - (2 - -2)) + -1. Let q be -1 + (v - -13) + -4. Solve f - 1 + 6 = o, 0 = 3*f + q*o + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7712 is divided by 7708?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c**3 - 410*c**2 + 800*c = 0. What is c?\nAnswer: 0, 2, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from biliillbli. What is prob of picking 4 i?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -30*h + 30. Let l be f(-7). Let p = l - -3. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 66549448 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1620)*-1*-1 + sqrt(1620))**2 + 3.\nAnswer: 6483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -28662 - -28661.5. Which is the smallest value? (a) s (b) 13 (c) -4 (d) -5\/2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 13 - 17. Let t(o) = 11*o + 16. Let m(a) = -5*a - 8. Let h(k) = w*t(k) - 7*m(k). What is the remainder when h(-6) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 1.35 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 6.45 (b) 0 (c) -0.3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 204*s**2 - 8727*s + 8727*s.\nAnswer: 204*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.01580501 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3640 + -32758\/9. Let o be (-9)\/6*8\/(-6). Which is the fourth biggest value? (a) -2\/3 (b) z (c) o (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -2*z**2 - 5*z - 3. Give v(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -121 + 124 + -18 - 33?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) be the third derivative of 17*f**5\/60 + f**4\/24 + 7*f**3\/6 + 2*f**2. Is i(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -484 + 483.45. Let v = c + 0.98. Which is greater: v or -1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -j**3 - 14*j**2 - 22*j + 18. What is p(-12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gggg when four letters picked without replacement from ggggggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 9460?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 7 + 6 + (-20)\/(220\/121)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3 + 0. Let x be (a\/(-9))\/(2\/(-2892)). Let b = x + -339. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (0\/1)\/(-1 - -2). Suppose -3*p - 3*a = -4*a - 1, 3*p = -4*a + 11. Suppose 2*g + 3*g = -2*n, 3*n = -15. Put k, g, p in increasing order.\nAnswer: k, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 5373*a**4 - 20*a**2 - 5*a - 320434?\nAnswer: 21492*a**3 - 40*a - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 972, 1941, 2910?\nAnswer: 3879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 25*t**2 - 3*t - 4. Let m(h) = 52*h**2 - 5*h - 6. Let x(a) = -5*j(a) + 3*m(a). Let q(u) = 17*u**2 + 1. Let c(g) = 11*q(g) - 6*x(g). Factor c(z).\nAnswer: (z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 145 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -24\/3095 and -151\/726?\nAnswer: 2246970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/8 of a millimeter in micrometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(440)*1)\/sqrt(10))**2 - (-5*(sqrt(121) + sqrt(121) + (sqrt(121) - sqrt(121)*2)) - sqrt(121))\/sqrt(11).\nAnswer: 6*sqrt(11) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/(l*l*l\/l**(-18)*l)*l)**(2\/67))**9 assuming l is positive.\nAnswer: l**(-360\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t be 24\/(-27) + 7938\/729. Solve -2*p - t = 0, a + 3*p = 4*a - 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -13\/3619 and 121\/70.\nAnswer: 36190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -370*u**2 + 22*u + 3. Let x(n) = 123*n**2 - 8*n - 1. Determine 4*k(y) + 11*x(y).\nAnswer: -127*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -15*c + 62*c - 235 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3.5 + 0.6. Let z = s - -0.9. Put z, 0.1, 4\/9 in decreasing order.\nAnswer: 4\/9, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, x: 2, f: 2, r: 1, v: 2, o: 1}. What is prob of sequence fc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n when two letters picked without replacement from lvnuvllnulgzluunln?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 25 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 121372709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -1978*z**2 - 1869*z**2 + 3823*z**2. Let j(k) = -174*k**2. Give t(j(r)).\nAnswer: -726624*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 1, i: 4, n: 7, w: 3, q: 4}. Give prob of sequence wqn.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 279857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*f**3 + 90*f**2 - 155*f - 1140.\nAnswer: 5*(f - 4)*(f + 3)*(f + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = r**2 - 6*r + 14. Let b be v(10). Let q = b - 30. Calculate the remainder when q is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -68, -67, -72, -89, -124?\n\"Answer: -t**3 + 3*t**2 - t - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 25331496 divided by 1598\nAnswer: 15852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1034 - 992. What is the least common multiple of x and 144?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1459108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -109\/922020 and 151\/117348.\nAnswer: 6454140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -20 - (13 - 35730\/2779*(-42)\/(-4)).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3.2 - 3. Let w = -103 - -105. Sort -3, c, w in increasing order.\nAnswer: -3, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 167 and 52839301?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -4*w - 2. Let u be y(-1). Suppose -u*o + 21 = -o. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) be the first derivative of 209\/2*h**2 + 0*h + 82. Let b(a) = 2*a**2. Determine b(t(u)).\nAnswer: 87362*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 216508 rounded to the nearest 1000?\nAnswer: 217000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1884560 is divided by 211.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 1, s: 1, t: 1, q: 1, f: 1}. What is prob of sequence qta?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*n - 3*n - 3*n + n + 2*n - 4*n + (-1 + 1 + 2*n)*(-2 + 0 + 4) - 2*n + 3*n - 2*n + 2*n + n - 2*n + 0 + 0 + n + 0*n + 0*n + 2*n + 658*n - 8942 + 8942.\nAnswer: 663*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = a**3 - 32*a**2 + 187*a + 51. What is g(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 513*t - 8920 = 23912 for t.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 140605564 divided by -18491?\nAnswer: -7604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-609)\/(-28))\/((-7)\/(-112)). Suppose 7*o - a = -5*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 21\/4 of a millennium?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -2*j - 1. Let l be x(1). Let d be 5\/15 - 1\/l. Let k = -5 + 3. Which is the closest to d? (a) k (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*b - 3*b + b**3 + (-1004*b + 640*b + 552*b)*(3*b + 0*b - b)*(-9*b + 6*b + 9*b) to a + o*b**2 + g*b**3 + q*b and give g.\nAnswer: 2257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:24 AM and 11:52 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*y**3 - 884834*y**2 - 98038274176*y - 38003112416488.\nAnswer: -2*(y + 389)*(y + 221014)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -231*f + 299. Suppose -25 = 5*s - 5*i, -5*s - 5*i - 8 = 37. Let n(h) = -115*h + 152. Let v(b) = s*n(b) + 3*k(b). Differentiate v(m) wrt m.\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -m**3 + 31*m**2 - 182*m + 782. Calculate x(25).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-50)\/8 + (-2)\/(-8) - (-37 - -20). Suppose 2*t - 7*t = -880. What is the greatest common divisor of t and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 780484.\nAnswer: 2, 195121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1639800973.37288074911408968 - -1.62712178088591032. Let f = 1639800948 - l. Let r = f - -27. Round r to seven dps.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from psspdslshphspplpdd. Give prob of sequence sssh.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 13 = 27. Let m = 8 - 103. Let y = -45 - m. Calculate the greatest common factor of q and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2356 and 8508012.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the first derivative of -5*n**3\/3 + 10. Let x(h) = -2*h. Determine x(r(y)).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*r + t - 2 = 0, 18719 = -r - 2*t + 18735 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2471 + -3701. Let u be (-4)\/(-14) - (w\/21)\/5. Find the second derivative of -5*i**2 + i**2 - u*i**2 + 4*i - 30*i wrt i.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -1346 and 16.7.\nAnswer: -1329.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zztqzzzzzzzzz. Give prob of sequence zzq.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) be the second derivative of 3*w**5\/2 + 5*w**4\/12 - 5*w**3 - 5*w**2\/2 - 20*w. Determine u so that p(u) = 0.\nAnswer: -1, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:53 AM and 4:04 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -2320, -2, 1 in descending order.\nAnswer: 1, -2, -2320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 8367*f + 1564669. Give n(-187).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 37212 is divided by 8795.\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**5)**(-18) assuming w is positive.\nAnswer: w**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 16*l*m**4 + 257*l*m**2 - 143830*m**4 - m**2 - 153*m wrt m.\nAnswer: 384*l*m - 3451920*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(-5 + 4*(-1 + sqrt(304) + 3 + 5)**2 + -3).\nAnswer: 224*sqrt(19) + 1404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 9 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q be 6\/10 + (-256)\/(-40) + -3. What is the closest to 0.1 in q, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 12 - 7. Suppose 398 = f + 3*p + 45, -j*p = -2*f + 750. Suppose -5*c - w = -4*w - 360, -5*c + f = -2*w. What is the highest common factor of c and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-25*8\/40)\/((47\/(-329))\/((-12)\/(-35))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (1 + sqrt(17))*-1 + -4 + 3*sqrt(272) + -1.\nAnswer: -4 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = s**2 + 20*s - 4064. What is the remainder when 5062 is divided by j(-75)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from shsyytcm. Give prob of sequence tssm.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 11878.51 minutes in seconds?\nAnswer: 712710.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*r + 2 = -r. Let d = 8 + r. Suppose n - 16*n - 10*n + 150 = 0. Calculate the smallest common multiple of d and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9383 + 13589 = 4*b - 4*z, 0 = -5*z - 20. Is 80 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -5*n**3 - 11*n**2 + 11*n. Let s(y) = -y**3 - y + 0*y**2 + 3*y - 2*y**2. Let f be (8\/(-36) - 11\/(-9)) + -3. Calculate f*o(p) + 11*s(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = -6 - -6. Let f = 0.1 - j. Let g = -167.6 - -167.1. Which is the biggest value? (a) g (b) -4 (c) -0.3 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 1555.9218ms?\nAnswer: 0.02593203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 53505*k + 81989*k - 9 - 3 + 18956*k.\nAnswer: 154450*k - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.537 and -13964.\nAnswer: -7498.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = -70 - -75. Suppose 2*f - 12 = -v, 2*f = -w*v - 2*f + 66. Suppose -4*h + 78 = 14. What is the smallest common multiple of v and h?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 553 minutes after 7:53 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j be (3\/(-2))\/(2\/(-4)). Let r be (0\/2)\/(3 + -5). Suppose r = j*d - 6 - 0. Solve 0 = -d*w + w + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 42*((-130)\/(-30))\/13*(-2)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*y - o - 11 + 1 = 0, 3*o + 3 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -4203, 1, -9, -6, 4.\nAnswer: -4203, -9, -6, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 17582855?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -10*p + 60. Let s be q(4). Suppose 3*a + 7*a = s. What is the remainder when 17 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 42167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 7468 = 4*y + 2*y + 2*y + 7828 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Let d = 1175 - 1178. Do d and 7\/10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*1*sqrt(160) - sqrt(160)) + sqrt(160) - (6*-1*sqrt(160) - sqrt(160)))\/(5*((sqrt(72) - -5*2*sqrt(72)) + sqrt(72) - sqrt(72))).\nAnswer: 6*sqrt(5)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.08*-0.006.\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 207 minutes after 4:54 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 3\/20 (b) 0.04 (c) 2 (d) -4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.107719 - 0.10132. Round k to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2928970 and 3190.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: db (base 16) to base 6\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -2*j + 1. What is v(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in fourty-six fifths of a centimeter?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -4, -0.1, 0.5, 28 in increasing order.\nAnswer: -4, -0.1, 0.5, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_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: Calculate prob of picking 4 h when four letters picked without replacement from vxhxxvxxhxvxhhxgghx.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Do 19982 and 19986 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2\/667 + -2017\/5336. Let s = 0.1 + -0.2. Let o = -148.668 + 148.268. What is the closest to p in s, -0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/3*(-13)\/52*21\/(-28)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in twenty-five halves of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -53\/60 and -199\/2280.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2\/13, -83\/3, 158?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express h - 1 + 1 + (3 - 3 + 1)*(h - 4*h + 5*h) - h + 2*h + 3*h as u + w*h and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - (-7 - (5 + -5) - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 394.12 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in k**2 + 5 + 0 + k**2 - 14323*k + 546*k.\nAnswer: 2*k**2 - 13777*k + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k = u - 29, 2*u - 5 = -22*k + 21 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + 4*c = -2*y - 506, -251 = -y + 3*c. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -32402, -32297, -32194, -32093, -31994?\nAnswer: -31897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*a - 4*n - 51 - 121, n = 5*a - 163. Let w be -5*1*(-24)\/10. Let t = a - w. What is the remainder when t is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -392 + 391.7. Let t = -8 - -5. What is the second biggest value in -8, i, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3 - 2.8. Let w = 0 - 0.44. Let v = -0.04 - w. Which is the nearest to -1\/4? (a) r (b) v (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:04 PM and 2:26 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 4*t + 13. Give c(13).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -79 or -394\/5?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - f + 0*f = 25, 0 = 2*t - 3*f + 5. Let r be t\/(-4) - 3\/6. What is the second derivative of 5*g**2 + 0*g**r - 2*g**2 + 2*g wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (4\/6)\/(8998\/(-2520)). Let v = -2\/409 - n. Let o(k) = -2*k - 5. Let f be o(-5). What is the third smallest value in -2\/9, f, v, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 24708\/(-213) - (-14 - -6)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*h + 2*h + 2*h)*(-4231 + 13262 - 6200 + 2*h - h).\nAnswer: 2*h**2 + 5662*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:23 PM and 2:58 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*i - 2*i + 3*i + (-i - 4*i + 4*i)*(-1 + 1 + 2) - 16*i - 23*i + 15*i.\nAnswer: -25*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -888 divided by -444.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 226829 is divided by 1786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 195419 or 195416?\nAnswer: 195419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 57, -2\/3 in descending order.\nAnswer: 57, 3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 60 minutes before 7:52 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -441*c + 1006. Give t(2).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 21*r + 5 - 26. Do r and 21\/25 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zrivv. What is prob of picking 1 z, 1 v, and 1 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -12*v + 444. Determine i(37).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q*(q*(q\/(q\/q**(-6)))\/q)\/q)**50 assuming q is positive.\nAnswer: q**(-250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 3, s: 2, v: 1, l: 1}. What is prob of sequence eevl?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*p + 10 - 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1518 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-12)\/84*(-14)\/(-4))\/((-52)\/(-1248))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be (2 - 1)*9\/(-90). What is the closest to 2\/5 in -1, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 11, h: 5}. What is prob of picking 1 s and 1 h?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 21465303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, -5, 2, -3.\nAnswer: -5, -3, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 66 and 525525.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v be 3 + 1 + (-5)\/(-5). Let n(y) = y**3 - 17*y**2 - 17*y - 12. Let p be n(18). Solve 4*x - 3*b + p = -0*b, v*b = -10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 434 - 433. What is the closest to -2\/7 in -12, 0.1, z, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -3.75, 15\/2, 0.15, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -133 + 85. Calculate the remainder when 185 is divided by (6\/(-8))\/(-1) - 876\/x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -3*o + 1. Let k = -24 + 33. Suppose 2*b = -5*m - 2*b, k = -m + b. Sort -2, m, o in descending order.\nAnswer: o, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -x**3 - 8*x**2 + 3. Let b be c(-8). Suppose 18 = b*q - 15. What is the highest common factor of 22 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 45 = -3*i + 51 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i**2\/2 - 459*i\/2 + 5190 = 0 for i.\nAnswer: -173, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 24*h + 15*h - 6*h to b*h + g and give b.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(15) + -6*sqrt(30)\/sqrt(2))\/(1*sqrt(125)) + ((-3*sqrt(48) + 1)*2)**2.\nAnswer: -97*sqrt(3) + 1732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 5*u = -1, 0 = 4*w - 3*u + 4*u - 15. Suppose 5*g + 0*k - 38 = -4*k, w*g + 4*k - 28 = 0. 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: Solve 0 = -84*i - 95*i - 636*i - 81440 + 24390 for i.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (-9 + 11 - -17) + (-1 - 7) + -17 + -51?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (2*(-3 + (2 + sqrt(300))*-3 - 2*2*(1 + sqrt(300))))**2 + 4.\nAnswer: 7280*sqrt(3) + 59482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 110 and 4430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-u + 0*u + 0*u + (4*u - 6*u + 4*u)*(-2 - 1 + 2) + 4*u - 3*u + 0*u)*(-2 - 3 + 4).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 2*o - 1. Let z be x(2). Suppose 5*j = -5*s - 15, j + 1 = -3*s + 4*s. Let b = 1 + 0. Put b, s, z in descending order.\nAnswer: z, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 45\/4 of a kilometer?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -4442 or -1\/34?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.2845 + 5.2845. What is the fifth smallest value in -0.2, b, -2\/11, 0.04, -2\/15?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -h*l**5 + 737*h*l**3 + 3*h*l - 185*h - l wrt l.\nAnswer: -20*h*l**3 + 4422*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + 4*(1 + sqrt(1872)*3 + sqrt(1872) - (2 + sqrt(1872)*4 + sqrt(1872))))**2.\nAnswer: 864*sqrt(13) + 30033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -29857, -59684, -89515, -119350?\nAnswer: -149189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -8*c**2*u**4 - 5*c**2*u - 36*c**2 - 3*c wrt u?\nAnswer: -32*c**2*u**3 - 5*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 i when two letters picked without replacement from iassssuucuusucchs?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = 960 - 960.0271. Sort -3\/5, -0.4, k.\nAnswer: -3\/5, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = h**3 - 204*h**2 + 1566*h + 595. Give a(196).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 552 + -1055156?\nAnswer: -1054304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Are 1765 and 1766 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 552828 and 36054?\nAnswer: 1658484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14\/(-28)*54*-10*6\/(-45).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mxmzgxqjg. Give prob of picking 1 q and 2 x.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*l + 11*l - 144. Let c(p) = -1 + 13 + 0*p - p. Let r be c(0). What is the greatest common divisor of l and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m - 1295 + 1300 = 0. Which is bigger: m or -1\/1173?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-28)\/(-7) - (0 - -9). Let o(d) = -38*d - 15. Let m be o(z). Let k = m + -94. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.4, 0.5, -4, -3.2, -2219, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 1 - 3)*(-4 + 4*p + 4)*(43*p**3 + 44*p**3 - 8*p**3) as l*p**2 + g*p**4 + a*p + m*p**3 + o and give g.\nAnswer: -632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 9 and 4779.\nAnswer: 4779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -160*k - 80 wrt k.\nAnswer: -160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (162\/32)\/((-542)\/(-8672)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = -24 + 46. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1.8 (b) 1 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 181251 is divided by 181238.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -147*f**4 + 46*f**2 wrt f.\nAnswer: -3528*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23878864.\nAnswer: 2, 701, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -6594 - 2*h - 32*h**3 + 6594 + (-2*h + 0*h + h)*(-3*h**2 + 4*h**2 + 0*h**2) - 4*h**3 + h**3 + 2*h**3 in the form i + v*h + s*h**2 + z*h**3 and give z.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 183, -11, -5, 0, 1.\nAnswer: -11, -5, 0, 1, 4, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 92367?\nAnswer: 3, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) 3 (c) 2\/15 (d) 4 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 2*i = 92, -134 = -586*r + 583*r - 4*i. Solve 45*n - r*n = 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0, 4, 0.8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2\/((-10 - 1)\/(2 + -1)). Let y = -1 - -1.1. Which is the third biggest value? (a) d (b) y (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -12\/281725 and 35\/764.\nAnswer: 1126900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-94*o - 96*o + 191*o + 574)*(-1 - 1 - 7).\nAnswer: -9*o - 5166","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 162180354.\nAnswer: 2, 3, 7, 29, 133153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.181 + 0.627. Round x to two dps.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -123122*c**2 + 14634*c**2 - 132874*c**2 - 128860*c**2.\nAnswer: -370222*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 117562 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -h**4 - h**3 - h**2 - 2*h. Let g(k) = 4*k**4 + 3*k**3 + 415*k**2 - 138*k. Let z(l) = -3*b(l) - g(l). Find the second derivative of z(w) wrt w.\nAnswer: -12*w**2 - 824","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uuhkkuvvuuukvu. What is prob of picking 1 u, 1 h, and 2 k?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -3 + -1a791a31?\nAnswer: -1a791a34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = -8.4 - -8. Let g = 1.3 - -3.7. Which is the second biggest value? (a) 0 (b) g (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -5*s - 8. What are the prime factors of b(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + 199339 = -2*i + 2*g, -398675 = 4*i - 5*g. List the prime factors of -4 - (-126)\/33 - i\/55.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3 - -3. Let j(y) = 4*y**3 + r*y - 1 + y + 0*y**2 + y**2. Let k be j(1). Solve w = -q - 2*q - 7, 0 = -w + k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -14*y**4 + 24*y**2 + 1023.\nAnswer: -56*y**3 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 9*j**4*p - 3*j**2*p + 69293*j*p + 523684243*p with respect to j.\nAnswer: 36*j**3*p - 6*j*p + 69293*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14 divided by -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) be the third derivative of -33*d**7\/70 + d**6\/120 + 31*d**5\/12 + d**3\/3 + 709*d**2. Find the third derivative of a(h) wrt h.\nAnswer: -2376*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -6*k. Let b(l) = 5*l - 6. Let d(j) = j + 3. Let o(r) = b(r) + 3*d(r). What is o(i(c))?\nAnswer: -48*c + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 208507342.\nAnswer: 2, 4637, 22483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 209 minutes after 9:05 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 7*c**2. Let q(r) = -856933*r. Determine l(q(o)).\nAnswer: 5140339165423*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4 - h - 4)*(h**2 + 3*h - 3*h) + (1 + 1 - 7)*(-2*h**3 - h**3 + 2*h**3) to k*h**3 + c*h**2 + x + l*h and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 3\/10 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -16 - -18. Suppose -i*b = b - 42. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -13618 - -13620. Let q = 0.13 - 5.13. Which is the nearest to 0? (a) q (b) w (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((176\/11)\/(-16))\/(8\/232)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xpuhhdxdzudhxzx. Give prob of picking 1 u, 1 d, and 1 h.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 8400, 25084, 52888, 91812, 141856, 203020?\n\"Answer: 5560*k**2 + 4*k + 2836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 106591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 2*x**2 + 4*x + 1. Let m(k) = k**3 + 13*k**2 + 14*k + 30. Let w be m(-12). Suppose 38*f + w = 36*f. Give b(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -295*m = 48*m + 1575 - 203. Put 2548, 0, m, 5, -2 in increasing order.\nAnswer: m, -2, 0, 5, 2548","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -14*c - 10. Let a be j(-3). Let m = -953 + 953. Put a, m, -0.3 in descending order.\nAnswer: a, m, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -59 + 34 + 20 + -25?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-6*5)\/5 - (-1 + 3). What are the prime factors of ((-24)\/(-10))\/(j\/(-140))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 22, 60, 112, 178, 258?\n\"Answer: 7*u**2 + 17*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0 (b) 358 (c) -2 (d) -361\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 13 (base 4) to base 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*k**4 - 47*k + 2*k**4 - 5*k**4)*(-k + 3 - 3) + (1 - 2 - 1)*(-99*k**5 + 64*k**5 - 86*k**5) + (4*k**4 - 3*k**4 - 2*k**4)*(-4 + 4 + k).\nAnswer: 239*k**5 + 47*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -5*(77\/(-7) - -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0012635731 to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = 16.68 - -0.32. Let r = m + -14. Let n = -0.2 - 0.8. Which is the closest to n? (a) -3 (b) r (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*n**2 + 5*n**2 - 3*n**2 + (4*n - 3*n - 3*n)*(5*n - n - 2*n) + 2*n**2 - 7*n**2 + 3*n**2 + 0*n - 4*n**2 + n**2 - n.\nAnswer: -11*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 2 - 11 + 23*v**2 + 10.\nAnswer: 23*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 627436 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10 - (-20 - 30)) + -2 + 2 + 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 47491603?\nAnswer: 2129, 22307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**33\/(k\/(((k\/((k\/(k\/(k*k*k*k**(-1\/10))))\/k))\/k)\/k)))**(4\/11))**(-7\/3) assuming k is positive.\nAnswer: k**(-1358\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = 271.2 - 269.2. Sort 0, b, 0.8, 0.6, 0.2 in descending order.\nAnswer: b, 0.8, 0.6, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 11 + 791\/(-70) + 2\/40. What is the fourth smallest value in o, -284, -4\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be -1*65\/(5 - 0). Let v(p) = -4*p - 44. Let d be v(s). Calculate the highest common divisor of 20 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 57*k**4 - 6*k**2 + 1016*k wrt k?\nAnswer: 684*k**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:44 PM and 1:00 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*d**5 - 11*d**5 - 5*d**5 - 4*d**5 + 0*d**5 + 3*d**5 + (2*d**2 - 2*d**2 + 3*d**4)*(-d + 3*d - d).\nAnswer: -19*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 937*s - 5*s**2 + 29 - 2*s**3 - 951*s + 37*s**2. What is the units digit of k(15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 37*q - 33*q - 8. Let l(t) be the second derivative of t - 1\/30*t**5 + 1\/9*t**3 + 0*t**q + 1\/36*t**4 - 1\/90*t**6 + 0. Factor l(z).\nAnswer: -z*(z - 1)*(z + 1)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -4*n**3 + 2*n**2 + 3*n + 6. Let i be m(3). Let k = i - -102. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in fourty-seven quarters of a hour?\nAnswer: 42300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.24 + -1.06. Let p = r - -1.2. Which is the closest to p? (a) -0.4 (b) 3 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z**2\/4 - 5026891*z\/4 - 1256723 = 0. What is z?\nAnswer: -1, 5026892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7463 is divided by 495?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*((sqrt(832) - (-1 + sqrt(832) + 2)) + sqrt(832)) + 2)**2 + ((-4*sqrt(390))\/sqrt(10))\/(sqrt(243)*-4).\nAnswer: -6911*sqrt(13)\/9 + 30016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 189*l - 18. Let c be k(3). Suppose 0 = 11*b - c - 1. Calculate the remainder when b is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -13*c**2 + 4*c + 1. Let n = 6 - 11. Let z(x) = -26*x**2 + 9*x + 2. Let i(s) = n*t(s) + 2*z(s). What are the prime factors of i(-1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -5*j + 3. What is w(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find u such that 2*u**3\/9 - 48*u**2 - 1784*u\/9 + 1760\/3 = 0.\nAnswer: -6, 2, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(5 + (1 + sqrt(272) - sqrt(272)) + -3))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -29\/120 and 83\/90.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 11507*t - 19832*t - 39238*t to the form h + u*t and give u.\nAnswer: -47563","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 4*n - 5. Let i be 4\/(-2) - (-8 - -58). Let o be (-4 + 2)*(24 + 4). Let s = o - i. Let u(m) = 4*m - 4. What is s*z(r) + 5*u(r)?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -28 + 34 - (-2 - -11) - 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/48264409 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 14271484 to the nearest integer?\nAnswer: 3778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 26033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*y - 4*x = 28 - 8, 8 = -5*y + 4*x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:47 AM and 5:00 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 1.5289 to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/(c*(c*(c*(c\/c**7)\/c)\/c)\/c))\/c**(-11))\/(c**(-1\/10))**(-3\/53) assuming c is positive.\nAnswer: c**(9537\/530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**(3\/7)*h**9*((((h\/(h**(-2\/7)\/h*h))\/h)\/h)\/h)**(-40) assuming h is positive.\nAnswer: h**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -101\/33978 and 37\/45304.\nAnswer: 135912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 849 - -1?\nAnswer: 84a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 236, -142, -772, -1654, -2788?\n\"Answer: -126*z**2 + 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 113228944 to the nearest integer?\nAnswer: 10641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -514744, -515022, -515486, -516136, -516972, -517994, -519202?\nAnswer: -520596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 4411018542 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 187908 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1644 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand -1250*k**5 + 610*k**5 + 593*k**5 + (3 - k - 3)*(-4*k**3 + 13*k**3 + k**3)*(2*k + 1 - 1).\nAnswer: -67*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -22 - (31 + -183 + 85)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -3368.073 at most 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*m**2 + 2*m**2 + 3*m**2)*(m**2 - 2*m**2 + 3*m**2) + 2*m**4 + 4*m**3 - 4*m**3.\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 410 minutes before 5:22 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 3*l**3 + l - 1 - 4 + 3 + 2*l**2. Let t be s(-2). What is the remainder when (-38)\/5*t\/8 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1*(-9)\/(-33))\/(48\/11088*-105)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 0*p**2 + 2*p**3 + 2 + 12*p - 2*p**2 - 11*p**2 - p**3. Let l be v(12). Factor 4*q**2 + 8 + 80*q**3 + 4*q**2 - 44*q + 20*q**l.\nAnswer: 4*(q + 1)*(4*q - 1)*(5*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1950 rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -p + 10 = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = o**3 + 6*o**2 - 3*o + 34. What is the lowest common multiple of l(-7) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - 2*q - 1 + 5 = 0, -3*q = 4*c - 3. Sort -2, 0, c, 4 in ascending order.\nAnswer: c, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 6 + 1 - 2 - 1. Let d be (-18)\/12*(-7 - -1). Suppose 7*p = 4*p + d. Let m(t) = t + 3. Calculate p*r(k) - 4*m(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6 - 35 - 11*n**2 + 54.\nAnswer: -11*n**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 + -5 + 2 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 7334 or 315354\/43?\nAnswer: 7334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the first derivative of 4*l**5\/5 - 5*l**3\/3 - 6. What is the third derivative of g(b) wrt b?\nAnswer: 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*f*f**(-2\/25))\/(f**(-4\/19)*f))\/((f**(1\/21)\/f)\/(f**(-28)*f)) assuming f is positive.\nAnswer: f**(-248548\/9975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -162 = -32*l + 83 + 203. Calculate the least common multiple of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -24*b**3*i*q + b**3 - b**2*i - b*i*q + 7*i*q - 2*q wrt b.\nAnswer: -144*i*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 506 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 8470 - 658 = 301*d + 133*d for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -337 (b) -8 (c) -45 (d) 1.1 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4 - a - 2*a + 5 + a + 91144*a**2 - 91145*a**2 to the form v*a + p*a**2 + o and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = -7440211\/11 + 676383. Solve -4\/11*l**4 + i*l - 2\/11 - 2\/11*l**3 + 6\/11*l**2 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 186cb (base 13) in base 5?\nAnswer: 3003233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0024278034 to four decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 69372 is divided by 598?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/a**(-2)*a)**(23\/5) assuming a is positive.\nAnswer: a**(92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -2, -6 in decreasing order.\nAnswer: -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from frrrrprprirpbi. Give prob of picking 3 r.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 3\/2, -2\/7, -6.1, -0.39, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 245*u**3 + 2*u**2 - 5.\nAnswer: 1470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out 170.36 * -7340.\nAnswer: -1250442.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0003776 to 5 decimal places.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 302 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36 = 5*w + 2*r - 58, w + 5*r = 5. Suppose 42 = 2*p - 5*q + q, p - q = w. Calculate the remainder when 111 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2047, 4094, 6141, 8188, 10235, 12282?\nAnswer: 14329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (16\/(-68))\/(196\/(-3332)) + 2 + (-324)\/28?\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 441*-1\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*t + 3*t - 7*t)*(4 - 4 + 2) + 0*t - 3*t + 9*t + ((-6 + 3 + 1)*(1 + t - 1) - t + 0*t + 0*t)*(1 + 1 - 7)*(-3 + 4 - 2) to the form h*t + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2370 or 2372?\nAnswer: 2370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = 693 + 2767. What are the prime factors of u?\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c = 5*p - 11 + 68, -3*c + 43 = p. Let z = c + -2. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 51 minutes before 9:16 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 71, 85, 97, 107?\n\"Answer: -y**2 + 17*y + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -15*k - 7. Let i(g) = 23*g + 10. Let f(x) = 7*d(x) + 5*i(x). Let n = -274 - -275. Determine f(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*v + 3*x + 83, x + 3 = -4*v + 83. Is v >= 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 121 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2a6 + -776?\nAnswer: -a60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -h**3 + 12*h - 8*h**3 + 5*h + 0*h**3 - 2*h.\nAnswer: -9*h**3 + 15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 641540.6 milligrams in tonnes?\nAnswer: 0.0006415406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 128 (b) 2 (c) 70\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = m**3 + m**2 - m + 2. Let b be q(0). Let a = -55 - -83. Suppose -b*y + 4 + a = 0. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*b = 3*w - 3, 5*w - 114*b - 17 = -115*b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i and 2 r when four letters picked without replacement from {i: 3, t: 4, r: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*f = 3 - 35. What is the first derivative of 4*o + 46*o**4 + o - f*o + 50 - 13*o**4 wrt o?\nAnswer: 132*o**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*sqrt(11) + -1 + -2*((sqrt(22)\/sqrt(2))**2 + sqrt(11)).\nAnswer: -23 - 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*x**4 - 2*x**2 + 4*x**2 - 6*x**4 + (-x + x - 2*x**4)*(-2 - 3 + 2).\nAnswer: 3*x**4 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 8 >= 282\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 221 = -r, -5 = 2*r - 7*r. Let t = 130 - h. Suppose -t = -11*d - 23. Solve 0*z + 19 = 5*x - 2*z, -4*z = d*x - 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) be the second derivative of 0 + 5547\/2*s**2 + 3\/20*s**5 + 1935\/2*s**3 - 174*s + 87\/4*s**4. Determine r so that b(r) = 0.\nAnswer: -43, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 714, -2, 0, 31, 3 in increasing order.\nAnswer: -3, -2, 0, 3, 31, 714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2702 and 448.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w be 6\/4*(-2)\/(-3). Let s = w - -3. Suppose -y**s + 5\/2*y**3 + 1\/2*y - 2*y**2 + 0 = 0. What is y?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 57 + x**3 - 4*x**4 + 0*x**4 - 56 to i*x**4 + c + w*x**3 + j*x + t*x**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 32*o**4 + 403*o**3 + 3*o**2 + 130286*o wrt o.\nAnswer: 384*o**2 + 2418*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 196820943558 and 2?\nAnswer: 196820943556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1 and 0.23.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1101001010010100 - 111010?\nAnswer: -1101001011001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 14966 >= 463904\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 87231244 to the power of 1\/3, to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = 30.9 - 31. What is the closest to 2\/3 in s, -0.6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -134 + 137. What is the highest common factor of 4 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 6*l**2 - 186*l + 32. What is the remainder when 43 is divided by s(31)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1000110001001000 (base 2) in base 6?\nAnswer: -434132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -319.25 times -4\nAnswer: 1277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = 571 - 149. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 259255 at least as big as 3370323\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6 + z + 6 + 0*z**3 - 7*z**3 to g*z**3 + c*z + y*z**2 + u and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 1 + 0)*(-5*j**2 - j**5 + 5*j**2 + (0*j**5 + 4*j**5 - 3*j**5)*(3 - 5 + 4) + (3*j**3 - 3*j**3 - j**4)*(-j - j - j)).\nAnswer: -4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 31, 108, 241, 436, 699, 1036?\n\"Answer: n**3 + 22*n**2 + 4*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*x + 2*x = -20. Let k be -1 - (-9 + 3\/3). Let h(g) = -g - 8. Let m be h(-8). Solve x*c + 23 - k = m for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 49\/10 - 1391\/290. Let y be (792\/693 - (-3)\/(-21))*1\/(-3). Which is greater: g or y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 441873?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -45, 3\/2, -19.5, 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 663 minutes before 2:37 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -616*q + 314*q + 305*q = 54. Solve -46 = q*v + 26 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -x**3 - 22*x**2 + 32*x + 336. What are the prime factors of q(-28)?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 8605652 to the power of 1\/3, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z be 15*(-4 + (-88)\/(-20)). Suppose -4*r + r = -z. Solve 0 = -4*w + r*k - 4, 0 = 2*w - 0*k - 5*k + 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (5*a - 5*a - a)*(1 + 0 - 3) - 1384204 + 1384204 + 2978*a in the form l + c*a and give c.\nAnswer: 2980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(20\/3)*((t\/((t*t**(-12\/7))\/t))\/t)\/t)**28 assuming t is positive.\nAnswer: t**(620\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 40 = -10. Suppose -r = -2*y + 20. Calculate the remainder when 26 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-821)\/(-2463))\/((-2)\/30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 7*k**2. Let c(d) = -8096*d**2. Determine p(c(j)).\nAnswer: 458816512*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -269.4139542 rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q = -2*n - 16, q + 2*n = -0*q + 4. Factor -2 - q*t + 2 + 0 - 3 - t**2.\nAnswer: -(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2 = -2*b + 2*g, g + 20 - 23 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -164*f + 3619. Let m be v(22). Put 1, 15, m, -3 in descending order.\nAnswer: 15, m, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r - 3677 = -r + 9*r - 230*q, 3*r + 4*q = 67 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -87527870, -87527868, -87527866, -87527864, -87527862?\n\"Answer: 2*b - 87527872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 457 minutes after 3:09 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 87\/12695018 and -95\/103264.\nAnswer: 203120288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 310331461 - 3?\nAnswer: 310331455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-15)*m)\/m**30*((m*m**(2\/9))\/m)\/m**(3\/11) assuming m is positive.\nAnswer: m**(-4361\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 2. Let j(s) = 2*s - 5. Let o(b) = -j(b) - 2*y(b). Determine o(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qqqfeqqfqffqqfqqqaf. What is prob of picking 2 f, 1 q, and 1 e?\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-5 - -3) + (1 - 1). Suppose 0*k + 3 = 2*k + s, 5*k + 9 = 3*s. Suppose o + o + 24 = 4*w, -5*o + 4*w - 36 = k. Sort 3, o, i in decreasing order.\nAnswer: 3, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1630 and 320.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -10*n**3 + 7*n**2 - 13*n - 19. Let y(x) = -x**2 + 6*x + 20. Let t be y(-3). Let j(h) = -3*h**3 + 2*h**2 - 4*h - 6. Give t*j(d) + 2*r(d).\nAnswer: d**3 + 2*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = -153\/815 - 2\/163. Let n = 24470 - 24491. Which is the fourth biggest value? (a) n (b) 1 (c) -0.4 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 51\/867 + (-16)\/34*(-19)\/380*-5.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -418*f**3 - 2415*f**2.\nAnswer: -2508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) be the first derivative of v**4 - 92*v**3\/3 + 252*v**2 - 1717. Let s(i) = 0. What is i?\nAnswer: 0, 9, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-1898)\/365)\/((-1)\/25) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mmmimmimirmmmmr. What is prob of picking 3 m?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (37\/(-74))\/(286\/176).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = -2*b - 3*b. Suppose -5*k + 1 = -3*u - 4, b*u - 2*k = -21. Let l(c) = -3*c - 11. Calculate the lowest common multiple of 22 and l(u).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00663 to four dps.\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2512700329 - 2512700329 - 3*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = k - 3. Let u be c(-6). Let q(v) be the second derivative of -v**3\/6 - 5*v**2 + 5407*v. What is q(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 13\/78*(-6 - 4)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1632649.\nAnswer: 1632649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put together -40 and -37.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -221*c**2 + 2042*c - 1042441. Let r(g) = 265*g**2 - 2042*g + 1042441. Let a(b) = -5*r(b) - 6*z(b). Find i such that a(i) = 0.\nAnswer: 1021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-10)\/6 - -1)*-96. Let w be u\/28 + (-2)\/7. Suppose -5*s + w = -8, -2*s - 28 = -4*l. Calculate the highest common divisor of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -a + 8*a + 63. Let c = 11 + a. Solve 0 = -6*f + c*f - 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -5*b**2 - 585*b - 17110 = 0. What is b?\nAnswer: -59, -58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:37 PM and 11:16 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) be the first derivative of -35*s - 42 - 45\/2*s**2. Differentiate p(l) wrt l.\nAnswer: -45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 6, c: 3, z: 3, p: 3}. Give prob of sequence zzp.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-12)\/16)\/((-36)\/(-32))*(-27)\/2. Suppose 4*g + 4*x + 8 = g, 0 = -2*g + x + 13. Solve h = g*h + 2*c - 22, 5*c = 4*h + m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 22, 4, -2 in decreasing order.\nAnswer: 22, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -10*u**3 - 6*u + 2. Let h be (-4)\/6 - (-9)\/(-27). Let v(f) = f**3 + f - 1. Let l(r) = h*p(r) - 2*v(r). Find the second derivative of l(b) wrt b.\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 301791 and 7.\nAnswer: 301791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -65220 and -63?\nAnswer: 4108860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -815*t - 1675 wrt t?\nAnswer: -815","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 182*d - 5571 - 2881 = -1536 for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) be the second derivative of -f**5\/20 - f**4\/12 + f**3\/6 + f**2 - 3*f. Let p be q(0). Solve 0 = p*i + 2*i + 5*u - 9, -3*u + 5 = 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -42 + 123 + 0*k - 12*k. Let b be v(6). Solve -i + 2*h = b, 0 = -0*i + 4*i - 3*h + 26 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2.151 - 0.849. What is the nearest to -1 in c, -0.6, 0?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 6*j + 7. Let o(w) = 2*w + 2. Let g(k) = 2*i(k) - 7*o(k). Let n(z) be the second derivative of 0*z**2 + 0 - 4*z + 1\/2*z**3. Give n(g(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*(-8)\/20 + (-15)\/((-825)\/(-52)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -3, 493, 18, 0, -18 in ascending order.\nAnswer: -18, -3, -1, 0, 18, 493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 123862\/131 or 946?\nAnswer: 123862\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -w. Let v(d) = -16*d**2 - 25*d + 1. Calculate v(k(o)).\nAnswer: -16*o**2 + 25*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 6660, 1, 0, 3, -3 in descending order.\nAnswer: 6660, 3, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 2\/21, 1, -7, -3, -0.1, 3, -1\/67?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 8382 - 8174. Which is smaller: 207 or y?\nAnswer: 207","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2928 divided by -6?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4*p**3 - 3*p**3 + 2*p**3)*(-38*p - 66 + 43 + 25) to f*p**2 + w*p**4 + u*p**3 + x*p + o and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1023 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1528?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u + 5*t = 0, u - 1519*t + 1514*t = 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w be -5*-1*(-8)\/(-10). Factor w*q + q - 2*q**2 + 0*q - 3*q.\nAnswer: -2*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k and 2 f when four letters picked without replacement from {q: 4, u: 1, k: 4, h: 2, f: 6, c: 1}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 43141871 - 43141873 + 182*j + 521*j + 395*j.\nAnswer: 1098*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in -3, 4, -39?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 247357 and 1013507.\nAnswer: 2189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-10)\/155 - 641724\/(-372)?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i = 0, 4*g - 5*i - 180 = g. Suppose -4*n + 8*n = g. Is 15 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -4715607051 - 952.\nAnswer: -4715608003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zh when two letters picked without replacement from {z: 2, h: 3, n: 13}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 7 and 511?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -0.029 or -8.36?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 e and 1 b when three letters picked without replacement from kkkkbbeebkekceeek.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-42)\/(-7) - 0\/(-1). Let o be 21\/5 - l*6\/180. Solve -o*q + 11 = -3*h, -h = 4*h - 5*q + 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 5, k: 2, f: 1, o: 1, c: 1}. What is prob of picking 1 m and 1 c?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find h, given that -3626*h**3\/3 - 1663124*h**2 + 5504*h\/3 = 0.\nAnswer: -1376, 0, 2\/1813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) -6 (b) -2\/7 (c) -193 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 284 + -297 + (0 - 2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 902.62*-24\nAnswer: -21662.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -4*t**3 + 2*t**2 - 1. Let k(n) = -n - 1. Let w(s) = 5*s + 7. Let c(x) = -2*k(x) - w(x). Let h be c(-2). What is p(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -499*k**2. Let s(a) be the first derivative of a**2\/2 - 1984. Determine g(s(p)).\nAnswer: -499*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*h = -784 + 744 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 1508688657 to the power of 1\/3, to the nearest integer?\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*l**3 + l**4 + 2*l**3)*(-2*l - 2*l + 2*l) - 15934*l**3 - 356*l**5 + 15934*l**3 + l**5 + 4*l**5 + 2*l + l**5.\nAnswer: -352*l**5 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*h**5 + 3*h**5 + 4*h**5 + (-4*h + 0*h + 2*h)*(-3*h**4 + 3*h**4 + h**4) - 908*h**5 - 309*h**5 + 325*h**5.\nAnswer: -891*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2529.3, 4, -2\/7, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4477227 and 1857.\nAnswer: 1857","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from skwkkbswbkwkbwesebb. What is prob of picking 1 k, 1 w, and 1 s?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -r + 2. Let s(n) = 3*n - 7. Let x(u) = -12*u + 29. Let y(p) = 9*s(p) + 2*x(p). Give -5*a(z) - 2*y(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 153755 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f be -4*-1*(-2 + 3). Suppose 4*m = -5*o + 210, 2*m - 14 = -f. Let y = 19 + -6. Calculate the remainder when o is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(17) + sqrt(153)\/sqrt(225) + 1.\nAnswer: 1 + 6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 159 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is (-18 - -1 - -5) + 11\/((-253)\/644)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-60)\/(-40)*2 + 3052. Calculate the highest common factor of w and 1175.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 49*l + 150*l - 1393 = 0. Solve -4*v - 3*n = 23, 0 = -2*n + l - 9 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-10)*(x**43\/x)\/x)\/(x**(-27))**8)**(-20) assuming x is positive.\nAnswer: x**(-4940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = 19 + -17. Let h be -5*2\/g*(-5 - -2). Let s be 6\/(3\/6*2). Solve 16 = 2*q + 4*p, -p = -s*p + h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 - 8 = 2*h + 5*f, -5*h = 5*f. Let p be 4\/(-24) + (-4)\/24. Which is the closest to h? (a) p (b) 0 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -24747, -99427, -224037, -398577, -623047, -897447?\nAnswer: -1221777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.5, 0.1, -3\/4, -0.21?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -441*s - 488 + 93 = -362*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = p + 5*j - 16 - 24, -j + 1 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w**4\/5 - 4054*w**3\/5 + 10592*w**2 - 163128*w\/5 + 29376 = 0. What is w?\nAnswer: -2040, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -78 - 3?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 72 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -6, -2, 5, -19, 31 in decreasing order.\nAnswer: 31, 5, 0, -2, -6, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 22317.8 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6348\/(-1012) + (-9)\/36 + 58\/8?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = b**2 + b. Let p(u) = -3*u**2 + 16*u + 1. Let v = -25263 + 25264. What is v*p(n) + 4*t(n)?\nAnswer: n**2 + 20*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1788)\/(-24)*(5 + -1). Let -3*f - x*f**2 + 9*f + 313*f**2 + 6*f**3 = 0. What is f?\nAnswer: -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 40 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 1650*u + 11. Let s(o) = 3299*o + 19. Determine 5*q(a) - 3*s(a).\nAnswer: -1647*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -23*w. Let m be 52\/6 + (-1)\/(-3). Let f = -10 + m. List the prime factors of l(f).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = k**2 - 6*k + 3. Suppose b = 6 - 4. Let p be m(b). Which is greater: -6 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 117800 to the nearest one thousand.\nAnswer: 118000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 44*j**3\/7 + 1592*j**2\/7 - 1332*j\/7 = 0 for j.\nAnswer: -37, 0, 9\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 14\/324717 and 19\/255?\nAnswer: 1623585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) be the first derivative of 2*p**2 - 11*p - 1604. Give w(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 132\/88*6\/(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 56\/48*2*-6*(-4)\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w - 15*h = -12*h - 51, -31 = -3*w - 2*h. What is the third derivative of 44*j**3 + 172*j**2 + w*j**3 + 69*j**3 wrt j?\nAnswer: 732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -141664 - 351?\nAnswer: -142345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -168*r - 43*r - 285612 + 1133621 = 0. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5 - -9. Suppose -m*r + 20 = r. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -x**3 + 8*x**2 + x + 1. Let b(v) = 3*v**3 - 17*v**2 - 2*v - 2. Let g(r) = -2*b(r) - 5*c(r). Give g(-4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 66*p**2 - 6*p - 2. Let r be v(-2). What is the remainder when 80 is divided by r\/10 - 38\/95?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in -4, 6\/4817, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 2 + 0)*(2*j**2 + 2*j**2 - 2*j**2)*(-7*j - 3*j + j)*(6 - 8 - 1).\nAnswer: 54*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:39 PM and 4:54 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -4 (b) -1091 (c) 0.3 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s = -15*s. Let i(x) = -x**2 + 4*x - 24. Calculate i(s).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 1537633, 1537620, 1537607, 1537594, 1537581, 1537568?\n\"Answer: -13*i + 1537646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 205303 - 4?\nAnswer: 205255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 495 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = 5*g - 41. Let k(j) = -g*j - 2*j**2 + 2 + 3*j**2 - 3 - 6. Calculate k(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o*o**(-1\/6))\/o*o**(2\/7))\/(o**(-5)\/(o\/(o**6*o)*o)))\/((o\/((o*(o**(-2\/5)\/o*o)\/o*o)\/o*o))**(-3\/14))**(-3) assuming o is positive.\nAnswer: o**(-29\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in x - 12*x + 0*x.\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + 5*((-1*(sqrt(616) - (sqrt(616) - sqrt(616)*1 - sqrt(616))))\/sqrt(11))\/(-5*(sqrt(72) + 2*sqrt(72))) + 3.\nAnswer: 2*sqrt(7)\/9 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -633648 at least -6970114\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0\/(-1 + 1 + (-10 - -12)). Solve g = 11*n - 9 - 13 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-4)\/30)\/((-4)\/6). Let w = -7.7 + 8. Sort m, w, -1\/6 in decreasing order.\nAnswer: w, m, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(343) + 2)*1 + -4 + -5 + -6*-3*(sqrt(343) + (sqrt(343) - (sqrt(343) + 5*(sqrt(343) + -1)))))**2.\nAnswer: -82502*sqrt(7) + 1735952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -146, -116, -86?\n\"Answer: 30*u - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from eezzeeeeeeeeeeeezzz. Give prob of sequence eezz.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11595 is divided by 100?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*t + 15 = -7*t - 3*v, -1 = -3*t + v for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -32 + 20?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 122460 divided by 24492.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 340955636.\nAnswer: 2, 7, 12176987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2884456 + 9?\nAnswer: 9.2884456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 13104430727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1*(-324)\/(-1674)*-31?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 10*f - 14*f + 12. Suppose 5*g + 45 = 2*s - 57, -f*s + 131 = -2*g. Is 20 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + sqrt(112) + -1 + -5 + sqrt(112) + -1 + (sqrt(35)\/(sqrt(320) - (sqrt(320) - sqrt(320)*2 - sqrt(320))) - (-1*sqrt(175)*-4 - sqrt(175))))**2.\nAnswer: 1837*sqrt(7)\/12 + 264919\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 135325043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -ad - 8?\nAnswer: -b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -w**2 + 8*w + 6. Let d be y(8). Suppose 0 = d*t - t - 5. Let m = t - -1. Put 1, 0, m in decreasing order.\nAnswer: m, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -28912 - 1?\nAnswer: -28913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 4*w**2 - 10*w + 2. Does 13 divide p(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-8)\/12 - 1060\/(-15) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -44 + (-56 - -84) + 65?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in 1\/5, 2, 44, 2\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -2341, -9344, -21025, -37390, -58445, -84196, -114649, -149810?\n\"Answer: -d**3 - 2333*d**2 + 3*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*o**3 + 244621*o**2 + 713562*o + 366984 = 0.\nAnswer: -9\/4, -2\/3, 20388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = q**3 + 19*q**2 - 25*q - 40. Let k be w(-20). Let h = -63 + k. Let a(p) = -p + 2. Give a(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -26 or -11284\/415?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1438*(-4)\/(-56) - (-4)\/14?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2382180 and 8575848?\nAnswer: 42879240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -1, -8, -3, 26, 91, 204?\n\"Answer: 2*j**3 - 6*j**2 - 3*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 213607 - -1?\nAnswer: 213608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*v + o + 13 - 4, -5*v + 12 = -2*o. What is the third derivative of -f**5 + v*f**5 - f**5 - 10*f**6 - 109*f**2 - 105*f**2 wrt f?\nAnswer: -1200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -0.2, 5, 0.4, 7, 3832 in decreasing order.\nAnswer: 3832, 7, 5, 0.4, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: Simplify (((z\/(z*z\/(z**2\/z)))\/z)**(-39)\/((z**(-1)*z)\/(z\/(z\/z**(3\/4)*z))))\/((z*z**(-1\/14))\/(z\/z**(1\/2)))**(-3\/8) assuming z is positive.\nAnswer: z**(2179\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 d when two letters picked without replacement from udddddssus?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((96\/30)\/(-4))\/(5*(-5)\/(-125)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/(c*c*(c**(-1\/6)\/c)\/c*c)*c)\/((c*c**(-6\/7))\/c))**(-20) assuming c is positive.\nAnswer: c**(-850\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + 2*((((-1 + sqrt(612))*-4 + sqrt(612) + 4)**2 - (4*(sqrt(612) + 2)**2 + -5)) + -1).\nAnswer: -768*sqrt(17) + 6225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:27 PM and 9:58 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 32850947?\nAnswer: 32850947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/5, 94, -4 in descending order.\nAnswer: 94, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 45*m**2 - 45*m**2 + 15*m**3.\nAnswer: 15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = 36 - 25. Suppose 2*g - 4*p = 0, 4*g + 1 - j = -2*p. Solve -5*b - g*u + 23 = -3*u, -3*u = -2*b + 17 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f = 5*r + 79, 3*f = 3*r - 2*f + 37. Let a = 24 + r. Put -5, a, -3\/7 in descending order.\nAnswer: a, -3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 51946916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -2643 * 0.646\nAnswer: -1707.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) be the first derivative of 4*q**3\/3 - q**2 + 3*q + 446. Let i = -15 - -17. Determine d(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 540670855*p*w**2 + 123*p*w - 556052*p wrt w?\nAnswer: 1081341710*p","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Let z = 6 + -6. Let d = -2 + z. Sort d, -0.3, -0.2.\nAnswer: d, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5 - (13 + -7) - -24878 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b + 2*y - 42 = 0, 0*y + 2*y = 5*b + 117. Let k be (20\/b)\/((-2)\/10). Suppose w + k*w = 0. Is w not equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -661378 divided by -330689.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -0.1, -13.\nAnswer: -13, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = g**2 - g + 1. Let d(k) = 78*k**2 - 4*k**2 + 68 - 59*k - 9*k + 11*k**2. Determine -68*c(p) + d(p).\nAnswer: 17*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n - 9 - 6 = 0. Let p(j) = j**2 + j + j**3 - 3*j + 775 - 776. What is p(n)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 166 = -118. List the prime factors of a.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve d**3 - 369*d**2 + 8388*d - 37260 = 0 for d.\nAnswer: 6, 18, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 1142222 (base 5) to base 3.\nAnswer: 1002120121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -4*h + h. Let q(g) = g**3 - 3*g**2 - 8*g + 4. Calculate the lowest common multiple of q(h) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -1209, -1210, -1211?\n\"Answer: -k - 1208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 4\/(-10)*30\/12\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1308.4 - -1308. Let y = -0.4 + 1.4. Put y, 1\/10, -1, n in descending order.\nAnswer: y, 1\/10, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -9424486 by -1.\nAnswer: 9424486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 280 = -17*w. Suppose -5*z = -f - w, 5*f + 8 = 2*z + 7. Let 85*p**2 - 57*p - 4*p**z - 45*p**2 + 21*p = 0. What is p?\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -i**2 + 6*i + 3. Let x(j) = -3*j - 9. Let u be x(-6). Let w be a(u). Let c = w + 36. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 609 + -593. Solve -z + d*z - 30 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1111000001 (base 2) to base 10\nAnswer: -961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 215 a factor of 176085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -251, 0, -6.\nAnswer: -251, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 2*w**3 + 40*w**2 + 4*w - 590. Give i(-19).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -5*v - 2. Let n be r(-1). Suppose n*c = -c. Suppose -4*l + 21 + 27 = c. What is the least common multiple of l and 7?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(-19)*t**(-14) assuming t is positive.\nAnswer: t**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -67983, -271884, -611747, -1087596, -1699455, -2447348, -3331299?\nAnswer: -4351332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.165 + -2.125. Let w = -2.49 - y. Which is the nearest to w? (a) -2\/7 (b) 3\/10 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*6*-1*sqrt(4752))\/(4*(-6*sqrt(108)*-4 + sqrt(108))).\nAnswer: 3*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -43*g*w**3 + 27*g*w**2 + 4*w**5 - 21*w wrt w?\nAnswer: -258*g + 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (15*l - 21*l + 81*l)*(-3 + 1 - 3) + (0*l + 2*l + 0*l)*(0 - 4 + 2) to the form d + h*l and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35 = -18*r + 73. Let x be 2 + 3655\/r - (-25)\/30. Is x at most 612?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27414780 a multiple of 222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 208 by -78878.\nAnswer: -104\/39439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -713*v + 1442*v - 779*v - 14 to the form x + l*v and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 8625240 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*d**3 + 5*d**3 - d**3)*(4*d - 4*d - 5*d)*(5*d - 2*d - d).\nAnswer: 10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -v**3 - 9*v**2 - 9. Let h be k(-9). Let b = 13 + h. Solve b*r = 2*p - 10, -4*p + p = -3*r - 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-351*j**2 - 220*j**2 + 855*j**2)*(-6*j**3 + 3 - 3 + (-j + 6*j - 4*j)*(j**2 - 3*j**2 + 0*j**2)).\nAnswer: -2272*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*j = -4*j - 4*n - 36, 4*j - 5*n - 41 = 0. Suppose -648 + 3076 = 4*p - j*z, 0 = 3*p - 2*z - 1824. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 277 - 443. Let b = 318 + v. Round b to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 7, v: 4, a: 3, k: 2, c: 1}. What is prob of picking 1 k, 1 a, and 2 v?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c = -c + 360. Suppose -10 = -5*k + c. Suppose 5*o + k = 674. Calculate the greatest common divisor of 88 and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 4*m = 44, -32 = 5*v - m - 60. Factor -2\/7*u**5 + 4\/7*u**3 - 18\/7*u + 24\/7*u**2 - 8\/7*u**v + 0.\nAnswer: -2*u*(u - 1)**2*(u + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -10 - -5. Let d = b + 15. Let g(k) = -k**2 + 11*k - 5. Let m be g(d). Put 3, m, -4 in decreasing order.\nAnswer: m, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 512109 and 19552.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1 + -0.9. Let l = -6 - -10. Let d = -13.807 + 8.807. Which is the nearest to j? (a) d (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 26184 is divided by 284?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*c**2 + 2*c**2 + c**2)*(3 - 3 + 2*c**3) - 2650*c**4 + 2658*c**4 - 11*c**5 + 0*c**5.\nAnswer: -13*c**5 + 8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2\/13 - 5\/52. Let k = -18 - -18.106. Let f = k + -3.106. What is the nearest to 0 in -1, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 80602 and 6974816.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13746 is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -c**3 - 11*c**2 - 17*c + 31. Let q be y(-12). Let -4*l**2 + 9*l**2 + q*l - 92*l + 8000 + 113*l = 0. Calculate l.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -124*w - 52. What are the prime factors of v(-4)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.42? (a) 3\/2 (b) 0.2 (c) 2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -j**3 - 5*j**2 - 4*j. Let z be t(-4). Suppose z = -w + 3*w. Suppose -5*s - 16 + 71 = w. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 20 - 379*f**5 + 263*f - 20 - 21*f**5 wrt f?\nAnswer: -8000*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1.9403 + -1.4403. Suppose 0 = n + n + 28. Let d = n + 10. Sort 5, d, c.\nAnswer: d, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/35 not equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let 3125*o**3 - 7339425*o**2 - 14093424*o\/5 - 1353024\/5 = 0. Calculate o.\nAnswer: -24\/125, 2349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 2579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 0.2, -1.21, 1, -0.1, -1.1, -1 in descending order.\nAnswer: 1, 0.2, -0.1, -1, -1.1, -1.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - 27 = 21. Let z be ((-1)\/(-22))\/(4\/g). Let l(i) = -i**2 - 13*i - 37. Let n be l(-6). Is n greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 60145 is divided by 123.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -71\/18 and 27\/103.\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r*r\/(r\/(r\/r**(-3)*r)))**(13\/3) assuming r is positive.\nAnswer: r**(91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -13*c - 2. Let k(g) = 27*g + 4. What is 2*k(z) + 5*v(z)?\nAnswer: -11*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 65198467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 26397 is divided by 197.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -198*n**3 + 1387*n**2 - 4*n - 23. Calculate z(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m be -2 + (6\/1)\/(18\/45). Solve 25*s = m*s - 48 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*l + 5*y + 21, 3*l = -2*y + 33. Suppose 5*g**4 + 2*g**2 + 4*g - 7*g**2 - l*g + 5*g**3 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (117*s + 20*s**4 + 47*s**4 - 117*s)*(792 - 70*s - 792).\nAnswer: -4690*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5805, -5800, -5785, -5754, -5701, -5620?\nAnswer: -5505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-83 - (-1 + -22)) + 35.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 85*j - 269*j = -112*j - 864 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 31201573 and 842.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(3\/2)\/r*r**(6\/13))\/((r*r**3*r)\/r*r*r)**38 assuming r is positive.\nAnswer: r**(-5903\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -28.50472 rounded to the nearest integer?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2.6 + -3. Let m = -378.7 - -379. What is the nearest to -2\/17 in b, 3, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 12 = -4*c, c + 15 = -4*c. Suppose t = -4*u - 10, x*u + 2*t - 7 = u. What is the smallest value in 1.3, u, 3\/7, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: 11011 * 3\nAnswer: 33033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3058 - 3055. Which is the closest to 3\/2? (a) 7 (b) -6 (c) 0.5 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (32806\/705 + -46)*(-1)\/(-44).\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 2*z - 17 = -7, 2*z = 4*t + 6. Let o be 223\/t - 1\/4. Let p = 60 + o. Solve -u - v - v - 3 = 0, p*u - 6 = -2*v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -48 - -50. Let c be 1\/(1 - s) + 8\/2. Let -7\/3*r**4 + 4*r**5 - 7\/3*r**c + 0 + 0*r + 2\/3*r**2 = 0. What is r?\nAnswer: -2\/3, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -32*d**4 + 2*d**3 + 14*d**4 + 6 - 50*d**2 + 17*d**4 + 3*d**2 to b*d**4 + l*d**2 + t + n*d + y*d**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 399 minutes before 6:37 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide -4 by -623.\nAnswer: 4\/623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000502 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 12881 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 3*u + 3*a = -598520012, 4*a - 299259984 = -2*u. What is u rounded to the nearest one million?\nAnswer: 150000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 16 - 59. Let g = 47.2 + p. Let v = 4 - g. Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -58598 * 3.\nAnswer: -175794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 2 + 28)*(-5*c**2 - 4*c**3 + 4 + c**3 + c**3).\nAnswer: -58*c**3 - 145*c**2 + 116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = c + 4 - 0. Let k be ((-216)\/9)\/(-8) - -10. Suppose 12*h - k*h = 6*h. Sort -5, h, c, -3.\nAnswer: -5, c, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3038 = -742*u + 525*u for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 124994?\nAnswer: 2, 62497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a be (4 + -1 - -6) + 6. Factor -63*y**3 + 10*y**2 - 19 - 156*y - 20 + 420*y - 141 - 15*y**2 - y**5 - a*y**4.\nAnswer: -(y - 1)**2*(y + 5)*(y + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/23 in -2\/5, -24.87, 4\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 77 - 2 = 0. Is 10 a factor of 228\/d*20\/8 + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 4, e: 2, w: 1, x: 2, n: 1}. What is prob of sequence enew?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 185149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 3*w + 6. Suppose 20*q - 2*h = 15*q - 40, -2*h = -4*q - 32. Determine f(q).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) be the first derivative of z**2\/2 - 10*z + 4. Let k be x(13). Let i be (9\/9)\/((-2 - -3)\/2). Solve k*m + i = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 16333*g + 15292*g - 36200*g to the form z*g + m and give z.\nAnswer: -4575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -34*y**2 + 16*y + 16. Let n(k) = -2*k**2 - 63*k + 32. Let j be n(-32). Let i(c) = c**2 + j*c + 2*c - 12*c**2 + 3*c + 5. What is -16*i(s) + 5*v(s)?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 4*w - 30. Let v = w + -13. Let r(x) = -2*x - 4. Determine r(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the third derivative of -10*i**2 - 2\/3*i**3 - i**5 - 13\/12*i**4 + 0*i - 8\/105*i**7 - 7\/15*i**6 + 0. Let z(m) = 0. Calculate m.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) be the third derivative of 17\/6*v**3 + 0 + 0*v + 7*v**2 + 1\/8*v**4. List the prime factors of c(15).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = b**2 - 15. What is the remainder when 134 is divided by l(-7)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 96.1841315 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 51490000 rounded to the nearest 1000000?\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -2 minus 922912886.17?\nAnswer: -922912888.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*k + 3*k + k)*(76*k - 3*k - 4*k)*(0*k - 3*k + 5*k) to the form p*k**3 + i + t*k + r*k**2 and give p.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u = -3*n, -3*n + 4*u - 7 = -2. Solve -2*v + n*x = -3*v - 1, -4*v = -5*x - 21 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*b + 779 + 4004 = -73*b + 1013 for b.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -10*m + 10*m + 7*m + 10*m in the form a*m + t and give a.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = 44.3402 - 44.3. Let o = a - -75.7598. What is o rounded to zero dps?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -22847.8143 + 22860.6. Round q to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve f - 3*f + 7*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 3.3 * -1\nAnswer: -3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:18 PM and 12:51 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(38)\/sqrt(2) + -5)*-6.\nAnswer: -18*sqrt(19) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b be -1*14\/(-2)*10\/14. Suppose l - 1 = 2*q, -5*l + 21 = -2*q - 0*l. Suppose q*m + m = -12. Put b, -5, m in decreasing order.\nAnswer: b, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -95*p - 52034 = 92054 + 13802. Which is smaller: p or -1661?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5809361?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = c**2 + 121*c + 2595. Calculate u(-28).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 27 + 15 = 0. Let d be 6\/u - (-21)\/2. Let w be (-440006)\/d - (16\/(-10) + 1). What is w rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.4 and -1.47?\nAnswer: 1.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 2*s**3 - 684*s**2 - 696*s + 3447. What is n(343)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 2*k - 1. Let p be q(0). Is p >= -9\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -42*a**2 - 158 + 51 + 40*a**2 + 163*a + 2*a**3 + 51 + 57 to the form l*a**2 + h + c*a**3 + n*a and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 4652773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -3*s + 23. Let q be v(-11). Suppose 51*t - q*t + 265 = 0. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -167\/5016 and 39\/308?\nAnswer: 35112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1035.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 0.29, 0, 21599 in descending order.\nAnswer: 21599, 0.29, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 71957, 138884, 205811, 272738?\nAnswer: 339665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 4 (b) -1\/5 (c) -11 (d) -17 (e) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 55028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rdr when three letters picked without replacement from rdrr.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 43\/1779 and 38\/3?\nAnswer: 1779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - a - 3)*(1 - 2 + 2) + (-3 + 2 + 0)*(3*a + 0*a - 4*a) + 2 + 2*a - 2 + (1 - a - 1)*(-4 - 1 + 3).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1\/1120 and 97\/252?\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -2*f**2 + 5*f - 2*f**2 + 0*f**2 + 5 + 3*f**2. What is the units digit of y(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12439723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 25156 is divided by 78?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 2\/9, 0.2 in ascending order.\nAnswer: -2, 0.2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 102101 (base 7) to base 5.\nAnswer: 1030133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -662 greater than -691?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 364 and 883246.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -30.81 - -31. Let f = a - -5.81. Let x = 5 - f. Is -15 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.194 - -114.194. Let v = j - 113.9. What is the nearest to v in -2, 4, 19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 29946.882 nanoseconds to minutes.\nAnswer: 0.0000004991147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(198) + (sqrt(198) - 6*sqrt(198)*-1) + sqrt(198))\/(sqrt(44)\/(sqrt(16)\/sqrt(4))))\/((sqrt(216) - (sqrt(216) - sqrt(216)*1)*3)*-3))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(1\/11)\/(f*f**(-8)\/f))\/(f\/f**(-1\/7))**26 assuming f is positive.\nAnswer: f**(-1665\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 272 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - 0) + 1 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -2*u + 16*u**2 - u**3 + 0 + 2 - 15*u**2. Let f be g(0). Suppose 0 = w + w + 3*y - 12, -28 = -f*w + 5*y. Solve 2*z - 5*z - w = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-23\/3))**(6\/17)\/(y\/(y\/y**39))**(-8\/3) assuming y is positive.\nAnswer: y**(1722\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8\/(-324)*3)\/(6\/9).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3 - -1. Let n = -2 + p. What is the third derivative of w**5 + 0*w**5 + 4*w**n - 2*w**2 wrt w?\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 2*j + j - 8*j - 4*j - 14. What is the units digit of b(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.10531, 2, 0?\nAnswer: -0.10531","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 23*b. Let u be l(1). Let p be (-2 - (-67)\/u) + -1. Is p less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 462 minutes before 8:37 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/(r\/(r*r**(-3\/4)))*r)\/((r**(-14\/3)*r)\/r))**(-18) assuming r is positive.\nAnswer: r**(-213\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 5, h: 6, m: 4}. Give prob of sequence msm.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (738\/42 - 7)\/(((-2)\/9)\/(49\/(-63)))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -w + 182. Give y(-5).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 121750*f + 149390*f - 49755*f.\nAnswer: 221385*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l - 1964 = -4*p, 0 = 4*l - 3*p + 2030 - 67. What is l rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 581538.\nAnswer: 2, 3, 103, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o be (3 - 3) + -4 + 230. Find the third derivative of 623 - 61*y**3 - 623 + o*y**2 wrt y.\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 290201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5*a + 0*a + 3*a)*(1 + 0 + 1)*(-3*a**2 - 165 + 3*a + 167 + 11*a**2)*(-5 - a + 5) to c*a**2 + g*a**3 + r*a + z*a**4 + f and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -10, -5, 12, 47, 106?\n\"Answer: n**3 - 2*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 43797, 43461, 43131, 42807, 42489?\n\"Answer: 3*c**2 - 345*c + 44139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -839*c = -819*c - 280. Calculate the greatest common divisor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -342 - -343. Let i be 1331*(-2)\/20 - 2. Let t = i + 135. Which is the smallest value? (a) -0.5 (b) l (c) -5 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -2*i**2. Let d(g) be the first derivative of -3*g**2 - 5. Calculate d(h(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = 414 + -414. Let j(y) be the third derivative of 1\/12*y**4 + 3*y**2 + 0*y**3 + 0*y - 1\/30*y**5 + s. Factor j(n).\nAnswer: -2*n*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 740682.951200077 + -133198262.951195477. Let f = 132457554 + j. Let v = 26 + f. What is v rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -7*v + 2. Let w = 6 + -5. Let j be s(w). Let z(i) = -i**3 - 6*i**2 - 3*i - 4. What is z(j)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -c + 16. Let p be o(13). What is the second derivative of p*y + 5*y + 30*y**2 - 21*y**2 wrt y?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 86, 3\/4, -2\/11, 1\/4, 1 in descending order.\nAnswer: 86, 1, 3\/4, 1\/4, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n**5 + 705*n**4 + 11661*n**3 - 12369*n**2 = 0.\nAnswer: -217, -19, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does -2679 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -336*h - 69*h - 361*h.\nAnswer: -766*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -290961152, -581922307, -872883460, -1163844611, -1454805760, -1745766907, -2036728052?\nAnswer: -2327689195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2*2\/(-48)*6\/(-2). Sort i, 3\/14, 0.4.\nAnswer: 3\/14, i, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -2*s + 36. Calculate b(23).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 3, -854389, 11.\nAnswer: -854389, -4, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/(((-6)\/((-8)\/4))\/(6\/(-39)))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3107494?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d = 5*d - 16. What is the smallest common multiple of 2 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -102 = 4*t + 2*b, 0 = t - 4*b + b + 22. Let z(w) = w**3 + 29*w**2 + 28*w - 1. Is z(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-22)\/(-33))\/((-7)\/(-168))*40\/480?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 1.88, 0, -0.45, -4\/31?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 4626113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-14 + 3945\/285)*-38. Sort -1, 92, y in increasing order.\nAnswer: -1, y, 92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -4*a**3 + a**2 + a. Let t(w) = -14*w. Let l be t(1). Let x = l + 23. Let q be (x\/(-9))\/((-2)\/(-2)). What is y(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 36 - 25. Solve 8*y + 12 = l*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 less than or equal to -214584\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(216) - (sqrt(18) - sqrt(2178))\/sqrt(3))\/((sqrt(72)\/sqrt(108))\/(sqrt(12)*4)).\nAnswer: 384*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (56\/294)\/(54\/(-162))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 234 and 7228.\nAnswer: 65052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -119, -528, -1215, -2180, -3423?\nAnswer: -4944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*u = 2*w - 8*u - 22, 2*w - u = 6 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + w - 5*w + 24 = 0, -2*w - 6 = -4*b. Suppose 0 = -0*d + 2*d - b. Suppose -r - d*r + 12 = 0. Solve -3*g + g + r*m + 20 = 0, 2*g - 25 = 5*m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 4126071 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 36606.5m?\nAnswer: 36606500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -3*i**2 + 69*i + 45. Is m(17) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 3\/7, 31, 2\/1883, -0.1, -0.14?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 2 = 2*c, -5*t + 2*c - c = 1. Suppose u + 2*u - 9 = t. Suppose 3*o = -3, -4*o = u*n - 11 + 3. Solve 3*k - 2*r = -10, 3*k - 7*k - n*r = 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2376386028 to the power of 1\/2, to the nearest integer?\nAnswer: 48748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 2*h**2 - h - 6. Let k be r(-2). Let t be (-1)\/(k*6\/2528)*3. Let o = -184 - t. What are the prime factors of o?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3 + -6 + (0 - 3). Let f(m) = m. Let j(z) = -z + 2. Let q(i) = -1. Let w(u) = -j(u) - 2*q(u). Calculate a*w(y) + 3*f(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 49 = 8*w + 1. Let s be (1 + -6 + -1)*(-3)\/w. Suppose s*y = -y + p + 84, y = -p + 21. What is the highest common factor of 63 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 39*x + 2532. Let t(j) = -13*j - 846. Let s(v) = 4*o(v) + 11*t(v). What are the prime factors of s(0)?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in o**3 + 24*o**3 - 3*o**2 - 12017 + 12017.\nAnswer: 25*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -2*p + 7. Let s = -20 - -16. Calculate the remainder when g(s) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/(h*h*h*h**(-16)*h))**15)**(-11) assuming h is positive.\nAnswer: h**(-2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = m**3 - m. Let u be 4\/14 - 24\/(-14). Let k be b(u). Is 16\/24 + 200\/k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 12*u - 747*u + 5868975. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -g**2*n**2 + 36314*g**2*n + 19*g**2 - 1053 wrt n?\nAnswer: -2*g**2*n + 36314*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) be the second derivative of -11*p**2 + 0*p**5 + 0*p**4 + 41\/15*p**6 - p + 15 + 1\/6*p**3. Find the second derivative of r(n) wrt n.\nAnswer: 984*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*x**2 + 3*x**2 - 2*x**2 + 0*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -19025*r - 13386?\nAnswer: -19025","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/7 in -4, 2\/5, -238, -2\/5, -13?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 97\/1838 and -30\/28109.\nAnswer: 51664342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from btqpwtwpbtptbwg. Give prob of sequence twqw.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 6980961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2)\/((-1)\/(106\/4)). Suppose -4*b = -245 + n. Suppose 5*c - 160 = 3*l + l, -4*l - 88 = -3*c. What is the highest common factor of b and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -0.05, -1, 1\/98, -2, 1\/6, 0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -5, 1, -2, -43 in descending order.\nAnswer: 5, 1, -2, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((t\/(t*t\/(t\/(t**0\/t))))\/t*t)\/t)\/(t\/(t**6\/t)))\/((t*t**(-2\/3))\/(t**13*t)))**11 assuming t is positive.\nAnswer: t**(583\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 24*s - 2. Let i(o) = 2263794*o**2. What is q(i(r))?\nAnswer: 54331056*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 64*s**2 + 10 - 61*s**2 + 6 to n*s**2 + c + o*s and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -0.5 * -182448061\nAnswer: 91224030.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 9 (base 11) to base 9\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 99, 86, 59, 12, -61, -166?\n\"Answer: -f**3 - f**2 - 3*f + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 836, 1609, 2334, 3011, 3640?\nAnswer: 4221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 0.2, -280, 2\/7, 8.46, 3\/7 in descending order.\nAnswer: 8.46, 3, 3\/7, 2\/7, 0.2, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/2*p**2 + 57\/2 - 8*p.\nAnswer: -(p - 3)*(p + 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -5*i - 8. Let t(k) = -3 - k - 3*k + 2*k. Let w(l) = 4*b(l) - 11*t(l). Let g be w(1). Solve -n + g*n + 4 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -202*i**2 - 8*i + 8*i + 223*i**2. Let l(o) be the third derivative of o**3\/6 - 3*o**2. Let r(p) = p**2 - 4. Let z(g) = 4*l(g) + r(g). Give n(z(k)).\nAnswer: 21*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) be the first derivative of y**5\/10 - y**4\/6 - y**3\/6 - y**2\/2 + 7*y - 166. Let t(m) be the first derivative of b(m). Determine t(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 19.5645 + -123.3935. Let h = 0.171 - k. Let c = h + -104.0000246. What is c rounded to six dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4*o**2 - 13*o - 2*o**2 - o + o wrt o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:16 PM and 7:15 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2491327?\nAnswer: 2491327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9 + -3)\/(-6)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 104*u - 26 = 102*u. Factor u + 80*t**3 - 2*t - 79*t**3 - 3 - 10*t**2 + t.\nAnswer: (t - 10)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*u - 3*j - 4, 1317 = -2*u + 5*j + 643 + 649 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3*1\/1*1\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3d5 + -4c?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 0*j - 2*j - 4 + 0*j - 3 wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 107 + -60. Let i = 38 - y. Let p = i - -11. Solve 2 = -2*b - p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-160)\/48*27\/(-6). Sort 2, 0, -2, 3, i in decreasing order.\nAnswer: i, 3, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((3\/3)\/(-1))\/((-5)\/(-20)). Let b be (-15)\/(q + 2\/(8\/12)). Solve 4*h = b + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -n - 3*x + 20 - 18, 4*n + 4*x - 16 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 101544?\nAnswer: 2, 3, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is ((-315)\/30)\/(-7)*8\/(-3)*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5) + 1 + sqrt(5) - sqrt(5))**2*-2 - sqrt(15)\/sqrt(3)*3.\nAnswer: -7*sqrt(5) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 283*i**4 + 5*i**2 - 32*i + 4. Let k(o) = 850*o**4 + 16*o**2 - 101*o + 13. Let h(x) = 4*k(x) - 13*u(x). What is the third derivative of h(s) wrt s?\nAnswer: -6696*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -16*d**4 + 26*d**2 - 1398 wrt d.\nAnswer: -64*d**3 + 52*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*b**2 - 8*b**2 + 82*b**2.\nAnswer: 67*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 63240 and 1496.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16\/14*-4*(-4)\/64.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.132 + -3.868. What is the fourth biggest value in -0.3, h, -2\/7, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 (base 14) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -o**3 + 2*o**2 + 2*o + 3. Calculate l(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 89625461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1799 + 6660. Let i = -9003.7 + f. Let c = i - -520. Round c to 0 decimal places.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -j**2 + 16*j + 7. Let h be n(16). Suppose -y + 62 - h = 0. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1194*f**3*r**4 + f**3*r - 441*f**2*r**4 - 734*f**2*r**2 + 7*f**2 - 19*r**2 wrt r.\nAnswer: -28656*f**3*r - 10584*f**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - 85 - (-4794 - -4654)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 0 - 1a?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-248)\/32 + 7)\/((-36)\/(6 - 12)). Let j = -5 - -1. Sort -0.6, j, s in decreasing order.\nAnswer: s, -0.6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 617 minutes before 2:19 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12812*b**3 + 7*b**2 - 7*b**2 - 2*b - 3635*b**3 + 47*b**3.\nAnswer: -16400*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 1, q: 6, b: 12}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = 22\/3 + -8. Is y greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 17357209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -180 = 6*l - 9*l. Suppose -58*q + l*q = 12. Solve -q = 2*w - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -94*o + 147*o + 497 - 497 - 87*o.\nAnswer: -34*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -22\/81676009?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0 (b) 6 (c) -1252 (d) 0.06 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 5.6 + -6. Sort 1\/9, 2\/5, m in increasing order.\nAnswer: m, 1\/9, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4 - -4. Suppose 10 = 5*o - j. Suppose -o - 6 = -4*h. Let s(v) = -3*v + 3. Calculate s(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-30)\/(-16)*(120\/260)\/((-50)\/(-65)).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m + 12. Let t = 36 - 44. What is the tens digit of c(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor o**4\/3 - 320120*o**3\/3 + 25619523718*o**2\/3 - 17079362360*o + 8539627827.\nAnswer: (o - 160059)**2*(o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = -8 - -13. Let r be 7\/2*(m + -3). Suppose 2*a = 4*b + 10, a = 4*b - 3*b + r. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*p - 32 - 56. Suppose 24*r = -6*r - 1050. Let n = r + p. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 171437.37 microseconds to minutes.\nAnswer: 0.0028572895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.025 + 0.076. Let x = b + 0.055. What is x rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7\/(-14))\/(-13*13\/156).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3120 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 108 and 351?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a**4 - 1988*a**3 - 69326*a**2 - 594184*a = 0 for a.\nAnswer: -17, 0, 1028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 793*u + 26054 + 29456 for u.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6*-5.19.\nAnswer: -31.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (-166)\/70 + 4 + (-60)\/50 + 534\/(-21)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is (-48)\/108*10\/40?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -59, -118, -189, -278, -391?\nAnswer: -534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 6, u: 13}. Give prob of picking 2 u and 2 t.\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 43642 is divided by 36665?\nAnswer: 6977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.09 - -4.91. Suppose -14 = -136*c + 122*c. Let j = 0.4 - 0.3. What is the closest to j in i, 2\/9, c?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -275789583 to the nearest 10000.\nAnswer: -275790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 410 and 301350.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/18*-1)\/((2\/20)\/((-27)\/(-270)))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -112 + 0?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1.3284 + 64.5974. Let v = g + -63.7. What is v rounded to two decimal places?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3946871 + -1?\nAnswer: 3946870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 124821 to the power of 1\/2, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide 139 by 130.\nAnswer: 139\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 450*b**2 - 18*b + 11. Is f(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 286025 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14 - 1 - (82 + -73).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 37\/6 and 61\/494.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) be the second derivative of 2*u**7\/21 + 8*u**6\/5 + 8*u**5\/5 - 34*u**4\/3 - 6*u**3 + 44*u**2 + 2396*u. Let j(m) = 0. What is m?\nAnswer: -11, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 - 5*c**2 + 8*c**2 - 4*c**2 + (-2 - 2 + 3)*(-182*c**2 - 22*c**2 + 8 + 175*c**2).\nAnswer: 28*c**2 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 226, 579, 970, 1417, 1938, 2551, 3274, 4125?\nAnswer: 5122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(160)*-1)\/(sqrt(50)\/sqrt(250)).\nAnswer: -20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -3 (b) 1.8 (c) -46 (d) 41 (e) -0.2 (f) -4\/5 (g) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) be the third derivative of 0 + 7*f**2 + 0*f + f**3 + 1\/4*f**4. What is the tens digit of l(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*h - 18934 = -16118 for h.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1614, 3218, 4822, 6426?\nAnswer: 8030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -352 greater than or equal to -1624?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -10*m + 154. Let r be x(15). Let i be (156\/(-36) + r + -1)\/(-2). Solve i*q**2 + 0*q**3 - 2\/3*q**4 + 0*q + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 124433 (base 5) in base 10?\nAnswer: 4993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -g**2 - 3*g + 1. Let u(z) = 2*z**2 + 5*z - 3. Let a(n) = -5*t(n) - 3*u(n). Factor a(j).\nAnswer: -(j - 2)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-p + 0*p + 3*p)*(-5 - 6 + 13) - 17*p - 31 + 31 to m*p + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1270*c**3 + 3816*c**3 - 92639*c**2 - 1271*c**3 + 92639*c**2 - 1269*c**3.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.06, 2\/7, -4, 3, -3\/2, 10, -1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:44 PM and 3:44 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve b - 5*c + 2 = 0, -22 = -4*b - 1438*c + 1443*c for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3190, -6324, -9444, -12556, -15666?\nAnswer: -18780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 639491981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -c**3 - 2*c**2 + c + 2. Let g(p) = p. Let y be g(-3). Let x be u(y). Put 4, -3, x in descending order.\nAnswer: x, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 16 - 84*m + 177*m - m**5 - 94*m + 80*m**2 wrt m.\nAnswer: -20*m**3 + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 plus -0.144451?\nAnswer: -1.144451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) be the first derivative of 1\/2*p**4 + 2\/3*p**3 - 1\/5*p**5 - 1\/2*p**2 + 46 - 1\/6*p**6 - p. Factor f(v).\nAnswer: -(v - 1)**2*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*f - 12 = z, 5*f + 3*z = 6*z - 19 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-12)\/(-6))\/4*-8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 31917.\nAnswer: 3, 10639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4219681 hours to nanoseconds.\nAnswer: 1519085160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -224947*d - 78 + 78.\nAnswer: -224947*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.2 - -0.1. Let x = 40 + -26. Let r be (-14)\/294 + (-4)\/x. Which is the nearest to 0? (a) -5 (b) z (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find s such that -4*s**5\/11 + 82*s**4\/11 + 130*s**3\/11 + 4*s**2 = 0.\nAnswer: -1, -1\/2, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = -17305 - -17283. Let x(f) = f**3 + 21*f**2 - 25*f + 3. Determine x(t).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2*(-3)\/(-6) - 46\/13 - -3. Factor -4\/13 - g*n - 2\/13*n**2.\nAnswer: -2*(n + 1)*(n + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 3*r - 4 = -3*j, 8 = -4*j. Let y = 1.5 + -0.9. Put y, r, -1\/2 in descending order.\nAnswer: y, -1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -25*n - 1. Let j(q) = -5*q - 63. Let u(l) = 14*l + 168. Let i(y) = 8*j(y) + 3*u(y). Calculate 2*b(v) + 22*i(v).\nAnswer: -6*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = 5*g - 3*l + 281, 3 = -3*l. Let n be g*(-2)\/3*1. Suppose -4*b = -3*d + n, -3*d + 2*d - 4*b = 14. What is the lowest common multiple of 20 and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 2*f. Let k be v(5). Solve o + k = -4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -889947, -1779722, -2669499, -3559278, -4449059?\n\"Answer: -y**2 - 889772*y - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 40*j**2 - 98*j + 374. Is x(16) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -825288*-5.\nAnswer: 4126440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1339 - 1320. Suppose -2*w + 602 = 5*a - 1023, 4*w = 20. Calculate the greatest common divisor of s and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14406 = 23*s - 46945 + 9808. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 770*l**5 + l**4 + 40064*l**3 - 555*l**2 - 16*l + 2206 wrt l.\nAnswer: 46200*l**2 + 24*l + 240384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out -5342 * 1.429.\nAnswer: -7633.718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = -62 + 40. Let z = 148 - w. What is the smallest common multiple of 8 and z?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 5 (b) -1\/39 (c) -7357\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:21 AM and 7:58 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 697 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 63 + 5320?\nAnswer: 5413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = d**2 - 7*d + 3. Let z be u(3). Let s = -198.404 + 0.404. Let r = s - -198.3. What is the nearest to z in 5, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*f + 5709*l - 11 = 5714*l, 52*f + 49 = l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b be 11*4\/24*6. Solve 0 = 3*t + b - 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -213433.8 times 0.2?\nAnswer: -42686.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -15, -68, -207, -474, -911, -1560, -2463, -3662?\nAnswer: -5199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -97*c + 11*c + 12*c + (5 - 4 - 2)*(0*c + 0*c - c).\nAnswer: -73*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = 10\/10073 + 19956\/191387. Let z = -0.9 + -0.1. Let t = -1.5 - z. Which is the smallest value? (a) t (b) 0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-41 - -37 - 37) + 8 + -5?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-18)\/(-144))\/((-3)\/(-168)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3, 2, 11\/3, -7, -0.06, 2\/13?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bkwbkkkwkw. What is prob of picking 3 k?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -5*p**2 + 3*p + 3. Let h(u) be the second derivative of -u**4\/6 + u**3\/6 + u**2\/2 - 2*u. Determine -7*h(w) + 3*r(w).\nAnswer: -w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -9 (b) -1\/3 (c) 0.18 (d) 188\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z be (29*3)\/(12 - 11). Let s = z - 74. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1483207500 to the nearest 100000.\nAnswer: 1483200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 1, n: 1, x: 1, z: 1, i: 1}. What is prob of sequence kzi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 1 y when two letters picked without replacement from {u: 1, y: 1, t: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 27718119 to the nearest integer?\nAnswer: 5265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4473 - -4484. Let j(h) be the second derivative of u*h - 1\/2*h**3 - h**2 + 0. Calculate j(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-4*(-3)\/(-18))\/((-4)\/366). Round u to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 36532750670.4 and 1536?\nAnswer: 36532749134.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4025 and 15118?\nAnswer: 60849950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 0.1288104kg?\nAnswer: 0.0001288104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.0251? (a) 0.1 (b) -1 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 612\/(-17442) - 16947\/(-513)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 4 and 1.197?\nAnswer: 2.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1595542, -1595538, -1595534, -1595530, -1595526, -1595522?\nAnswer: -1595518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -4 + 9. Suppose 3080 = 4*d - p, -d - 3*p = -6*d + 3857. Let v = -768 + d. Sort f, v, 0, -5.\nAnswer: -5, 0, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine j so that -2*j**3\/3 + 2024*j**2\/3 - 598142*j\/3 + 16366568 = 0.\nAnswer: 137, 327, 548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 8*t**3 + 2*t - 1. Let s be q(1). Suppose y + s = 2*y. What is the smallest common multiple of 3 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 2622*t - 325430. What is i(124)?\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 537307932 a multiple of 3626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = y**3 - 2*y**2 - 5*y - 3. Let j be f(4). Let r(i) = -4*i**3 + 2*i**2 + 4*i. Let v(o) = 17*o**3 - 9*o**2 - 17*o. What is j*r(m) + 2*v(m)?\nAnswer: -2*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*o - 3*o + 40. Suppose 4 = 4*x - o. Differentiate -3*i**x + 1 + 2*i**3 - 2 with respect to i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -12.4 * 25\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5 in -4, -88, 1\/93, 1\/10, 2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1738 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -204.9 + 41.9. Let u = h - -168. What is the nearest to -1\/4 in -4, u, -0.1, 4\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) be the third derivative of 0*w**3 - w**2 + 11\/80*w**5 + 0 + 1\/40*w**7 + 0*w + 1\/10*w**6 + 1\/16*w**4. Solve f(k) = 0 for k.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 112535126.\nAnswer: 2, 11, 5115233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -b**3 + 5*b**2 - 3*b + 3. Let d be m(4). Let f be 580\/70 - 2\/d. Solve -4*u - 2*k + 4 = 0, -5*k + 0*k - f = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 170 - 98. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 155*d**2 - 41*d**3 - 155*d**2.\nAnswer: -41*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -29\/44 and 9\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/15)\/((-88)\/(-240)*2).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4 - -2. Let r = 2976\/7565 + 10\/1513. What is the nearest to 0 in r, 10, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/(w*w**(-1)))**(-8)*(w**(-1)*w)**(-3\/20) assuming w is positive.\nAnswer: w**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 16*d**4 + d**2 + 14*d**5 - 16*d**4 wrt d?\nAnswer: 840*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 216 or 217?\nAnswer: 217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bobo when four letters picked without replacement from boppppbpbbpbpo?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 207 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = -65 + 41. Let s = -18 - c. Differentiate 8*m**2 - 3*m**2 + 3 - 5*m**2 + s*m**4 wrt m.\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 = -3*t + 2*m, 2*m - 28 = -3*t + t. Let w = t - 5. Suppose w*f - 34 = 4*h, 4*h = -f + h + 22. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14\/8*-2 - (-4)\/(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -10 in 2, -23, 2\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = 294 + -292. Determine f, given that 0*f**3 + 6\/7*f**5 + 0 + 0*f + 0*f**w + 2\/7*f**4 = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 4348 - 4331. What is the remainder when 645 is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -y**3 - 5*y**2 + 8*y + 2. Let a be (1 + -7)*(-12)\/9 + -4. Suppose a*v - 2*b + 23 = -3*b, 5*v - 4*b = -34. Determine c(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 + 0)\/(59 - 61)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -4*v**2 + 10*v - 15. Let i(n) be the first derivative of 2*n**3\/3 - 5*n**2\/2 + 7*n + 88. Give -13*i(f) - 6*u(f).\nAnswer: -2*f**2 + 5*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00204841144 rounded to 5 dps?\nAnswer: -0.00205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-20)\/(-3))\/(2\/6). Suppose 2*g + h - 84 = 0. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -2128 divided by 152\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (-26)\/(-6)*2362050\/(-117650)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -5, -1\/9, 5070094, 0.5?\nAnswer: 5070094","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide 1690491 by 14.\nAnswer: 1690491\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 77776341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d + 1923 = 5*r - 3643, 2*d + 1112 = r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 23975853\/455 + -52694. Let g = z + -1\/35. Factor 0 + g*v**2 + 2\/13*v.\nAnswer: 2*v*(v + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -c + 1. Let p(f) = -2*f**2 + 3*f - 3. Let i(x) = -3*n(x) - p(x). Let j(k) be the second derivative of 47*k**4\/2 - 123976*k. Calculate j(i(s)).\nAnswer: 1128*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 947 - 950. Let i(w) = -3*w**3 - 3*w**2 - 2*w + 2. Let l be i(-2). Which is the smallest value? (a) -1\/2 (b) q (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -1894*f - 17014. What is q(-9)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - (17 + -4 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = 2*p**2 - 2*p - 2. Let r be o(2). Let w = r - -3. What is the smallest common multiple of ((-3)\/9)\/(2\/(-6)) and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = l + 2*l - 27. Let i = l + -7. Let -4\/5*h**3 - 2\/5*h**4 + 4\/5*h + 2\/5 + 0*h**i = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.25 - -0.54. Let k = h - 0.442. Let s = k - 2.998. Round s to one dp.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1)\/5 + (-3132)\/(-60). Suppose 31*r - 30*r = n. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 8 in -3, -0.1, 1\/8, -1, 3\/235?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -6.83 + -0.17. Let f = 3 + u. What is the nearest to 1 in f, 0.3, -1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-3)\/5)\/(24\/465). Let g be (-1)\/((-2232)\/(-25731)) - (1 - 1). Let x = g - b. Is x bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m = 2*k - 71 + 51, 5*m + 20 = 5*k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -15 + 17. Let d be (-15 + 0)\/((-3)\/k). Let r(x) = -91*x**3 - 2*x**2 + 1. Let y be r(-1). What is the highest common divisor of d and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 145*q - 1596. Determine c(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -4 + 4. Let p = d - 0.00000026. What is p rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -f - 19 = -4*s, 10*f - 6*f + 12 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 5*b**2 + 10*b + 16. What is o(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = -t - 159. Suppose -477 = 13*u + 836. Let l = t - u. What is the greatest common divisor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b = -2 - 58. Suppose -2 = -2*o - 2*w + 2, -2*o - 3*w + 7 = 0. Let s be 3 + (1 - (0 + o)). Calculate the highest common factor of b and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -k + 1. Let p(y) = 14*y**2. What is p(z(m))?\nAnswer: 14*m**2 - 28*m + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = h - 24, -22 = 5*p + 2*h + 29. Let w(j) = -j**2 - 8*j + 6. Give w(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -2*w - 14. Let s be k(-6). Sort -16, 2, s in decreasing order.\nAnswer: 2, s, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 47492?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -5038676955 rounded to the nearest 1000000?\nAnswer: -5039000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 11*q - 360 - 1301. Let v = q - -282. List the prime factors of v.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.4 - -0.3. Let y = -0.24 - -0.04. What is the second smallest value in y, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.447 - 0.047. What is the third biggest value in g, 0, 3\/5, -0.31?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - 8 = 2. Let v = -813\/76 - -43\/4. Let r = v + -21\/38. Which is the nearest to r? (a) j (b) 6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/((2\/(-5))\/((-7)\/(-35))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37 = 3*q - 23. Suppose q = -i + 2*i. Suppose 2*p - i = -0*p. Calculate the highest common factor of 70 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 1, c: 5, p: 4, h: 2, v: 4}. Give prob of picking 1 j and 1 h.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 0 * 42\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Product of -10 and 42985.\nAnswer: -429850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 7, c: 1, d: 6}. What is prob of sequence dycy?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -v - 1. Let m(x) = 3*x + 3. Let h(j) = -2*m(j) - 7*r(j). Suppose -347 + 356 = 9*a. What is h(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 19*a*p**2*v + 1065*a*p**2 - 2*a*p*v**2 - 285*a*p*v + 13003*a*p - 30*p**2*v**2 wrt p?\nAnswer: 38*a*v + 2130*a - 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) be the second derivative of g**4\/3 - 5*g + 80. Let p(l) = 270*l. Give p(f(y)).\nAnswer: 1080*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = 158 + -157. Let j = 1915 - 1911. Which is the closest to i? (a) j (b) 7 (c) 3 (d) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*o - 3*p - 65 + 138, 7*p = -2*o + 6 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + -5*2*sqrt(1008)*1 - (-5*(-3*sqrt(1008) + -1) + -4).\nAnswer: -300*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -h**2 - 4*h - 2. Let n(a) = -3*a**2 - 13*a - 6. Let m(r) = -8*b(r) + 3*n(r). Let s be ((-20)\/5 - -1)*1. Let y be m(s). Solve o + y = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 480484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = -k + 730. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1500938147?\nAnswer: 1500938147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1336702 is divided by 177?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 2418.17029 to 1 decimal place.\nAnswer: 2418.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -233*b - 2. Suppose 0 = -2*z - 3*z. Let w be -2 - ((-1 - z) + 3). Let l be j(w). What is l rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1186831.18 to the nearest 100.\nAnswer: 1186800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does -69 = -67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = 24856 + -24851. Solve 2*x = 3*y - m, -4*y + 2*x = 23 - 29 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 297 is divided by 95?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*d**2 + 59*d**2 + 58*d**2 - 3*d**2.\nAnswer: 98*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*i**2 + 333 + 36*i**2 - 129 - 90 - 114.\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2047271325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2779?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (9*s**4 + 15*s**4 + 15*s**4)*(-5*s + 2*s + 2*s)*(12 - 8 - 27).\nAnswer: 897*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -d**2 - 9*d - 3. Let l be k(-9). What is the units digit of -3 - (-1)\/(l\/(-72))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -52*z**2 - 49*z**2 + 151*z**2 - 52*z**2. Let c(g) = 5*g. Calculate c(n(u)).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 308234, 1232937, 2774112, 4931759?\nAnswer: 7705878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 72720*l**3 + 6*l**2 - 3*l - 15.\nAnswer: 436320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26 - 1 = -h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -i**2 + 24806*i + 4*i**3 + 0*i**3 - 24802*i in the form j*i**2 + g*i**3 + o*i + a and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 - 320\/3*v + 4\/3*v**3 + 44\/3*v**2.\nAnswer: 4*v*(v - 5)*(v + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = m - s, m - 4*s = 5*m - 16. Let v = -22367 + 22372. Put -1, v, m, -5 in decreasing order.\nAnswer: v, m, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 471957 to the nearest integer?\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 91 is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = a**2. Let z = -5 - 3. Let b(u) = -11*u + 8. Let y(d) = 7*d - 5. Let q(g) = z*y(g) - 5*b(g). Determine j(q(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 0*r + 32 = -5*v, -4*v - 13 = r. Let i = 71503 - 71479. What is the highest common divisor of i and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 10661571*z**2 - 2182669*z wrt z?\nAnswer: 21323142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand ((7*m - 3*m - 3*m)*(-3 + 5 - 3) + (-1 + 2 + 1)*(m + 3 - 3))*((5 + m - 5)*(-m + 0*m - 3*m) + m**2 + 0*m**2 + 0*m**2).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w be 12\/54 - (-7)\/9 - -24. Suppose o = -4*o + w, -3*o + 19 = f. Suppose -f*v - 6252 = -4*l, 3*l = -2*v - 2*v + 4717. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -o**3 - 16*o**2 - 18*o + 20. Let a be d(-16). Let v be (a\/49 + (-4)\/14)\/2. Solve -f + v*f = 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1117*g**5 - 31*g**3 - 2*g**2 + 487966*g.\nAnswer: -22340*g**3 - 186*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -58*m - 2 - 61*m + 116*m + 2. Let t(u) = -5*u**2. Give t(j(n)).\nAnswer: -45*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3090*g**4 - 204*g**2 + 3.\nAnswer: 74160*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 107 a factor of 3103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = -5*i, -5*i - 771 = 6*g - 2*g. Let z = 378 - g. List the prime factors of z.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = l**3 - 7*l**2 + 6*l + 7. What is the units digit of v(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.199 + 4.889. Let w = 0.31 + n. Put 0.1, 3, w in descending order.\nAnswer: w, 3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2419\/5556 + -23633309\/45731436. Let q = r - 241825334\/2444607. Let h = q + 1120\/11. Calculate the common denominator of 31\/54 and h.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 6 - 2 - (1 - 1). Suppose -2*v - 5*i - 1 = -4*i, -v = -p*i - 13. What is the least common multiple of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -6305, -3, -190\/7 in increasing order.\nAnswer: -6305, -190\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 289 minutes after 7:22 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6687544?\nAnswer: 2, 19, 43997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 28569127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -5*b + 45. Let d be c(21). Let j = 70 + d. Suppose 3*a - 5*y - 180 - 251 = 0, j = 5*y. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(-3)*(-9)\/24*4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 55894 to the power of 1\/2, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor q**2\/11 + 3907450*q + 41987455131875.\nAnswer: (q + 21490975)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + w - 109 = 2*w, -2*j + 115 = w. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 118*l + 80 = 120*l. Calculate the highest common divisor of l and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = t**2 - 21*t + 70. Let q be y(17). Solve 0 = q*s - 0*s - 4*c - 2, -3*s = c - 10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 121\/210 and -30\/77.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 3*l - 13. Let n be (-72)\/(-66)*11\/2. Give w(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7 + 0 - (-25 - -38)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -21200221110220 + -10?\nAnswer: -21200221111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a = -6 - -8. Suppose -f - 1 = -a*f. Let n be f\/(((-4)\/(-2))\/2). Which is smaller: n or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 0*y = 14. Factor y + l**2 - 7 - l + l**3 - 1.\nAnswer: (l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kkkkkkkkkvkkvkkkkvkk. Give prob of picking 3 k and 1 v.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1593 and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -37 + 147\/4. Which is smaller: c or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4405 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29 = -3*a - 5*g - 26, -g + 45 = -5*a. Let k = a + 22. Suppose z + 6 + k = r, -26 = -2*r - 3*z. Calculate the lowest common multiple of 6 and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g = -6*g + 48. Is 5 a factor of 2\/g + (-248)\/(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = 2*i + 345, -11*i = 5*r - 8*i - 1738. What is u in 10*u**2 + 4*u**2 - 189*u + 352 - 2*u**2 - r*u = 0?\nAnswer: 2\/3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 95.956 - 96. Let c = n - 0.441. Round c to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6 and 753?\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1305832 + 1305822.10027. Let v = 9.9 + l. What is v rounded to 5 decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 1. Let o(a) = a**2 + 3*a - 5. Let c(t) = -o(t) - 2*x(t). Let p(b) = 2*b**2 + 5*b - 5. Let y(s) = 5*c(s) + 3*p(s). Let w(m) = -16*m. Give y(w(g)).\nAnswer: 256*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -14, -146, -506, -1208, -2366?\nAnswer: -4094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -1.8 - -4129.86.\nAnswer: 4128.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-30)\/(-40) - 50\/(-8). What is the greatest common factor of 77 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 p and 1 b when four letters picked without replacement from ppbbppppbppbbpbpbbpb.\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from fbljlwfqllfwwjbq.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 10*d**3 - 38*d**2 - 67*d + 21. Give g(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 49*k**3*v**3 + 20146496*k**3 - 191664*k**2*v**5 - k**2*v**2 wrt v?\nAnswer: 294*k**3 - 11499840*k**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 54 = -m - m. Let g = -8 - m. What is the remainder when 55 is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1733 is divided by 172?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 578 minutes before 6:34 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 833903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 14.7079 times -4.5\nAnswer: -66.18555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 468 divide 79091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 16*s + 17*s = 5941, -k + 1989 = -4*s. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.02 - -0.05. Let c = u - -0.13. What is the nearest to c in -2, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 444927 is divided by 424.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-2)\/3)\/((-22)\/33). Let n be (6 + -7)\/(l*-1). Let i be ((-3)\/(-9) + -1)\/(-2). Is i less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 * 273.814\nAnswer: -547.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put together 4979045 and -1.\nAnswer: 4979044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 4312*n + 4624 wrt n?\nAnswer: 4312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) be the first derivative of 7*g**2 + 7391. Let k(j) = -149*j**2. Give p(k(r)).\nAnswer: -2086*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4 + 2*s**2 - 4)*(-1 + 0 + 5 - 2 - 3 + 3 - 7 + 2 + 3 - 4 - 3 + 5 + (-2 + 5 - 1)*(-2 + 3 - 3)) to y*s + a*s**2 + m and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 7*d - 21. Let f be (10 + -8)*(-2)\/3*-3. What is the units digit of b(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5500 is divided by 657.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/161615951 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out -372 * 1086.\nAnswer: -403992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((66\/(-18))\/(-11))\/((-33)\/18)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.5, -0.00426, 3263?\nAnswer: -0.00426","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 2*s**2 + 10*s + 5. Let b be l(-6). Let q(y) = y**2 - 17*y + 2. Let w be q(b). Solve -20 = -4*u - 0, w*p + u - 7 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*n - 944 = -40*n. Solve 13*a + 58 = -n*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 2*u**3 + 41*u**2 - 230*u - 5001. What is i(-20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - -6 - ((-11 - (9 - -8)) + 12).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 10246 - 10235. Solve -m - u = -5*q, -17*m + 15*m = -q - 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1421\/9 + 161. Let w = -34\/9 + c. Let i = 250 - 250.013. What is the biggest value in w, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -89, -100, -127, -176, -253?\n\"Answer: -m**3 - 2*m**2 + 2*m - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 5, y: 2, a: 1, s: 3, m: 1}. Give prob of picking 1 c, 1 s, and 2 y.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*w**2 - w**3 + 0*w**3 + 129 + 2*w - 42 + 10*w**2 - 65 to a*w + i*w**3 + d + t*w**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1351\/(-579)*(-6)\/(1*-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11597.\nAnswer: 11597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2548*v**2 + 1669*v**3 - 1895*v**3 - 143*v**2 - 2411*v**3 wrt v.\nAnswer: -15822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -1593, -1600, -1607, -1614?\n\"Answer: -7*n - 1586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 42054 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/22 + (-195)\/(-286).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -107328000 rounded to the nearest 1000000?\nAnswer: -107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find b such that 3*b**5 + 12*b**4 + 6*b**3 - 12*b**2 - 9*b = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 4, -2\/3, 1\/5, 79\/4, -2?\nAnswer: 79\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 4*v**2 + 5*v. Let g(h) = 15292*h - 2. Determine g(z(q)).\nAnswer: 61168*q**2 + 76460*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h - 1 = o - 2*o, -2*o + 15 = 5*h. Suppose -z + 4*m = -6116, 0 = o*z - 2*m - 21651 - 8857. What is z rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 5\/8, 15, 5, -0.1, -2\/13, -3?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -62 + 575588?\nAnswer: 575526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*t**3 + 6*t**3 - 2*t**3)*(-26*t**2 + 56 - 56).\nAnswer: -26*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -856 (b) -0.3 (c) -0.6 (d) 2.3 (e) -28 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -4 - -4. Suppose a*i - 6*i = 234. Is (-1432)\/(-13) + -2 + (-72)\/i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -t = -2*k - 3, 0 = -t - 1230*k + 1227*k - 17 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 491*f**2 - 15 + 2*f**3 - 2*f - 491*f**2 as t*f**2 + a + b*f**3 + d*f and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 52 minutes after 2:36 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11308.\nAnswer: 2, 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bbbbiiis?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -b2ba839 - 2?\nAnswer: -b2ba83b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -j + 25. Let a be q(0). Suppose -4*f - 46 = -8*f + 2*i, 2*f = 3*i + a. Calculate the common denominator of -33\/20 and (f\/12)\/((-8)\/(-16)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (12\/46)\/((-958)\/11017)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 59 - 38. Let b = y + 149. Round b to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*h - 3*a = -27*h - 1269, -3*h - 4*a + 757 = 0. What is the remainder when 3313 is divided by h?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 153606 is divided by 966?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose t = -t - 30. Let y be ((-5)\/(t\/(-9)))\/(-1). Suppose -22 + 48 = 13*i. Solve -i = f - y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 179958412 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 4026, 8068, 12110?\n\"Answer: 4042*y - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 14482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 73451.22km in millimeters?\nAnswer: 73451220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -y + 64 - 66 = m, y - 12 = 13*m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = 35*l**3 + 25. Let d(b) be the third derivative of b**6\/20 + 2*b**3\/3 + 2*b**2 - 14. Calculate 25*d(k) - 4*m(k).\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 17*d + 2. Suppose 4*g + 0 = 8. What are the prime factors of m(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 490 + -331. Let f = -158.99999598 + x. Round f to 7 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-10 - 10 + 16*i + 20)*(1 - 1 + i).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1171 + -1100. What is the remainder when 483 is divided by s?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 118123 is divided by 38230.\nAnswer: 3433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/15 + -1 + 24\/35?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out 51.3 + 392.\nAnswer: 443.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = -43 + 56. Let r(g) = 5 - 2*g + 2 + 3 - h*g. What are the prime factors of r(-3)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 28*y**2 + 2*y - 1. Determine l(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 135 and 78246.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) be the third derivative of -7*n**4\/24 + 2*n**3 + 23*n**2. Differentiate h(c) wrt c.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mmp when three letters picked without replacement from {t: 1, g: 1, p: 3, r: 3, m: 2, h: 3}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -26756.43832 to the nearest one hundred.\nAnswer: -26800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -1. Let z(p) = -116*p**2 - 116*p**2 + 341*p**2 + 6 - 108*p**2. Give -5*m(j) - z(j).\nAnswer: -j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = 3*k**2. Suppose -3*o - o = 5*c - 13, -2*c - 2 = -2*o. Let h(v) = 46*v**2 - 81*v**o + 42*v**2. Suppose -g + 3 = -0. What is g*h(z) - 8*l(z)?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is -24\/299 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000000448 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 1, b: 3, j: 1, d: 2}. Give prob of sequence bd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 102\/509 + -496276\/2545. Let v = 186 + s. Find the common denominator of v and -49\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - 20 = 0, 0 = 3*q + 3*d + d + 16. Suppose q = -29*g + 2239 + 13334. Is 33 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.27712*-1118.\nAnswer: -309.82016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = c**2 + 5*c - 3. Let v be 66\/154 - 736\/(-14). Suppose 0 = 50*l - v*l - 12. Determine g(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of (-15)\/30*32\/(-1) and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 100*l + l + 206*l to the form j*l + z and give j.\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = 13 + -18. Let a = 27\/4 - 57\/4. Let y = a + 31\/4. Put p, 0.1, y in increasing order.\nAnswer: p, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 2, h: 3, d: 1, a: 3, v: 3, w: 1}. What is prob of picking 1 h and 2 a?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 4*a**3 - 63*a + 2. Let o(y) = -9*y**3 - y**2 + 124*y - 5. Give -2*o(j) - 5*z(j).\nAnswer: -2*j**3 + 2*j**2 + 67*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -8685*h**4*j**3 - h**4 - 2*h**3 + h**2*j**2 + 123*h**2*j - 169*j**3 wrt h?\nAnswer: -208440*h*j**3 - 24*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 9\/(-16200)*-2874 - (-2 + 1 - -2) and 35\/456?\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 22274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 785 and 1727?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(3 + ((sqrt(209)*-1)\/sqrt(11) - sqrt(19)) + -2)*5)**2.\nAnswer: -3600*sqrt(19) + 69300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 45375917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -k = 8*s - 28, -11*k - 5*s = -14*k - 8*s + 19 + 128 for k.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 5*x**2 - 4*x - 4. Suppose 11 - 3 = -4*p. Is c(p) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 9*b + 63. Let q be h(-7). Suppose q*g = -g + 69. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 420 minutes after 6:25 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = -436489.0039 + 436537. Let w = z - 48. What is w rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -39059 and -2.\nAnswer: -39061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = 22 - 6. Let n be (-628)\/(-28) + (-3)\/7. Let p = -6 + n. What is the greatest common divisor of p and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Divide -54 by -18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*f - 203*l = -198*l, -5*f - 2*l = -21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2*2\/1 - (7 - 6). Let f = 84 - 56. What is the second derivative of 20*q - f*q + q**k - q**3 - 22*q**5 wrt q?\nAnswer: -440*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 8877, 8927, 8977, 9027?\n\"Answer: 50*b + 8827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = 103179 + -103176. Let o = 4.5 - 0.5. Sort -1, h, 5, o in descending order.\nAnswer: 5, o, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/105 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 513336 is divided by 322.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 5054*s - 5759*s - 4935 = 0 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 7488866332929\/14417577639304 + 2\/191702713. Let c = n - 88\/553. What is the common denominator of c and -17\/88?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 5759339, 5759341, 5759343?\nAnswer: 5759345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -205, -137, -81, -37, -5?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 5 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -43\/66984 and -139\/216.\nAnswer: 602856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 440704 + -517?\nAnswer: 440176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 570 and 1530.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let 2*i**2 - 3262*i + 3260 = 0. What is i?\nAnswer: 1, 1630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*q + 2*m - 502, 0 = 47*q + 4*m + 509 + 1741 + 3731 for q.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in eighteen fifths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wwbiwiimlmiipwi. What is prob of picking 2 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 644, -5, -40, 5 in descending order.\nAnswer: 644, 5, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3 + 1. Suppose f*m - 3 = 3*m. Factor 3*j**m - 8*j**2 + 0*j**3 + 4*j - j**4 + 2*j**3.\nAnswer: -j*(j - 2)**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (5\/2*4\/(-2))\/1. Put -3, p, 2 in decreasing order.\nAnswer: 2, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 24 - 3. What is the greatest common divisor of 21 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-2\/3)\/(q**(-6)*q)*(q\/q**(-1))**(-9\/7))\/(q**2\/q*q**5*q**0*q*q**4) assuming q is positive.\nAnswer: q**(-194\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*f = 6*f - 36. Let t be 7\/(-21) + (-78)\/f. Solve t = 6*k + 10 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1240614153 + 4387?\nAnswer: 1240618540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*y - 5*q = 18*y - 86, 5*q + 343 = 413 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = w**3 - 2*w**2 - 3*w + 1. Let m be a(5). Let j be 3*(8\/(-112) + (-186)\/(-252)). Suppose j*t - m = -11. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 56969 is divided by 18886?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:16 PM and 7:08 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = 39171221\/168 + -233163. Find the common denominator of v and 133\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -3121910 divided by 1560955\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0.1 or 2.761?\nAnswer: 2.761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 86*s + 56*s + 46*s - 188*s - 2871*s**2.\nAnswer: -2871*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5088 is divided by 234?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 4695488 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -259.69 and -5?\nAnswer: 254.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 786*s**2 - 31*s**2 + 751*s**2.\nAnswer: 1506*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 28792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i = -2*i - 37. Let t = -33 - i. Solve 3*o - t*o + 5*r - 30 = 0, 0 = 2*o + 5*r - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 422*x - 157*x - 131*x + 136 = 168*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 134 a factor of 34794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -i**3 - 4*i**2 - 6*i - 2. Let y be d(-2). Solve 0 = -x - y*r - 2, 5*x + 5*r + 5 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j**(-4\/3)*j)\/j*j*j**(2\/15))**(-21)\/((j*(j\/((j*j**(-3))\/j))\/j*j**4)\/(j**(2\/3)*j*((j\/((j**7*j)\/j*j)*j)\/j)\/j)) assuming j is positive.\nAnswer: j**(-467\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*v - 2*g - 16, 2*v - g + 4 = 6*v. Suppose -5*q - v*j = -53, 4*j = -q + 2*j + 17. Suppose -4*m + 3*a + 4 = m, 0 = -a + 2. Solve p + m*p = -q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -1\/69 and -31\/726966?\nAnswer: 16720218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = u**3 + 11*u**2 + 9*u + 1. What is r(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 198100 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 0 (b) -141468 (c) 2 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -2*d**2 + 94*d + 363. Calculate z(-4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 22410, 22429, 22484, 22593, 22774?\nAnswer: 23045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 22 = 2*d + d, 3 = d + 5*n. Let a = d - 6. Sort a, -0.2, 1\/2.\nAnswer: -0.2, 1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 + 7 - 7*y)*(2*y**3 + y**3 - 2*y**3) + 0*y**4 + 0*y**4 + y**4.\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2 + 6*c - c - c wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25609127?\nAnswer: 59, 89, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.4, -2\/21, 3, 0.23, -13?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = a**2 - 20 - 143*a + 282*a - 146*a. Is 39 a factor of o(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1\/186 - 59\/558. Let f = 0 - 1. Which is the second smallest value? (a) y (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a + 3*v - 127 = 0, -334027*a = -334022*a - 5*v + 225 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 154788 (base 11) to base 7.\nAnswer: 2021143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*t + 8*t + 3*t + (4 + 2 - 5)*(158*t - 145*t + 88*t - 449*t) to the form s + w*t and give w.\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 0*c + 4 = 0, -2 = s - 3*c. Let g = 9 + -6. Suppose 0*j - 5*j = 3*n - 8, 2*j = -g*n + 5. Do s and j have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -20 + 36. What is the derivative of 75*j**3 + 2*j + x - 74*j**3 - 2*j wrt j?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 144 and 2.4.\nAnswer: 345.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -5 - -51?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = 5*o**2 - o - 1. Is d(2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 6\/161 or 0?\nAnswer: 6\/161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 302496519?\nAnswer: 3, 13, 7756321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(208))**2 + 1.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = q - 4. Suppose -24 = -q*b + b. Calculate the remainder when b is divided by 3\/(-2)*(-9 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 218503568 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3231426*g*l**4 - 3*g*l**3 - 6*g*l**2 + 5*g*l - 5*l**3 - 3*l**2 + 3*l + 67948 wrt l.\nAnswer: 77554224*g*l - 18*g - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -331 - -332. Let u(i) be the first derivative of -7*i**2\/2 - 1. Give u(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -12*d - 52. Let q be o(-19). Let j = q - 68. What is the greatest common factor of 162 and j?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0 - 2\/((-2)\/2). Let o be (0 - -3)*29\/(-29). Sort -1, r, o.\nAnswer: o, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -58563 divided by -22\nAnswer: 58563\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 0, 10, 127 in decreasing order.\nAnswer: 127, 10, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 875 is divided by 263?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (-84)\/(-72) - (-208)\/(-96)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 209 minutes after 1:56 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*h - 79443 - 51621 = 0. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 817.\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*o - 24 = -3*d + 3*o, 2*o = d + 2. Suppose 3*f + 5*g = 76, -4*g = -d*f - f + 176. What is the remainder when 61 is divided by f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 917.0427 tonnes to kilograms.\nAnswer: 917042.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*z + 11*z - 7904 = 0. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1199*d = 1191*d - 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 246\/(-3813) + 88\/(-558)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 21*f + 2. Let w(l) = -39*l**2 - l. What is g(w(k))?\nAnswer: -819*k**2 - 21*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 256229290.\nAnswer: 2, 5, 25622929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 10069, 20089, 30109?\n\"Answer: 10020*q + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 15\/1124 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) be the second derivative of u**5\/20 + u**4\/3 + u**3\/6 - 5*u**2\/2 + 11*u. Calculate s(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2459 = 190*j + 42*j + 557 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 951725 = 3*b + 2*c, 3*b + 6*c = 5*c + 951724. Is (-12)\/(-42) - b\/(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(13) + -1*(4 + sqrt(13)) + (sqrt(13) - (0 + sqrt(1573))).\nAnswer: -10*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = 78*b - 1068. What is the remainder when 2617 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1023*w + 1027*w - 80 = 0 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -19 + 8 + 12 + -1 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.02 - 0.08. Let a = 0.7 - 0.4. Let y = 1.3 - a. Is l at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:36 AM and 12:25 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1\/3, 2\/17, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6486 is divided by 372?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, 0.4, -15.4, 1.\nAnswer: -15.4, 0.1, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + 4 + (3*1*sqrt(612))**2 + 5.\nAnswer: 5517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) be the first derivative of 2 + 2\/3*w**3 - w**2 + w. Let p be z(3). What is the highest common divisor of 117 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 29*p - 11. Let d(s) = 3*s + 1103 + 3*s + 1093 - 2198. Determine 4*a(i) - 22*d(i).\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) be the second derivative of -b + 0*b**4 + 0 + 0*b**6 + 1\/28*b**7 + 1\/4*b**3 - 3\/20*b**5 + 0*b**2. Factor f(n).\nAnswer: 3*n*(n - 1)**2*(n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 2*j**2 - j + 17. What is the tens digit of o(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4 + c**2 - 178*c**3 + 178*c**3 + c**4 to the form y*c**3 + s + o*c + v*c**4 + p*c**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = 60 - 241\/4. Let f be 2\/8*-11 + 4. Which is greater: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jir when three letters picked without replacement from jrjjimijimjmimi.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) be the second derivative of o**4\/12 - 3*o**2\/2 + o. Let t(s) = 2*s**2 - 2*s. Let p be t(2). Does 8 divide w(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 118396*q**3 - 591976*q**2 + 473564*q + 16 = 0. What is q?\nAnswer: -1\/29599, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 27070985?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d = -24*d + 96. What is the highest common divisor of d and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/5*(-400)\/48)\/(10\/36).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1.3 - 6.7. Let x = f - -7.93. Let n = x + 0.068. Round n to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 2*w**2 - 92182*w - 737574. Calculate q(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x = -9 + 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (16\/(-80))\/((-5)\/(-10))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = 7*n**2 - 5*n - 1. Let x(a) = -5*a**2 + 5*a + 2. Let d(r) = 2*h(r) + 3*x(r). Let q(v) = -v**2 + 4*v + 3. Calculate -4*d(j) + 5*q(j).\nAnswer: -j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*a - 0*a - 8, 4*b = 4*a + 28. Solve 9*p + 2*p + b = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rrlreroooeo. What is prob of picking 2 o?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) be the second derivative of m**5\/20 + 4*m**4\/3 + 4*m**3 + 25*m**2\/2 + 201*m. Calculate the remainder when r(-14) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 2443442089 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13225394?\nAnswer: 2, 7, 13, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*s + 37 = 89. Solve 2*u - s*u = 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 456998*d - 6397972. Determine b(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 62*q**2 + 21*q - 4. Is 52 a factor of j(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 2, w: 2, e: 2}. Give prob of picking 1 w and 1 h.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 488 is divided by 134?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*r - 2*r = -s - 13, -r + 11 = 5*s. Let o = 27 + s. Suppose x + 3*x - 16 = 0, -v + 198 = -3*x. What is the greatest common factor of v and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bj when two letters picked without replacement from {b: 4, j: 2, d: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 214971713 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -9*s**2. Let w(y) = -30*y - 11. Calculate w(v(t)).\nAnswer: 270*t**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1407 - 1276. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*d - 7*d - 25*d)*(-16*d**3 + 3*d**3 - 4*d**3 + (d + 2*d - 2*d)*(-6*d**2 + 3*d**2 + d**2)).\nAnswer: 665*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -1050 divided by 350?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 33882 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(13) - (-2 + (sqrt(117)\/sqrt(9))**2) - (sqrt(143)\/sqrt(11) + 1)**2.\nAnswer: -25 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -649*h**2 - 4*h + 103. Let g(q) = -646*q**2 - 6*q + 104. Let p(w) = -4*c(w) + 3*g(w). What is the second derivative of p(n) wrt n?\nAnswer: 1316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000145 to 7 dps.\nAnswer: 0.0000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-k + 2*k**2 + k)*(-3*k + 4*k - 2*k)*(47 + 19 + 2)*(2*k + 0*k + 0*k)*(-3 + 4 - 3).\nAnswer: 544*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 1.253911 rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 3184 + 372?\nAnswer: 3566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 t when two letters picked without replacement from {m: 5, t: 11}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (190\/(-19))\/(-20)*-10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is m in 4*m**4 + 23337200*m**3\/3 - 31116308*m**2\/3 - 38895352*m\/3 + 5186048 = 0?\nAnswer: -1944768, -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 437687 - 115549223\/264. What is the common denominator of h and 53\/16?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - 185 = -4*n, -2*s + 75 = 2*n + s. Calculate the remainder when n is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3358742 = -532*c + 74*c + 7721194. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -168 - -170. Solve 0 = -n*f + 5 - 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + -2 + 2 - 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m + 26100 = 6*m. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4986345*k + 7779830 wrt k.\nAnswer: 4986345","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - (8 - 3 - -3) - (1 - 2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4939 is divided by 217.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 44\/143*-13*1\/((-6)\/(-1))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 136\/(-119)*7\/6.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that -102*c**5 - 33886*c**4 - 41028*c**3 + 5296*c**2 = 0.\nAnswer: -331, -4\/3, 0, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-16)\/(-32) - (-683)\/2. Let n = t - 324. Calculate the lowest common multiple of 171 and n.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((4*m - m - 2*m)*(3 + 1 - 3) + 2*m + m - 8*m - m + 6*m + 3*m)*(m + 2 - 2).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -4652596 divided by 4652596\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 690? (a) -2 (b) -94 (c) -226\/5 (d) -0.3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -14? (a) 8 (b) -210 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -53*t**2. Let l(h) = 3*h. Determine l(r(w)).\nAnswer: -159*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -42*r + 192. Let u(f) = 12*f - 54. Let x(i) = -5*m(i) - 18*u(i). Calculate x(10).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 5896 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 479453 to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4 - 5940*i**2 + 2970*i**2 + 2971*i**2 + 16*i**3 to t + x*i**2 + d*i + s*i**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = -63 + 67. Which is the nearest to -1? (a) -1\/7 (b) u (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 30 + -28. Find the third derivative of -9*x**t - 10*x**3 + 6*x**3 - 12*x**2 wrt x.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 7302*t**3 + 3867*t**3 - 144173455*t**2 + 144173453*t**2 as d*t**3 + u*t + g + s*t**2 and give d.\nAnswer: 11169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = 5\/7 + -13\/28. Put f, 3, -1 in decreasing order.\nAnswer: 3, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**14\/(p*p**(-3\/10)))\/(p**(4\/7)\/((p\/((p*p**(-2))\/p)*p)\/p)) assuming p is positive.\nAnswer: p**(1101\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-6)\/(-40)*(-64)\/(-72). Let n = -3 + -18. Let z = -20 - n. What is the nearest to -1 in z, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.2 + 25972175884.\nAnswer: 25972175884.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5403164063.\nAnswer: 11, 491196733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -26*p**3 - 5*p**2 + 5*p. Let m be ((-114)\/27)\/(-19)*-18 - -2. Let s(c) = 13*c**3 + 2*c**2 - 2*c. Determine m*w(i) - 5*s(i).\nAnswer: -13*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 5 - 20*v - 5 in the form u*v + z and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*u = 5*u. Suppose 2*x - 854 - 177 = 5*r, -5*x - 2*r + 2534 = u. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 55 + -47. Let w(c) = -c + 10. Calculate w(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -21022 (base 6) in base 15?\nAnswer: -c82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*u = 6*u + 1174. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000005783 rounded to 7 decimal places?\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -211 divided by 10\nAnswer: -211\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 553 minutes before 11:04 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -c**3 + 14*c**2 + 411*c - 6035. Determine s(18).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*s**3\/6 + 536105*s**2\/6 - 1072300*s + 3216990.\nAnswer: 5*(s - 6)**2*(s + 107233)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1068801446.\nAnswer: 2, 31, 1087, 15859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 2*x. Let r be q(-1). Let i(j) = -4*j**2 - 2. Let d(g) = 5*g**2 + 3. Let w(o) = r*d(o) - 3*i(o). Let t(y) = y**2. What is t(w(h))?\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -67 >= -879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -20001 (base 5) to base 4\nAnswer: -103203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k = -b - 6, -62 + 70 = -4*k - 2*b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -20580630 rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/9, -19, -1531, -1\/5 in descending order.\nAnswer: 2\/9, -1\/5, -19, -1531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 9451 divided by -135\nAnswer: -9451\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 6462*x + 7537 - 15073 + 7536 in the form s + a*x and give a.\nAnswer: 6462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*a + a - 286 = -2*q, 0 = -q - 2*a + 134. What is the least common multiple of 12 and q?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0, 0.31, -2259066?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*t - 3*u + 10, 11 = 2*t + u + 5. Factor 4*i**3 - 14 - 168*i - i**3 - 9*i**t - 1 + 141*i.\nAnswer: 3*(i - 5)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -k**3 + 14*k**2 + k - 19. Let b be q(14). Let r = -1 - 2. Sort 4, r, b in descending order.\nAnswer: 4, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(110)*2)\/sqrt(2)*-1)\/(sqrt(99) + -5*(-1*sqrt(99) - sqrt(99)))*3.\nAnswer: -2*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 290\/(-29)*4\/3*-2*(-27)\/(-36).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -2.7 times 0.37786\nAnswer: -1.020222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t = 5*i - 25, -6*i + 11*i + 2*t - 19 = 0. Which is the biggest value? (a) 5 (b) i (c) 27\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) be the third derivative of -n**5\/15 + 7*n**4\/2 - 220*n**3\/3 + 1447*n**2. Factor y(z).\nAnswer: -4*(z - 11)*(z - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Let z be ((-5 - 4)\/99)\/((-14)\/42). What is the closest to 0 in z, -0.01, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.2*-465616\nAnswer: 93123.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Multiply 6 and -23922.\nAnswer: -143532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18*(10\/140*-7 - (1 - 1)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = z**3 + 5*z**2 + 6*z. Let m be x(-4). Let n = m + 24. Let s be (n\/156*-3)\/(0 + -2). Which is the closest to -8\/7? (a) 2 (b) -3\/2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -246195884561422 + 0.3.\nAnswer: -246195884561421.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o**2\/13 - 1448*o\/13 + 262088\/13 = 0. What is o?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*n + 21 = -8*n. Let q = 0 + 4. Suppose -n*j - 4*p = -17, -p - q*p = 4*j - 22. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 9987566, 9987564, 9987562, 9987560?\n\"Answer: -2*a + 9987568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-24)\/10 - -2) + 81\/15. Suppose 0 = -5*m + u - 2 - 0, 0 = 2*m + v*u - 10. Which is the closest to m? (a) 0.1 (b) -4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + 2 + (0 - 6) - (60 - (52 - -28)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1311447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.4 + 0.3. Let n = -10 - -15. Let y = -26 - -25.7. What is the nearest to u in n, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (1 - (-5)\/15)*-6. Let f be (-2)\/v - 4\/16. Factor 2\/3*o**2 + f - 2\/3*o.\nAnswer: 2*o*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -l**3 - 6*l**2 - 4*l - 12. Is m(-7) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 960 + -904. What is the least common multiple of d and 49?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) be the first derivative of 2*f**3\/3 + 15*f**2\/2 + 7*f - 9. What are the prime factors of i(-10)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 211.8 - 199. Let p = -14.8 + u. Which is the closest to -19\/4? (a) 2 (b) -5\/4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 325 minutes after 2:09 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(1872) + 1) + -3)**2 + sqrt(39)\/(sqrt(3) + sqrt(12)\/sqrt(4)) + -1 + 1*sqrt(13).\nAnswer: 195*sqrt(13)\/2 + 29952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0 - 3*s**2 + 1 + 0 - 2 to the form m*s + f + y*s**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fii when three letters picked without replacement from iiffu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23 = 2*i + m, -5*m + 4*m = -3*i - 37. Let s be (-28)\/6*i\/(-105). Let y = -641\/120 + s. Find the common denominator of -59\/38 and y.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -300 + -4?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-one halves of a week in hours?\nAnswer: 2604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3.4 + 17.4. Let t = y - 12. Let l = -2.185 - -0.185. Which is the third smallest value? (a) l (b) 5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 333 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 12, j: 3}. Give prob of sequence ijij.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 9472 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -126*d - 885. Let m be x(-7). Let v(u) = 9*u - 4*u + 1 - u. What is v(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*q + 81 = 21. Let p be ((-33)\/q + 1)*2\/(-3). Let h(y) = -3*y - 2. Let g(t) = -t - 1. Give p*h(u) - 6*g(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -4 (b) 0.056 (c) -5\/4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 168 and 40824.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -166*v - 14 + 26 - 12 to h*v + t and give h.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 2703.065g to nanograms.\nAnswer: 2703065000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-794)\/(-1) - 7\/(-21)*3?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p - 105 = -305. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -938 or -3.5327?\nAnswer: -3.5327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 13, -18.\nAnswer: -18, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10 - ((-45 - -14) + -36) - (-3 - -1 - -1).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 34150*o - 2*o**5 + o**4 - 36*o**2 - 33209*o - o**4 wrt o.\nAnswer: -40*o**3 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 373429477?\nAnswer: 19, 139, 141397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -18*k - k - 13*k + 2*k. Suppose 35*x - 23854 = -23889. Determine g(x).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 8 and 3202384?\nAnswer: 3202384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 8030 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 46147 (base 10) in base 6?\nAnswer: 553351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*a**(-1)*a*a)**(-20)*(a\/a**0)**50)**6 assuming a is positive.\nAnswer: a**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 7*s + 169. Suppose -50*t + 54*t = -5*l + 73, 3*l = 4*t + 31. Does 16 divide f(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7309516794?\nAnswer: 2, 3, 23, 4093, 12941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 630 minutes before 5:39 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1284 divided by 321?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*i + 4*o = -13852, 24*i - 19*i = 4*o + 8665. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:49 AM and 6:11 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j be 0\/(6 - 3)*-1. Suppose -l + 5 = j, -5 = 5*y + 2*l - 40. Sort -3, -1, y.\nAnswer: -3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gol when three letters picked without replacement from {l: 2, o: 1, v: 1, y: 2, r: 1, g: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let -3*s**5\/2 + 9*s**4 - 15*s**3 + 33*s\/2 - 9 = 0. What is s?\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = -45 + 53. Suppose 4*v = -2*x + 200, -2 + k = -3*x. Suppose 4*m = -15 + v. Calculate the remainder when 70 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -6*r**3 + 3*r**2 + 2*r. Let o be b(-2). Suppose 0 = 3*t + 2*t + 20. Let q = t + 11. What is the greatest common factor of o and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -6 + 6.06. Let z = 6.6 - 5.66. Let g = a + z. What is the nearest to g in 3, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) be the second derivative of -9\/110*d**5 - 1\/231*d**7 + 16*d + 2 + 0*d**2 + 1\/33*d**6 + 7\/66*d**4 - 2\/33*d**3. Find y, given that w(y) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2933 = 718*m + 1375 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 140757 is divided by 153?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 31202 (base 4) to base 5\nAnswer: 11431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 7 - -13891790.\nAnswer: 13891797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -16*h + 206. Let t(y) = -16*y + 192. Determine -3*m(d) + 2*t(d).\nAnswer: 16*d - 234","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -66, -55, -28, 21, 98?\n\"Answer: c**3 + 2*c**2 - 2*c - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 231033010011 - 3?\nAnswer: 231033010002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 504 divided by 14131\nAnswer: 504\/14131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -4*w + 2. Let y(d) = 9*d - 5. Suppose 2*i - 5*i - 11 = n, 5*i + 25 = -5*n. Give i*y(j) - 7*k(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 8 divided by -8795979\nAnswer: -8\/8795979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) be the third derivative of u**6\/160 - 27*u**5\/40 - 57*u**4\/32 + 55*u**3\/4 - 55*u**2 - 10*u. Factor w(b).\nAnswer: 3*(b - 55)*(b - 1)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 326581 by 5.\nAnswer: 326581\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -86475 - 714?\nAnswer: -87089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 11696 and 4352?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -1, 174 in increasing order.\nAnswer: -2, -1, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u be 0 - 0\/(-1 - -2). Let x = 5 + -3. Suppose -x*n + 4*n + 5*k - 24 = 0, 4*k - 16 = 0. Solve -10 = -n*q - u for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 143439 * -5.\nAnswer: -717195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 9538577 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Add 99.0584 and -0.3.\nAnswer: 98.7584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = t - 10. Let j be i(13). Solve j*x + 8 = 7*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n**2 + 305730*n + 23367708225 = 0. What is n?\nAnswer: -152865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 7*o**3 - 104*o**2 + 22*o - 22. Is m(25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -142, -36, 234, 746, 1578, 2808?\n\"Answer: 13*y**3 + 4*y**2 + 3*y - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 3*j - 8. Let v(l) = -6*l + 17. Let k(s) = -7*m(s) - 3*v(s). Suppose 4*y - 2 = -18. Let p(r) = -r + 2. Determine y*k(z) + 11*p(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a + 6 = 38. Let y be (2 + -4)*(-1 + -3). Suppose -6*u = -a*u + y. Solve 2*w + 2 = u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -55241 greater than or equal to -7\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:05 AM and 8:51 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i**(1\/5))**31*(i*i\/i**(-1\/13))\/(i*i\/i**6))**(-3))**(-25) assuming i is positive.\nAnswer: i**(11970\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.2 + -0.2. Suppose 27 - 17 = -2*c. Let k = 1.4 - 1. What is the nearest to f in k, c, -1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 422534?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 28261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(192)*-2)**2 - sqrt(30)\/(((sqrt(90) - sqrt(10)) + sqrt(10))*5).\nAnswer: -961*sqrt(3)\/15 + 772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -670.51 - -675. Let p = h - 4.3. Which is smaller: p or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = 3*f**3 - 21*f**2 - 34*f - 35. Let h(v) = 10*v**3 - 61*v**2 - 106*v - 107. Let g(t) = 2*h(t) - 7*y(t). Give g(26).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*y**2 - 5*y**2 + 16*y**2.\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) be the second derivative of -5*u**3\/2 - 2*u. Let g(k) = 28*k**2 + 24*k**2 + 26*k**2 - 76*k**2. What is g(m(v))?\nAnswer: 450*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1549 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -10 in -0.13, -0.1, -0.3, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -38*c - 102*c - 76*c = -368*c + 5928 for c.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 242*v**2 - 10*v + 4. Let u(i) = -i + 3*i + i**2 - 3*i. Let l(o) = -s(o) + 3*u(o). Let w be l(4). Round w to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -750 = -6*v - 702 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 19640.4627 rounded to the nearest one hundred?\nAnswer: 19600","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 4*y**3 - 168*y**2 + 637*y - 1149. Give u(38).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 45\/14803628 and 17\/63.\nAnswer: 133232652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c + 16. Let g be f(11). Suppose 0 = o, -12 = 3*q - g*q + 4*o. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -60875*r + 47. Let z be p(-10). Let d = z + -1182797. What is d rounded to the nearest ten thousand?\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23758629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -28 - -6031197?\nAnswer: 6031169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000518263381 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.002620039081 rounded to 7 decimal places?\nAnswer: 0.00262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ddddodooq. What is prob of sequence dodq?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) be the second derivative of 3*m**5\/20 - 3*m**4 + 9*m**3\/2 + 33*m**2 + 2*m + 740. Determine i, given that s(i) = 0.\nAnswer: -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 91\/1072 and -11\/690456.\nAnswer: 92521104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - (10 + 78\/(-12))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 15971471531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + -18 + 1796 + -1813?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3532.\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -0.171721, 2\/11, -12\/19 in increasing order.\nAnswer: -12\/19, -0.171721, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 11*f**2*i*w + 11968*f**2*l**3 - 3*f*i*l**2 - 3*i*l**3*w + 2*i*l**3 + 29*l**2 - 15*l*w wrt l.\nAnswer: 71808*f**2 - 18*i*w + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert -d9a (base 16) to base 3.\nAnswer: -11202222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -185 = 73*y + 107 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17515789.\nAnswer: 17515789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 660 minutes after 9:37 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5747 is divided by 478.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -8634, -10055, -12456, -15843, -20222, -25599, -31980?\n\"Answer: -h**3 - 484*h**2 + 38*h - 8187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (31 - 30) + 0 + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -569279, -569271, -569263, -569255, -569247, -569239?\n\"Answer: 8*j - 569287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 1 w when two letters picked without replacement from {v: 4, x: 1, e: 1, w: 2, g: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = 3*k + 174. Let m(j) = -3*j + 2. Let g(v) = -5*m(v) + x(v). Let z be g(-3). What is the greatest common factor of z and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.02125 - 6.97875. What is the nearest to z in -1\/6, -2, 1\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 14003 and 5093407?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/11, 1, 3, -6, -0.053 in increasing order.\nAnswer: -6, -0.053, 2\/11, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a be (((-255)\/6)\/5)\/(605\/(-594) + 1). Which is bigger: a or 5976\/13?\nAnswer: 5976\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q + 10 = -3*a - 7, -2*a - 2*q = 14. Let r = 3 + a. Let o(g) = -7*g - 3. Calculate o(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 2 b when three letters picked without replacement from {f: 1, o: 2, h: 1, b: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -13\/29 and 47\/23.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = l**2 + 1. Let g be v(2). Suppose -g = -5*u + 10. Suppose -2*i = -n - 15 - 2, -2*i = 3*n + u. Are i and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 16\/12*(5 + -2). Suppose 3*z - 4 - 4 = s*r, r - 3 = 2*z. Sort z, -3\/7, -0.2.\nAnswer: z, -3\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-3 + 9 + 4\/2)*3. Suppose 0 = -5*k - i + 79. What is the highest common divisor of 99 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -30.5 + 30.5000326. What is i rounded to six dps?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -392\/11 + 377\/11. Find the common denominator of k and ((-10)\/25*(-10)\/(-14))\/(-2).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.109 + -0.009. Let r = 5.7 + -6. Which is the third smallest value? (a) -3 (b) x (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -10000 (base 2) to base 5\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-28)\/(-1*2) + 1. Suppose w + 49 = 4*d. Let i = 524 - 518. What is the least common multiple of d and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 u when two letters picked without replacement from udoyooou?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide -2618642 by -41.\nAnswer: 2618642\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -15 + 21 - (30 + 15)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = f**3 + 3*f**2 + 2*f - 2. Let l(z) = -z - 3. Let y be l(-7). Suppose 7*r + 6 = y*r. Let m be (-5)\/r*30\/(-25). Calculate p(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*s - 12*s = -660. Suppose 0 = 5*k + 2*l - 27, -5*l + s = 2*k + 3*k. Let b be (-1)\/3*(-2 - 1). Solve -j = -k + b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 15 and 0.329?\nAnswer: 4.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -150 + 150 - 238*x**2 + 20*x**2 to the form p*x**2 + k + f*x and give p.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g be 3\/(3\/5) - -1. Let s = 1 + 0. Let r = g - s. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 9 = 2*d. Which is bigger: d or 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 3*s + 5. Let o be z(4). Suppose 81 = 5*b - 959. Let l = -89 + b. What is the highest common divisor of l and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) be the third derivative of 0*h - 1\/2*h**4 + 0*h**3 + 1\/70*h**7 - 6*h**2 - 1\/8*h**6 + 2\/5*h**5 + 0. Factor f(i).\nAnswer: 3*i*(i - 2)**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -99336 = -21*n + 30360. Does 24 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find a such that -2*a**2\/11 - 59512*a\/11 = 0.\nAnswer: -29756, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 5.751643 centuries in decades?\nAnswer: 57.51643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be -580*((-2)\/(-9) - (-2726)\/(-36)). Let a = 62383 - y. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(304) + (sqrt(304) + (sqrt(304) - (sqrt(304) + 0) - sqrt(304)) + -4)**2 + sqrt(304)).\nAnswer: -32*sqrt(19) - 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 49*m**3 + 9. Let y(i) = i**3 - 2. Determine -j(t) - 5*y(t).\nAnswer: -54*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -41223 divided by 1057?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -70679*f + 5077. Is l(-26) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 2018642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from akpkhzzaraahzkzaapak. What is prob of picking 1 h, 1 r, and 2 z?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/(-77))\/(703\/133 - (1 + 4))\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 3*z. Let m(q) = -5*q**2 - q + 5. Let x(o) = 1. Let f(d) = m(d) - 4*x(d). Let c(a) = -7*a**2 - 6*a + 1. Let p(y) = -c(y) + f(y). Calculate p(r(u)).\nAnswer: 18*u**2 + 15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = 855 - 791. What is the highest common divisor of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3212 + 3216. Solve v*n - 13 = -25 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 223*j - 891*j + 222*j + 235*j + 234*j - 2. Let d(w) = -15*w. Determine p(d(x)).\nAnswer: -345*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4 - -361622?\nAnswer: 361626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = -18, -55*q + 52*q + 60 = 10*c. Solve 66*k - 3 - 195 = q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 2\/11 + (-182844)\/(-2772) + -61\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 3 + 4*p - 5*p + 0*p. Let a = -8 + 4. Calculate d(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1070834?\nAnswer: 2, 23, 23279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert -31 (base 4) to base 13.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/(n**(-7)*n)*n\/(n\/n**(1\/3)))\/(n**2)**(-48)*(((n\/n**(-1\/2))\/n)**(2\/123))**(-22\/5) assuming n is positive.\nAnswer: n**(21176\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s be 24\/9*2\/((-12)\/9). What is the nearest to -2\/5 in 5, 18, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - 76 = 2*b + 467, 0 = -b + 4*o - 274. Let w = 274 + b. Solve 47 = w*y + 27 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -l**5 + l**5 + 3*l**5 - 16*l**5 + 15*l**3 - 15*l**3 + (2*l**5 - 2*l**5 + 2*l**5)*(4 + 1 - 3) + (4*l**4 - l**4 + 4*l**4)*(-2*l + 0 + 0).\nAnswer: -23*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 14*p**3 + 8*p**2 + 29. Let x(n) = 9*n**3 + 5*n**2 + 19. Let u = 37 - 32. Suppose u*l + 40 = -0. Let d(k) = l*x(k) + 5*b(k). Differentiate d(j) wrt j.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3\/2? (a) 1\/3 (b) 0 (c) -49 (d) -14.4041\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-14)\/(-18)*7392\/4312.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 50178?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -32*p**2 - 2*p - 29. Let q(g) = 321*g**2 + 21*g + 291. Let a(k) = 2*q(k) + 21*y(k). Find the first derivative of a(m) wrt m.\nAnswer: -60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 81659 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -152*d - 157*d - 249 - 158*d + 471*d.\nAnswer: 4*d - 249","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kzsk when four letters picked without replacement from {s: 1, t: 6, k: 3, o: 4, i: 1, z: 4}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 150623 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 54\/5 of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 385.7060869 - -0.1167\nAnswer: 385.8227869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*a - 4 + 7*a + 2*a - 2*a to t + c*a and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1246 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3128 + -1280. What are the prime factors of (x\/(-55))\/((-2)\/20)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13884063889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 33232 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 3 + 2)*(3*a - 5*a + 3*a)*(4 - 4 - 4).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k = -211541900935981\/37596 - -5626712979. Let w = 5\/3133 - k. Let r = -379\/304 + 32\/19. Find the common denominator of r and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -17 and 524.6.\nAnswer: -8918.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = -338 - -347. Let n be 2 + (-9 - -5) + o. Suppose 18 = -2*b + 326. Calculate the highest common divisor of n and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*s = -9*s - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 360 minutes after 10:25 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:58 AM and 11:47 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3 + -1. Let t = 2558 + -3033.8. Let q = t - -476. What is the closest to q in 1, 2\/3, a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -15, -74, -179, -336, -551, -830?\nAnswer: -1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((2\/2)\/(45\/(-10)))\/((-1749)\/41976)?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -l**3 - 17*l**2 - 17*l + 12. Determine f(-16).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 5752 = -3638. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - x - 3*a = 45, 0 = a. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*f - 2*f + 12*f + (-1 - f + 1)*(-2 + 2 - 2) + f - 2*f - 3*f - 1 + 1 + 2*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -1101110110000001 (base 2) to base 13\nAnswer: -1ca6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 11.94545 rounded to 1 dp?\nAnswer: 11.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = 12 - 18. Let a(i) = -i**3 - 7*i**2 - 7*i - 4. Let m be a(k). Is 0.3 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = s**3 + 4*s**2 - s - 2. Let k(v) = 4*v + 37. Let j be k(-21). Let b = -52 - j. Determine q(b).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*m - 4*m + 5*m + (0*m - m + 0*m)*(5 + 3 - 4) - 2*m + m + 0*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply -212489 and -0.025.\nAnswer: 5312.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:45 AM and 3:13 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in 14, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*s - 1 = -1. Let x(k) = k - 2*k + s*k + 227 - 232. What is x(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that -5*c**4 - 140*c**3 + 320*c**2 + 27440*c + 129360 = 0.\nAnswer: -22, -14, -6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.01, -62.6, -5, 0.2, -1\/6, 0.02?\nAnswer: -62.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Product of 2 and -157.3938.\nAnswer: -314.7876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = f**3 + 5. Let a be p(0). Let b(w) = -5 + w + a + w. Let y(d) be the second derivative of -d**4\/6 + d. Determine y(b(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -35*u - 32. Let z(c) = 246*c + 244. Let s(w) = 15*g(w) + 2*z(w). Let x(b) = -22*b + 5. Give 5*s(l) - 8*x(l).\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.4505 + 85.826.\nAnswer: 85.3755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 655182?\nAnswer: 2, 3, 11, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide -9 by 444778.\nAnswer: -9\/444778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 3 (b) -0.149 (c) -0.4 (d) 2\/5 (e) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 379*-84140\nAnswer: -31889060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.5 and 1.948?\nAnswer: 0.974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(14)\/(sqrt(847) - (sqrt(847)*-1 + sqrt(847) - sqrt(847)) - sqrt(7))*-1.\nAnswer: -sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w + w = 40. Suppose -h - 7 = -w. Let x be -2 - (h - 19\/4). Which is the biggest value? (a) 1\/6 (b) 3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2527 + -2523. Sort 0, m, -19.\nAnswer: -19, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) be the first derivative of -2*v**3\/21 - 30. Determine m so that b(m) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3257\/2, -5, -159, -4\/5, -0.3 in increasing order.\nAnswer: -3257\/2, -159, -5, -4\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 5*c - 80 = 0. What is the remainder when 77 is divided by c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 8 + -5. Let u = 611 + -608. Suppose 0 = j*o - 2*z - 157, -216 = -u*o - o + z. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (15\/(-2))\/(36\/(-12))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -4.9+-5\nAnswer: -9.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -12bd35 (base 15) to base 9.\nAnswer: -1622505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*p - g - 14 = -3*g, 3*g + 6 = 0 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-10)\/25 + (-4)\/(-10). Solve q + 0 - 2 = h, -3*q + 14 = -2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 20 and 19540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 2*a = 0, -2*k = -50*a + 48*a - 10. Put -2, k, 8 in decreasing order.\nAnswer: 8, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (0 - 2)*(1 - 0). Let b be (2\/4)\/(f\/(-96)). What is the tens digit of (38\/(-3))\/(b\/(-72))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 11*s**2 - s + 3. What is the tens digit of l(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -95 and -97 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 219*c**3 - 9*c**2 - 14*c - 7. Let p(s) = -109*s**3 + 5*s**2 + 8*s + 4. What is -4*g(j) - 7*p(j)?\nAnswer: -113*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f = -4*v + 7, -2*v = -2*f - 1 - 1. Suppose -2*x = 4*p - 13 - 49, -78 = -f*x - p. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 97527, 195045, 292563?\n\"Answer: 97518*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 15 = -l. Suppose 2*m + 25 = 3*m - l*w, -3*w - 12 = 0. Solve m*a = -0*a - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from auuuuuuuuuuuuuuuaaaa.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide 4 by -73313466.\nAnswer: -2\/36656733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -16*m**4*w**2 - 45*m**3 - 12*m + 30*w**2 wrt m?\nAnswer: -192*m**2*w**2 - 270*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*p + 4*p = 20. Solve 3*n = 3*c + n + p, 2*n - 16 = -4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:28 PM and 10:34 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f be 29\/6 + (-1)\/(13\/52). Let i be ((-1)\/(-18))\/((-3)\/12). What is the second biggest value in 0, i, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 18 - 145*h + 22*h**2 - 19 + 1 - 20*h**2 in the form d*h**2 + p*h + w and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(19)*-2*1 + (sqrt(133)*-1)\/sqrt(7) + sqrt(19)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.0615794 + 0.06209. Round v to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/(-12))\/(5\/25*-5)*-2\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.51*0.15577.\nAnswer: 0.0794427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3794145494?\nAnswer: 2, 41, 97, 477011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 4*k + 12 = z, -z - k = -6. Solve -4*g = 4 + z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 529 * -0.2\nAnswer: -105.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4 - 3.6. Let w = -327 - -2939\/9. What is the second smallest value in w, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*z - 266 = -7*z for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 1481.45 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -4*r - 11. Let a(l) = 3*l + 12. Let j(q) = -4*a(q) - 5*t(q). Let m(v) = v - 1 + 1. Let f(p) = j(p) - 4*m(p). Give f(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2241 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 1 (c) -2\/7 (d) -5 (e) 0.3 (f) -52599 (g) 0.03\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 9, p: 3}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/(i**(-38)*i))**(6\/7)*(i**(11\/4))**(-45) assuming i is positive.\nAnswer: i**(-2553\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 67969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-1)\/(-3)*0)\/(-1). Suppose 3*z + 3 = y, -3*j = -z - 4 - 54. What are the prime factors of j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2b6728 (base 13) to base 14.\nAnswer: 1dc512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u - 3*z = -9, -9 = -3*u + 207*z - 206*z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 3 - 2*w + 2)*(-5 + 16 - 5).\nAnswer: -12*w - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 104\/(-1)*17472\/(-605696).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3030412 + 3422?\nAnswer: -3021440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 99 and 8899?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 241669008 divided by -714.\nAnswer: -338472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 76.5517ml to litres.\nAnswer: 0.0765517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 12*m**2 + 9. Let q(s) = -3*s + 17. Let u be q(7). Let l(j) = -12*j**2 - 10. Let v(b) = u*l(b) - 3*h(b). What is the first derivative of v(r) wrt r?\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1467\/4 or -909\/8?\nAnswer: -909\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Add together 3 and 4340.\nAnswer: 4343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -14*w + w - w - 3*w as o*w + h and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6*208\/(-1404)*27.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*d = d + 10. Calculate the lowest common multiple of ((-8)\/6)\/((-2)\/6) and d*2\/4*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4444663 (base 7) in base 2?\nAnswer: 10000110000100010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 3369 = t. Suppose 2*a + h - 2231 = -2*a, -2*a + h = -t. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -202*l = -241*l + 876 + 138. Solve 10 = 4*t + l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-5)\/(1\/2*-2). Suppose y*x - 2*g = 44, 0 = 5*x + 3*g - 59 - 0. Calculate the least common multiple of x and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4406 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 254562 and 65569.\nAnswer: 4327554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 s and 1 w when four letters picked without replacement from {p: 3, s: 3, w: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 96368067 and 19905.\nAnswer: 3981","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -z**2\/3 - 79484*z\/3 + 3742375.\nAnswer: -(z - 141)*(z + 79625)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 9*z**2 + 2*z - 1. Let i be f(1). Let n be ((-8)\/(-20))\/((-2)\/i). Is -3 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -d**3 - 63*d**2 - 796*d + 224. Give x(-18).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 79337761 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) be the second derivative of f**8\/14 - 83*f**7\/7 - f**4\/6 - 9*f**2 - 876*f + 1. What is the third derivative of l(b) wrt b?\nAnswer: 480*b**3 - 29880*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9666 = -12*h - 15*h. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) be the second derivative of s**4\/6 + 81*s. Let h(v) be the third derivative of 29*v**5\/60 - 22*v**2. What is w(h(o))?\nAnswer: 1682*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-120)\/(-5400))\/(31\/2790).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 76, 142, 200, 250?\nAnswer: 292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3020 - 2*y - 22*y**2 - 3020.\nAnswer: -22*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1839, 9296, 29557, 69024, 134099, 231184, 366681, 546992?\nAnswer: 778519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 618 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 9}. Give prob of sequence ddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6751 = m + 3*o, -3*o = -7*o + 20. Let d be 6\/21 + m\/14. Let i = -272 - d. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 4242.120374 and 0.17.\nAnswer: 4242.290374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*v - 13 + 6*v - 14 + 29 + (-76 + 76 + 21*v)*(0 - 1 + 3).\nAnswer: 51*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:47 PM and 10:18 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -805*u = 1022*u + 325*u - 448*u + 76680 for u.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = -21 - -68. Let u = -31 + c. What is the least common multiple of u and 3?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 464678.44151 from 24.\nAnswer: -464654.44151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-24828)\/57932*(-7)\/(-111)\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(495))\/sqrt(11) - (-4 + 5*sqrt(180))**2.\nAnswer: -4516 + 228*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4? (a) -3\/7 (b) -2 (c) -0.02 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/(c\/c**(-2\/31))*c)\/c)**(-50) assuming c is positive.\nAnswer: c**(100\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-46))**49 assuming s is positive.\nAnswer: s**(-2254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = 104747959 + -104856769.238. Let h = i + 108553. Let y = 257 + h. What is y rounded to 2 dps?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -3*w**3 - 3*w**2 - 4. Is j(-3) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -56, -12, 4, 608, -2 in increasing order.\nAnswer: -56, -12, -2, 4, 608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 30 * -0.346707\nAnswer: -10.40121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 39169 is divided by 568?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.6378 + -14.6378. Let a = -6 + 5.9. Which is smaller: s or a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(80) - (sqrt(80) + sqrt(80) + (sqrt(80) - 6*sqrt(80)*3)) - sqrt(80))\/(sqrt(60)\/(sqrt(6) - sqrt(36)\/(2*sqrt(6)))).\nAnswer: 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -26.74 - -27.24. Let o be (18\/(-10) + 2)\/(-15 + 16). What is the smallest value in 2, a, -0.5, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 13 - -5. Let w = o - 33. Is 6 a factor of (5 + -12)\/(3\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -0.6, -87.9, 0.1, -1, 0.08?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 65*y + 63 = 70*y - 3*o, 3*y - 109 = -3*o - 76 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -350613, -1400578, -3150511, -5600406, -8750257, -12600058?\n\"Answer: f**3 - 349990*f**2 - 2*f - 622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((n*n\/(n\/(n**(1\/2)*n)*n))\/n**13)\/(n**(-2\/11))**(-1\/28))**(3\/8) assuming n is positive.\nAnswer: n**(-1329\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = p**2 + 11*p + 6. Let x be z(-11). Suppose -4*b + 1 = h - 16, x = 2*h + b. Let k(v) = 113*v**2 + v - 1. Is k(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10619344 a multiple of 2717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 14389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + ((sqrt(320)*-2)**2 + sqrt(20)\/(sqrt(8)\/sqrt(2)))*3.\nAnswer: 3*sqrt(5) + 3837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = -39 + -9. What are the prime factors of u\/112 + (-157)\/(-7)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = 2*x**2 - 3*x - 2. Let c = 1 - 6. Let r = 8 + c. Give s(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-6)\/(-5))\/(6\/60). Let x be (-6)\/9 - w\/(-27). Which is greater: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1193*r**3*y - 2*r**2*y - 3*r*y - 59*r wrt r?\nAnswer: -7158*r*y - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-18))**(3\/8) assuming y is positive.\nAnswer: y**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = -4*q + 9 - 1, -5*q + 10 = 2*j. Suppose -q*b + 216 = -4*c, 4*b + 5*c + 420 = 8*b. Calculate the highest common divisor of 40 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -79.3684 + 102.36685. Let w = z + -23. Round w to 4 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 10*c**3 - 11*c - 13. Let o(g) = -5*g**3 + 5*g + 6. Let t be (-243 + 244)\/((-2)\/(-26)). Calculate t*o(z) + 6*w(z).\nAnswer: -5*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1 + -2. Let n be 35*(3 + -1 + p). Suppose 5*u = -0 + n. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -50, -216, -492, -878, -1374, -1980, -2696?\n\"Answer: -55*x**2 - x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -12 - -13. Suppose -2*h = -4*l + d + 15, l - 4 = -5*h. What is the remainder when 8 + 0 - 0 - -1 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) be the second derivative of -l**6\/360 - l**5\/60 - l**4\/24 - l**3\/6 - 2*l. Let o(d) be the second derivative of u(d). Suppose o(n) = 0. What is n?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 80 a factor of 9587356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = 14453 + -14451. Sort 12\/7, 6.5, s.\nAnswer: 12\/7, s, 6.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 0 + (-30)\/8 + 2 + 2. Is -2\/29 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -4 * -0.13059.\nAnswer: 0.52236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3081973*p**4 - 1775289*p**2 wrt p.\nAnswer: 73967352*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 102, 0.0167, 4 in increasing order.\nAnswer: 0.0167, 4, 5, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = 286 - 172. List the prime factors of x.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = 6*h - 7*h - 20, -61 = 3*h + 5*t. Let g(r) = r**3 + 23*r**2 + 26*r + 90. Let z be g(h). Solve z*a = -2*f + 3 + 1, -4*a + 18 = -f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-2)\/(-11) + (-12)\/66. Suppose q = -0*n + 5*n - 15. Let v(c) = 3 + c - n - 2*c. Let b(j) = -7*j. Give v(b(t)).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -9 + 625 = 88*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p - 11 = -3. Let t be ((-1)\/((-2)\/4))\/(p\/(-3)). Solve -t - 9 = -3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20228357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 4, 1, 235\/6, 0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 59 minutes after 5:55 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange r**2 + 925 - 1055218*r**4 + 2110433*r**4 - r - 1055216*r**4 - r**3 to j*r + w + k*r**3 + l*r**4 + a*r**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 5306 + -29\nAnswer: 5277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out 12 * -983572.\nAnswer: -11802864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -5, -52, 47, 5 in decreasing order.\nAnswer: 47, 5, -4, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -151*p - 25. Let w(o) = -647*o - 100. Let i(v) = -9*f(v) + 2*w(v). Let a(s) = -8*s - 3. Give -25*a(u) - 3*i(u).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*v - 5 + 20. Suppose -w = v*w. Suppose w = -f + 7 + 33. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*5*(sqrt(102) + 3*sqrt(102)))\/(-6*sqrt(216)*4) + 4.\nAnswer: 5*sqrt(17)\/9 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -v**2 - 9*v - 14. Give c(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*z + 2*v - 11, -5*z + 1 = 5*v + 61. Which is the nearest to z? (a) -1\/6 (b) 0 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (2 + (-4*-2*sqrt(405) + 0)**2)*-4)*-5.\nAnswer: 518415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 13, 6, -365218, 4 in descending order.\nAnswer: 13, 6, 4, 1, -365218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2*((-4)\/(-14))\/(-2). Suppose 0 = -2*z - 2*z - 60. Let n be (-34)\/(-20) - (-3)\/z. Which is the third biggest value? (a) o (b) 1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose m = 4*b - 20, 0 = -2*b - 2*b - m + 20. Let d be (-32)\/16 - (-1 - 18\/2). Let w be -6 + (d\/52 - (-111)\/39). Put w, b, -5 in descending order.\nAnswer: b, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 25 in -6, 26, -1, 0.1, -2\/7?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 25 = -0*b. Suppose 53 + 32 = 4*s - b*g, g = -1. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 17 = -5*x - 7, 3*u = 3*x - 30. Suppose -22 = -3*b + w, -3*w = -4*b - x*w + 25. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -39*m - 3. What are the prime factors of w(-3)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -351 + 184. Let z = -167.3 - i. Which is smaller: 11 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 10 + -13. Let q(t) = t**3 + 8*t**2 + 2*t. Let p be q(y). Suppose 3*x**3 + 2*x**3 - 4*x**3 + p*x**2 + 8*x**3 + 40*x + 12 = 0. Calculate x.\nAnswer: -3, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + d + 46 = -3*z, 5*d = 4*z + 122. Suppose -8*y - 36 = -d*y. Solve -4*r = -y*k, -5*k + 1 = -3*r + 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.2721948 and -0.008.\nAnswer: 0.0021775584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = 9 - -163. Let o = s + -167. Solve o*l = 2*l - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -842*q. Let u(b) = -10*b - 1. What is -2*u(f) + y(f)?\nAnswer: -822*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -m**3 + 8*m**2 - 6*m + 4. Suppose -156 + 4 = -2*f. What is the remainder when f is divided by t(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o + 24 = -0*o + 2*o - 3*o + o - 4*j, -j + 1 = 0 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 12597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 264199*g**3*t + 15*g**2*t + 36*g*t wrt g?\nAnswer: 1585194*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.1*42423.\nAnswer: 4242.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0.1, -0.1, -0.2902477, 0.04, -1?\nAnswer: -0.2902477","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -291575*t**4 + 615089?\nAnswer: -1166300*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*i - 5*t = -21*i + 5, -4*t + 4 = -4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 737555 - 2950219\/4. Let i = 25\/69 + -2\/69. What is the nearest to d in 4, 0.5, -0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 576*o - 1143. Determine r(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3688 + 3686. Put -375, -5, x in ascending order.\nAnswer: -375, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = g**2 + 14256*g + 540255. Give s(-38).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -548, -552, -556, -560, -564?\nAnswer: -568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -3*p + 8*p. Let o = p - 4. Let u(f) = -4*f - 1. Determine u(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 74240.1 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1\/3, 10.8, 0.1, -9\/8, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 10932 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 17*g. Let z(b) = 103*b. Let v(r) = -34*t(r) + 6*z(r). Let q be v(2). What is the highest common factor of q and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 5*q**2 + 5*q + 3. Let r be i(-1). Suppose 4978 = 5*o + y, -1684 - 314 = -2*o + r*y. What are the prime factors of o?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q**(-12)*q**(3\/2))\/(q**(-3\/7)\/(q*q**(-2\/9))) assuming q is positive.\nAnswer: q**(-1045\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/(b**(-1\/3)\/b*b))**26*(b\/b**(2\/3))**(1\/24) assuming b is positive.\nAnswer: b**(2497\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -34122022 + -202?\nAnswer: -34122224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*d + 7*d - 4 = -7*x, -17*d + 17*d + 8 = 2*x for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 3*y + 39. Let c be g(-6). Solve 4*i + c = k - 0, 4*i + 5*k = -15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -23 + 8 = -5*v, 0 = 4*d - 3*v + 21 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l**2 - 20144*l + 20140 = 0. Calculate l.\nAnswer: 1, 5035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*q - 1657 = 13*q - 1593 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + 5 - 19\/((-5700)\/45)*(-542)\/9?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in -5, -1.1, 2\/17, 5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5955671 to the nearest integer?\nAnswer: 2440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 3, d: 1, u: 7, s: 1}. What is prob of picking 1 u, 1 d, and 1 s?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vrmmvzmvvv. What is prob of picking 1 z and 1 v?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 49961328?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -83, 1\/10, -2\/11?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) be the second derivative of v**5\/120 - v**4\/8 + 5*v**3\/9 - v**2 + 730*v - 2. Factor k(m).\nAnswer: (m - 6)*(m - 2)*(m - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 54 - ((-10 - -36) + 5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - 15148 - 8615 = -3*y, 0 = 3*y - 3*f - 23751. Does 90 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 505716 is divided by 188?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -3*u - 2. Let l(q) = 5*q**2 - 2*q - 5. Let z be l(3). Let j = -37 + z. Give w(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.08 + -0.08. Suppose -2*v + 0*y = -2*y - 2, 10 = 5*y. Let i be v\/(-6) + (-5)\/(-2). What is the biggest value in i, 1, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p + 17 = -12*s + 4*p - 0*p, -2*p = 2*s - 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3366.9 - -3361.9. Put m, -0.03, 0, 114 in increasing order.\nAnswer: m, -0.03, 0, 114","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-8)\/3*(-36)\/16. Let t be (-4)\/g - 24\/18. Does 14 divide t\/(-6) + (-158)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -s. Let g(n) = n**2 - 12*n - 16. Let f(k) = -g(k) - 5*q(k). Let c be f(16). What is c rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*i = 4*b + 22, 19 = 3*i - 4*b + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b be 7\/((-280)\/192)*(-4 - (-10252)\/8). What is b rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor g**4 - 48*g**3 + 597*g**2 - 2870*g + 4800.\nAnswer: (g - 32)*(g - 6)*(g - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 934 (base 15) to base 4\nAnswer: 200122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((s\/s**(1\/5))\/s)\/s**(-2\/7)*s*s**(-1\/6)*s\/s**(-1)*s)**(1\/2))**(1\/3) assuming s is positive.\nAnswer: s**(823\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the first derivative of p**6\/180 - p**4\/12 + 58*p**3 - 137. Let z(m) be the third derivative of n(m). What is z(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 546*j**4 + 60*j**3 + 153*j**2 - 37*j + 2.\nAnswer: 13104*j + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 612060 (base 7) to base 16.\nAnswer: 19623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 69 + -63. Calculate the remainder when 45 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = -0*d - 5*d + 60, -40 = -2*l - 5*d. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = p - 18 + 3*p - 9 - p. Let c be g(13). Differentiate -11*n**2 - n**2 + 26*n**3 + 8 + c*n**2 wrt n.\nAnswer: 78*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 7185520*q*t*y**3 + 3*q*t*y**2 - 151*q*y**3 - q*y**2 + 2*q - y + 7398 wrt t?\nAnswer: 7185520*q*y**3 + 3*q*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -687.25413 to 0 decimal places.\nAnswer: -687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -60, -70, -80, -90, -100, -110?\n\"Answer: -10*p - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 205442 is divided by 9303.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k be (3\/(-6))\/(1\/(-18)). Calculate the common denominator of (-334)\/(-30) + 6\/k and -48\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 - 4 - (-8 + 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 230975?\nAnswer: 5, 9239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -76 = -7*r - 20. Calculate the highest common factor of 64 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -117461*g**5 - 99147*g?\nAnswer: -2349220*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -29496*n = -29294*n - 3030 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1582 or -1588?\nAnswer: -1588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -94.14947 to the nearest integer.\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = -73 + 97. Suppose -2*x + 0*x + r = 4*w, 3*w - 15 = 0. Sort x, 12, -1, 4 in ascending order.\nAnswer: -1, x, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 4130400 (base 5) to base 9\nAnswer: 112651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -4909109 - 4?\nAnswer: -4909112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1083525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 179194 is divided by 7466.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -4619 by -2899.\nAnswer: 4619\/2899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -81*i**2. Let q(j) = -2*j**2. Determine -d(m) - 6*q(m).\nAnswer: 93*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = -352\/5 + 70. Let p = 0.4 + -1.5. Let x = p - 0.1. Which is greater: c or x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*l + 18*l = 20. Suppose -l*x - 2*x = -1194. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3354899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5 in -8\/3, 4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3633 and 336.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4602\/5 - 920. Let x = -63 - -69.6. Let t = -7 + x. What is the third biggest value in -3, t, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2, -1, 0.09, 0.77, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 748839 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = u**3 + 2*u**2 - 1. Let q be z(1). Suppose 0*j - q*j = -8. Suppose b - j*t = 24, 5*t - 8 = -b - 20. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 362, 1332, 2938, 5180, 8058, 11572, 15722?\n\"Answer: 318*s**2 + 16*s + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + (-1 - (5 + (-3 - 0))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) be the second derivative of o**8\/28 - 13*o**5\/5 + o**4\/6 - 3*o**2 - 4*o + 2. What is the third derivative of k(v) wrt v?\nAnswer: 240*v**3 - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, -0.361, -2\/11, 1, 13.\nAnswer: -0.361, -2\/11, -0.1, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor q**5\/5 - 84*q**4\/5 + 1328*q**3\/5 + 4498*q**2\/5 + 4671*q\/5 + 1586\/5.\nAnswer: (q - 61)*(q - 26)*(q + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -0.199693055 rounded to five dps?\nAnswer: -0.19969","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 17884\/7 or 2556?\nAnswer: 17884\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s - 12*h + 10*h - 1 = 0, -3*s + 23 = -h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.1 + 0. Let s = -0.2 - z. Let p = 11 + -6. Which is the closest to s? (a) p (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**4\/t**1)\/(t\/(t*t**(-2\/3)))**44 assuming t is positive.\nAnswer: t**(-79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a = 13929\/13 - 1072. Let u = 105\/26 + a. Is 0.04 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -230702 (base 8) to base 4.\nAnswer: -103013002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 5479, 0, -14 in decreasing order.\nAnswer: 5479, 5, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2 + 1 - 1)*(o - 3*o + o) - 2*o + o + 3*o)*(o**2 + o**2 - 3*o**2).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = -93102 - -652916\/7. Let y = 172 - i. Determine g so that -4\/7*g - y*g**3 - 6\/7*g**2 + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the third derivative of n**6\/40 + n**5\/3 + n**4\/12 - 5*n**3\/6 + 13*n**2. Find the second derivative of r(o) wrt o.\nAnswer: 18*o + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22 bigger than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q - a + 41 = 0, -2*q + q - 2*a = -22. Let n be (q\/10)\/((-18)\/(-45)). Let s(w) = w**3 - 4*w**2 - 1 + w**3 - n*w**3 - w**2 - 2*w. Give s(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1724 + -4?\nAnswer: -1728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (3 - 4)*(-14 + 9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zxxxxxxxzxxxzzxzxx. Give prob of picking 2 z and 2 x.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5718, 11627, 17672, 23853, 30170, 36623, 43212?\nAnswer: 49937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1323103311 + -2?\nAnswer: -1323103313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2450 is divided by 418.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.4 in 4\/7, -4, -6, 1\/42, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6418.\nAnswer: 2, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 16543138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = -122158.439321 + 134001.6065. Let l = y + -11880.267. Let w = 37.1 + l. What is w rounded to 5 dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*g - 5*n = 0, 4*g + n - 5 = 2*n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*p**3 + 7*p**3 + 7*p**3 + 7*p**3 - 34*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (2\/2)\/(427\/427)*89\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-1 - (6 + -3)) + 12\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 30 divide 1110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*f + 6*f + 2*f. Suppose 6 = -5*z + l, -3*l + 8 = -8*z + 3*z. What is the nearest to z in 1, f, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 less than 747851444?\nAnswer: 747851447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -x**3 - 8*x**2 + 3. Let h be a(-8). Let o = h + -3. Suppose o = -r + 3 + 16. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -9467842, -18935666, -28403490, -37871314, -47339138, -56806962?\n\"Answer: -9467824*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 7, h: 1, b: 5, z: 3}. Give prob of sequence zhzz.\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.017 and -37.\nAnswer: -36.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*t - 5*t = -2*b - 42, 54 = -2*b - t. Let p = 35 + b. Calculate the remainder when 74 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*i + 130 = -4*i. Suppose 2*y - 420 = i. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 3*t**3 + 17*t**2 - 8*t + 4. Let b(h) = -6*h**3 - 34*h**2 + 14*h - 7. Let m(s) = 4*b(s) + 7*j(s). Find the third derivative of m(w) wrt w.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 0, 2, -9, 1, 46 in ascending order.\nAnswer: -9, -4, 0, 1, 2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 31, -0.4, -3, 0.6321, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -2*o**3 - 7*o**2 + 13*o + 67 - 4*o - 69 + o**3. Let m be (9\/(-6))\/((-15)\/(-80)). Calculate h(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1467598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 51*b**2 - 19*b + 37. Let y(k) = 2*k + 16. Let h be y(-16). Is a(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 26933*g = -5*v + 26930*g + 71, -28*g + 95 = 3*v for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2062 - -2063. Solve 0 = -2*r - 3*o + x - 2, 0 = -2*o - 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s - 38 = -4*p, -65*s - 26 = 2*p - 68*s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/(-5))\/((-5)\/150*6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bb when two letters picked without replacement from brsrbsbrbbbrb?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:43 AM and 12:34 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 36 a factor of 65235866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -10\/9 smaller than 9280.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -41*b**2 - 47*b - 196. What is g(-5)?\nAnswer: -986","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 55 and 675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*l - 96*d + 305 = -6*d - 10*d, 0 = -4*l + d + 8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor g**3 + 13791*g**2 + 234224*g + 909084.\nAnswer: (g + 6)*(g + 11)*(g + 13774)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from osoaosssaooao. What is prob of sequence ssss?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the first derivative of r**8\/240 + r**4\/6 - 2*r**3 - 2. Let f(x) be the third derivative of y(x). Find the first derivative of f(o) wrt o.\nAnswer: 28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*t - 30*t = -40*t - 4*y - 40, -8*t - 2*y - 56 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 k and 1 g when four letters picked without replacement from {k: 5, g: 8, z: 7}.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) be the first derivative of -i**4\/24 - i**3 + i**2 - 3. Let k(u) be the second derivative of w(u). Let n(p) = p - 5. Let v be n(5). Calculate k(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -343, -4981, -16 in increasing order.\nAnswer: -4981, -343, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = 30 - 24.75. Let i = -5 + r. Let u = -0.05 + i. What is the closest to 2\/5 in -2, u, 3\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 416.6649mg in micrograms?\nAnswer: 416664.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 107\/6 and -7\/100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 178909 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 159 minutes before 1:40 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = t + 25. Let q be u(-6). Let l = 21 - q. Solve c + 2 = 3*g, -3*c = 5*g + 4 + l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 56500 = 1566*r - 1001*r for r.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2023168645 to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -154952 divided by 5.\nAnswer: -154952\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in twenty-seven halves of a hour?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -y**3 - 3*y**2 + 1. Let t = 12 - 15. Let q be r(t). Let f be 117\/(-18) + (-3)\/q. Is f greater than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 20222100002120 + -11?\nAnswer: 20222100002102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 206250900 and 8297450?\nAnswer: 1443756300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o be 7\/(-2) + (-6)\/(-4). Let m = o - -5. Suppose -130*p - 8 = -134*p. Solve -l = p*l - m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 180271676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1.141 + -1.141001474. Round w to seven dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*g - 3*g - 161 = 21*g - 3*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*o - 2*o + 2*o)*(3 + 2 - 3)*(-61*o + 50*o + 37*o).\nAnswer: -104*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out -1.8 - 25466505823873.\nAnswer: -25466505823874.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 420273243 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 463.94375 - -0.05625. What is the nearest to 1\/4 in r, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = h**2 + 4*h + 1. Let f(l) = -23*l - 21 + 21 + 22*l. What is -2*b(r) - 11*f(r)?\nAnswer: -2*r**2 + 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -317*v - 68. Let w(c) = -634*c - 147. What is 13*s(h) - 6*w(h)?\nAnswer: -317*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: Determine g so that -2*g**5\/5 + 32*g**4\/5 + 202*g**3\/5 + 168*g**2\/5 = 0.\nAnswer: -4, -1, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 92*a + 823 + 412 = 27*a for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y = 5*y - 252. What is the greatest common factor of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -96.87 + -136.61. Let y = h - -234. Do y and 0.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 15916 divided by 3979\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = -302303 + -457751. Let x = m - -18245213\/24. Let z = -484\/3 + x. What is the common denominator of 101\/16 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 178709141 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 6*y = 0. Are y and 0 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -327*q + 11. Let k(f) = 6*f**2 + 2*f - 11. Let l be k(-3). Suppose -l = -10*a - 157. Is o(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 681 minutes after 11:55 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 2 - 2 = 0. Suppose -5*s = 2*g + 2*g - 21, -3*s - a*g = -19. Let q be 4\/(-6)*6\/50. Is q greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 265 - -69.\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n be 504\/81 - (-4)\/(-18). Suppose -34 - 9 = -4*y - 5*z, -z = 2*y - 17. Calculate the remainder when y is divided by 2\/((-2)\/n*-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -t**2 + 5*t + 11. What is z(11)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 14 + 14.7. Let o = c + -28.7. What is the nearest to o in -24, 2\/13, -1\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 15 - 15. Let z = m - -6. Let y = -6.0002 + z. What is y rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*(-6)\/(-9)*12\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2121122 and 114?\nAnswer: 6363366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 28583 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = -133 + 138. Let -91*w - 13*w**2 - 81*w**4 + 126*w**3 + 63*w - j + 1 = 0. Calculate w.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2 + -231?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:52 PM and 9:22 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide 13949 by -4630.\nAnswer: -13949\/4630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -103*f*g**3 + 4*f*g**2 - f + 6*g**3 + 378*g**2 wrt f?\nAnswer: -103*g**3 + 4*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = h**3 - h**2 - 1. Let j(b) = -3*b**3 + 4*b**2 + 7. Suppose 3*d + 3 + 0 = 0. Determine d*j(c) - 4*l(c).\nAnswer: -c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5559981\/(-196)*(-36)\/27.\nAnswer: 109, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 129442150.9 - -11\nAnswer: 129442161.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3803608 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-65)\/(-105) + 2\/(-6). Put -2\/5, f, -46, -0.1 in descending order.\nAnswer: f, -0.1, -2\/5, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -192, -191, -190, -189?\n\"Answer: u - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -27*i + 9 = -153 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 18*874\/(-684) + (-270)\/(-5)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, -31, -3 in decreasing order.\nAnswer: -0.2, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-114)\/(-15) + -10 + 75537\/1155?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 33380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 47 + -38 + -11 + 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = n**2 - 13*n + 27. What is u(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lblyybyb. What is prob of sequence yyb?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -f + 10. Suppose 0 = 17*h - 13*h - 24. Let d be p(h). Differentiate -7*z**d + 21 - 26*z - 9 + 26*z with respect to z.\nAnswer: -28*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 362597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -49, -65, -99, -157, -245?\n\"Answer: -c**3 - 3*c**2 - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*sqrt(272)*6.\nAnswer: -48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 101179447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -a + -16b?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = 421.8691262 + -431.36915. Let i = -9.5 - b. What is i rounded to six dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 116511 and 279243?\nAnswer: 152745921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 131.346*21.\nAnswer: 2758.266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = g**2 + 16*g - 24. Calculate x(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2 + -4.3. Let h = x + 2.1. Put h, 0, 2\/19 in decreasing order.\nAnswer: 2\/19, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -525 + 525. Solve -16*z + 5*z + 55 = c for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = q**2 + 54*q + 539. Let b be v(-41). Let i(m) = -m**2 + 11*m + 7. Let f(l) = 2*l**2 - 21*l - 13. Determine b*f(h) + 11*i(h).\nAnswer: h**2 - 5*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s + 3*s + 6 = 0. Put s, 2, 3 in decreasing order.\nAnswer: 3, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -21 = 10*w - 91 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = -3, -2*u - 63 = -6*u + 3*h. What is the third biggest value in -3, 3\/10, 5, u?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -980\/299 smaller than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.07 plus 88090?\nAnswer: 88090.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -0.05 - 51068568605?\nAnswer: -51068568605.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.408 - -0.112. Let k = 0.004 - x. Let j = -494\/187 - -48\/17. Which is the third biggest value? (a) k (b) -2\/11 (c) -2\/7 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1077139 smaller than 1077143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 2*x + 42 = 0, -6*y = -y - x - 246. Let v(k) = k**3 + 16*k**2 + 13*k - 13. What is the remainder when y is divided by v(-15)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 397473894 divided by 3.\nAnswer: 132491298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -15*i**2 - 76*i - 4. What is l(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*o + 102789 = 103149 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + c + 4116 = 0, -5*c + 557 + 287 = i. List the prime factors of i.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 132625, 132609, 132567, 132487, 132357, 132165, 131899?\nAnswer: 131547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -819, -1636, -2453, -3270?\nAnswer: -4087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 17*n**3 - 2*n - 380?\nAnswer: 51*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(117) + 3 + sqrt(117))*5 + 2)**2 - (sqrt(325) + -1 + sqrt(39)\/sqrt(3)*-3).\nAnswer: 1018*sqrt(13) + 11990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -f**3 - 4*f**2 - f - 6. Suppose -2*r + 274 = 4*x, 3*x + r - 221 = -15. Calculate the remainder when x is divided by h(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v*v\/((v**28\/v)\/v))\/v)\/v*v**(1\/27))\/(((v*v**(-6))\/v)\/(v**(-1\/20)*v)) assuming v is positive.\nAnswer: v**(-10267\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 383*n**3 - 4 - 624*n**3 + 24 + 240*n**3 - 11.\nAnswer: -n**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 58 a factor of (-7)\/((-56)\/132)*(-106)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -489148, -489109, -489034, -488905, -488704, -488413, -488014, -487489?\n\"Answer: 3*h**3 + 18*h - 489169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply -29 and -0.05.\nAnswer: 1.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 1 + 3)*(0 - 6 + 0)*(-3 + 74*d - 113*d + 82*d).\nAnswer: -1290*d + 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert -10a6b89 (base 12) to base 9.\nAnswer: -6024876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 287277457?\nAnswer: 109, 929, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1617955, 6471814, 14561579, 25887250, 40448827, 58246310, 79279699?\nAnswer: 103548994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*f + 4, -4*f + 143 = 3*s - 6*s. Let h be 8\/60 - 12\/s. Let x = 0.4 - 0.5. What is the nearest to 1 in h, 4, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in seventeen quarters of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11837.\nAnswer: 7, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/(-2) + 37904\/(-3296)?\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -5*b - 214. Let z(n) = -n - 43. Let x(j) = 2*v(j) - 11*z(j). What are the prime factors of x(0)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 9681042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -0.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -98, -3\/7, -2\/3, 0.4, 4, 0.2, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 2*b**3 - 88*b**2 + 85*b + 59. Let r be v(43). Solve -3*i - r = -5*m, -m + 2*i = -4*m + 21 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 98.83294 grams in tonnes?\nAnswer: 0.00009883294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.03, 1\/4, -122, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -12 + 24. Let u be (-8)\/s*6\/(-1). Suppose 9 = u*z - z. What is the remainder when 4 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 952 (base 13) to base 15\nAnswer: 70d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 - ((-4 - 135\/(-12)) + (-12)\/8).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 572 - 845 = -2*g, -d + 297 = -3*g. Suppose d = 4*u - 1811. Suppose b + 3*b = u. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2462, 2236, 2006, 1772, 1534, 1292, 1046?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -211 + 109. Let f be w + 1\/((-3)\/6). Let n = 223 + f. What is the highest common factor of n and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -5630218 equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 325 minutes after 10:57 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -2, -126 in decreasing order.\nAnswer: 4, -2, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in one sixth of a week?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 102182421 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.145 + 0.067. Let j = 0.02 - w. What is j rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = i + 4. Let t(f) = f**2 + 2*f + 9. Suppose -93*p = -78*p - 135. Let q(a) = -a - 9. Let h be q(-5). What is h*t(o) + p*d(o)?\nAnswer: -4*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: Let c(s) be the second derivative of 1\/2*s**2 + 1\/12*s**4 + 2*s + 5\/6*s**3 + 3. Calculate c(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -124 + 63. Let n = c + 61. Let j be (-6)\/4 + 0\/(-1). Put n, j, 0.5 in increasing order.\nAnswer: j, n, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*k - 518*k**2 + 10*k - 21*k + 9*k - 2 in the form l*k**2 + d + u*k and give l.\nAnswer: -518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*y + y - 22*y**3 + 32*y**3 - 5*y.\nAnswer: 10*y**3 - 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-1\/11)\/(s\/(s*s**(4\/9))))**27 assuming s is positive.\nAnswer: s**(105\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.011 + 3.011. Let f = 5 + -9. What is the smallest value in -5, -0.5, f, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1115\/(-446))\/((-1)\/2). Which is the nearest to -0.004? (a) f (b) -5\/4 (c) -0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/12 in 127, -0.1, -4, 7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5\/16)\/((-76912)\/64768)?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -29 times 13.4863\nAnswer: -391.1027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -2*195*9\/(-54) - -34?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*b**2 - 33185*b + 8 - 19 + 7.\nAnswer: 6*b**2 - 33185*b - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -5*t - 4, -3*g + 4 = -2*t. Suppose -5*n - 20 = g, 3*h - 7*n + 2*n - 125 = 0. What is the highest common factor of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 154740 to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qqq when three letters picked without replacement from flzfeqweqzwwzq?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 13*z - 2. Determine k(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 0.13163, 1\/3, -4, -0.5 in increasing order.\nAnswer: -4, -0.5, 0.13163, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 2, 28, 5 in descending order.\nAnswer: 28, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -49a5 - 3?\nAnswer: -49a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 26194*y + 18 = 4*w + 26189*y, -4*w + 14 = -3*y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 42, -1, -5, -59, 13.\nAnswer: -59, -5, -1, 13, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: ((1314\/(-24))\/(-73))\/((36\/(-16))\/1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qmyqqyyjqkkyqyjqyqy. What is prob of picking 1 q and 2 y?\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - 20 = -8*j. Solve 0*i = -j*m + 3*i, 3*m - 3*i = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-30)\/(-48))\/(60\/1800)*(-20)\/(-15).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 2*s**2 - 8*s + 1. Let g be y(4). Let u be (148\/(-6))\/(8\/(-36)) - g. Suppose 0 = -l - 5*h + u, -4*h = -7*h. Is l a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -45 or -300?\nAnswer: -300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 481 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -2*h**2 + 2*h. Let j be y(0). Let q(x) be the third derivative of 0*x**3 + 1\/540*x**6 + 0 - 1\/315*x**7 + j*x - x**2 + 0*x**5 + 0*x**4. Factor q(o).\nAnswer: -2*o**3*(3*o - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = n**3 - n**2 + n. Let h be c(0). Suppose -2*l + 10 = b, h = b - 1 - 3. Let t(g) = -g - 8. Let d be t(-8). Solve -l = o - d*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000387858 to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 501155487?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = 11*b**2 - 2*b + 1. Let x = 13 + -9. Let a be ((-4)\/(-8))\/(2\/x). Is t(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -4*q**2 + 11 + 9 - q - 3*q - 14 - 6*q**3. Let z(u) = 5*u**3 + 3*u**2 + 3*u - 5. Give 3*c(o) + 4*z(o).\nAnswer: 2*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from clnlyck. What is prob of picking 1 k, 1 y, and 1 l?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1174.6 - -1165.146. Let m = 4.457 + i. Let o = -0.003 + m. Which is the closest to -1? (a) o (b) -0.4 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 1\/5 (b) -2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 3*k = -3*i + 59, i + 4*k = 38. What is the highest common factor of 3582 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - 424 = 940. Let z = -3068 - -3099. What is the highest common divisor of x and z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2335541501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1365440807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -18*r**2 + 18. Let y(t) = -3*t**2 + 4. Let z(g) = 2*l(g) - 9*y(g). Let w(o) = 3*o - 16. Give z(w(u)).\nAnswer: -81*u**2 + 864*u - 2304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = -326 - -577. Let p = 250.8 - t. Suppose 0 = 2*o + 5*d + 14, -8 = 2*d + 2*d. Which is the closest to 0.2? (a) p (b) -3\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(3\/7)\/(h\/(h*h**(6\/5))*h))**(3\/25) assuming h is positive.\nAnswer: h**(66\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -475.065 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p be 5 - (2 + -3)*-1. Let b(k) = 3*k**2. Let o(x) = 3*x**2. Let f(s) = p*b(s) - 6*o(s). Let d(a) = a**2. Calculate f(d(t)).\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -w**2 - 67*w - 1028. Let o be p(-24). What is the second biggest value in 2, -175, o, 1\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -51*h**3*i**2 - 148*h**3*i - 3996*h**3 + h**2 - 2588823*h*i**2 wrt h.\nAnswer: -306*i**2 - 888*i - 23976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express (4*b - 15*b - 3*b + (3 - 1 - 3)*(b + 3*b - 3*b))*(-1 - 2 + 1) as v*b + x and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1608 and 0.16?\nAnswer: -257.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 11) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 0.043*558\nAnswer: 23.994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -u**3 - 10*u**2 - 10*u + 2. Let g be w(-9). Let d = g + -9. Factor 2*x + 4*x**2 - 8*x + 4*x**2 - 2*x**3 - 2*x**d + 2.\nAnswer: -2*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -7*h**2 + 5. Let m(v) = v - 4. Let b be m(7). Let u(c) be the first derivative of c**b + 2*c - 2 - 3*c - c. What is -2*g(i) - 5*u(i)?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a\/(((a*(a\/((a\/(a\/(a**(-1)\/a)))\/a))\/a)\/a)\/a))\/a)**(-37)*a**(-1\/3)*a*a*a**(-1\/3))**(8\/7) assuming a is positive.\nAnswer: a**(1808\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - -15) + (-7 - (-20 - -17)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*v - 4*l - 107, -v + 47 = l + 31. Solve x - 2 = -2*c, -x + 6*x = -c + v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from {w: 7, r: 7}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z be (94\/141)\/(((-16)\/(-1110))\/4). Suppose -182*f + 213 = -z*f. Let w = -128 + 58. Is f at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 222*s + 214*s + 157*s - 88*s - 401*s**2 + 1276*s wrt s?\nAnswer: -802","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(468) - (-1 + sqrt(468)) - sqrt(468))*-1 + 0 + (sqrt(156)\/sqrt(3)*6 - (1 + (0 + sqrt(325) - sqrt(325)))).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) be the second derivative of -2\/3*v**3 + 0 + 1\/4*v**4 - 4*v - v**2. What is the remainder when i(6) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15924?\nAnswer: 2, 3, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1 - -23. Suppose q = j + j. What is the smallest common multiple of 4 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vvjj when four letters picked without replacement from vkjvvgkjgjbjjkkk.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (96\/612)\/((-24)\/9)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*l + 10 = 0, 5*x + 4*l + 14 = -4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.023509254 to five dps.\nAnswer: 0.02351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 5721 = 42*q - 38*q, 3*q + d - 4292 = 0. List the prime factors of q.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -30 = -10*d + 40 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 90 = 3*g + 2*g. Let q(l) = -3*l**2 - 83*l - 42. Let a be q(-27). What is the highest common divisor of a and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v + 16 = -2*s - 6, 4*v = 2*s - 20 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 + 6 = 3*c. Let k be (0 - c - (-3218)\/(-1608)) + 0. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qaf when three letters picked without replacement from {p: 4, a: 1, q: 1, w: 4, r: 1, f: 1}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = 301 - 298. Solve h = 4*p + 8, o*h + 3 = -4*p + 11 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hhldlllhldhl. Give prob of sequence ldh.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 41 minutes after 1:56 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 6*c - 3. Suppose -45 = -2*n + 3*a, -70*n + 72 = -67*n - 3*a. Calculate the smallest common multiple of n and r(3).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (7 + (-52)\/6)*-93 is divided by 49.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23828 is divided by 23645?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) be the second derivative of g**5\/20 - 2*g**4\/3 + g**3\/2 + g**2 - g. Let u be 22\/3 - 8\/(-12). Does 9 divide w(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-27653*r - 6 + 27653*r + 24*r**2)*(-12 + 12 + 64)*(7 - 2 - 3) to d + n*r**2 + k*r and give d.\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 202*w**3 + 1 - 130*w**3 - 1 - 73*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -4*d**2 - 631*d + 17451. Let o be z(24). Factor -4\/7*v - 10\/7*v**2 + 16\/7 - 2\/7*v**o.\nAnswer: -2*(v - 1)*(v + 2)*(v + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 12543800*t**6 - 13364930*t**2 wrt t.\nAnswer: 1505256000*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 873 + 21 = 0. Suppose v + 2*r - j = 0, 0*r = -2*v - 2*r + 564. Does 40 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 482924 and 40160.\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -24*h + 16*h + 2*z = z + 50, 5*h = -z - 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 37556 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 2*v**2 - 3*v - 4. Let h = -1 - -4. Let w be x(h). Suppose 0 = -w*c - 5*q - 15, 0*q = -4*c + q + 13. Solve -2*s = -3*t - 6, s = c*t - 0*t + 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 36580386 to the nearest integer?\nAnswer: 6048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 2*r**2. Let c(z) = z**3 - 2*z - 1. Let b be c(-2). Let f(o) = 2*o**2 - 5*o + 5. Let x(d) = -d**2 + 2*d - 2. Let l(w) = b*x(w) - 2*f(w). Give l(s(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence djj when three letters picked without replacement from jdtrdtdtzzrt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = k**2 - 3*k + 2. Let s be m(3). Suppose -2*w = -s*h + h - 23, h + 62 = 5*w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n\/n**(6\/11))\/n**(6\/5))**(16\/9)*(n**(-1\/3))**(-28)\/(n\/n**(2\/7))**(-41) assuming n is positive.\nAnswer: n**(135383\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17643 + 22*n**3 + 17643.\nAnswer: 22*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -37, -51, -67, -85, -105?\n\"Answer: -o**2 - 11*o - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-4*(-5)\/420)\/(21\/49). Factor 1\/9*n + f*n**2 - 4\/3.\nAnswer: (n - 3)*(n + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:06 PM and 11:15 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u = 5*l - 10, u - 6*u = 4*l + 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9\/(-30))\/(15\/10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 352053\/49 + -7185. Let z = t + 10\/441. What is the nearest to 2 in z, -0.3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -f**2 + 27*f - 39. Let a be j(25). Suppose 0 = -20*s + a*s + 27. Which is smaller: s or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 16\/1412093 and -127\/174.\nAnswer: 245704182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = u**3 + 6*u**2 + 6*u. Let y be r(-5). Which is the second biggest value? (a) -12 (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 7, c: 7, d: 5}. Give prob of picking 2 q.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3*2\/(-8))\/((100\/150)\/((-32)\/(-3258))).\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l + 3 = m, 115 = -5*l - 2*m + 119 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 141 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2*((-54)\/12)\/(-3). Suppose 5*h + u*f + 13 = 28, 0 = -5*h - f + 5. Solve -5*s - 15 = 3*o, 2*o + h*o = -5*s - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 509147 is divided by 333.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 4115336, 4115338, 4115342, 4115348, 4115356, 4115366?\n\"Answer: n**2 - n + 4115336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -24 - -61. What is the remainder when s is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*q - 15*q = 98. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {t: 8, x: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 5 smaller than 1403\/356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Add -0.1 and 34528865951178.\nAnswer: 34528865951177.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 3\/5 (b) 4 (c) -15 (d) 48939\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -1 + 11*i + 4 - 4*i**2 + 5*i**2 + 3. Let t be f(-12). Let c be (-3)\/(-2)*1*t. What is the greatest common factor of c and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b**10)\/(b*b**7\/b) assuming b is positive.\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (-1*sqrt(704) - (sqrt(11)*3 + 2)) + 1.\nAnswer: -11*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 1453 take away -4?\nAnswer: 1457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 129103 (base 12) in base 15?\nAnswer: 60a03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u - 4*h = -7*h - 32, 3*u - 42 = 3*h. Let k = -2 + u. Solve -k = 4*y + 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.007007 + -0.00676737. Round x to five dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:44 AM and 8:23 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 119*d**6 + 2*d**4 + 2*d**2 + 5*d + 27?\nAnswer: 14280*d**3 + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -59 - -61. Let l be 3\/9*78\/h. Suppose -l*q = -9*q - 924. What are the prime factors of q?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*f - 15*f = 2*o + 12768, -2*o = -4*f + 17028. What is the remainder when f is divided by 147?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 113\/21500 and -93\/21500.\nAnswer: 21500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 44 = -3*j - 4*z, 2*j - 3*z - 4 = 0. Let v = j + -26. List the prime factors of (v\/8)\/((-6)\/16).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2368)\/111)\/(-64)*4\/((-84)\/(-27)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sum -3 and -9119467405.4.\nAnswer: -9119467408.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-8)\/6)\/(((-8)\/3)\/(-8)). Let t(j) = j**3 + 6*j**2 + 10*j + 18. Let g(n) = n**2 - 6*n + 17. What is the remainder when g(-6) is divided by t(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7547 divided by -8.\nAnswer: -7547\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -22, -5, 5, -6 in increasing order.\nAnswer: -22, -6, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -117334 divided by -58667.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1 - -1. Let q(o) = -6*o + 11*o + 10*o - 2*o**k. Let v(u) be the second derivative of u**3\/6 + 370*u. What is v(q(g))?\nAnswer: -2*g**2 + 15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - j + 1477593 = 0, 2075215 = -5*k + 2*j - 387441. Let c = 3577230 + -1879760. Let t = c - k. Round t to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p\/(p\/p**(2\/3)*p)*p**3*((p*p**(-7)*p)\/p)\/p**(-3\/8))**23 assuming p is positive.\nAnswer: p**(-1081\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 4*g**3 - 2*g**3 - 7*g**2 + 8*g - 3*g**3 + 6. Let x be p(-8). Let h be x\/(-33) + (-40)\/22. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -51\/89908 and 23\/63791.\nAnswer: 63025508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/(9\/(-30)) + 3. What is the second smallest value in 2, 3, 5\/3, i?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h = 5 + 11. Suppose w - h*w = c - 20, -36 = -5*w - c. Is 11 a factor of 2\/(-4)*(-352)\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 339 a factor of 168463024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 32100 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-518*m + 508*m + 1766*m + 1)*(-10 + 10 - 8*m**3) to the form y*m + x*m**2 + f + v*m**3 + r*m**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1540, -3078, -4614, -6148, -7680, -9210, -10738?\nAnswer: -12264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-4)\/(6\/(-3) + 1). Let f be (-2)\/(-1) + (0\/1)\/(-2). Suppose 6*a = -r*u + f*a + 100, -145 = -5*u - a. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = 15*r**3 - 10. Let i(c) = 10*c**3 - 7. Let d(v) = v**3 - 9*v**2 - 39*v + 41. Let x be d(12). Calculate x*z(g) - 7*i(g).\nAnswer: 5*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(5\/2)*z)\/(z**(-2\/15)\/z*z))\/((z*z**(-7\/4)*z*z)\/(z*z**(-2\/3))) assuming z is positive.\nAnswer: z**(163\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -k + 20 = -2*d, -5*k + 3*d - 16 + 88 = 0 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pclrupflfupfulpr. What is prob of sequence cp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ukkkkkukuu. Give prob of sequence uukk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -428.64 and -0.17409063?\nAnswer: 428.46590937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23194807 is divided by 99?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:27 AM and 4:32 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 16126 and 3322.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 + 0 - d + (-2 + 0 + 1)*(3*d + 7*d + 7*d) + d - 4*d + d + 1 - 1 - 4*d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 3*a**3 - 2*a**2 + a. Let t be n(1). Let o = -1 + t. Suppose 3 = z + o. Is 4 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the third derivative of -3*d**2 - 11\/6*d**3 + 0 + 0*d + 3\/8*d**4 + 1\/60*d**5. What is the smallest common multiple of 11 and g(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1152)*3)\/(sqrt(6) - (sqrt(30) + sqrt(30)*2)\/sqrt(5) - sqrt(6)) + -1 + (3*sqrt(432)*2 - (sqrt(432) + -3*(sqrt(432) + -1)))**2.\nAnswer: -584*sqrt(3) + 27656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 272462436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1\/19 (b) 1\/10 (c) 10 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -p**4 - 1450*p**3 - 48177*p**2 - 46728*p = 0 for p.\nAnswer: -1416, -33, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 4, l: 1, t: 2, h: 2}. What is prob of sequence ppt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2801 + 2801.1. Which is the fourth biggest value? (a) k (b) 3 (c) -3 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -648 - 0.6207?\nAnswer: -648.6207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 2*g**2 - 31*g - 13. Let y be u(8). Let r = y - -277. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 16699, 16703, 16705, 16705, 16703, 16699?\n\"Answer: -s**2 + 7*s + 16693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4\/26)\/((-2783)\/(-36179))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 21\/63*-3*(-1)\/(-6)*-6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -17\/111 and -43\/33.\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide 1719 by 3.\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = -14 + 9. Let i(o) = -o**3 - 9*o**2 - 4*o + 2. Let s be i(y). Let g = 236\/3 + s. Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pppppp. Give prob of sequence ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -50+683585638.938\nAnswer: 683585588.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 85630 = 1614*c + 22684 for c.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Do -7 and -302\/37 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - 13 = 11. Let p = m - -7. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:11 AM and 2:11 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 246?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -206*h - 230*h - 212*h - 5 - 209*h + 849*h.\nAnswer: -8*h - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2 - 6034.\nAnswer: -6034.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n**3\/3 + 3*n**2 - 11*n\/3 - 7 = 0. Calculate n.\nAnswer: -1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + 5 = 5*y - 14, 4*y = p + 16. Suppose -2*m - 3*v = -39, 4*m - 3*m - 21 = -3*v. Suppose -z = -y*z + m. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = t**3 + 10*t**2 + 11*t + 9. Let d be s(-9). Which is bigger: d or -10?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 9*u + 1883 - 1775 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*z - 9*z = 68 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.1 (b) -2\/57 (c) 7\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.134866 rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-424)\/318)\/((-20)\/(-205))*3.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 951844367?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f be -2 - (-14 - 1)\/3. Suppose -3*q + 3*w = -2 - 1, -5*q + f*w = -5. Let j be ((-3)\/(-1*3))\/q. Which is greater: -1\/5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 101*t**3 - 10983*t**2 - 2832*t - 234. Calculate n(109).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 153 and 1486684?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by -149560?\nAnswer: 3\/149560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -t + 3. Let g be m(4). Let v = g + -6. Let u be v\/42*(-2 + 9). Is u smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/3? (a) -1\/31 (b) 0 (c) 0.2 (d) -42\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11179.\nAnswer: 7, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 162 and 521685.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 6 - 6. Suppose 3 - 3 - i**3 + a + i + i**4 - i**2 = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28 divided by 159217.\nAnswer: 28\/159217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o = -57 + 27. Let t = o + 29.9999977. Round t to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*v - 43 = -7. Let s(x) = 7*x**2 - 2*x - 2. Let y(m) = 8*m**2 - 2*m - 2. What is v*s(j) + 5*y(j)?\nAnswer: -2*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2 (b) -2\/7 (c) 2\/37 (d) -1\/2 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -1872, -1934, -2038, -2184?\n\"Answer: -21*j**2 + j - 1852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = x + 8*x + x - 9*x. Let p(h) be the first derivative of h**6\/45 - h**3\/3 - 2. Let g(y) be the third derivative of p(y). What is g(k(z))?\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*v - 81 - 7. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3 - -2. Let q be 72\/(-40) + (-1)\/5. Let o = 0.34 + 0.06. Which is the nearest to h? (a) q (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 - 2 + 1)*(0*d - d + 3*d)*(-3 + 3 + 2*d) in the form i + n*d + k*d**2 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = -23 - -19. Calculate the common denominator of 75\/(-18)*(-18)\/f and 97\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that -2*c**3\/3 - 22586*c**2 - 203248*c\/3 + 90336 = 0.\nAnswer: -33876, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 56*y**3 - 1. Let f be t(1). Suppose f - 7 = g. Let o = -33 + g. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -s**3 - 4*s**2 - 4*s - 3. Let g be f(-3). Suppose -5*r - 3*u - 27 = g, -5*r - 4*u + 0*u = 31. Sort -8, 2, r in descending order.\nAnswer: 2, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 7 + -7. Suppose r = 2*w + 2*w. Suppose 3*k - 3*p - 3 = 0, 0 = -p - 3 + 6. Solve -5*h = -g + 20, g + k*h = -w*g - 16 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 3*z**3 + 2*z**2 - 1469*z - 5894. What is u(-4)?\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -4017, -4014, -4019, -4038, -4077, -4142, -4239?\n\"Answer: -z**3 + 2*z**2 + 4*z - 4022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -7776092 divided by 3?\nAnswer: -7776092\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 5835920*j**2*n + 4*j**2 + 9*j*n + n - 50876951 wrt n?\nAnswer: 5835920*j**2 + 9*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -83*d + 94*d - 33 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -21055 divided by 1\nAnswer: -21055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -8.151931964 to 1 decimal place.\nAnswer: -8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:46 AM and 12:30 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Determine d so that 0 + 0*d - 20\/7*d**2 + 2\/7*d**5 - 26\/7*d**3 - 4\/7*d**4 = 0.\nAnswer: -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by 320078?\nAnswer: -3\/320078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -8062131 and -13?\nAnswer: 8062118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 50 = -15. Suppose -13 + s = -2*c. Suppose -8*w - 65 = -c*w. Is w greater than or equal to -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*p = 4*p + 20. What is the nearest to 2\/9 in 0.2, 0.5, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*t + 2*h + 2, -61*t + 3*h = -58*t - 18. Let f(n) = 5*n**3 - 6*n**2 - 5. Let j(k) = -k**3 + k**2 + 1. What is t*f(a) + 11*j(a)?\nAnswer: -a**3 - a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 504162040 not equal to 504162041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t be (80\/12)\/((-4)\/(-21)). Solve 0 = -32*z - 163 + t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = h**2 - 7017*h - 168979. Calculate v(-24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 64730 divided by 12946?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 190 is divided by 34.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44 = -2*c - 0*c + 4*l, -4*c + 3*l = -78. Let x = -11 + c. Solve 4*s = -13 - x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-5 + 1 + 2)*(-936 - 509 + 88)*(0 + 0 + l) in the form r + u*l and give u.\nAnswer: 2714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 2 f when three letters picked without replacement from ffffffoffffffkfffff.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f = -36 + 66 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = u - 6*u**3 - 3*u**2 + 1 + 3*u**2. Let v(g) = g**2 + g. What is the least common multiple of v(4) and j(-1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 2*a - 16. Let y be n(10). Let x = 8 + y. Let j be (-4 + (-20)\/(-6))\/((-2)\/15). Solve 4*z = -4*s - 32 + x, j*z - 4*s + 25 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:32 AM and 12:12 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5 - 1. Suppose -4*f = n*i - 12, 4*f - 4*i - 21 = -5*i. Suppose f + 64 = 5*o. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 186.52 - 86.52. What is the third biggest value in i, -10, -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 17 and 425?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.22 and -3.2.\nAnswer: 0.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = w + 19. Let l be i(-9). Suppose -4 = 2*b - l. Suppose -4*p - b*a + 125 = 0, p - 3*a + 1 = 36. What is the highest common divisor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -27*v**4 - 163*v**6 + 19*v**4 - 60*v**2 - 2 + 16*v**4 - 71*v**2 wrt v?\nAnswer: -19560*v**3 + 192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3\/(-12) - (-493878)\/88. Suppose 355 = -7*k + w. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*t**3\/13 + 6*t**2\/13 - 8*t\/13 - 24\/13.\nAnswer: 2*(t - 2)*(t + 2)*(t + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3267 or -10211?\nAnswer: -10211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r = -4.632 - -8.632. Suppose z + 0*z = -3. What is the third biggest value in z, r, 0.6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 495.8388 micrometers in centimeters?\nAnswer: 0.04958388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3 - 3*k**3 + 25*k + 3 + 2 - 27*k to h*k + z*k**2 + i + a*k**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1907, -3826, -5747, -7670, -9595, -11522?\nAnswer: -13451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3552*y**5 - 116*y**2 + 2 wrt y?\nAnswer: -213120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 139973 and 11.\nAnswer: 1539703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 101 divide 1118521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*u**3 - 35*u**3 + 54*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4\/11? (a) -12 (b) -23.27 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1535 + -128. List the prime factors of r.\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 6*f + 51 = 3*f, 5*n - 4*f = 88. Let y = 69 - 30. What is the remainder when y is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = 5*r + 17, -3*r + 2*s = -2*r - 5. Is (4 - r)*156\/30 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41 = -5*i - 21. Solve -4*v - i*c = c - 40, -c + 29 = 5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2680\/90 + -30 - (-212)\/(-18)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 111*v**2. Let h(k) = -16*k**2. What is f(h(a))?\nAnswer: 28416*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = n + 198 - 3*n + 6*n - 2*n - 179. Give r(-17).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-8)\/10)\/(110\/(-825))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3195270 and 1440.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 6*j**2 - 3. Let k = -7 + 10. Is 17 a factor of r(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2667 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -m + 329*m**2 - 17*m**3 + 15*m**3 - 235*m**2 as i*m**3 + n*m**2 + w*m + x and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 + 5 + -26 + 12 - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -1112*z + 1123*z = 220 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -43 - -68. Let j = -5 - -5. Suppose j = 9*t - 8*t - 48. Calculate the remainder when t is divided by v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 32798497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find w such that -25*w**4\/2 + 95*w**3\/2 - 55*w**2\/2 - 15*w\/2 = 0.\nAnswer: -1\/5, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 3, a: 9, j: 4}. What is prob of picking 2 a and 1 f?\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is eleven halves of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -9 + (-12 - ((-5 - -11) + -14))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 6 + 17*p**2 - 5*p + 5*p + p - 5. Let c = 3 - 4. What are the prime factors of y(c)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -96*y + 150*y + 48*y + y + y - 3*y + (y - y + y)*(1 - 2 - 1) in the form c + l*y and give l.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 770\/(-220) + 5\/(-6)\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -143 + 44. Let o = p - -98.9921. What is o rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j = 8, 3*g - j - 16 = -3*j. Put g, 2, 14, 3 in increasing order.\nAnswer: 2, 3, g, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-3744)\/(-672) + (-8)\/14. Solve -20*l = -17*l - 4*o - 13, 0 = -3*l + b*o + 14 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from {f: 2, g: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1834, -3536, -5326, -7246, -9338, -11644, -14206, -17066?\nAnswer: -20266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 19\/4 of a year in months?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose g + 3*g - 12 = 0. Which is the biggest value? (a) 0.5 (b) 2\/9 (c) 0 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 19*p - 10*p + 6*p + 5287 - 11*p - 3*p to the form g + v*p and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -5*h**2 + 68*h - 20. Let y be r(8). Solve y = 46*u - 12*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 284\/3*l + 95 - 1\/3*l**2 = 0 for l.\nAnswer: -1, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.01 * -6.7.\nAnswer: 0.067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = 12.6 - -0.4. Let i = g + -13.1. Let x = -105 - -205\/2. Which is the smallest value? (a) i (b) -4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -15*b + 12*b - 4*w, 3*b - 2*w = 14. Differentiate -598*c**3 - 7*c**4 + 8 + 598*c**3 - b*c with respect to c.\nAnswer: -28*c**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00004829 to six dps.\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 7241.54 seconds?\nAnswer: 7241540000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((117\/52)\/(6\/(-4)))\/((-45)\/720).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 17886, 35774, 53662, 71550?\nAnswer: 89438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 0 + 0)*(-3*q + 0*q + 7*q + (0 - 3 + 5)*(4 + q - 4) + (5 - 1 - 5)*(3*q - 2*q - 3*q)).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 69, 137, 205, 273, 341?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 86850 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 28076 is divided by 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 14 + 30?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2104512 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 10386844 to the power of 1\/3, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-14 + 0)\/(-2 + 0). Suppose 4*v - 51 = -y. Suppose 2 - v = -i. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -724*c + 750. Let x(k) = -364*k + 375. Let h(q) = 3*g(q) - 5*x(q). What is the first derivative of h(m) wrt m?\nAnswer: -352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 87 and 3944?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Determine n so that 2*n**4 + 3448*n**3 - 10362*n**2 + 8*n + 13816 = 0.\nAnswer: -1727, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 41311 and 379.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) be the third derivative of -c**7\/42 - 11*c**6\/6 - 347*c**5\/6 - 1925*c**4\/2 - 18375*c**3\/2 - 2465*c**2. Factor l(f).\nAnswer: -5*(f + 7)**2*(f + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4264105 centuries in millennia?\nAnswer: 0.04264105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 26*p**2 + p + 1. Let h be v(-1). Let w = h + -6. What is the remainder when w is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -2*r**2 - 53*r - 2. Let n(t) = 2*t**2 + 52*t + 3. Determine 4*k(l) + 3*n(l).\nAnswer: -2*l**2 - 56*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -2*z + 38. Let l be w(9). Let v(q) = q**2 + 20*q - 17. Let h be v(-21). Does 20 divide (111\/15)\/(h\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2231 - -2230.9999099. What is p rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 95 + -51. What is the greatest common factor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*s + 3*x - 2*x + 88, s - x - 44 = 0. Suppose 5*n - s = -5*b + 476, 3*n + 5*b = 316. List the prime factors of n.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {w: 10, b: 3, a: 4, d: 3}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 27407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 507 and 1690.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 42201, 84444, 126697, 168960, 211233, 253516?\n\"Answer: 5*b**2 + 42228*b - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*a - 5*c + 171 = -2*a, 0 = -2*a + 4*c + 92. Solve a + 12 = 14*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 2, d: 4}. What is prob of picking 4 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 759377118?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(-3 + (sqrt(1872) + 1 - sqrt(1872)) + 3 - 6*-1*sqrt(1872)*2)*-6 + -5)**2.\nAnswer: 119232*sqrt(13) + 87340561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 321*l + 9030 - 74*l - 76*l - 93*l - 80*l to n*l + h and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*x + 1060 = 1115 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*y + 3*f - 3 = -19*y, 4*y - f = -1. Suppose 5*z - 196 = -4*u, 2*z = -y*z + u + 81. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2\/8 + (-9)\/4. Let m = z + 6. Suppose -2*r = -m - 8. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -153 = 18*d - 135 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -150*g + 130*g + 812 + 1168. What is the highest common divisor of 2112 and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) 5 (b) 124\/377 (c) -2\/31 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 68357 = -100*k + 66957 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, 59979, 4, 0.2.\nAnswer: 0.2, 0.4, 4, 59979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 133\/(-49) - ((-12)\/(-2))\/(-2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14216.\nAnswer: 2, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = 22.85 + 0.15. Let g = -0.70323 + 0.20323. Which is the nearest to v? (a) 0 (b) g (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 681245.\nAnswer: 5, 19, 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yfr when three letters picked without replacement from {y: 2, j: 4, f: 5, b: 2, r: 1}?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.9561 - 1.0261. Let m be ((-2)\/(-6))\/(1\/2). What is the closest to w in 1\/4, m, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -555 - -2778\/5. What is the closest to 1 in l, -8\/5, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/((-64)\/44)*1*80\/20.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -5310 divided by 9?\nAnswer: -590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2.05 - -0.05. Let v = -474 + 476. Which is the closest to -2? (a) v (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (32 - -1) + (-769 - -689).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 197 a factor of 8289563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 409*h - 5*i = 405*h - 26, i - 7 = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -46\/95 and 76\/105283905?\nAnswer: 2000394195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express 4*t**2 - t**4 + 8*t + 6*t - 2*t + 0*t**4 + t**3 + 2*t**2 as j*t**3 + g*t**2 + b*t**4 + a*t + z and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -167.11 * 0.8.\nAnswer: -133.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -c5 - -380?\nAnswer: 2aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 306*f + 797*f = -1755*f - 180054 for f.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -19, -26, -372 in decreasing order.\nAnswer: -2, -19, -26, -372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide -16959755 by -3391951.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -4133 - 1.05?\nAnswer: -4134.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tzlt when four letters picked without replacement from {t: 2, z: 3, l: 3}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 + 1 + 0 + (-30 - -31).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34*v = 148 + 22. Solve 4*q + v*q = 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 640\/(-4)*(-625)\/2000\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 721 = -76*y + 2317 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 2*h + 60. Calculate u(-9).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1381593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -d**3 + 4*d**2 + 5*d + 5. Let y = 0 + -2. Let k be (2\/y)\/(2\/(-10)). List the prime factors of t(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 49*h + 1445. What is r(-33)?\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide 16 by 4961159.\nAnswer: 16\/4961159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((12\/(-1392))\/((-1)\/(-6)))\/((-3)\/4).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 6055\/7 + (-4 - -8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-47 + 22)\/((-1)\/22) a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -270, -7.\nAnswer: -270, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) be the third derivative of -f**5\/60 - f**4\/6 + 2*f**3\/3 + f**2. Let s = 178199 - 178203. Determine d(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -81*a - 745. Let c be t(-19). What is the greatest common factor of c and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + 13 + -7 + (1 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = 5*v + 6. Let j(x) = 0 + 0 + 2 - 38*x. Let s be j(v). Round s to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnndffofffn. What is prob of picking 1 n and 1 d?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -549*l - 87*l - 294 - 4233 - 2469 = 0 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 29233?\nAnswer: 23, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -4*q**3 - 2*q**2 - 8*q + 98. Let w(k) = -k**3 + k**2 - k + 32. Let m(b) = -f(b) + 3*w(b). Determine m(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 0\/2 + 24\/2. Let c be ((-2)\/(-4))\/(2\/(-8)). Let q be (c + 1)*(2 + -2). Solve 2*l = -4*h - k, -h - 5 = -q*l + l for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = w**3 - 5*w**2 + 5*w + 3. Suppose 3*c + 12 = -3*j, c - 4*c + 3*j = -12. Suppose -2*p = -8 - c. Give g(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 10 - 8. Suppose 2*q - y*z = z + 46806, 23390 = q + 5*z. Round q to the nearest 1000.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.32 + -1.18. Let s = o + 1.7. Which is the fourth biggest value? (a) s (b) -2 (c) 0.5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 297?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 62740 - 0?\nAnswer: 62740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*t**4 - 6488*t**3 + 7885740*t**2 - 4255861400*t + 860466289250.\nAnswer: 2*(t - 835)**3*(t - 739)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*h**4 - 2 + 2)*(-3*h + 2*h + 0*h) + (-2*h - h + 2*h)*(-3*h**2 - 2*h**4 + 3*h**2) + (3*h**2 + 7*h**2 - 23*h**2)*(-h**3 - 8*h**3 + h**3).\nAnswer: 108*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 50401 and 3419?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -47\/2196 and 151\/1464?\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 390 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 6147a17 (base 11) to base 3.\nAnswer: 202102201110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -50768 smaller than -50768?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 453 minutes after 11:09 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-6)\/8)\/(1\/8). Let b = -4 - h. Let n(g) = 16*g + 479. Let j be n(-30). Put b, -2, j in ascending order.\nAnswer: -2, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -859060277*k**4 - 3992*k**2 + 152*k - 97?\nAnswer: -20617446648*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 3106*s + 2319*s - 121872 = -362*s + 709*s for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 53*w = 121*w - 680. Let z be 1*(1 + 2\/(-2)). Suppose -4*f - 4*o + 9 + 79 = z, -5*o = w. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -106*w + 498 + 244 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + -4 + (-10 - -14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 6*w**2 - 4*w + 14. Let q be m(4). Let p = -55 + q. Calculate the remainder when p - 0 - (-12)\/(-4) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 527*u - 1045*u + 521*u - 153 as o*u + r and give r.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 304 and 373559?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Add -19.8902 and 0.06.\nAnswer: -19.8302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 3 take away -24.25?\nAnswer: 27.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = 3*o + 15, -2*x - 3*x = -2*o + 11. Let i(c) = 1 + 3 - 2 - c. Give i(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.37 + -0.4. Let d = f + -0.042. Let t = d - -0.16. Round t to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 1 = -3*v + 24, -4*v + 24 = -4*m. Solve -v*x + 5*x = -8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 35983534 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = 68 + -65. Suppose c - 102 = v*d, -15 = -5*c - 2*d + 478. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c = 3*j - 79, -2*c = -3*j + 3*c + 107. Let i = j + -25. Find the third derivative of 3*r**2 + 43*r**4 - 19*r**i - 15*r**4 wrt r.\nAnswer: 216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-76)\/(-18) - 8\/36. Let s(k) = 5*k**3 - 3*k**2 + 37*k + 27. Let t(i) = -i**3 + i**2 - 7*i - 5. Let c(b) = -2*s(b) - 11*t(b). What is c(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 88*v**3 - 2*v**2 - 2*v + 3. Let u(s) = 618*s**3 - 15*s**2 - 15*s + 21. Determine 45*a(q) - 6*u(q).\nAnswer: 252*q**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1926614 is divided by 271?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 4*h**3 - 20*h**2 - 59*h + 656. Is 29 a factor of a(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 265659670213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16025433?\nAnswer: 3, 5341811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 924808 to the power of 1\/2, to the nearest integer?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand -n**3 + 3*n**3 - n**3 + (3*n**2 - 3*n + 3*n)*(-319 + 20*n + 319).\nAnswer: 61*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 2, h: 2, m: 2, j: 2}. What is prob of sequence eme?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 714 - 480. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -7 and 0.97158.\nAnswer: -6.80106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -n**2 - n. Suppose -3*i - 54 = -0*i. Let m(t) = t**3 + 9*t**2 + 9*t + 1. Let s(w) = i*g(w) - 2*m(w). What is the derivative of s(z) wrt z?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 (base 15) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 13*i - 50. Let j(c) = -22*c + 98. Let d(s) = 3*j(s) + 5*o(s). Give d(-29).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 35 - 5. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = x**4 - 4*x**3 - 9*x**2 + 4*x - 20. Let n(r) = -r**4 + r**3 - r. Let q(z) = 4*n(z) + w(z). Find the first derivative of q(c) wrt c.\nAnswer: -12*c**3 - 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*r**3 - 97 + 115 - 18.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -2*r + 23 + 0*r - r. Suppose -2*b = -3*f - 1346 + 1406, -6*b = 2*f + 70. Determine t(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -175*y - 2. Let c(g) = -1. Let v(d) = 5*c(d) - n(d). Let u be v(-2). Let p = u - -1306. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-10)\/(-12)*(-480)\/(-600)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 28 = -44*n - 16 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nnnxlxlnln. What is prob of sequence xlnx?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*d**3*k - 5246865*d**2*k + 2*d + 8316926*k wrt d?\nAnswer: -6*d**2*k - 10493730*d*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z - 2*d - 1 = 1, d = 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 921035896 to the power of 1\/2, to the nearest integer?\nAnswer: 30349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*x + 3 = 12*x, 5*x = 2*z - 3. Solve z*s - 62 + 58 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*p + 15 = -3*p. Suppose p*f = 5*h, -h + 8 = 5*f - 16. Let i(l) = -l**3 + 3*l**2 + 3*l - 1. Give i(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 55687?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) be the first derivative of -v**4\/6 + 2*v**3\/9 + 2*v**2\/3 + 121. Let w(f) = 0. What is f?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-50)\/24 - 15\/(-20))\/(4\/(-12)). Solve 2*l - p = 4*n, -12*l + 10*l = n + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 3*u = -68, 4*x + 4*u + 61 = 5*x. Calculate the greatest common factor of 26 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-430)\/(-86) - (-1)\/(36\/(-183))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 76 minutes after 8:06 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*l + 5*l + 33 = 0. Let d(x) = -x**3 - 3*x**2 + 3*x + 14. Let h be d(l). Suppose 4*u - 311 = -9*k + 6*k, 397 = h*u + k. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*a**3 + 2*a**3 - 3*a**3 + (-3*a**2 + 2*a**2 - a**2)*(19*a - 9*a + 9*a) + 0*a**3 + 3*a**3 - 2*a**3 as i*a + d*a**2 + k + m*a**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 2*x - 59 = 3*j, -4*j - 31 = -x. Suppose -5*m + 3*a = -94, m + 9 - 29 = a. Let h = -10 + m. What is the least common multiple of x and h?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 107225?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 0.0034, -233\/8.\nAnswer: -233\/8, -4, 0.0034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((40\/(-35))\/((-168)\/980))\/((6\/(-3))\/(-12)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (106\/((-38160)\/(-945)))\/(3\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 3*p + z = 10, 0 = 4*z - 20. Let d be (-52)\/p + 2\/(-5). Let 5 - d*l - 2*l + 2*l**2 + l**2 + 7 = 0. Calculate l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -897410000 to the nearest 1000000.\nAnswer: -897000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.05 or -1554.416?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s = 74 + -74. Let i(g) be the third derivative of 1\/60*g**5 - 1\/6*g**3 + s*g + 0 + 1\/24*g**4 - g**2. Calculate i(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 52 + -22. What is the smallest common multiple of 2128\/56 - (-2 - 2) and t?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -347*z - 4846 = -3*t, 5*t - 124*z = -128*z - 76 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**3\/(n**(-6)\/n)*(n**2)**31*(((n**(-3\/10)*n)\/n*n*n)\/n**(-6\/11))\/((n\/(((n**4*n)\/n)\/n)*n)\/((n*n\/(n**3\/n*n*n))\/n)) assuming n is positive.\nAnswer: n**(7947\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6811016172.\nAnswer: 2, 3, 567584681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:53 AM and 8:56 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -41\/8916 and -113\/72.\nAnswer: 53496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 41 + 8 + 35 - (-5 - (-14 + -8)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*m = 3*j + 31, 0 = 55*m - 51*m - 20 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -o. Let n(r) = r**3 + 14*r**2 + 14*r + 15. Let c be n(-13). Let u = 0 + c. Let y(x) = 75 + 8*x**u - 75. Calculate h(y(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*q**2 + 33*q**4 - 104 + 104 - q**3 - 6*q wrt q.\nAnswer: 792*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = 3*p - 24, -7*p + 21 = -4*p - 4*o. Let y(f) = p*f + 319*f**2 - 320*f**2 + 2 - 2*f. Give y(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -o**2 + 8*o - 7. Let m be w(7). Suppose 3*v - z + 4 = m, -2*v - 3*v - 9 = -4*z. Let x = 343 - 338. Sort x, -4, v in descending order.\nAnswer: x, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g = s - 28, -3*g + s + s + 49 = 0. Find the second derivative of 14*i**3 + 3*i**2 - g*i**3 + 2*i - 3*i**2 wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence end when three letters picked without replacement from {q: 5, w: 1, u: 1, n: 4, d: 1, e: 1}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*c + 0 + 0 + 2*c**2 - 232*c**3 - 18*c.\nAnswer: -232*c**3 + 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n be 3\/(-1)*(-112)\/42. What is the common denominator of 172\/320 - n\/(-20) and -23\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 3*u**2 - 9*u - 4. Let s be z(11). Calculate the highest common factor of s and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 34 + 8\/(-192)*28*6 + 5?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1.1? (a) 1\/6 (b) -1 (c) -5\/3 (d) 2 (e) 97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 129763805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = 45 + -19. Let f be -4*5 - (2 - 1). Let p = f + b. Solve p*k + 6 - 20 = 3*l, 0 = -3*l - 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + n = 102326, 31*l - 511654 = 26*l + n. What is l rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 90*t**5 - 60*t + 60*t + 3*t**3 - 3*t**3 - t**5 + t**5 - 4*t**3 + 4*t**3 + (-1 + 3 - 1)*(2*t**5 + 3*t**3 - 3*t**3).\nAnswer: 92*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - 4*y = 9, 5*f - 4*f - y - 4 = 0. What is the tens digit of -688*5\/(-10)*f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*i**3 + 2362680*i**2.\nAnswer: -3*i**2*(i - 787560)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -2*j + 23*j**2 - 10*j**2 - 11*j**2. Let k(w) = -8*w**2 + 9*w. What is 2*k(c) + 9*r(c)?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = p - 4. Let x(y) = 2*y - 8. Let z be x(6). Let j be i(z). Which is the nearest to -2\/9? (a) j (b) 2 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((53340\/8)\/7)\/(-3)*-2.\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 2 u when three letters picked without replacement from jueux.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 135184322?\nAnswer: 2, 7, 13, 359, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 614275?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 1819 = -21*d + 32427. What is the remainder when d is divided by 213?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - g + 29 = 0, -3*n = -2*g - 16 + 44. Let w(u) = u**2 + 18*u + 112. Let q be w(n). Calculate the greatest common divisor of q and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (51\/((-1785)\/14))\/(8\/4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 105574.98603 rounded to the nearest 100?\nAnswer: 105600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 7 and 9443.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(104) - (sqrt(104) + 2*sqrt(104)*3))\/(sqrt(288)*1))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -14*n**2 + 3469*n + 25751. What is f(255)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -383839\/26 + 14766. Find the common denominator of (1 + (-4)\/8)*-95 and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -d - 1. Let h(b) = -13*b - 2. Let f(o) = -h(o) + 6*k(o). Let y be f(3). Suppose 0*m = 4*m - 12. Solve -m*l - 2 + y = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2179*z + 4298*z + 4223*z + 2116*z - 2977*z in the form h*z + a and give h.\nAnswer: 9839","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 50*-2*(-16)\/640*-8?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) be the second derivative of z**3\/3 - z. Let j(u) be the first derivative of 0*u + 3 + 1\/3*u**3 + 0*u**2. Calculate k(j(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) be the first derivative of k**3\/3 - 4*k**2 - 50*k + 75. Is r(23) 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 {a: 4, j: 4, z: 4, u: 3, w: 1}. Give prob of picking 2 a and 1 u.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bb when two letters picked without replacement from {f: 3, d: 5, u: 2, b: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -1136*t + 51. Is w(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 101078 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 u and 1 z when four letters picked without replacement from {z: 2, u: 18}?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = 33719 - 6632. What is the thousands digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -a**3 + 4*a + 10. What is o(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 700 minutes after 3:08 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide 545351 by 71.\nAnswer: 7681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 214254 and 414.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -11552*g**3\/5 + 78736*g**2\/5 - 58466*g\/5 + 11532\/5.\nAnswer: -2*(g - 6)*(76*g - 31)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 72652?\nAnswer: 2, 41, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = 18192.49 - 17876. Let g = a + -318. Let c = g + 1.509999862. Round c to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7\/(-2) - (-18 + 14).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 53\/4 of a microgram in nanograms?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 214382855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = -58023 + 58563. Factor g*c**2 + 3\/5 + 36*c.\nAnswer: 3*(30*c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -h**2 + 11*h + 5. Let w be x(8). Let n = w - 17. Calculate the highest common divisor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-i + i + 2*i)*(-17 + 3*i + 17)*(1 + 2 - 1).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -3*l**2 - 6. Let b(d) = -2*d**2 - 5. Suppose 3*n = 2*n + 3. Let k be 2\/n - 10\/(-3). Calculate k*r(p) - 5*b(p).\nAnswer: -2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) be the first derivative of k**8\/1008 - 2*k**7\/315 + k**6\/120 + k**5\/45 - k**4\/18 + 2*k**2 - 28. Let j(u) be the second derivative of z(u). Factor j(c).\nAnswer: c*(c - 2)**2*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -7.043284274621 + 0.02\nAnswer: -7.023284274621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2321857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 118, 576, 1340, 2410?\n\"Answer: 153*c**2 - c - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1 - 17. Let l = c - -30. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -s**2 - 9*s + 11. Let n be r(-7). What is the second derivative of -281 - 46*w**3 + n*w + 281 wrt w?\nAnswer: -276*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a when two letters picked without replacement from vaaaavaaa?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n be (0 + -4)*3\/(-4). Let w(s) be the first derivative of 6 + 2*s - 1\/2*s**2. Calculate w(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 5325 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 669 minutes before 9:40 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -39 (base 13) in base 9?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 10 - 24. Let q be 4\/v + (-30)\/(-7). What is the derivative of 6*a**4 - 4*a**4 - 4*a**q - 2 wrt a?\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 1\/44, -0.06, 41, -2?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -0.447*0.228\nAnswer: -0.101916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that -2*t**5 + 134*t**4 + 7914*t**3 + 127818*t**2 + 807840*t + 1765800 = 0.\nAnswer: -15, -6, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:55 AM and 3:41 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-642)\/(-42) - 15 - 24\/133?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2058\/15435 - 137\/15.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -84 + 164 - (-4 - 0 - -3 - -9) - -10\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + (2 - (3 + 0 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -61 less than 81767?\nAnswer: 81828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3189512723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 25 = -5*u, y + 9 - 2 = 5*u. Factor -8 + 2*d**2 + 2*d**u + d + 6*d - 3*d.\nAnswer: 4*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -312*((-354)\/3)\/(-472)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3151 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 14020*g**2 + 224*g + 31068. Let l(j) = 1558*j**2 + 24*j + 3452. Let t(k) = -28*l(k) + 3*u(k). Find the first derivative of t(r) wrt r.\nAnswer: -3128*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-2*sqrt(252) - sqrt(252)).\nAnswer: -36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -19? (a) 15 (b) -5 (c) 0.7 (d) 2.3 (e) 3\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -3, -5, 227?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -3*f + 10. Let o be 11 + (0 - 4) + 5. Calculate s(o).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1999909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -b*j**4 - b + 9831*j**4 - 231*j wrt j?\nAnswer: -12*b*j**2 + 117972*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = a**3 + 1 + 6*a**2 - 3 + a**3 + 2*a - 3*a**3. Is i(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 496.121ml?\nAnswer: 0.496121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 129 divide 13657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 559121387?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*2*(sqrt(1210)*-3 - sqrt(1210)))\/((sqrt(50)\/sqrt(40) - (sqrt(5) + sqrt(405) + (sqrt(405) + sqrt(405)*-1 - sqrt(405) - sqrt(405) - sqrt(405))))*2).\nAnswer: 88*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 2*k**2 + k - 7. Is f(-4) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1756098, 3512200, 5268302?\nAnswer: 7024404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 648906 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k be 0 - 4\/(-1)*1. Let d be 2\/1*6\/k. Calculate the remainder when 23 is divided by d*12\/(-9)*-3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/((-20)\/7) + (-18)\/(-30)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 5*i**3 - 4*i**2 + i - 4. Suppose h = 2, 2*s + 2*h - 37 = s. Calculate the remainder when v(3) is divided by s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -107*r - 73*r + 2416 = -29*r for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 135 divided by -5\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k**(-4))\/k**(-6\/11))\/(k**(1\/6)*(k**(-3)\/k)\/k) assuming k is positive.\nAnswer: k**(157\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -2 times 6000547?\nAnswer: -12001094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Work out -285984850773 - 5.\nAnswer: -285984850778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*a**2 + 5 + a**3 - 5*a**4 - 5*a**2 + 2*a**2 + 6*a**4 to o*a**3 + j*a + w + z*a**4 + x*a**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (15 - 13) + (1 - 0) + -14 + 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/16 of a century in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/(-64)*2)\/((-10)\/(-16)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 83 + (24 - 101) - 96?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put together -126 and -35.\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wbbssfsbwcsbcstfffs. What is prob of sequence tssb?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2)\/3*(-42)\/(-4). Let z = t - -3. Sort -5, z, -1 in increasing order.\nAnswer: -5, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-5)\/(15\/6) + 2. Let v(d) = -d - 4 + 2*d - d + d. What is v(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 29, 24, 7, -28, -87, -176, -301, -468?\n\"Answer: -p**3 + 2*p + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 2383 divide 114039522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 7350391 a multiple of 561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -3ba1 - 1?\nAnswer: -3ba2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -4 (base 11) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*k = -3*v + 12, -2*v + 3*k = 1001 - 1009 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 4017085867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v, 1 j, and 1 m when three letters picked without replacement from {j: 3, v: 1, p: 3, m: 6}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + (-4*1*4*sqrt(325)*6*-1*-4)**2)*-2.\nAnswer: -95846396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -21*u - 11. Suppose 38*s - 18 = 36*s. Let t(m) = -m - s*m + 11 - 16. Determine -13*t(d) + 6*w(d).\nAnswer: 4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = v - 71. Let c be s(79). Suppose 0*z + 16 = 2*z + 2*g, 5*z + g - 40 = 0. Calculate the greatest common factor of c and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) be the first derivative of 0*b**2 - 1\/16*b**4 - 1\/24*b**6 + 2 + 0*b**3 + 0*b - 1\/10*b**5. Factor s(n).\nAnswer: -n**3*(n + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2.279 - -2.329. Put w, -1\/2, 1\/7 in decreasing order.\nAnswer: 1\/7, w, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*-2*(sqrt(112) + -1 + 0 - (sqrt(112) - ((sqrt(112) - (sqrt(112)*-1 - sqrt(112)))*-5)**2))*-3.\nAnswer: 755970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 65788.\nAnswer: 2, 16447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 2*p = 129 - 23, -2*p - 16 = -v. Solve -v*f = -3 + 183 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (561\/68)\/(154\/(-168))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-4)\/3*6\/(-4). Suppose -75 = -7*n + k*n. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -1. Let q(a) = a - 1. Let v(x) = -p(x) + q(x). Let m(g) = 81*g**2. What is m(v(i))?\nAnswer: 81*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -1571 (base 11) in base 16?\nAnswer: -7de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 31 - 27. Let n(f) = -3*f - 7 + 14 + i*f. What is the tens digit of n(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*r + 2 = -7*r + 2*x, -5*r + 8 = -4*x. Suppose 12 + 4 = -j + r*s, 3*j - 2 = 2*s. What is the remainder when j is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 0 (b) -2\/9 (c) 0.2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 16) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i = 3*p - 11 + 2, -4*i + 15 = 5*p. Let n be p - (4\/(-7) + 15\/(-35)). Let l(f) = -f**3 + 11*f**2 - 7*f + 9. What is the units digit of l(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = 146*d**3 - d**2 + 5*d - 4. Let l be y(1). Suppose -3*j = -9, -g + j + l = -79. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 + 14 + -21 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 613134831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -15 - (14 - ((21 - 20) + 10))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-27)\/((-2916)\/1161)*6\/(-12)*16\/2.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11272*t + 0*t**3 - 22560*t + 11288*t - 4*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*v - 204 = -246 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 1, b: 7, e: 2, p: 6, v: 3}. What is prob of sequence evpe?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3122760 + -3122761.0900162. Let a = 1.198 - 0.108. Let r = b + a. Round r to six decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 446 and 27206?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -19, -3364, -2, -3 in ascending order.\nAnswer: -3364, -19, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is s in s**5 + 371*s**4 + 219 + 214 - 1064*s + 419*s**2 - 398*s**4 - 80*s**2 + 163*s**3 + 155 = 0?\nAnswer: -3, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -298 + 775. Suppose i - 493 = -o, i + 2*o = -3*o + n. Suppose k - 8*k + i = 0. What is the remainder when k is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2, 18\/11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -2224071652951 plus -0.5?\nAnswer: -2224071652951.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -6 + (-1 - (-4 - -2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve d = 0, -2*b = b - 4*d + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5994, -12030, -18080, -24138, -30198, -36254?\nAnswer: -42300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 327, 751, 1187, 1635, 2095, 2567?\nAnswer: 3051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 1 + 3*n**2 + 28*n + 7*n + 0. Suppose -17*u + 135 = 509. Is a(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -3*i + 6. Suppose 0 = 4*h - 42 - i. Calculate the remainder when (-23)\/((1 - 3)\/2) is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 5 = -10. Suppose 0 = -0*h - h + 2. Find the second derivative of h*x + x**p - 2*x**3 + 0*x wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/(8\/48*4*99\/(-12))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-87 + 328 - 86 - 403*b - 90 - 83)*(0 - 5 + 4).\nAnswer: 403*b + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 1490, 1474, 1446, 1406, 1354, 1290?\n\"Answer: -6*a**2 + 2*a + 1494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -410 divided by 82?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -248 - 9*z**2 + 248.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 188356302 to the nearest integer?\nAnswer: 13724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Add -1.5 and -1944.\nAnswer: -1945.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -24753151300 rounded to the nearest one million?\nAnswer: -24753000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1115\/7 - 159. Let v = -20 - -23. Factor f*k**4 + 0*k**2 - 4\/7*k + 4\/7*k**v - 2\/7.\nAnswer: 2*(k - 1)*(k + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 5*o - 20. Let w(c) = c - 1. Let i(l) = 2*v(l) - 14*w(l). Calculate the remainder when i(-21) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.4367 and 7685.\nAnswer: 3356.0395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 2*j - 1 + 1 + 3*j + 0 + 0 - 2*j + 4 - 4 + (-17*j - 4 + 5*j + 10*j)*(3 - 3 - 2) in the form p*j + d and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 9*l**4 - 3*l**3 + 6*l. Let t(j) = 10*j**4 - 3*j**3 + 7*j. Let g(w) = -6*t(w) + 7*x(w). Suppose g(p) = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -54*c. Let z(p) = 1475*p. Calculate z(h(n)).\nAnswer: -79650*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4 - 55cb?\nAnswer: -55cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:21 AM and 11:04 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = 419 - 423. Let s = -17\/33 + 2\/11. Let o be 6\/(-36) + (-62)\/(-12). What is the closest to s in v, 0.4, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 2*i - 4. Suppose 4*t + 0*t = -5*m - 220012, -i*m + 3*t - 131991 = 0. Round m to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7.869215 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = f**2 + f - 1. Let w be m(-3). Calculate the remainder when w*2 - (0 + 0) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 24 + -45. Let x = a - -25. Suppose -6*w = -4*c - w, 2*c + 6 = x*w. Solve c*b + 16 = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(-3)\/(l*l*l\/(l\/(l**(-5)\/l)))*l**(-6)*l\/(l\/(l*l**(-1\/3)))*(l**6*l**(3\/2))**(-2\/39) assuming l is positive.\nAnswer: l**(-184\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 2.8 * -8.8\nAnswer: -24.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 267*g - 636*g - g**2 + 4987*g + 1283*g to the form i*g + y*g**2 + q and give i.\nAnswer: 5901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 8*a**2 - 5*a - 7. Suppose 4*i - 9 = 5*o, -12 = 8*i - 10*i + 4*o. Does 16 divide n(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b - 233*o = -237*o - 180, -2*o + 16 = 2*o for b.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 11369, 11889, 12407, 12923, 13437, 13949, 14459?\n\"Answer: -l**2 + 523*l + 10847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -v**3 - 4*v**2 + v + 4. Let n be z(-4). Sort n, 2, 2\/9 in decreasing order.\nAnswer: 2, 2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20*r - 12*r - 4*r - 9*r - 34*r.\nAnswer: -79*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = q + 4*q + 10, 5*q = -5*c - 10. Suppose -2*a + 22 = -c*a - 4*p, 3*a - 30 = 3*p. Let j = a - 16. Is -6 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 1 c when two letters picked without replacement from earecenecwnrcec?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 14*n + 173. Let m be f(-13). Let v(w) = -w**3 - 6*w**2 - 15*w - 14. Calculate the remainder when v(m) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -16 - -16. Solve -5*c - 5 = -5*a + a, y = -a + 3*c + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) be the third derivative of -u**4\/12 + u**3\/6 + u**2. Let o be ((-4)\/(-10))\/((-3)\/(-15)). Suppose -v = p + o + 1, -4*v + 6 = -5*p. Determine x(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 11640 = 3*w, -4*w = -293*y + 297*y - 15488. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 3*m**3 + 14*m**2 + 1278*m + 6372. Determine u(-5).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve l - 9 = 4*b, b = l - 4 + 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = l**2 - l - 2. Let w be q(0). What is the remainder when w\/((-21)\/19 - -1) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -479 + 649. Calculate the greatest common divisor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 644 + -14?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -x + 1. Let p = -32 - -35. Suppose 25 = 2*z + p*z. Give f(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 118647 to the power of 1\/2, to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*h + 7*h - 2*r = -2, -15 = -3*r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 13*o - 20. Let n(z) = 7*z - 11. Let p(s) = 11*n(s) - 6*q(s). Let f(d) = -d**2 + 2*d + 2. Let b be f(3). What is p(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 316 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 595000 and 27076?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 22 and 74972.\nAnswer: 824692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 4, h: 5, r: 2}. What is prob of picking 2 r?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -1\/13, -1 in decreasing order.\nAnswer: 1, -1\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -2*w + 25. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}