{"text":"Question: How many minutes are there between 8:11 PM and 10:18 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -233, -353, -687, -1343, -2429?\n\"Answer: -18*r**3 + r**2 + 3*r - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*s + 205274 - 4*s + 7*s.\nAnswer: -2*s + 205274","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (0*(-3)\/3)\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 496, 2028, 4580, 8152, 12744?\nAnswer: 18356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -2*q**3 + 26*q**2 + 427*q - 5214. Calculate d(11).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 154379870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 - 426407?\nAnswer: -426409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/22234270 and 111\/20.\nAnswer: 44468540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -195 + 177. Calculate the lowest common multiple of (-2)\/6 - 0 - 1878\/t and 7.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(2\/7))**50\/(((w**1\/w*w)\/w)\/w)**(-5))**47 assuming w is positive.\nAnswer: w**(3055\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -391 + 438.8. Let j = t + -48. Which is the smallest value?  (a) -8  (b) j  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46453614.\nAnswer: 2, 3, 173, 44753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2681*z + 3859*z + 3415*z.\nAnswer: 4593*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0399945374 + 0.61.\nAnswer: 0.5700054626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -4*m - 20. List the prime factors of p(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 1070 - 11*l - 499 - 512. Calculate c(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -2*k**2 + 7*k**3 - 9956*k + 9959*k - 8*k**3. What is l(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1001011 (base 2) to base 5\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 d when two letters picked without replacement from {d: 6, a: 2, s: 5, j: 5, p: 1}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 41701743?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 131\/6 and 23\/((-144210)\/43400) + 7.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**2 - 12*m + 5. Let n be u(13). Let g be (-3)\/2*(-4 + n). What is the units digit of (g\/(-12))\/((-4)\/(-160))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(126\/(-231)*2\/(-4)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -h - 5. Suppose -3*o - 2*o = h. Let s be o - (1 - (2 - -2)). Solve s*i + 3*i = -10, -5*i = -5*l + 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20, 86, 196, 350, 548, 790, 1076?\nAnswer: 1406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3 or -6871\/4489?\nAnswer: -6871\/4489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.246 + -0.436. What is the third smallest value in -0.2, 5, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -25*i + 7. Let c be b(-9). Let q be (-1*1176\/16)\/(1\/2). Let w = q + c. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 22780 + -22780. Which is the third smallest value?  (a) -0.52  (b) f  (c) -1\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 9*a. Let z be u(-2). Let b = -7 - z. What is the highest common factor of 44 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1bb + 24?\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 261*z + 1819. Give j(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 694973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2967\/8 + -371. What is the closest to 1\/5 in u, -5, 3, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = -2 - 3. Let r(w) = 35*w**2 - w. Let x be r(q). What is the highest common factor of x and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 43, -10, 3, 1 in descending order.\nAnswer: 43, 3, 1, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5031 by -1783.\nAnswer: 5031\/1783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 121 and 4631?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 - -1041?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 212*f**2 + 27*f + 17. Let r be b(-7). Let w = -4577 + r. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -1. Let t(j) = -10*j - 68. Let p(a) = -4*l(a) - t(a). Let u be p(-7). Solve -2 = z + u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*t + 120 = 15*t. Solve 0 = t*b - 13*b - 20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**4*f*f\/f**1)**32*f**(-1\/7)\/f**(-1\/9)*(f**1*f)**(1\/4) assuming f is positive.\nAnswer: f**(24251\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.5  (b) -0.5  (c) 16  (d) -4  (e) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**2 - 8*m - 12. Let l be q(9). Suppose -2 = -b - 3. Sort b, 1, l in decreasing order.\nAnswer: 1, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = 17*a + 18 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -73 + ((-3 - (11 + -9) - -4) + 9 - -3).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1, 9, 7, 8 in ascending order.\nAnswer: -1, 3, 7, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pg when two letters picked without replacement from uuuuutuuutgup?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 - 8. Let y be 16\/p*(-9)\/4. Calculate the greatest common factor of y and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1028*-0.3.\nAnswer: -0.03084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/2)\/((-4)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the third derivative of -1\/70*k**7 + 13 + 3*k**2 + 0*k**3 - 1\/4*k**5 - 1\/4*k**4 + 0*k - 1\/10*k**6. Factor o(n).\nAnswer: -3*n*(n + 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + (-42 - -34 - (-1 + 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 12 + 13 = 0. Suppose -2*x = -n + 1, t - 2 = 3*n. Solve x = -5*s - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 12001121.961 and 12.\nAnswer: 12001133.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*z**3 + 4*z**3 + z**3 + (4*z**2 - 27*z**2 - 13*z**2)*(-2*z + 0*z + 3*z) to f*z**2 + y + b*z**3 + o*z and give b.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 433 is divided by 89?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -591, -697, -803, -909, -1015, -1121?\n\"Answer: -106*g - 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.3, -9, 2\/13?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5590 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -146459*b + 24392 wrt b.\nAnswer: -146459","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5153440 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24)\/84*-63*2\/(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 554186657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -165*p + 147*p = 144 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -466\/9 + 607\/9. Calculate the common denominator of x and 15 + (-8417)\/855 + (-8)\/(-18).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0.2, -1.8, -0.1 in ascending order.\nAnswer: -1.8, -0.1, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((y*y\/y**7)\/y*(y**8\/y)\/y)**(-16))**(-8\/3))**9 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 109626 to the power of 1\/2, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**1)**(-2\/13)*(x*x**(2\/5)*x)**(2\/123))**(3\/13) assuming x is positive.\nAnswer: x**(-918\/34645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*g**5 + 7*g**5 - g**5 + (2*g - 2*g - 4*g**3)*(3*g**2 - g**2 + 0*g**2).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 113594 and 884?\nAnswer: 227188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84155?\nAnswer: 5, 16831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 180626 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24)\/56*6*280\/(-12)*-1?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 783441, 1566851, 2350231, 3133581, 3916901, 4700191?\n\"Answer: -15*z**2 + 783455*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: What is -7 + ((-3)\/5*5)\/((-6)\/32)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that 2*s**3\/5 - 448*s**2\/5 + 28288*s\/5 - 346112\/5 = 0.\nAnswer: 16, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -225*u**3 - u + 2*u - 6*u + 3*u in the form s*u + g*u**2 + f*u**3 + d and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -22716 divided by 5679\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117)*-2*4 + -2*sqrt(117)*1)\/(sqrt(1296) + (sqrt(1296) + sqrt(1296) + (-1*sqrt(1296) - sqrt(1296)))*6).\nAnswer: -5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2487.05588 - 0.05588. Let m = -2549.085 + p. Let w = m + 0.185. Round w to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 136*h + 8506. Determine m(-63).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = 4*s + t + 296, s + 5*t = -40. Let a be ((-2)\/(-5))\/(72\/s). Which is greater: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3702 - -2832. List the prime factors of w.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w + w + 15. Suppose -19 = -3*o - 2*o + 3*g, w*o = -2*g + 4. Suppose s = -o*q - 2*s + 87, -46 = -q - s. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the first derivative of s**3\/3 - 10*s - 2730. Let j(x) = 40*x - 1. Calculate a(j(b)).\nAnswer: 1600*b**2 - 80*b - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 466730 (base 9) in base 16?\nAnswer: 447d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (23\/(4485\/(-507)))\/((-2)\/(-10))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -271*i - 1. Let b(f) = -5023*f + 10049*f - 5024*f. Calculate h(b(c)).\nAnswer: -542*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 13*f - 23. Let x(b) be the first derivative of -3 + 8\/3*b**3 + 0*b + 0*b**2 + f*b**6 + 8*b**4 + 42\/5*b**5. Factor x(g).\nAnswer: 2*g**2*(g + 1)*(3*g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 15, s: 2, w: 3}. What is prob of sequence ttw?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0118*-9.6151.\nAnswer: 0.11345818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.2 * 10.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14 + -7. Let q(o) = -o**2 + 8*o - 4. Let v be q(k). Let j be -1*v\/2*-2. Sort j, 1, -3.\nAnswer: -3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-4)\/18)\/((-680)\/32130))\/(54\/(6\/(-2)))?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1708*i + 1680*i = -140. Solve -2*u = -6*q + 3*q - 3, 0 = -4*u + 5*q + i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 2*s + 8. Let d(v) = v - 1. Suppose 0 = -2*k - 0*k + 2. Let w(p) = k*j(p) - d(p). Let x be w(-6). Put -0.02, x, -5 in descending order.\nAnswer: x, -0.02, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14 - 44. Let j = -51 - q. Suppose 3*k - j*k = -344. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 150517 - 150512. Let w(a) = 3*a - 6. Suppose -3*f - 8 = -f. Let y(k) = 2*k - 6 + 2 - 1. What is f*w(v) + j*y(v)?\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 2030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -24.14 - -24.0643. Let l = 5.92 + -6. Let v = w - l. Round v to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.47, -2\/9, 6, -105 in ascending order.\nAnswer: -105, -1.47, -2\/9, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9568 and 312.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1870369883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, l: 8, x: 1}. Give prob of sequence xe.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7189632241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 760047 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 - 11 = -8*b. Is b not equal to 2\/185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -558*d - 762?\nAnswer: -558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -6513610 (base 8) to base 16\nAnswer: -1a9788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -2*w + 12*w + 13*w - w. Let h(s) = 30*s - 30*s - 2*s**2. Give f(h(a)).\nAnswer: -44*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5\/4, -9, 7\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 r when two letters picked without replacement from {j: 2, r: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -388*b - 2693. Let g be i(-7). Suppose -4*z + 10 = z. Find the second derivative of 13*d + 3*d**z - g*d + 16*d**2 wrt d.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the second derivative of v**4\/12 + v**3\/2 - v. Is 5 a factor of g(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -370 - -382. Let o = 35 - 24. Suppose o*j - z*j + 791 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9544, 19332, 29118, 38902?\nAnswer: 48684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6341\/15666*80\/1020?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 31488206, 31488213, 31488220, 31488227, 31488234?\n\"Answer: 7*n + 31488199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -19883881 divided by -4?\nAnswer: 19883881\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -461*j**2 + 461*j**2 + 42*j**3 + (81*j + 461*j + 138*j)*(0*j**2 - j**2 + 2*j**2) to the form x*j**2 + f*j + t*j**3 + h and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5114 - -25583\/5. What is i in -4\/5*i + 16\/5*i**2 + 3\/5*i**4 - y*i**3 + 0 = 0?\nAnswer: 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*v**3 - 318*v**2 + 318*v**2.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 - -1) + (-6)\/(-2). Let x(r) = r**2 - 2*r - 2. Let a be x(g). Suppose -a*d + 4*d + 4*f + 18 = 0, 2*f + 85 = 5*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5242943, 5242943, 5242941, 5242937, 5242931, 5242923, 5242913?\nAnswer: 5242901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.045 times 62.3\nAnswer: 2.8035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 38.8422 micrograms in kilograms?\nAnswer: 0.0000000388422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 12948 - 4025. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 24 + 2*w**2 - 24. Let h(a) = 2*a**2 + 3*a + 3. Let s(g) = 6*g**2 + 8*g + 8. Let i(f) = 8*h(f) - 3*s(f). Determine i(t(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 1 + 7)*(4*z**2 + 37907*z + 2 - 37907*z) to r + k*z**2 + q*z and give k.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 3*q + 54 = -3*p, 2*q + 72 = -4*p. Let o = 29 + p. What is the highest common factor of o and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-15)\/90)\/((-1)\/(-8)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 70.08285mg in micrograms?\nAnswer: 70082.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2122 (base 5) to base 8.\nAnswer: -437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 88*l**2 + 2 - 2 - 43*l**2 - 44*l**2. Let q(a) = 3*a**2 + 2*a**2 + 0*a**2 + 0*a**2. Determine n(q(z)).\nAnswer: 25*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p - 3*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 5 = 3*k, -5*k + k = -i + 16. Let d = -14 - -29. Let v = -14 + d. What is the closest to v in k, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nrzyqzzrrmnyn. What is prob of picking 1 y and 2 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 793 or 797?\nAnswer: 793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 8245685537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s + 2*g = 30, -3*g = s + 10 - 25 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 - 4dc5b7?\nAnswer: -4dc5b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = 2*t - 1 - 13, -18 = -4*j - 2*t. Let p be 45\/18*(3 - 1). Let i be (-1 + -19)*2\/(-5). Solve 2*s - i = -j*r, -4 = -s + p*s - r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:14 AM and 4:35 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 73 - ((-25317)\/1067 + (-9)\/33).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -72756672 at most -72756664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 18456840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.258 - 110.258. Let t = -109.7 - x. What is the second biggest value in 145, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3456)*-3)\/(sqrt(972)*-3).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -24\/433?  (a) 1\/8  (b) -0.317  (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes before 10:37 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 4*l**3 + 6*l**2 + 15*l - 9. Let r(a) = a**3 + a - 1. Let n(w) = -j(w) + 5*r(w). Calculate n(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -296*a - 288*a - 16689 - 39375 = 0 for a.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -14 divided by -9\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 32, 3\/5, -5\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(-1\/4))**21\/(g\/(((g\/((g*g*g\/g**(-5)*g)\/g))\/g)\/g)*g*g**(-1\/9)))**(-16\/3) assuming g is positive.\nAnswer: g**(-700\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 3867*c + 47. Let j(v) = -7732*v - 86. Calculate -6*j(h) - 11*s(h).\nAnswer: 3855*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**3 - 4*k**2 + 9*k - 18. Calculate the smallest common multiple of q(5) and 14.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide (255\/(-2))\/((-233)\/47532)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -193\/2220 and 41\/4090?\nAnswer: 907980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 17992 and 6?\nAnswer: 53976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3206 and 63?\nAnswer: 28854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*z**2 + 332*z + 2*z**2 + 2*z**4 - 330*z + (-2*z**3 + 3*z**3 - 3*z**3)*(-6*z + 0*z + 13*z).\nAnswer: -12*z**4 + 10*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -122 + 11000?\nAnswer: 10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(684) + -4)*-3.\nAnswer: -90*sqrt(19) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -32*c**2 + 3*c**3 + 32*c**2 + 2 as s*c + b + z*c**2 + a*c**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1000 - -1201?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 - -5) + (27 + 1 - (53 - 41 - 1)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:58 PM and 4:51 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 656*213452.\nAnswer: 140024512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 4 + 5)*(8 + 8 - 13)*(-m + m + m)*(-4 + 1 + 2 + (-3 + 4 + 3)*(0 + 0 - 3)).\nAnswer: 78*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/(-1) + 150\/(0 + 2). What is the greatest common factor of 18 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(5\/2)*d*d**(-6\/11)*(d\/d**1)**(-38))**(-29) assuming d is positive.\nAnswer: d**(-1885\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 24037951?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -11*t - 12. Is 11 a factor of s(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2588168941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -8984*x - 89834. Calculate z(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**2 + 4*d + 7. Suppose 2*g - 20 = -2*g. Let o be t(g). Solve s = m + 5*s - 21, -7 = 3*m - o*s for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/((f\/(f*f\/(f\/f**(-7)*f)))\/f)*((f*f*f*f**(1\/8)*f)\/f)\/f*f*((f**(1\/4)\/f)\/f)**14)**(-17) assuming f is positive.\nAnswer: f**(3723\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 180 and 3340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.2 - 1.9. Let v = 37770 + -37770.1. Which is the biggest value?  (a) 4  (b) -4  (c) v  (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67*l**2 + 96*l - 96*l + 51*l**2 + 3*l**3.\nAnswer: 3*l**3 - 16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 416189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in twenty-one halves of a meter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 4*r = 3, -5*r = -2*l + 1729. Suppose 0 = 2*f - l - 230. List the prime factors of f.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 214, -42, -468, -1064, -1830, -2766?\n\"Answer: -85*r**2 - r + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -325082.667 rounded to the nearest 100?\nAnswer: -325100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/30)\/((-25)\/(-50))*-3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x**2 + 3*x**2 - 2*x**2)*(0*x + 16 - 30 + 2*x) + (0*x - x - x)*(6*x - 2*x**2 - 6*x) - 5*x + 2*x**3 + 2*x + 7*x.\nAnswer: 10*x**3 - 28*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1  (b) -0.5  (c) -2\/15  (d) 0.1  (e) 1  (f) -296\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1193, -4812, -10857, -19328, -30225, -43548?\nAnswer: -59297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 4, g: 4, x: 2, u: 4, i: 6}. What is prob of sequence giix?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = 2*q - 50. Suppose 0 = -6*m + 28 - q. Suppose 4*n - 197 = -m*d, -2*n + 2*d - 255 = -7*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15 + 8. Let f be 30\/(-7) + 2\/7. Let w = f - n. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*b*n*s*t**2 + b*n*s + b*n*t + 4*n*s + 8*n*t**2 with respect to b.\nAnswer: -5*n*s*t**2 + n*s + n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 139386, 139384, 139382, 139380?\n\"Answer: -2*b + 139388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -23465*h**4 - 93*h**3*m + h**2*m - 5356292*m wrt h.\nAnswer: -563160*h - 558*m","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 0\/(2 - 1) + (8 - -25) and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 64, 0, 4, 9, -4, 68 in ascending order.\nAnswer: -4, -1, 0, 4, 9, 64, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -19 (base 10) to base 13.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22468*u**3 + 22496*u**3 - 44966*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 1. Let u(l) = -8*l - 5. Let y(o) = 5*a(o) - u(o). Let w be y(8). Suppose 0 = -f + 3*f - w. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 14140004\/(-20) - (-6)\/30. Round f to the nearest ten thousand.\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*(g*g**(3\/4))\/g*g)\/g)\/((g*g*g**(2\/13)\/g)\/g)*(g**0)**8)\/(((g**0*g*g)\/((g\/g**(-1\/3))\/g))\/((g\/((g**(-1)\/g)\/g*g))\/g)**4) assuming g is positive.\nAnswer: g**(1237\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 315214*c**2 - 152*c + 376?\nAnswer: 630428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1098 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-39)\/(-65) - 362\/(-5) is divided by (50\/(-8))\/((-3)\/12)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 72, 280, 626, 1110?\n\"Answer: 69*b**2 + b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -185*j**2 - 24*j - 93. Let l(i) = -555*i**2 - 68*i - 280. Let f(s) = -6*l(s) + 17*x(s). Find the first derivative of f(b) wrt b.\nAnswer: 370*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -3*u**2 - u + 1. Give j(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 951745200 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/2  (b) -26  (c) 2\/5  (d) 7  (e) -0.5  (f) -0.062  (g) -17\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 10902276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, -406, -43?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**2 - 11*s - 13. Calculate the remainder when -4 + 4\/((-4)\/(-23)) is divided by d(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l + 15. Determine o(33).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2011 + -1532?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1261\/(-52))\/((-2)\/(-8)). Let g = i + 117. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-6*(-5 + 0 + sqrt(242) - sqrt(242)) + (sqrt(10) + (5*sqrt(20)\/sqrt(2) - sqrt(10)))\/(sqrt(625)\/sqrt(5)))**2.\nAnswer: 240*sqrt(2) + 14402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -276*y + 242*y - 204 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 3*d + 34. Let p be l(-10). What is the derivative of 9*f**4 + 12*f**p - 24 - 15*f**4 wrt f?\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f**2 + 14822994*f - 54930287781009 = 0. Calculate f.\nAnswer: 7411497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.1 and 5023.\nAnswer: 5023.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 3971837*o**3 + 3*o**2 + 2*o - 7. Let t be u(-3). Let d = t + 170539585. What is d rounded to the nearest one million?\nAnswer: 63000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.97 - 0.03. Suppose w = 4*w. Suppose -g + w*g = 0. Which is the closest to -2\/3?  (a) u  (b) g  (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 82258762 is divided by 6737.\nAnswer: 6729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 + (-6)\/(-8))*20. Let x be (h\/10 + 2)*86. Let b = -39 - x. Solve -b = -r - r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 135 + -123.2. Let w = i - 11. Let n = w - 1. What is the nearest to 1 in -1\/9, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u - 0*u + 1996. Calculate the remainder when u is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -688*k**2 + 5*k + 4599*k**2 - 1464*k**2 - 5*k.\nAnswer: 2447*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 190029, 189106, 188183, 187260, 186337?\nAnswer: 185414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/4*3*(-136 - 0). Let t = z - 99. Solve -t*v = 4*m - 31, 4*m - 2*v + 3*v = 21 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -89*u - 269 - 61 = 204 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -165062432 - -11?\nAnswer: -165062421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/373, 3\/2, 4\/9, 1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 2167000 to the nearest 100000.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14.85 - -15. Let f = w - 0.150005. What is f rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -3, 0.5, 255088, 3, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -32 or -37?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 48478 and 5?\nAnswer: 242390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 95 is divided by 23.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -3, 3, -4, 4, 744 in decreasing order.\nAnswer: 744, 5, 4, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v**2. Let s(g) = -41*g**2 + 2879*g. Let f(q) = 18*q**2 - 1439*q. Let z(u) = 9*f(u) + 4*s(u). Give z(j(d)).\nAnswer: -2*d**4 - 1435*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/3 + 6 + (-3)\/1. Let z be 30\/(-18) + 4 + 1. Factor z*d**2 + 0 + m*d**3 + 4\/3*d + 2\/3*d**4.\nAnswer: 2*d*(d + 1)**2*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**3 - 17*v**2 + 22*v - 11. Let w = -10 - -26. Does 10 divide b(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 + 918*d - 8 + 531*d**2 + 910*d - 1826*d.\nAnswer: 531*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f - 1 + f - 8*f + 3*f**2 - 2*f**2. Let x(g) = -6*g - 1. Let b be x(-2). Let q be u(b). What is the greatest common factor of q and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1353 - -10821\/8. What is the nearest to -4 in -0.3, 2\/11, -2\/7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*o + 7 = -3*u + 60*o, 0 = 5*u - 5*o + 20 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 24348614557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 95 and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 110, 208, 280, 314, 298?\n\"Answer: -2*u**3 - u**2 + 115*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -49*m**3 - 1232*m**2 - 701\/4*m - 25\/4 = 0.\nAnswer: -25, -1\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - (5 + -8 + -12 + 1)) + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -29*x + 868. Calculate o(31).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -0*h + 812. Let y = h + -168. Calculate the least common multiple of y and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the third derivative of 0*v + 1\/20*v**6 + 0 + 0*v**5 - 11\/6*v**3 - 8*v**2 + 0*v**4. What is the first derivative of d(b) wrt b?\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 221 - 32. Let i = t + -108. Let v be 2\/4 - i\/(-6). Calculate the greatest common factor of 98 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**3 - 7*h**2 + 4*h - 3. Calculate c(-8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) -2\/9  (c) -0.5  (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 8, 15, 20, 23?\n\"Answer: -k**2 + 10*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/20 and 107\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 1 = 2*d, -4*d = -0*p - 4*p + 8. Let v(q) = 2*q + 8. Let i be v(-5). Let o = i + p. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 12 = 4*d, -n + 0 = -3*d - 3. Solve 11 = n*c - 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*l**2 + l**2 - 3*l**2 - 2*l**2 + 3*l - 3*l + (-5 - 2*l + 5)*(-4*l - 3*l + 4*l) + 5*l**2 - 3*l**2 - l**2.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15 + -15. Solve -3*v - s + 17 = x, 2*s = -5*v - 3*s + 45 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 68*w - 1829. What are the prime factors of t(93)?\nAnswer: 5, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.024 and 0.011227.\nAnswer: 0.011496448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 22 - 16. Suppose -5*r + 7*r = o. Suppose -3*f = -3*v - 33, 57 = 5*f - 2*f + r*v. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -9*f + 145. Let t be s(16). What are the prime factors of (15\/(-25))\/(t\/130*-2)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -67400.606 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1, -1.05, 11, 5.\nAnswer: -5, -1.05, 1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*2*(1*sqrt(108) + 1).\nAnswer: -48*sqrt(3) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -26.77 take away 1476?\nAnswer: -1502.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -7*p - 8. Suppose -3*z + 55 + 56 = 0. Let d = -41 + z. Calculate the remainder when g(d) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4486.92 minutes to milliseconds.\nAnswer: 269215200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40528?\nAnswer: 2, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (72\/14)\/((-156)\/(-560) - (-141)\/940)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/((8\/6)\/(160\/120))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 11386.8 from -0.44.\nAnswer: -11387.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the second derivative of -s**5\/130 + 2*s**4\/39 + s**3\/39 - 4*s**2\/13 - 9*s. Suppose q(a) = 0. Calculate a.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 252207186 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 651735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -36, 32, 17.51 in descending order.\nAnswer: 32, 17.51, 5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 16*v**2 - 24*v**2 + 10*v**2. Let z(d) = -2*d - 19 + 8 + 11. Determine j(z(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from oijbeoxioiibbo.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.021096819 rounded to 5 decimal places?\nAnswer: 0.0211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.258 + -0.258. Which is the third biggest value?  (a) m  (b) 112  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15569*x - 264 = -15547*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.07579 + -0.92421. Sort 9, -61, f.\nAnswer: -61, f, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*o + 4*g + 12 = -3*o, -2*o - g - 3 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the third derivative of -o**4\/3 - o**3\/3 + 4*o**2. Let i be y(-3). Let u = i - -36. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-24)\/(-10))\/(-4 - 22\/(-5)). Suppose 2*d - 118 = 2*w, -3*d + v*d - 182 = 2*w. Let n = d - 61. Round n to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1630*b**3*c**3 - 957*b**2 - 2*b*c**3 wrt b.\nAnswer: -9780*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 3452034, 6904096, 10356160, 13808226, 17260294?\n\"Answer: o**2 + 3452059*o - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 11, e: 3, w: 1}. What is prob of picking 1 g and 1 w?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 55\/27 and 14\/2739?\nAnswer: 24651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 - 3*y**3 + 2 + ((-2 - 3 + 3)*(-4 + 0 + 5) + 0 + 9 + 2)*(-y**3 + y**3 - y**3).\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/12 - -11*(-4)\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 9543 = -t + 824, 4*t - 4346 = -2*i. Suppose 691 = q - 735. Let a = i - q. Is a 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 vcv. What is prob of sequence vcv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -30288, -4 in increasing order.\nAnswer: -30288, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3*((-4)\/(-18) - 88\/(-9)). Solve -4*i**2 - o - 35*i - 2*i**2 + 3*i**2 - 2*i**2 = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 2*u**2 - 685032*u + 58658605128 = 0?\nAnswer: 171258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**3 - 10*d**2 + 8*d - 30. Determine u(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72*y = 4*m - 70*y - 10, -m + 15 = 3*y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0\/(4*(-6)\/(-12)). Suppose -33*m + 27*m + 36 = j. Suppose 4*t = 45 + 3. Solve -m*z + z - 9 = 2*d, -d = -3*z - t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 138 and 12.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1636 = -107*s + 9928 - 2255 for s.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 625297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 9419*q + 11039057. What is w(-1172)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10020221 - -102?\nAnswer: -10020112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 2\/9  (b) -0.2  (c) -0.3  (d) -27\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -27 or -821\/30?\nAnswer: -821\/30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -7163 divided by 18877\nAnswer: -7163\/18877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 100 (base 4) to base 14\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 119, 3, 1, 776, -4 in descending order.\nAnswer: 776, 119, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*x**2 + 3*x**2 - 122*x**3.\nAnswer: -122*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1011\/99 + 6210\/3795*1\/(-3)?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -17824, -18, 5 in descending order.\nAnswer: 5, -18, -17824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t - 15 = 2*c, -3*c - 11*t + 6*t + 25 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**2 - 4*v - 1. Let c be r(5). Suppose -c*w = w - 15. Solve o + 4 = -3*h - w, 5*h - 4*o = -40 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 15\/836248 and 19\/872?\nAnswer: 836248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-110)\/(-15) + -8 + (-12518)\/(-3). What is the units digit of 308\/693 - i\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 143002252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 59417631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r = -w + 5, -3*w - 21 = 3*r - 24 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0517 * 0.265.\nAnswer: 0.0137005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3735 divided by -249.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 588348 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (41 - 72 + 32 - 13*p + 3*p**2)*(-3 + 6 - 1)*(-7*p**2 + 3*p**2 - 23*p**2) as y + n*p**2 + u*p**4 + c*p + f*p**3 and give u.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/24 of a day in seconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -37 + 41. Let t(l) = -3*l**2 - 4*l + 9. Let m be t(y). Let p = m + 71. Calculate the highest common factor of p and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(650)*1)\/(sqrt(198)\/sqrt(11) - sqrt(2)).\nAnswer: 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -143*c = -151*c + 11200. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8149 - -8782. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = 5*q - 30, f - 3*q = -0*f - 10. Suppose 40*p + 119 = -1. Which is the second biggest value?  (a) p  (b) f  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2, 0.4, 1, 2\/46665, -1, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 4*i + 81. Let r(k) = -597*k - 7774. Let a be r(-13). What is o(a)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 803840 divided by 10.\nAnswer: 80384","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the third derivative of w**6\/780 + 2*w**5\/195 + 5*w**4\/156 + 2*w**3\/39 - 5*w**2. Factor k(d).\nAnswer: 2*(d + 1)**2*(d + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/2 + 3\/(36\/42). Suppose 0*q = j*q - 2*q. Is -1\/16 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j + 4. Let w = -2 - -5. What is h(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 767458569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2118  (b) 1\/4  (c) -5  (d) 0.5  (e) 13  (f) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 39759177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (24*s**2 - 284*s**2 - 221*s**2)*(0*s**3 + 2*s**3 - 3*s**3) + (3 - 3 + 2*s**2)*(2 + 0 - 1)*(0*s**3 - 6*s**3 + 5*s**3).\nAnswer: 479*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Let u = 175 - -1093. List the prime factors of u.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -6*a. Let l(u) = 2*u**2 - 11*u**2 + 7*u**2 + 6*u**2. Determine q(l(y)).\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 349 and 386?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the first derivative of 3*j - 1\/3*j**2 + 0*j**3 + 1\/18*j**4 + 3. Let u(t) be the first derivative of v(t). Factor u(z).\nAnswer: 2*(z - 1)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 0 + 1 + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 984650\/(-940)*(-116)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3060*i**3 + 6958*i**3 - 4434*i**3.\nAnswer: -536*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/(-7) - 136611\/(-21). Let q = t + -143155\/22. What is the common denominator of -75\/22 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 14668 - 11679. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 78821792?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 75, 173, 411, 849, 1547, 2565, 3963?\nAnswer: 5801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 9 + (-11 - -1) + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 180444 and 2244?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 22 = 3*q, -4*q = 4*f + 6 - 102. Let u = 124 - 99. Calculate the highest common factor of f and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 12*b**4 + 16*b**3 - 24*b**2 - 6*b. Let p(s) = 27*s**3 + 20*s**3 + 7*s - 24*s + 15*s**4 - 72*s**2 + 20*s**4. Let f(o) = -2*p(o) + 7*w(o). Factor f(t).\nAnswer: 2*t*(t - 1)*(t + 2)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11394 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1619.2 - 1619. Which is the nearest to -3?  (a) 2  (b) -0.3  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -539, -3, 4, 515 in descending order.\nAnswer: 515, 4, -3, -539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/2, 3, 0.05, 2\/7, 0.8 in decreasing order.\nAnswer: 3, 3\/2, 0.8, 2\/7, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 25, -12, 3, -3, -5 in decreasing order.\nAnswer: 25, 3, -3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z - 4*o + 1715, -19*o = 3*z - 14*o - 1711. Let g = -576 + z. Let t be (-7)\/12 - 1\/(-4). What is the third smallest value in -0.3, t, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -8) + -5 + 24 + -25 - 33?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 908.2754 weeks in nanoseconds?\nAnswer: 549324961920000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 10110000101001100 (base 2) to base 13\nAnswer: 32223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 24223937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -89, -99, -97, -77, -33, 41, 151?\n\"Answer: r**3 - 17*r - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.25 - -2.24999155. What is g rounded to 7 dps?\nAnswer: -0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 624810899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the third derivative of 31*a**5\/60 + a**4\/4 + a**3\/2 + 4943*a**2. Give f(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8488*q - 87425 - 611369 - 21219 = 52395 for q.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**(-10)*a**(2\/15))\/(a**(-15)\/(a\/(a*((a*a**19)\/a)\/a*a))))**(-1\/53) assuming a is positive.\nAnswer: a**(193\/795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 1315*(-3)\/((-10 - -5) + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-45 + 45 - 61*a)*(0*a**3 + 2*a**3 - a**3) - 4*a**4 + 2*a**3 - 2*a**3 - 5*a**4.\nAnswer: -70*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**3 - o**2 + 246. Let h be u(0). Suppose -4 = -4*f, 4*p - 3*f = -5*f + h. Calculate the remainder when p is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**3 + 7*u**2 + 5*u - 1. Let n be h(-4). Suppose 4*m - a = 248, -2*a = m - 7*a - 62. What is the highest common divisor of n and m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 3*x**2. Let w(f) = 127*f + 75*f - 133*f. Determine w(p(o)).\nAnswer: 207*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 660106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.9 - 207.494?\nAnswer: -212.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5*663138.\nAnswer: 331569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1127 is divided by 195.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = 3*w + m, -2*w + 15 = -5*m + 47. Let y = -12 - w. Let p = 3 - y. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -11 - -13230003142?\nAnswer: 13230003131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -98508.195559 + 92666.89232. Let u = 5973.3033 + z. Let g = 132 - u. Round g to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 52*u + 49*u + 2278804 = 0, -4*k + 3*u + 2278828 = 0. Let j be k\/(-51) - (-2)\/3. Round j to the nearest 100.\nAnswer: -11200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k + 2*k + 0*k)*(-462 + 462 + 75*k).\nAnswer: 225*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -237\/17?  (a) -5  (b) 1  (c) 5  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2344210302 + -5?\nAnswer: 2344210253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2288)\/(-624) + 202\/(-24) + 33\/(-22)?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.05288 and -68.\nAnswer: -67.94712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -649\/7 + 93. Solve -2\/7*v**4 + 0 + j*v + 2\/7*v**2 - 2\/7*v**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1210122 + -220112112?\nAnswer: -211201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**4\/f*f)**(26\/7) assuming f is positive.\nAnswer: f**(104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the second derivative of -2*z + 0*z**2 + 0*z**3 - 10 - 1\/6*z**4. Let r(y) = 1 - 1 + 45*y**2. Give r(v(a)).\nAnswer: 180*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 21\/238418 and 23\/559764.\nAnswer: 12874572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 143.81274 months?\nAnswer: 11.984395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -43b4 - 1?\nAnswer: -43b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 70.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -492, 1, -21, 3.\nAnswer: -492, -21, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 10 = -3*x - o, 0 = x - 3*o + 10. Suppose -2*g - 2*a - 24 = 0, -x*g = 3*a + a + 16. Let i = -14 - g. Solve 6*r + 12 = i*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**3 - 10*g**2 - 9*g - 11. Let o be u(11). Calculate the greatest common divisor of o and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7941448 times 4\nAnswer: 31765792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 24374659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = s - 5. Let c = 3 - s. Let d be 3 + 6*27\/2. Calculate the highest common divisor of d and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(6\/(-16)*8\/2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4692212.\nAnswer: 2, 7, 113, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 53?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 240.02 + -238. Let j = -0.02 + o. Let w = -397\/5 - -80. Which is the biggest value?  (a) w  (b) -0.1  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/612750 and 79\/177375.\nAnswer: 6740250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**3\/7 + 6904*p**2 - 12393276*p + 6065041248.\nAnswer: -4*(p - 10024)*(p - 1029)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, l: 1, b: 6, e: 1, v: 1, m: 1}. What is prob of picking 1 m and 1 b?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-2\/5)\/(d*d\/(d\/(d**(-1\/8)\/d))))**(-2\/7)*((d\/(d\/(d*d*(d\/d**0)\/d)))**(-2\/55))**(-1\/20) assuming d is positive.\nAnswer: d**(633\/7700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -3457, -6910, -10373, -13852, -17353, -20882, -24445?\n\"Answer: -y**3 + y**2 - 3449*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -4\/3*w**2 - 2\/9*w**3 - 22\/9*w - 4\/3 = 0. What is w?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2\/5  (b) 6  (c) 0.5  (d) 2679  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80*w = -907 + 1947 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -3*s + 3. Let n(g) = g**2 + 3*g + 3. Let u be n(-2). Let c be q(u). Suppose -2\/5*p**3 + c + 2\/5*p**4 - 2\/5*p**2 + 2\/5*p = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 i when two letters picked without replacement from hzbibhzbbooobbbbhho.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the first derivative of -v**2\/2 + 3*v + 43. Suppose -5*l = u - 2*u, -5*u + 4*l = -21. Suppose -5 = -u*y - 40. What is t(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 6 and 23484\/3683 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.045434l in millilitres?\nAnswer: 9045.434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v**2\/5 - 56*v\/5 = 0. Calculate v.\nAnswer: 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*b**2*c - b**2 - 6*b*c - 12*c - 8 wrt b?\nAnswer: 6*b*c - 2*b - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 5\/2, 1519, 1086, 0.1 in descending order.\nAnswer: 1519, 1086, 5\/2, 0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1*(-795)\/(-3))\/((-710)\/25844*-91).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10494 and 3762.\nAnswer: 199386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 122021120 (base 4) to base 5.\nAnswer: 11411341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*j - 335 + 321 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*r - 82*r + 185*r + 149*r.\nAnswer: 226*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 7, z: 1, u: 4, k: 2, p: 2}. What is prob of picking 2 p, 1 u, and 1 k?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -37492, 2\/7, 0.45, -2?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -156.6, -236, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 7*a + 49. Let b be s(-7). Suppose b = -12*m + 7*m + 185. List the prime factors of m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5552 is divided by 5493?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 291*h - 183264 = -3319*h - 17099 + 25165 for h.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -41 - -29. Let i = p - -21. Suppose 6*b - i = 9. What is the highest common divisor of b and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -977, -892, -651, -176, 611, 1788?\n\"Answer: 13*b**3 - 6*b - 984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17280496, -17280514, -17280540, -17280574, -17280616?\nAnswer: -17280666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 27, 32, 59, 120, 227, 392, 627?\nAnswer: 944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7.89 + -7.39. Which is the second smallest value?  (a) 11  (b) -0.2  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 140509 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.3 and -2172.\nAnswer: 651.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (6\/15)\/(8\/80). Is m at most as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 4*s + 34 = -2*c, -3*s + 59 = 5*c. Suppose 2354 + 1696 = s*u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*w = 16*w + 114. Solve 0 = 5*b + 4*d - 2 + 14, 0 = -4*b - 2*d - w for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9958556ml in litres?\nAnswer: 0.0009958556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -124, 231, 1122, 2819, 5592, 9711?\nAnswer: 15446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -4*b + 3. Let x(g) = g + 1. Calculate -p(q) + 5*x(q).\nAnswer: 9*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 8777473*n - 108. Let m = 441 - 445. Let l be z(m). What is l rounded to the nearest 1000000?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9 - -2. Let n(f) = -f**2 - 8*f + 8. What are the prime factors of n(x)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 216598?\nAnswer: 2, 37, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 g when two letters picked without replacement from {e: 1, a: 1, g: 2, s: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -19, -60, -109, -160, -207?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the third derivative of -y**4\/6 + 5*y**3\/2 - 15*y**2. Let b(o) = 2*o - 38 + 13 + 18. Give -13*b(k) - 6*f(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/10)\/((-352)\/1320).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 3*w + 25. What is g(-13)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1\/(-10)*-5 - (-955)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.0358  (b) 1\/3  (c) -1  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -57 - -74. Suppose -k - j + 19 = 0. Find the third derivative of 8*a**4 + a**2 + 6*a**4 - k*a**4 wrt a.\nAnswer: 288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1100111 (base 2) in base 10?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62*s = -308*s - 3700 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1056777145 - 5?\nAnswer: -1056777151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.05 in -3456, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/15320 and 73\/3064?\nAnswer: 15320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(7) + 1*sqrt(63) + (-5*sqrt(7)*-2)**2.\nAnswer: 4*sqrt(7) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -3*o - 2*o + 7, -3*c = o - 9. Let a(q) = 2*q**2 + 2*q + 5*q + 5*q**c - 4*q. Let n be a(-2). Round n to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 33 - 35. Which is the second smallest value?  (a) 2  (b) i  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 10?  (a) 5  (b) -40  (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.8 + 19.8. Let h = 18.5 - l. Suppose 0 = 3*j + 1 + 2. Which is the closest to -2\/3?  (a) j  (b) 3\/7  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -12)\/(-12) - ((-3)\/(-2))\/(-1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1033\/92  (b) -4  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(1\/4))**(4\/15)\/(m\/(m\/m**(2\/5)))**(-43) assuming m is positive.\nAnswer: m**(263\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-17)\/(3 + (-48)\/15 + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 52, -3, -1, -6.\nAnswer: -6, -3, -1, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -178 + 1600\/9. Let r = -1\/3 - 0. What is the nearest to 1\/3 in 3, r, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1610\/273)\/5 + (-6)\/(-39)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*k - 2*k - 218125*k**2 + 8*k.\nAnswer: -218125*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -234.6 rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*f**2 + f**2 + 3*f**2)*(-865*f - 3428 + 3428)*(-21*f - 73 + 73).\nAnswer: -36330*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u + 8*u. Suppose 0*d - 3*d + 9 = u. Suppose 2*v = -5*w + v + 33, -2*w - d = -5*v. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-190)\/(-350) - 4\/10?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 13 = -5. Let y = f + 6. Solve 3*m = -4*g - 16, 0 = 3*g - y*g + m + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 67396 and 1162?\nAnswer: 67396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 143351 = 19*q - 16*q - 5*j, -3*q + 143327 = j. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 119*r**2 - 4 + 133*r**2 + 122*r**2 - 61*r**2 - 6*r**2 to a*r**2 + u*r + q and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -292, -298, -304?\nAnswer: -310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve z + 0*z - 16 = -4*q, -z = 3*q - 11 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 15, o: 4}. What is prob of sequence oroo?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.1876 - -0.3876. What is the second biggest value in 3, 4, v, -1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the first derivative of t**6\/15 + 4*t**5\/25 - 4*t**3\/15 - t**2\/5 - 9. Find l such that j(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 4*x**2 + 0*x - x**3 + 2 + 2 - 5*x + x**2. Let h be n(4). What is s in 0 + h*s + 2\/7*s**3 - 2\/7*s**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2.03?  (a) -4  (b) 4\/7  (c) -0.5  (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + 3 + -29 + 18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -29*g**2*s**4 - 5*g**2*s**3 + 9*g**2*s - 2*s + 1 wrt s?\nAnswer: -348*g**2*s**2 - 30*g**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-16)\/(-76)*(-13)\/26. Which is bigger: 52 or t?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 288 = 2*r + 4*v, 0 = 4*r - 5*r + 4*v + 150. Suppose 5*l + 5*y + 56 = r, 8 = 2*y. Suppose -16 = -2*j + l. What is the greatest common factor of j and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r*r**(8\/7)*r)*r)\/(r**0\/r*r))\/(r**(-3\/2)*(((r\/(r*(r\/(r\/(r**15*r)))\/r))\/r)\/r)\/r) assuming r is positive.\nAnswer: r**(257\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(76)\/(-4*sqrt(2)))\/(sqrt(20)\/(sqrt(110)\/sqrt(11))))**2.\nAnswer: -57\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1429535 is divided by 178686?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (3 + 2 - 5) - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -89*a. Let n(h) = 6*h. Calculate i(n(w)).\nAnswer: -534*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 146 = 4*h + 54, -52 = -2*h - 2*n. Let q be 2\/3 - ((-448)\/h)\/(-7). Let z = -9 + 13. Which is the third smallest value?  (a) z  (b) 0.2  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (140 - 407 + 140)*(-h - 4*h + 2*h) to the form c + i*h and give i.\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 12*c**3 + 2. Let w(a) = 23*a**3 + 3. Give -5*o(y) + 3*w(y).\nAnswer: 9*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 6\/5 of a hour?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*l*r*x**2 - 2*l*r*x + 8042*l - 12*r*x + 13*r - 10*x**2 - 23 wrt l?\nAnswer: 2*r*x**2 - 2*r*x + 8042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1375887, 1375911, 1375941, 1375983, 1376043, 1376127, 1376241, 1376391?\nAnswer: 1376583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/((-35)\/(-4)) - (-22)\/55.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -2*n**3 + 37*n**2 + 19*n - 2. Let b be k(19). Let i be b + 2 + 0\/(-4). Suppose 3*q + 4*p = 759, 4*q + 2*p - 446 - 566 = i. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-23)\/2)\/((-14)\/(-8)*(-170)\/(-595))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*g - 2*g + 5*g)*(-911*g - 66*g - 77*g + 2) as c*g + d + t*g**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-6)\/(-4))\/(133\/114*36\/1400). What is the highest common factor of p and 470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 38 + -8 + -37 + (1 - 32) - -14\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10302295687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2339454767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -47 - 167. What is the remainder when l is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.06*-0.4.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:56 AM and 12:48 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the second derivative of 7*h**3\/6 + 28*h**2 + 16*h. Let v be u(-5). Let c = 90 - 76. Solve -3*p = b - c, 5*p + 2*b - v - 4 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24 and 14316.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**2 - 7*y - 4. Let w be h(-7). Let x be ((-6)\/5)\/(w\/(-10)). Let o be -1 - 12\/(-15) - 0. Which is the smallest value?  (a) o  (b) -5  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 68 and 462230663?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -571321, -571386, -571451, -571516, -571581?\nAnswer: -571646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyqqqyixyyyqqwqqqqyq. What is prob of picking 1 y and 1 x?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**3 + 3*w**2 + 9*w + 8. Let m be i(5). Suppose -3*a - 3*t = -5*t + 2, -m = -4*a - 3*t. Solve a*v + x - 15 = 5*v, -4*v - 12 = 2*x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -376229*a. Let g(i) = -10*i**2. What is x(g(t))?\nAnswer: 3762290*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39796*k - 39796*k + 27*k**2.\nAnswer: 27*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 - 7. Let w = -9 - u. Let b be (0 + -800)*(10 + w). Round b to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**2 - 2*f. Let d(k) = -8*k**2 + 3. Let s(w) = -3*w**2 + 1. Let j(v) = d(v) - 3*s(v). Give j(q(m)).\nAnswer: m**4 + 4*m**3 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-19)*p*p*p**(-4\/7)\/p)**(2\/13))**16 assuming p is positive.\nAnswer: p**(-320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**2 - 4*d + 1. Let j be z(-3). Suppose 5*s = -4*l + 10 - 2, 2*l - 2*s - j = 0. Solve 0 = -3*q + l*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 7*b**3 + b**2 - b - 2. Let s be a(-1). What is the smallest value in s, 2\/5, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1154221, 2308450, 3462679?\nAnswer: 4616908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.2  (b) -1\/4  (c) 0.17  (d) 0.2  (e) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3\/4, -1\/14, 2\/3, 1\/5, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 773 divided by 1\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -6\/17, -0.2, -0.4, -6, -2 in ascending order.\nAnswer: -6, -2, -0.4, -6\/17, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) -3612  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 40 = -0*u. Let l = -1 - -3. Let w be 40\/12 - 6\/(-9). Solve u = f - x + w*x, -l*x + 5 = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5150 by -1.\nAnswer: 5150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 15827 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/21 - 10*(-4)\/(-168).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4*-2*5\/(100\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3ead8bd - 3?\nAnswer: 3ead8ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -287 by -41.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -75.68 and -6.8.\nAnswer: 514.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1 * 499\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 4*j - 2. Let m(d) = 3*d - 1. Let t = -7 + 27. Let c = t + -22. Calculate c*g(o) + 3*m(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 40802 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1\/32 + 15\/32. Let q(a) be the first derivative of -i*a**2 + 2\/3*a**3 + 0*a + 1. Find the second derivative of q(b) wrt b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 26*x**2 + 582*x + 273. Calculate the remainder when ((-26)\/(-6))\/(1\/24) is divided by c(-22).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l - 3*n + 15, l + n - 13 = -2*l. Suppose 2*p - 1 - l = 0. Solve 19 = 5*f - g + p, 2*g = -5*f + 11 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the first derivative of 0*k**6 + 0*k**5 - 1\/3*k**3 - 1\/7*k**7 + 1 + 0*k**4 + 0*k + 0*k**2. What is the third derivative of u(c) wrt c?\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -58336239.6773+0\nAnswer: -58336239.6773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8 + -12. Let w be (-71)\/(-5) - m\/(-20). Let l = w - 12. What is the remainder when 2 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -3*f - f - 2*f**2 + 2 - 5*f. Let j(d) = d**2 + 5*d - 1. Suppose a - 30 = 3*c - 2, c + 4*a + 18 = 0. Let s = 5 + c. What is s*j(k) - 3*u(k)?\nAnswer: k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + 0. Let h be 2\/(-4)*d\/2. Differentiate 2 + 0 + h - 2*s - 1 wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(((sqrt(128) - ((sqrt(128) - (sqrt(128) + -3 + sqrt(128))) + sqrt(128))) + -5)**2*-4 + -4 + sqrt(128)*2 + -4) + -3.\nAnswer: -779 + 528*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 31*l**2 - 4798*l - 1080. Let t be y(155). Let n = 8 + -4. Solve -3*c = -n*v - t - 3, -2*c = -8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((-4)\/(-15))*(94512\/(-198))\/(-179).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, y: 3, u: 6, w: 6, i: 2, t: 2}. Give prob of picking 2 w.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*v + 3*y - 30, 21*y - 15 - 21 = v + 12 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes after 6:49 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2105396 is divided by 9234.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - y = -64. Let u = y - 16. What is the least common multiple of u and (-11)\/(((-1)\/(-1))\/4*-2)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00273458644 to four dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 2)*(3*v - 12 + 12)*(2*v + v + 0*v).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -p**2 - 192*p = 0. What is p?\nAnswer: -192, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/2)\/((-516)\/(-13932)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32005 (base 14) to base 6.\nAnswer: 2330553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 21 and 381913.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 279312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13 - -11. Put -1\/3, -1, x in decreasing order.\nAnswer: -1\/3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 138 + -82. Suppose -2*f + 60 = a. Solve -5*d = -5*x - 10, -2*d + 9 = x + f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 102\/(2\/12 + 0). What is the common denominator of 3114\/o + -1*2 and 63\/4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 0 - 4 + 1 + 2*g. What are the prime factors of z(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1111031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*b - 2*b - 2*b)*(4 - 1 + 3)*(-1 - 2 + 2).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1740 - -1741. What is the closest to 0 in g, 0, -0.2, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 35 = 2*r. Let d(w) = -4*w**3 + 5*w**2 + 3*w - 3. Let q(m) = -7*m**2 - 7*m - 3*m**3 + m - 4*m**2 + 12*m**3 + 7. What is r*d(n) - 3*q(n)?\nAnswer: n**3 - 2*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/1071 and 62\/357*(-8769)\/(-296) - (-21 + 26).\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 2*t. Let f(y) = -2455*y**2 - 7*y - 16. Let d(g) = 2445*g**2 + 6*g + 14. Let n(p) = 7*d(p) + 6*f(p). Determine m(n(a)).\nAnswer: 4770*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 - -1 - 0 - (8 + -13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 4296.875kg?\nAnswer: 4.296875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -0.3, -85, 0.2, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6732\/3725 > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2394 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 887 is divided by 45?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/(2*2\/(-596)). Suppose -169 - i = -4*h - 2*s, 0 = 3*h - 2*s - 249. What is the remainder when h is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 105689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the second derivative of -k**3 - 17*k**2\/2 - 15*k. Let o be y(-5). Let b be (1 + -2 + 14)*1. Solve -i + 3*j = b, 0 = -8*i + 4*i - j - o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -x - 2 - 1, 0 = 3*l - 4*x - 12. Suppose l*p + 2*p - 6 = 0. What are the prime factors of 63\/(-28)*(-4)\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -5  (b) -4\/258983  (c) -4  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 265*d + 22 = 266*d - 5*t, -2*d + 2*t = -4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 18087007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -5, 0, -0.2, -114.3, 12, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = 2*z - 25. Let l(r) = -r**3 + 27*r**2 - 30*r - 25. Let m be l(24). Let h = 981 - m. Which is the nearest to -2\/5?  (a) z  (b) 0.5  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 1092 + 9234 = 0. Suppose -2*b = b - x. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1351, 1531, 1711, 1891, 2071?\nAnswer: 2251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2067.5 + -2068. Is i less than -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31769 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, r: 2, f: 1, n: 1, o: 2}. What is prob of picking 1 r and 1 f?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*w - j - 6857 = 3*w, 0 = 5*w + 4*j - 6872. Is w a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8 + 12. Let f = m - 2. Let w be (-2)\/((-12)\/(-38)) - -4 - -2. Is w != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 7*l - 3*h = 0, 5*l = -4*h - 45. Let t(b) = -3*b + 62. Let u be t(19). What is the closest to 3 in u, -0.5, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13 + -11. Suppose -53*t + 211 = 52. Solve p*o - 16 = -2*b, -t*b - o = -4*o for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -353 + 767\/2. Find the common denominator of -107\/22 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 162 a factor of 610578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -19*c - 36*c + 17*c. Let f(d) = 2*d. What is k(f(o))?\nAnswer: -76*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -51 + 12. Let a = d + 41. Solve 3*v = a*v - 4*n + 11, 0 = 3*v + n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2296?  (a) -1.6  (b) -4  (c) 710\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 3*b - 2. Let z(s) = -2*s + 2. Let v(w) = 7*u(w) + 6*z(w). Let h be v(2). Solve -4*q = 4 - h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 109 is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 141*o - 25 = v + 137*o, 2*v - 5*o + 35 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1004 = 4*f - 632. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*(j*j**(1\/4))\/j)**22*(j**(6\/5)*j)\/j**(2\/15))**29 assuming j is positive.\nAnswer: j**(25723\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(243) + -3*sqrt(243)*-1 + 2*sqrt(243) + 1 + -1.\nAnswer: 54*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 84 a factor of 1680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/27 in -0.5, -2\/5, -11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 3 - (-1 - -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -221 - -223. Solve -2*n - f*n - 24 = -4*p, 2*n + 3*p - 13 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 3 + 7\/(28\/(-20))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**4*i**5)**(3\/2) assuming i is positive.\nAnswer: i**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -228 + 77 + 151 + o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mo when two letters picked without replacement from {z: 3, m: 3, g: 2, t: 3, p: 1, o: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1769 - -1785. Solve -h*a + 15*a - 5 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -816 - -815.497. Let h = t + -0.207. What is h rounded to two decimal places?\nAnswer: -0.71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - (3 + 2 + -6)) + 4 - 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 - 3*g**2 - 2*g + 4. Let d be f(4). Let l be (-1)\/(-1) - -2*3. Suppose 0 = -4*p - d, l*i - 4*i - 4*p - 78 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-10) - 45\/50*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes before 6:07 AM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 25715 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - y = 0. Suppose y = s + 2 - 8. Suppose -2*c - 167 = -3*x - s*c, -2*c + 163 = 3*x. Calculate the remainder when x is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6790 is divided by 150?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8104.605kg to milligrams.\nAnswer: 8104605000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 29 + -17 + (2 - (-8 + 4 - -3))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7312 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 683594, 1366700, 2049808, 2732918, 3416030, 4099144, 4782260?\nAnswer: 5465378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 2*m**3 - 14*m**2 + 6*m + 25. Determine v(7).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 180578459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 - 6. Solve z*k + 3*k + 2*n + 11 = 0, -5*n = 5*k + 25 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1852 = -290*i - 3658 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 815, 3519, 7997, 14249, 22275, 32075?\nAnswer: 43649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 201.49 + -197.49. Sort -3\/7, -11, -6, j in ascending order.\nAnswer: -11, -6, -3\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/5*(-110)\/66?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1840239968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 302, 120, -184, -610, -1158, -1828, -2620?\n\"Answer: -61*n**2 + n + 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -51*l**2 - 1. Let m(j) = -2*j + 440. Give m(y(h)).\nAnswer: 102*h**2 + 442","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34 - 10 = -4*c. Let l = 21 - c. Calculate the lowest common multiple of 16 and l.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -3*g**3 + g**2 + 2*g + 1. Let r be i(-1). Solve r*a + 3*w + 2 - 5 = 0, 0 = -a - 5*w - 11 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the second derivative of -z**4\/12 + 5*z**3\/3 - 8*z**2 + 8*z. Let l be q(7). Solve -l*j + 5*o = 25, 2*j - 3*j = 3*o - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**3 + 69*n**2 + 197*n - 64. Let b be j(-66). Suppose 2*l = 2 + 34. Calculate the highest common factor of l and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, x: 2, l: 1, u: 1, c: 1, r: 2}. Give prob of sequence cc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n**4 - 143*n**3 + 2860*n**2 - 11700*n - 36000 = 0. What is n?\nAnswer: -2, 10, 15, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.4, -36, 5, -1\/3, 2, 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -9*w + 2. Let l(i) = 15896*i. Give r(l(n)).\nAnswer: -143064*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**3 - 8*v**2 + 6*v - 4. Give z(-8).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:35 PM and 6:18 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 92 + i - 193 + 99 - 2*i. Suppose -2*o = -4, -4*x = -9*x + 2*o - 34. Let r = x + 3. What is n(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -45 - -47. Suppose -n*t + 3*t + 8 = -4*p, 0 = p + 3. What is the nearest to 2 in -1\/4, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0749177 and -76?\nAnswer: -5.6937452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = 3*l, 4*l = -5*c - 2 + 3. Let g = -21 - -29. Suppose s + 2*q + q - 18 = 0, l*q = -g. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2206133097 - 291820\nAnswer: -2206424917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together 25533 and -41192.\nAnswer: -15659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 19  (b) -1  (c) 124  (d) -1\/5  (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**3 + 0*d**3 - 35 - 7*d + 37 + 0*d - 7*d**2. Let n be l(-6). Suppose 0*q + n*q - 328 = 0. List the prime factors of q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -498 (base 10) to base 14.\nAnswer: -278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w = -2*m - 30, 3*w + 0*m - 5*m = -0*w - 0*m - 55 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - 41 - -6) + -15 + (19 - -9).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/7, -64549\/3, 4 in descending order.\nAnswer: 4, -2\/7, -64549\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r + 5841*u + 5827*u - 13 = 11666*u, -5*r + 3*u - 21 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -7*v**3 - 9*v**2 - 2*v + 3. Let u(a) = 3*a**3 + 4*a**2 + a - 1. Suppose -3*x - 5 = -1 - 10. Calculate x*q(t) + 5*u(t).\nAnswer: t**3 + 2*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -4*v - 124. Let d be i(-30). Let u(m) = 4*m + 2. What is u(d)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 915824 and 37856?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -16, -5*y + 0*t + 201 = -t. List the prime factors of y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(18)*3)\/sqrt(9))**2.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -40 + 19. Let c = 85\/4 + o. Suppose -2*r + 1 = -w - 5*r, -5*w - r - 19 = 0. What is the third smallest value in w, -6, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1566598 and 64088100.\nAnswer: 704969100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -81.101 - -0.101. Let p = -77 - k. Let m be 2\/(-4) - (-14)\/(-12). What is the second biggest value in m, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 - -204?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-6)\/(o**(-40)\/o)*o**(-2\/65)\/(o**(-16)\/o))**34 assuming o is positive.\nAnswer: o**(114852\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 362117826 to the power of 1\/3, to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 125489 and 8281?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.314, -5, 3, 5.\nAnswer: -5, 0.314, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -54 (base 11) to base 2\nAnswer: -111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the first derivative of -y**6\/3 - 209*y**4\/4 - y**3 - 4*y**2 + 261*y - 1848. What is the second derivative of x(a) wrt a?\nAnswer: -40*a**3 - 1254*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 283*u**3 - 112*u**3 - 172*u**3 + 3.\nAnswer: -u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that x**4 + 359*x**3\/5 + 633*x**2\/5 + 209*x\/5 - 14 = 0.\nAnswer: -70, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1345 + 1559 = 22*y. What is the greatest common divisor of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -4*n + 8. Let k be z(-12). Let g = 57 - k. Let p be g - (0\/(-5) + (-12)\/(-15)). Which is the biggest value?  (a) 0.06  (b) -1  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 30434 divided by -1276\nAnswer: -15217\/638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 5*a - 49 = 673, -4*a + 1456 = 4*h. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(17) + (sqrt(17) + sqrt(34)\/sqrt(2))*-4 + sqrt(68)\/sqrt(4)*-5 + 2))**2.\nAnswer: -1200*sqrt(17) + 61300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 937 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 147 + -228. Let d = 1164 + -1082.7. Let s = f + d. Sort -0.04, -0.2, s in increasing order.\nAnswer: -0.2, -0.04, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13013 (base 13) to base 7.\nAnswer: 204350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**2 - 4*l + 9. Let v be h(-5). Let r(b) = 4 + 14*b - v. Let k(g) = g**2. What is k(r(m))?\nAnswer: 196*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -29616 - -29615.8. Sort 15, 260, 5, r in decreasing order.\nAnswer: 260, 15, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*-2*(1 + sqrt(2352) + sqrt(2352)*-3 + 4*(1*sqrt(2352) - sqrt(2352)))**2*2*-6.\nAnswer: -1129080 + 13440*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 70 and 20655110.\nAnswer: 20655110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((9\/7)\/(-9))\/(84\/(-504)). Factor 0*d**2 + t*d**4 + 2\/7*d**3 + 0 + 0*d + 4\/7*d**5.\nAnswer: 2*d**3*(d + 1)*(2*d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q + 38 = -5*c + 66, -q + 4*c + 14 = 0 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 783143079 to the power of 1\/3, to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 1 + 2*g + 23*g**2 + g**3 - 15*g**2 - 10*g**2. Let z(b) = -b**2 - 22*b + 3. Let j be z(-22). Calculate x(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1483, -1525, -1639, -1861, -2227, -2773, -3535?\nAnswer: -4549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -5233*a + 10507. Determine t(2).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -1\/22?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -107*m - 4. Is n(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + -3 + 1 + 2 + 24 + (55 - 47)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-140)\/(-56))\/(1\/2). Sort -5, b, -4, -7.\nAnswer: -7, -5, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.334 + 0.234. Let q be 1\/((-2)\/(-20)*2). Let j be q\/(-7)*2\/5. What is the nearest to -3 in 5\/2, j, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(5*(sqrt(1088) + (sqrt(1088) - (sqrt(1088) + 5))**2) + sqrt(1088) - (sqrt(1088) + (((sqrt(1088) - sqrt(1088)*-2) + sqrt(1088))*6)**2)).\nAnswer: -80*sqrt(17) + 1253126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**3 - c**2 + c. Let n(f) = 2*f**3 - 5*f**2 + f + 7. What is n(j) - 3*x(j)?\nAnswer: -j**3 - 2*j**2 - 2*j + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 - 1. Let q = -259.8 + 260. Let n = 47 + -51. Which is the nearest to 1\/2?  (a) q  (b) f  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4\/7, -0.044, -0.3, 4, -8?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 20719\/1105 - 1\/4420. Calculate the common denominator of -17\/436 and y.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 498\/931 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 11 + 31 = -2*b, -3*p + 12 = 0. Solve 88*i - 91*i - 2*x + 3 = b, -5*i + 9 = 4*x for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 69462900?\nAnswer: 2, 3, 5, 13, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve y - 7*o + 2*o = 5, 13*o + 13 = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -133*y**3 - 16*y**4 + 133*y**3 + (-y - 4*y + 4*y)*(-10*y**3 - 39 + 39) + 4*y**4 - 4*y**4 - 2*y**4.\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ca when two letters picked without replacement from atvtoycy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30109 is divided by 118?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33 is divided by (-10 + 250\/30)*72\/(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*l**4\/3 + 71620*l**3\/3 - 33374*l**2 - 22920*l + 34344 = 0. Calculate l.\nAnswer: -1, 6\/5, 1431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 + 1)\/(1 + 0) + 6. Let m(g) = 7*g - 6. Let x(t) = 6*t - 5. Give u*x(q) - 5*m(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**2 - 7*q + 8. Suppose 5*j + 49 = -1. Let n = j + 4. Calculate the least common multiple of 22 and f(n).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6155*d + 54930*d + 554261*d.\nAnswer: 603036*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 397 a factor of 3113274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -90031, -179815, -269599?\n\"Answer: -89784*u - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -92 - -80. Let n be ((-537)\/9)\/(1 + h\/10). Let m = n - 289. Find the common denominator of 11\/4 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in seven halves of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 7 = 5*h, -h - p = 2 - 1. What is the hundreds digit of h*-3 + (-2156)\/(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3 - (1\/1 + 4). Let f(l) = 22*l**3 - 7*l. Let t(c) = 7*c**3 - c - c - 9695*c**2 + 9695*c**2. What is o*f(p) + 7*t(p)?\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -7*b**2 + b + 1. Let h(n) = 4*n**2 - n - 1. Let i(y) = 10*y + 25. Let j be i(-2). Give j*h(s) + 3*z(s).\nAnswer: -s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*(m**(-6)\/m)\/m*m)\/(m*m**(-3)))\/(m\/(m*m\/(m\/(m\/m**1))))**44*((m*m**(-5))\/(m**(-7\/4)\/m))**29 assuming m is positive.\nAnswer: m**(-161\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8256 + -8253. Sort 11, o, -4, 19, 2.\nAnswer: -4, 2, o, 11, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100001 (base 2) to base 3.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v + t - 3*t - 12 = 0, -2 = v + t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 135 - 105. Suppose -5*u = -2*n - t, -5*u + 30 = n - 0. Suppose 21 = 5*c + 6. Solve c*b - u = 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*d**3 + 0*d**3 - 2*d**3)*((4*d**2 - 2*d**2 - 3*d**2)*(0 + 0 - 1) - 94*d + 45*d**2 + 94*d).\nAnswer: 46*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(-8) - (-12)\/32. Let i = -0.5 - -0.48. Let n = i + -3.98. What is the nearest to -2\/5 in n, u, 2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/22?  (a) 0.055  (b) -0.5  (c) -0.055  (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1339757 * -4.\nAnswer: 5359028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 33040.7 litres to millilitres.\nAnswer: 33040700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -5*a - 5. Let c(n) = -176*n + 1. Is c(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 6*f + 525 = 0. Let h = 80 + f. Solve 0 = -h*z + 8*z + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t**2 - 24788*t = 0. What is t?\nAnswer: -6197, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 60 = 4*n + n, 0 = 5*n + 3*d - 60. Suppose 9 = -3*g - n. Let t(z) = -z**3 - 8*z**2 - 7*z + 8. Calculate t(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from kspmp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/493?  (a) -3  (b) 18  (c) 1\/3  (d) -0.5  (e) -0.1  (f) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1872)*-1 + sqrt(1872) + -1*sqrt(637) + sqrt(637).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36 + 83 - 3*j - 40 - 7.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 + 2. Let t(j) be the first derivative of -4*j + 1\/2*j**2 - 19. Give t(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, d: 1, v: 4, b: 4}. What is prob of picking 2 t?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes after 2:43 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -4021 (base 6) in base 8?\nAnswer: -1555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1136653154.\nAnswer: 2, 7, 13, 821, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -51*j**2 - 411*j + 420. Let c(m) = -145*m**2 - 1233*m + 1259. Let r(f) = -6*c(f) + 17*k(f). Suppose r(t) = 0. What is t?\nAnswer: -138, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 712613, 712612, 712611, 712610, 712609?\n\"Answer: -q + 712614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w + 4*k + 1313, k = -2*w - 3*w + 1328. Let m(y) = -269*y - y**2 + w*y + 1 - 1. Determine m(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the second derivative of -k**6\/6 - 17*k**5\/4 - 105*k**4\/4 + 135*k**3\/2 + 11*k. Solve i(o) = 0 for o.\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from sysbsyblsyyyy?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -175 + 282. Find the second derivative of -f + 7 - 2*f - 14 - o*f**4 wrt f.\nAnswer: -1284*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -44*s**2. Let t(d) = -7*d + 6. Let v(o) = -3*o**2 - 2*o - 6. Let q be v(0). Let k(j) = 6*j - 5. Let i(z) = q*k(z) - 5*t(z). What is p(i(l))?\nAnswer: -44*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ap when two letters picked without replacement from {s: 1, p: 1, z: 5, a: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = -5*z + t, -z + 14 = -0*z - 5*t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that -h**5 + 571*h**4 + 40283*h**3 + 226169*h**2 + 333778*h + 147320 = 0.\nAnswer: -58, -4, -1, 635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -3*u + 11. Let n be o(0). Let k be (-4)\/(5\/3 - 1). Let z = k + n. Solve -10 = -z*s + 3*s, 0 = -3*q - 5*s + 31 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the second derivative of -5*p**7\/42 + 7*p**6\/9 - 5*p**5\/6 - 25*p**4\/9 + 65*p**3\/18 + 5*p**2 - 278*p. Let r(z) = 0. Calculate z.\nAnswer: -1, -1\/3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + p + 35 = 0, -10 = -c - 4*p + 3*p. What is the units digit of 46\/5 + (-3)\/c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i - 2*o = 0, 0 = 5*i - 10*i + 2*o - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -607*v**4 + 2*v**3*x**3 - 2*v**3 - 2602*v**2*x**3 + 6*v**2 wrt v.\nAnswer: -14568*v + 12*x**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 9 - 13*d - 15*d + 27*d. What is p(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17*9\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -4*v + 23. Suppose -4*x = -p + 2, 5*p - 4*p + v = -2*x. Is -58*((-3)\/6 + p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 1 + 2)*(0 - 2 + 3)*(-3 + 3 - 5*m**4) to s*m**2 + u*m**3 + j*m + b + g*m**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(144)\/(6*sqrt(48)\/sqrt(6)))\/(-2*-2*sqrt(1296)).\nAnswer: sqrt(2)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/63 and -50\/721.\nAnswer: 6489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 6, y: 2, e: 2, d: 6, r: 1, u: 3}. What is prob of sequence dudf?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 259 + 2?\nAnswer: 25b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 17479295*v**4 - 29092018*v?\nAnswer: 209751540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -5*h**2\/4 + 53*h\/4 + 11\/2 = 0.\nAnswer: -2\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -71309125 + -187.\nAnswer: -71309312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 3*q**3 - 2*q**2 + 3*q + 3. Calculate r(-2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -14718, -14722, -14738, -14772, -14830, -14918, -15042, -15208?\n\"Answer: -s**3 + 3*s - 14720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1323, 5531, 15525, 34197, 64439, 109143, 171201?\n\"Answer: 482*z**3 + z**2 + 831*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -311 (base 5) in base 16?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 348 is divided by 168.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 2*b**2 + 7*b - 10. Let f be m(-6). Which is smaller: 1\/3 or f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (-8 - 7) - -8 - 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 98938247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of (1 + (-740968)\/24)*75\/(-50)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -5*f**2 - 3*f + 1. Let s(r) = -8*r**2 + 16*r - 6. Let t(m) = 7*m**2 - 10*m + 4. Let a(q) = 2*s(q) + 3*t(q). Give 3*a(b) + 2*k(b).\nAnswer: 5*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -145*u - 155*u + 121*u - 107*u.\nAnswer: -286*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve t = -4*t - 3*o + 23, -13*o + 12*o = -7*o - 24 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -55075, -110181, -165287, -220393?\n\"Answer: -55106*p + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7483 is divided by 162?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**2 - 18*a - 43. Let i be v(-15). Put -3, i, 13, 5 in ascending order.\nAnswer: -3, i, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 0.3, 0.2, 60, 3\/5, 5, -1.71, 1?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 4*f = -927, 2*f + f - 929 = 5*g. Let d = g + 131. What is the smallest common multiple of 4 and (-5)\/(-2)*d\/(-70)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 754?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/6*(-2819456)\/16. Suppose 5*t - w = f, -4*t - 9*w + 10*w + 70487 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z - 82*w + 110*w - 171 = 0, z - 5*w + 33 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 328007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h**3\/4 - 6*h**2 - 113*h\/4 - 45\/2 = 0 for h.\nAnswer: -18, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*u**3 + 209*u - 106*u - 103*u - 16*u**3.\nAnswer: -27*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = -2*o. Let u be (-2)\/(-7) - 12\/(-7). Suppose 32 = u*l - 5*p, 0*l + 4*l = -3*p + 12. Solve 0 = 3*d - o*d + l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -109 - 66 = -b - 4*f, -2*b - 4*f = -334. Let d be b\/(-7) + (-8)\/28 + 0. Let g = d - -26. Solve -g = 2*u - 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 + -2. Let t be (-574)\/(-13) + (-7)\/(91\/2). Suppose 2*l = -b*l + t. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -31322 or -31092?\nAnswer: -31092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - z + 6 - 10 = 0, -2*t - z = 4. Suppose 4*j - 4 = -t*n + 4*n, -j - n = -3. What is the third smallest value in j, 2\/15, 5, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1928 divided by 115459.\nAnswer: -1928\/115459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:51 PM and 5:01 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -20343, -14058, -7773, -1488?\n\"Answer: 6285*i - 26628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the second derivative of 0 + 1\/10*r**3 - 2*r - 1\/50*r**6 - 3\/20*r**4 + 9\/100*r**5 + 0*r**2. Let d(k) = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/30 + 896\/3120. Put -5, f, 0.1 in descending order.\nAnswer: f, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(2\/15))\/(p**1\/p)*(p**3)**29 assuming p is positive.\nAnswer: p**(1322\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5641095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2782 is divided by 56?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**3 - 22*w**2 + 68*w + 180. Let b be o(-30). What is b rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*d + 85 = 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -26.81224 rounded to 2 dps?\nAnswer: -26.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10183 by 36.\nAnswer: 10183\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -28\/3613 - -177593\/1936568. What is the common denominator of -17\/12 and i?\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12186442*t**2 + 2225781*t wrt t.\nAnswer: -24372884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.7105615ml?\nAnswer: 0.0007105615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 673025, -5, 1, 5 in ascending order.\nAnswer: -5, 1, 5, 673025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 25093\/17014 - 369\/181. Let w = -3922\/3 - -15385\/12. What is the common denominator of w and d?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 595155 and 7498953?\nAnswer: 37494765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0228180958 to 5 dps.\nAnswer: 0.02282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -43, -13, 3, -8 in ascending order.\nAnswer: -43, -13, -8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**3 + 367839*f**2 - 11277115920*f + 101464250508.\nAnswer: -3*(f - 61302)**2*(f - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 70120 and 1160?\nAnswer: 2033480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the second derivative of z**6\/20 - z**3\/6 - 4*z**2 - 8*z. Let v(b) be the first derivative of s(b). What is the derivative of v(t) wrt t?\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*n - 2*n + 0*n)*(4997 + 3336 - 6462)*(-n**4 - 2*n + 2*n).\nAnswer: 13097*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -167, -2, -303372 in increasing order.\nAnswer: -303372, -167, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18823654?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(sqrt(99) + sqrt(99) + -2) + -2 + (-5 + 1 + sqrt(99) + sqrt(99) - (0 + sqrt(99) + (sqrt(99) - (sqrt(99) + 0)))))**2 + 1)*-1.\nAnswer: -896 - 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 5*x + 6. Let z(r) = -3*r - 5. Let m(s) = 2*c(s) + 3*z(s). Calculate m(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 3*t - 73 = 3*i, -93 = -3*t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 3\/8, 3, -4, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -315.795 to 0 decimal places.\nAnswer: -316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*w**3 + 25098*w**2 + 10043*w - 15060.\nAnswer: -(w - 5020)*(w + 1)*(5*w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 5 + (-13)\/5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 639371?\nAnswer: 639371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 52 + -73. Let l be (14\/g)\/(4\/(-6)). Let v = 3 - l. Sort 5, 3, v.\nAnswer: v, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vnnuvvvbnb. Give prob of sequence vnbb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 473 and 10747?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3\/(0 + (-6)\/(-4)). Suppose z = u*z. What is the third smallest value in -2, z, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1773234 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*m + 2*m + 229 + 443 = 0 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h = 3*m - 31, 9520*h + 24 = 2*m + 9522*h for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lxxoxxlllxxllxo. Give prob of sequence xx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, v: 7, e: 2}. What is prob of picking 2 e and 1 q?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 29124 + -19831. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 813766323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 94722 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 - 8) + -59 + 79. Solve -y = 15*q - 56 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5459 = -3099*p - 50022 + 277712 + 110840 for p.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1078 is divided by 57.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -12\/25, 6, 2, 1\/59 in descending order.\nAnswer: 6, 2, 1\/59, -12\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -12?  (a) -38478  (b) -3  (c) -0.1  (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 4*t**3 + 97*t**2 - 58*t + 149. Let m(h) = 3*h**3 + 65*h**2 - 33*h + 99. Let b(c) = 7*m(c) - 5*z(c). Determine b(28).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -2*w**3 - 7*w**2 - w + 5. Suppose 6*s + 7*s - 26 = 0. Suppose 5*r - 84 = r + s*i, 3*r - 60 = 3*i. Calculate the remainder when c(-5) is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-1)*-264*32\/(-768).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r - 3, 4*u - 4*r = r - 15. Suppose u = -5*h, 2*h = -v + 5*v - 288. Is v not equal to 72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6)\/3 - (-40 - -3). What is the highest common factor of 21 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4\/5  (b) -1\/3  (c) -5\/2  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.170124 to three dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -10066, -40646, -91614, -162970, -254714, -366846, -499366?\n\"Answer: -10194*y**2 + 2*y + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-14)\/4)\/(1\/(-2)). What are the prime factors of (-108)\/(-14) - (-2)\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -583*j + 1286*j - 532*j.\nAnswer: 171*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -151541350 (base 7) to base 9\nAnswer: -20884731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 47 (base 16) to base 6\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -b**2 - 4*b**2 - 6139906*b + 6139906*b.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -39138*h**2 + 369*h - 113?\nAnswer: -78276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -20202 (base 3) in base 4?\nAnswer: -2312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzqq when four letters picked without replacement from {q: 3, z: 7}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 103\/10332 and 29\/5166?\nAnswer: 10332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1295 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z = -3*j - 62, 38 = -10180*j + 10178*j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -137154374*i - 357960085 with respect to i.\nAnswer: -137154374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*d + 0*d + d)*(0 + 2 - 1) - 2 - 2*d + 2 + (d - d + d)*(-20 - 13 + 147) + 2*d - 4*d + 4*d as f + x*d and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ikb when three letters picked without replacement from {j: 1, b: 1, r: 2, k: 2, p: 1, i: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 + (1 - (-2 + 0)). Suppose 5*d + 2*s = 23, -j = -2*d - s + 4. Solve 0 = d*b - 10*b + 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18465024.\nAnswer: 2, 3, 24043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m - 14 = 2*k, -6*m = -5*k - 11*m + 25 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -265692013, -265692014, -265692015?\nAnswer: -265692016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8878 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes before 8:23 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-24))\/(((-4)\/(-20))\/(6\/10))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 84 + -161\/2. Is r >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18797 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4150960 divided by -4150960.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o. Let j(i) be the second derivative of 8*i**3\/3 - 63*i + 1. Determine -2*j(r) - 28*s(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 566460 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bxgoy. What is prob of sequence xb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -1) + 4 + 1 - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 1 q, and 1 u when three letters picked without replacement from fuqwu.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -730325\/101 + 7231. Let s = l - 119\/303. Let p = 3\/32 + 103\/96. Which is the smallest value?  (a) -0.2  (b) s  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -200*q + 3401. What is o(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) 0  (b) -131\/5  (c) 7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 + -4)\/((-2)\/6). Let d(p) = -p**2 - 10*p + 5. Let g be d(-10). Suppose f = 2*v - g. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36.441 - 137.\nAnswer: -100.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -1 - 4 + 4 + 6 + 2*r. List the prime factors of v(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 575 = 38*q - 7519. What are the prime factors of q?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4727?  (a) 0.4  (b) -11  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**3 + 8*p**2 - 3*p + 11. Suppose -11*j + 56 = -7*j. Calculate the remainder when q(-8) is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 150*o - 65*o + 1 - 4 + 3*o**2 - 2*o**2 - 66*o.\nAnswer: o**2 + 19*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 185971579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(612) + 2 + sqrt(612)) + 2 + -3*((sqrt(612) + -3)*2 - sqrt(612)))**2.\nAnswer: -1560*sqrt(17) + 103528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(-21)*(-7)\/56*28?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (((-4)\/12)\/(3\/3))\/((-209)\/66)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of 131 and 17607027869.\nAnswer: 17607028000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1228292?\nAnswer: 2, 13, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -11 and 0.34?\nAnswer: -3.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10087 + -10087.1. Put g, -33\/2, -2, 1 in descending order.\nAnswer: 1, g, -2, -33\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.145 + -1.2. Let o = 5.055 + d. What is the second biggest value in -0.17, o, -0.2?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1408 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m + 16*m - 56. Suppose -m*n = -2*n. Suppose n = -8*u + 12*u - 60. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 - -9. Let n be (3 + -10 - -1)*2\/(-4). Let w(i) = -n*i - c*i + 7*i + i**2. Let q(y) = -11*y. Determine w(q(v)).\nAnswer: 121*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = -3 - 33. Calculate the lowest common multiple of j and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5517464 (base 9) in base 2?\nAnswer: -1011010011110000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 3*d - 8, 3*g + 0*d = 3*d - 6. Let i be (8\/32)\/(g\/(-16)). Solve -2 = 2*c, 2*t + 4*c - 4 - i = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 - 1.1. Let k(z) = -z**2 - 6*z. Let d be k(-5). What is the smallest value in a, -0.2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -29*u - 47. Let n(v) = -117*v - 173. Give -2*n(l) + 9*s(l).\nAnswer: -27*l - 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -18*k**2. Let x(m) be the first derivative of 2*m**3\/3 + 18. Calculate x(q(w)).\nAnswer: 648*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k - 5. Let y be n(-9). Suppose 0 = -w + 2*h + 269 + 210, y*h - 982 = -2*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 - 4)*(-3 + 3 - d) + (93 + 58*d - 93)*(1 + 2 - 4).\nAnswer: -56*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 1.04, -1\/3, -0.06, -7, -3?\nAnswer: 1.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 268771 is divided by 1639.\nAnswer: 1614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 + -1 - -7) + -56 + 53?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*-2*sqrt(480)*1)\/(((sqrt(66)*-2 - sqrt(66) - sqrt(66))*1)\/(sqrt(55)\/(sqrt(10)\/sqrt(2)))).\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -67*r - 8. Let p be v(-8). Let f be (-4192)\/p - 1*2. Let m = -13\/33 + f. Calculate the common denominator of m and -63\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -42421 (base 6) in base 3?\nAnswer: -21220211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -137 and 0.410904.\nAnswer: -56.293848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -7190, -6900, -6426, -5774, -4950, -3960?\n\"Answer: -l**3 + 98*l**2 + 3*l - 7290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1488298 and 0.3?\nAnswer: 1488298.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -3*h**2 + 30*h + 44. Let c(a) = 5*a**2 - 46*a - 67. Give -5*c(b) - 8*y(b).\nAnswer: -b**2 - 10*b - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 70, -1, -416 in decreasing order.\nAnswer: 70, -1, -416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 2788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the third derivative of 0 - 1\/24*t**4 + 0*t**3 + 0*t - 5*t**2 + 389\/15*t**5. Is u(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 53, 135, 219, 305, 393, 483, 575?\n\"Answer: n**2 + 79*n - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 16815666293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12 + 6 + 5 + (-3 + 2 - 1)*(1 - 9 - 2))*(-2*k**4 - k**4 + k**4).\nAnswer: -38*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15823524 by -268.\nAnswer: -59043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n**3 - 12*n**2 + 13*n - 21. Let t be v(11). Solve t = -2*b - 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (10\/8)\/((-3)\/(-12)). What is the nearest to 0 in u, 0.1, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -1550 and -5254201.\nAnswer: -5255751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 11, 46, 141, 326, 631, 1086?\n\"Answer: 5*m**3 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (774\/(-108))\/43*3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*z + 8 + 22. Suppose 2*g - z*q = 15, -5 - 4 = -g + 4*q. Let f(k) = -k**2 + 5*k - 2. Let i be f(g). What is the closest to 0.1 in -0.5, i, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27602?\nAnswer: 2, 37, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 45*u**2 - u + 3. Let m be x(-2). Let s = -112 + m. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 4*k = 68, 92 = 7*m - 2*m - 4*k. Let g(f) = -f**2 + 21*f - 15. Let x be g(m). Sort 3, -3, x, -4 in increasing order.\nAnswer: -4, -3, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -24 + 17 + 2 + -3 + 7 + 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2011 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: What is the common denominator of 17\/1378 and 56\/32383?\nAnswer: 64766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of m**6*x**2 + 12965*m**3*x**2 - m**2*x**2 + 73*m**2 - 2399 wrt m.\nAnswer: 120*m**3*x**2 + 77790*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2196 is divided by 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is (-85)\/(-2210) + 10710\/52 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-4)\/(-14))\/(11 - 9). Sort 1, v, 0.3, -6.\nAnswer: -6, v, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 + 0 + (-6 - -4) - -3. Suppose t = -16*h + 4*h + 1488. What is the remainder when h is divided by 33?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = 3 - 6. Let b = h - 1. Suppose -b*t + 41 = -5*w, 3*t - 4*t + 28 = -w. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -3*t - 3. Let d = 4 - 6. Let u be a(d). Let o(w) = -w**3 + 12*w**2 - 10*w - 9. Let g be o(11). Solve g*m + 7 = -u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 12 = -3*t, -5*t - 5 = 5*x + 15. Suppose -60 = -5*f - x*f. Let o(r) = 3*r + 63. Calculate the least common multiple of f and o(-17).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -377388.93 times 0.5\nAnswer: -188694.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the third derivative of c**4\/12 - 2*c**2. Let x(b) be the third derivative of 0*b**3 + 1\/12*b**5 + 0 + 0*b + 0*b**4 - 8*b**2. Give m(x(k)).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 198898 is divided by 22099?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 19798, 39507, 59216, 78925?\n\"Answer: 19709*f + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 22678?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1112\/1251)\/(-1 + 21\/27).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -9*u - 3*u + 6*u - 14*u**3 - 4*u - u - 17*u**2. Let q(x) be the third derivative of -x**6\/24 - x**5\/10 - x**4\/6 - x**2 + x. Give -6*a(k) + 17*q(k).\nAnswer: -k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(243)*-1 + 3 + (sqrt(6)\/(sqrt(16)\/(sqrt(8) + sqrt(64)\/sqrt(8))))**2.\nAnswer: -9*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -100671, -100780, -100889, -100998, -101107?\n\"Answer: -109*z - 100562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the third derivative of o**6\/2 - 22*o**5\/15 + 5*o**4\/6 + 4*o**3\/3 - 11*o**2. Factor b(p).\nAnswer: 4*(p - 1)*(3*p - 2)*(5*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**3\/5 - 3137564*x**2\/5 - 1230566719352*x\/5 - 22149184389264\/5.\nAnswer: -2*(x + 18)*(x + 784382)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**3 - 54*p**2 + 292*p - 261. Calculate x(-59).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -2*s**2 - 7*s + 1. Let i(w) = -w**2 - 3*w. Suppose 0 = 16*j - 32 - 0. Calculate j*z(q) - 5*i(q).\nAnswer: q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 12 = 3*d, d - 2*i - 3*i = -21. Let y(p) = 12*p - 1. Let g(z) = 35*z - 2. Let w(t) = d*g(t) + 17*y(t). Find the first derivative of w(u) wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 543950 and -5.\nAnswer: -2719750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*y + 7*y = 5*s - 25, y - 4*s = -20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o + 0 = -y + 36, 6 = 144*o - 141*o - 3*y + 33 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Are 1\/3591192411 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 200925316 - 200925323.88998714. Let s = z + 7.89. What is s rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 150.08984 - 0.3.\nAnswer: 149.78984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 158 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes after 9:11 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 428040880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 2*j**2 + 34*j - 35. Calculate t(-11).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 274 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 550 + -525. Let c = m + 2. What is the remainder when 146 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 44\/(-46) + 1 + (276940\/(-183))\/(1495\/(-78)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the third derivative of 0 + 5*d + 83\/6*d**3 + 1\/24*d**4 - 1\/15*d**6 - 5*d**2 + 0*d**5. Differentiate t(i) wrt i.\nAnswer: -24*i**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38723322.\nAnswer: 2, 3, 11, 337, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) 0.3  (c) -0.1  (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 11101 (base 4) to base 14\nAnswer: 1a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1020 + 221001000?\nAnswer: 221002020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-3 + sqrt(208) - (sqrt(208) + -1)**2)*-5 - (-1 + 1*(sqrt(1872) + 0)**2*2).\nAnswer: -10103 + 360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the third derivative of l**5\/30 - 6*l**2. Let c(b) be the third derivative of b**4\/24 - 11*b**2. Give c(m(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4043455, 4043441, 4043403, 4043329, 4043207?\nAnswer: 4043025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1071 and 183148140.\nAnswer: 549444420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k**3 - 55*k**2 - 758*k - 704 = 0. What is k?\nAnswer: -32, -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 27238958 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (16131*q - 16129*q - 169 + 27)*(2*q**3 - q**3 + q + q**3) to the form w*q**2 + j*q**3 + l*q**4 + s*q + g and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 239 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: Suppose -123 = z + 114. Let x = -112 - z. Let w = x - 12. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -253\/7 - -36. Let h be (0*(-1)\/(-2))\/(5 - 2). Which is the third biggest value?  (a) h  (b) -0.4  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 59*d - 319. Calculate y(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(99) + 1 - (3 + -1 + sqrt(99)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 75\/(-594) - 4\/(-22). Let n(l) be the first derivative of -h*l**6 + 0*l**3 + 1 - 1\/6*l**2 + 1\/6*l**4 + 0*l**5 + 0*l. Find z such that n(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7323 or -9?\nAnswer: -7323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/8*(-3 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*i**3\/7 + 604*i**2\/7 + 2304*i\/7 - 1008.\nAnswer: 4*(i - 2)*(i + 6)*(i + 147)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d**4 + d**5 + d**4 + (-2*d**2 + d - d)*(-2*d**3 - 2*d**2 + 2*d**2) + 3 + 8*d**5 + 30*d**5 - 55*d**5.\nAnswer: -12*d**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -4*m - 5. Let o be i(-4). Let s(j) = 21*j**3 + 31*j**3 - 36*j**3 - 5*j + 5. Let c(b) = -3*b**3 + b - 1. Give o*c(z) + 2*s(z).\nAnswer: -z**3 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the first derivative of 7*u + 84 + u**3 - 7\/2*u**2. Let o(k) be the first derivative of -k**3\/3 + k**2 - 2*k + 1. Calculate -6*m(a) - 21*o(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and 732434.\nAnswer: 219730.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes after 10:49 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x = -10376*g + 10377*g - 11, -3*x - 6 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 626619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zuz when three letters picked without replacement from {u: 3, a: 1, v: 5, z: 2, p: 5}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 1624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*x - s - 2, 18*s - 17*s + 2 = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -182005, -363987, -545969, -727951?\n\"Answer: -181982*u - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2391 - 94*y + 2391)*(-2 - 2 + 1).\nAnswer: 282*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -5831 + 5792 + (-202)\/(-5)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 19 (base 14) to base 12\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 16.9004 + 0.0996. What is the nearest to -0.8 in 2\/9, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -39 - 0. Let u be 280\/546 + -2 + (-84)\/l. What is g in -u - 1\/3*g**2 - g = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 - 55 = -5*w. Suppose -5*s + 8 = -w*s. Let r(q) = q**3 + 3*q**2 - 5*q - 1. Give r(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 253687 or 253679?\nAnswer: 253679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + u + 1)*(3*u - 2*u + 3*u) - 9*u - 9 - 4 - u**2 + 7.\nAnswer: 3*u**2 - 9*u - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -104, 2, 4, -1, 3.\nAnswer: -104, -1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*f**2 + 276796 - 276796.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 6*g - g. Suppose 0 = -s + g*v + 12, 2*v + 3 = 3*s - 7. Solve 5*n + 5*r = 20, -s = -4*n + r + 2*r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-5)*z\/(z\/((z*z**(3\/4))\/z))*(z\/(z\/(z**(-3\/4)*z)))\/((z\/z**(3\/5))\/z))**(5\/6) assuming z is positive.\nAnswer: z**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-9)\/(1260\/(-287)) + -2. Let v(i) be the second derivative of m*i**6 - 6*i + 1\/6*i**3 - 1\/10*i**5 - 1\/24*i**4 + 0*i**2 + 0. Factor v(u).\nAnswer: u*(u - 1)**2*(3*u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -38 or 6398?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 27*c + 56*c**2 + 53*c**2 + 55*c**3 - 24*c + 54*c**2 - 161*c**2 to the form a*c**2 + n + s*c**3 + d*c and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2376\/336 + (-1)\/14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 413753304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*h = 324 - 159 + 535 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -357 + 360. Solve -s*m = -g + 3 - 17, 0 = 5*g - 3*m + 22 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*z + 2436 - 7242 - z + 2385 + 2421.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45 = -5*j + 5*d, 24*d - 27*d + 37 = -5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -57 in -518, -2\/21, 44?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 185531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5382231m to micrometers.\nAnswer: 538223.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 280.5647 grams?\nAnswer: 0.2805647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -8 + 6 + 0 + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3591193798?\nAnswer: 2, 17, 9013, 11719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 29939413 or 29939411?\nAnswer: 29939413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11, 69, 159, 275, 411, 561, 719?\nAnswer: 879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that 40\/7*u**2 + 72\/7 + 4\/7*u**3 + 108\/7*u = 0.\nAnswer: -6, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxwxfsxxwxxkf. What is prob of sequence wfs?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes before 3:07 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2277685 is divided by 13237.\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 689*a - 11389 = -38260 for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-3))\/2*27\/(-18).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49460?\nAnswer: 2, 5, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2634.62253554 - 2639.39254. Let d = u - -4.77. Round d to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2755925 and 16450.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -57849, -115697, -173545, -231393, -289241, -347089?\nAnswer: -404937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + n = 6*r - 15, -2*r = -3*n - 6. Suppose -4*m + r*m = 2*v + 359, 551 = -3*v + m. Let y = v - -255. Calculate the remainder when y is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let i = -79 - -45. Let h = -32 - i. Solve -b - h = -3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-96)*-4*96\/300?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 161 = -5*s + 27, -5*s + 2*y = -192. Suppose -v = 4*v - s. Solve -k - 4*z = -z + v, -5*z - 24 = -k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -154210 + 154353. Let n(a) = 8*a + 17. Let q(d) = d + 2. Let f(k) = -6*n(k) + 51*q(k). Calculate the remainder when j is divided by f(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(0 + sqrt(2057)*-5 + -3).\nAnswer: -110*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4097, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen eighths of a tonne in kilograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f - 33*f + 245 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-318)\/33 - (-1008)\/(-2772)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20 - -1 - (3 + 0).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14855?\nAnswer: 5, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j*j**(-1\/6)*j**11*(j*j**(-4\/11)*j)\/j**8 assuming j is positive.\nAnswer: j**(361\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -22 divided by -22\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*-2062860\nAnswer: -1031430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.04306 + -0.15694. Is g greater than 466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 35 in -2\/11, -1.43, -6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1584.582 + 150198.\nAnswer: 148613.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8.5 + -3.5. Sort 2, 4, h, 1 in decreasing order.\nAnswer: h, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 + 0)\/(6\/(-24)). Suppose -2*j = 2*r - 8, j = y*j - r - 8. Let h(k) = -k - 9. Let w(g) = g + 5. Give j*h(c) + 5*w(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 22\/7 in -0.6, 2, 0.01?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -7 + -35 + -17 + (4 - -12 - 10).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 92779523267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes before 11:12 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 6991 + 2\/(5 - 430\/90)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5759.5833 nanoseconds to hours.\nAnswer: 0.00000000159988425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (12 + (8 - 1 - 9) - 2) + (-1 - -39)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 0)*(3*r**2 - 3*r**2 - r**3) + r**3 - 1 + 1 + 3*r**3 - 3*r**3 + r**3 + (-3 + 3 - r**2)*(-4*r + 5*r - 3*r) + 2*r**3 + 3*r**2 - 3*r**2.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the second derivative of -311*h**6\/30 + 388*h**2 + 1205*h. Differentiate w(o) wrt o.\nAnswer: -1244*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -905979 or -905981?\nAnswer: -905981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*f**3 - 328*f + 694*f - 366*f + 38*f**3.\nAnswer: 30*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the third derivative of -n**5\/90 + 4*n**3\/9 + 3*n**2. Factor f(k).\nAnswer: -2*(k - 2)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -480*y**3 + 14*y**2 + 7*y + 1. Is z(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 30 and 83110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes after 1:31 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - -15 - 16 - -7 - 21?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 216\/80 + 3\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 607.024 - 605. Let c = 0.024 - z. Let a = 2 + -2. What is the biggest value in 3, c, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -19\/7, 5, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -20504261 - 4?\nAnswer: -20504265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -82 + 70. Which is the nearest to -1?  (a) -0.4  (b) z  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6649 + 11054. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 - 9. Let o be -1 - n - 8\/(-2). Solve 4*d = 4*i + 16, -o*d = 4*i + 15 + 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, w: 2, l: 12, k: 2, g: 2}. Give prob of sequence ckwg.\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 15171239211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 13 = -23. Suppose -j - 2*o - d*o + 12 = 0, 2*j = 3*o + 35. Calculate the least common multiple of 26 and j.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 2 = 0, -4*g + 5*o + 6 = -5. Suppose -5*q - 2*p + 222 = 0, g*p + 40 = -q + 2*q. Calculate the remainder when q is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighty-one halves of a decade in months?\nAnswer: 4860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l - 1. Let j be r(4). Suppose -j*x + 4*x = 4. Put x, -4, -3 in decreasing order.\nAnswer: x, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8, 19, 30, 41?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76 = -4*u - 2*h - 0*h, -h = -5*u + 88. Suppose a + a = -u. Let s be -1*(0 + 3\/a). Which is bigger: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(456) + 1*-1*sqrt(456) + sqrt(456))\/((sqrt(8) + sqrt(16)\/sqrt(2))*6))\/((sqrt(54)\/sqrt(3)*4)\/((sqrt(6) - sqrt(6)*-1)*4)))**2.\nAnswer: 19\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 22 + -22373782.8912\nAnswer: -22373760.8912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 57195 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 209601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -20, -33, -80, -179, -348, -605, -968, -1455?\n\"Answer: -3*n**3 + n**2 + 5*n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1830 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1*-2 - -4 - -17. Suppose 0 = -2*i - 10, j = -0*y + 3*y - 2*i. Suppose -y*m = -3 - 3. Solve -z + 4*w - 4 = 0, -z - m = 3*z - 2*w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 124*l**2 - 155*l**2 + 169*l**2 + 315*l**2.\nAnswer: 453*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 - -3. Let r = 2.45 - 1.45. What is the closest to r in -8, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -267310 and -762.\nAnswer: 203690220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 60.000373 - 60. What is i rounded to five dps?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 50349 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 956.83086ns to days.\nAnswer: 0.00000000001107443125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -304 - -350. Let t = 559 - d. List the prime factors of t.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3126 - -2?\nAnswer: 3128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1160 (base 7) in base 13?\nAnswer: -275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*n**3 + 6*n**2\/5 + 264*n\/5.\nAnswer: -3*n*(n + 4)*(5*n - 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5808298 and 3.\nAnswer: -17424894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/((-931)\/(-14))*1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.43 - 0.03. Are 0.1 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 117894 to the power of 1\/2, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 - 3. Let o be (-1 - j\/3) + 11. Let x be (o\/(-6) + 2)*0. Solve 4*q + 2*a - 4 = x, 2*q + 5*a = -2*q - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 9ac4980 + -7?\nAnswer: 9ac4978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 6695207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (18\/(-63))\/(3\/(-42)). What is the tens digit of (18\/j)\/((-12)\/(-72))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 7\/(-3 - (-3 - (-2)\/(-92))). Let q(p) = 25*p**3 - p**2 + 5*p + 5. Let g be q(-2). Let u = g + f. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 18 - 12. Suppose -70 = 4*n - 130. What is the remainder when n is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.4  (b) 10616  (c) -99  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/5*t**4 - 16\/5*t**2 + 0*t + 0 - 8\/5*t**3.\nAnswer: -t**2*(t + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16197554, -64790219, -145777998, -259160891, -404938898?\nAnswer: -583112019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -7*j**3 - j**2 - 9*j - 2. Let s be z(-7). Suppose s = 3*a + 13. Suppose 14*u = 2606 - a. What are the prime factors of u?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 93389309*q*r**2 + 1178*q*r + 924*q - r + 30 wrt r.\nAnswer: 186778618*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 3*r**2 + 2*r - 5. Let a be c(-6). Suppose -367*t + 357*t = -520. Calculate the highest common factor of a and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1584) - (-2*(sqrt(1584) + 1) - sqrt(1584)) - (0 + sqrt(1584))*6) + -1)*5.\nAnswer: -120*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 14 = -1. Let c = i + 8. What is the second derivative of -3*a + 4*a - 5*a**3 + 6*a**c + 2*a wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uk when two letters picked without replacement from {k: 1, i: 1, u: 2, x: 1, r: 1, v: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7168160 is divided by 34?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 593 - 4*d - 85 + 719 - 224 as t*d + x and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11143014031 (base 5) to base 6.\nAnswer: 1123134551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do -2\/21 and 2\/10633 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -11*d**2. Let i(q) = -120*q**2. Let m(k) = -5*k**2 - 3*k - 1. Let o be m(-1). Determine o*i(h) + 32*w(h).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -69.12164 to one decimal place.\nAnswer: -69.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1117 - -1118. Which is the closest to i?  (a) -5  (b) -4  (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -55\/156 and 109\/2366?\nAnswer: 14196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 152*g**3 + 481 wrt g?\nAnswer: 456*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhhhhihih. Give prob of sequence hi.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.12?  (a) -22  (b) -0.1  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 62389?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 6187016 times 15\nAnswer: 92805240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.4 and 0.7413902.\nAnswer: 0.3413902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 191508.\nAnswer: 2, 3, 15959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7470 and 360?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + a - 36 = 0. Suppose a = -r + 4*r. Solve 2*l - r*l - 2 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (150\/4)\/3*(-355)\/(49700\/280)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and -494.\nAnswer: -1482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -132*i + 9761. Is v(59) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*s + 13*s - 8 = u, -2*u + 14 = -2*s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-5448)\/(-317800))\/(1\/5)\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 47 + 17 = 0. Let x(w) = -2*w + 3. What is the units digit of x(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 64214 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 136, 697, 1652, 3001, 4744?\n\"Answer: 197*x**2 - 30*x - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -906 - 2075 = 74*t + 44*t - 149 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1627255.\nAnswer: 5, 7, 19, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.05 - -4.05. Let f = 331 - 506. Let l = f - -177. Which is the second smallest value?  (a) 4\/5  (b) x  (c) 0  (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w - 2*w - 2*w)*(w**4 - w**4 + w**4) - 35*w**5 + 331 - 331 - 3*w**4 + 3*w**4 - 3*w**5.\nAnswer: -39*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 - ((-177)\/(-51) - 3). Let p = t - 1\/34. Factor 9\/4*b**3 + 0 + 1\/4*b**5 + p*b + 7\/4*b**2 + 5\/4*b**4.\nAnswer: b*(b + 1)**3*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20796806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -5*t, f - 8*t + 7*t = 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*d + 12 = -11*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -396*y - 34. List the prime factors of d(-4).\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3\/1257563 or -2?\nAnswer: -3\/1257563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 182525 is divided by 26002.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**3 - 7*z**2 + z + 1. Let g be c(-7). Let l(x) = -5 - 112*x + 5 + 2 + 929*x. Let h be l(g). What is h rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -15\/2, -7\/9, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p - 4*f + 4, 16*p = 17*p + 4*f - 19. Suppose 0 = -7*w + p*w. Solve x = -w*x - 2*l + 6, 3*l - 6 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-66 - (-1 - 1)) + (83 - -9) + -85.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*n - 3*v + 9, n + 288 = 2*v + 275 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*k**2 - 11 + 260*k**6 - 7*k**2 - 325*k**5 - 263*k**6 + 3 wrt k.\nAnswer: -360*k**3 - 19500*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-5))\/((-28)\/70).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eg when two letters picked without replacement from {e: 1, l: 2, n: 8, g: 1, m: 6}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.358126 rounded to 3 dps?\nAnswer: 3.358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 + 0.2. Let y = -0.2315 + -0.13. Let s = y - 0.1385. Which is the smallest value?  (a) s  (b) z  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 277060 to the nearest 1000.\nAnswer: 277000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence urru when four letters picked without replacement from {r: 1, u: 1, c: 1, v: 1, m: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the third derivative of -a**5\/60 + 20*a**2. Let t(h) = 11*h**2. Give x(t(b)).\nAnswer: -121*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -8 - (34 - 34).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 + 5\/((-10)\/(-62)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 40*o - 15*o + 18*o - 451973. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 288 and 33312?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 20740 a multiple of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13690 and 134413896?\nAnswer: 2738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 875, 870, 865, 860, 855, 850?\n\"Answer: -5*l + 880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8\/6*(-69)\/(-46). Suppose -40 = q*r - 7*r. Let f = r - -57. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-10)\/6)\/((-1)\/3). Suppose a*q + 4 - 7 = 3*k, 4*q - 4*k - 4 = 0. Find u, given that 0*u + 2\/7*u**2 + q*u**3 + 0 - 2\/7*u**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z**2 + 53952*z - 53953 = 0. Calculate z.\nAnswer: -53953, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**3 + 13*h**2 - 3*h - 37. Let y be c(-13). Let s(f) be the first derivative of -8*f**y - 1 + 3*f**4 - 16\/3*f**3 + 0*f. Factor s(w).\nAnswer: 4*w*(w - 2)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 552900 and 873?\nAnswer: 1658700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnhhe. Give prob of picking 2 h and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -66  (b) -14  (c) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 47876106?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001457251481 to five decimal places.\nAnswer: 0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 530459289?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 720958?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the third derivative of -d**5\/60 - 13*d**4\/24 + 7*d**3\/6 - 783*d**2. What is p(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((h + h - 6*h)*(2 - 1 - 2) - h + 0*h - 4*h)*(-2*h + 6*h - h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 84\/12 + (-3)\/((-72)\/20 - -3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 4*z - z - 1311 = 0, 0 = -4*f + 4*z + 1036. Let l be ((-2212)\/(-38))\/2 + (-54)\/513. What is the greatest common divisor of l and f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 753 - 758.6. Is r smaller than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * -58698.\nAnswer: 17609.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -0*y + 1. Suppose y = 5*c - 29. Suppose -4*f + 2*m = -22, -2*m = -c*m - 20. Solve -3*r + 11 = -k, r - f*k = -4*k + 9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12279 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-22)\/(-2))\/((33\/(-176))\/((-6)\/16)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -7 + l**3 + 3*l**3 - 3*l**3 + 5*l**2 - 6*l. Let s = 11 + -5. Let d = 1 - s. Let a(w) = w**3 + 6*w**2 - 7*w - 8. Give d*a(g) + 6*u(g).\nAnswer: g**3 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -5  (b) -11  (c) -2.9  (d) 20  (e) 4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -3*c + 4. Let j(d) = -d + 1. Let s(o) = f(o) - 4*j(o). Let i(w) be the second derivative of w**4\/3 - w. Give i(s(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -199863 at least as big as -599591\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:14 AM and 5:09 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1565, -3096, -4627, -6158, -7689?\nAnswer: -9220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 69109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20)\/96*(-2)\/(16\/128*4).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 21768.47l in millilitres?\nAnswer: 21768470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 2*a + 603 = 0, 2*q + q - 3*a = -366. Let i = 123 + q. Calculate the greatest common divisor of 16 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 4*v - 4. Let j be g(3). Suppose 166 = 5*l - z, -4*z + 161 = -3*l + j*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 163 = 62*b + 535 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 21\/17386 and 89\/16.\nAnswer: 139088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 1 d, and 1 n when three letters picked without replacement from xdnnbnbbbkbd?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -473237 * 0.664\nAnswer: -314229.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**3 + 5*k**2 + 2*k - 7. Let v be n(-3). Suppose 2*r - 867 = -6*g + g, -3*r - v*g = -1298. What are the prime factors of r?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**2 + 14*h + 15. Let b be c(15). Let f = 8.9 - 46.9. Let k = -34 - f. Put k, -3, b in descending order.\nAnswer: k, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7773.92 rounded to the nearest 100?\nAnswer: -7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*b + 22 = -6*b. Let x(l) = -7*l**3. Let d(j) = -8*j**3. Determine b*x(r) - 3*d(r).\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -739 + 2012. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -26528123866 + 1595\nAnswer: -26528122271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -245 + 2203\/9. Which is the smallest value?  (a) 0.5  (b) 4  (c) 31  (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 396 and 792?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c\/((c\/(c*(c**7*c)\/c*c))\/c))*c**(-2))\/(c**(-2)\/c)**(-19) assuming c is positive.\nAnswer: c**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 10080 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qx when two letters picked without replacement from {x: 1, q: 2, r: 1, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhrwhpmrhjjw. What is prob of picking 1 p, 2 h, and 1 r?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 30030*k**4 - 2*k**3 + 7*k**2 + 5505540*k wrt k?\nAnswer: 360360*k**2 - 12*k + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 18*c. Let h = -5120 - -5114. Suppose 4*d + 4 = 8*d. What is the closest to -1 in c, d, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40 = -4*l - 4*z, 1 = -5*l + 3*z + 11 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-45) - -4 - 4.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 - -100101011111000010101001001?\nAnswer: 100101011111000010101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2024)\/138 + (-1 - -17)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 486 and 89874?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1211022111 (base 3) in base 4?\nAnswer: -20301232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -4*n + 53. What is the remainder when 166 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 928 and 464.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 292753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1313 + -25007\/19. Let k = s + 818\/247. Let l = -4 + 2. Sort 5, k, l in ascending order.\nAnswer: l, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/4  (b) 1\/3  (c) -2490\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, 93, -32, 2203.\nAnswer: -32, -2\/9, 93, 2203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*m + 4*r + 3, -3*r + 9 = -3*m - 6*r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10293855*o**3 + 616*o**2 - 5*o - 123.\nAnswer: -61763130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the second derivative of -b**6\/4 - 22*b**3\/3 + 26*b**2 - b - 8. Let a(l) be the first derivative of v(l). What is the derivative of a(y) wrt y?\nAnswer: -90*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 45 - 15 = -5*h, -o = -4*h + 1. What is the tens digit of (-94)\/(-8) + h\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -34394464, -68788932, -103183394, -137577850?\n\"Answer: 3*y**2 - 34394477*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-2420)\/(-605))\/(16\/160*10\/(-4))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/2)\/(6*1\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -56551 and 6679628.\nAnswer: 6623077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m - 4. Let u be y(-9). Suppose -3*i = -5*i + 16. Let c = i - 4. Solve 3*g + c = -u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -82*w - 13. Let u(j) = -41*j - 6. What is 6*n(b) - 13*u(b)?\nAnswer: 41*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-2)\/4)\/(5\/60). Let j be (-16)\/q + (-4)\/(-3). Let c(u) = 3*u - 1. Determine c(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2248 smaller than -1262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -65*d**3 - 14*d**2 - d + 4. Let n(o) = -8*o**3 - o**2 - o. Let c(y) = 8*n(y) - s(y). Give c(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15 - ((20 - 18) + 2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -4*m. Let y(t) = t. Let u(d) = -3*x(d) - 8*y(d). Let l(f) = 5*f + 8. Let w(c) = -3*c - 7. Let g(j) = 5*l(j) + 8*w(j). Calculate g(u(z)).\nAnswer: 4*z - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 22\/12 + (-10)\/540*-9. Suppose -w*g = 3*c - 582, 3*g + 3*c = 897 - 21. Does 55 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -20*t. Let r(k) be the first derivative of 11 + 0*k + 1\/2*k**2. What is r(b(c))?\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9 - 18. Let l be (-5)\/(30\/x)*2. Which is the second smallest value?  (a) l  (b) 0.3  (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) -2\/11  (b) 3  (c) -26  (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 + -330220?\nAnswer: -330213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -b - 3*q, -3*b + 91*q + 9 = 87*q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 0*l = l - 4, -5*l = 25. Suppose -n*v = 24 - 21. What is the units digit of (1040\/(-100))\/((-8)\/(-10) + v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes before 6:31 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 196493246473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -2c (base 13) in base 2?\nAnswer: -100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0044056 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10210*c**2 - 2160*c**3 + 616 + 10210*c**2 with respect to c.\nAnswer: -6480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - y + 15 + 38 = 0, 4*y = 20. Let v = -10 + b. What is the derivative of 3*f**2 + f - f - v + 0*f wrt f?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 l when three letters picked without replacement from ijjlilljjii.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1157*y**2 - 3753*y**2 + 1081*y**2 - 2024*y**2 + (-5*y + 3*y + 3*y)*(-2 + 2 - y) to d*y**2 + q + n*y and give d.\nAnswer: -5854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 50.61 + -49. Which is greater: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 47536732?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -69c403 - -7?\nAnswer: -69c3c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let k be (-133)\/(-3) - (-12)\/18. Let o = -45 + k. Solve o = 3*v - v - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14703 + -8710. List the prime factors of p.\nAnswer: 13, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -82 + 160. List the prime factors of t.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-1020)*-17)\/(3\/54)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*t = -5*a - 85, a + 13 = -15*t + 17*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.98 - -0.02. Let d = t + -2. Let c = -5 - d. Put -2\/15, 2, c in descending order.\nAnswer: 2, -2\/15, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d = -7*d + 494. Calculate the remainder when d is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -24 + 76. What is the remainder when v is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eight thirds of a week in hours?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 25521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 3*k + 1)*(0*k**2 - 2*k**2 + 4*k**2) - 15*k**3 + 163*k**3 - 84*k**3 in the form m*k**2 + o + h*k**3 + z*k and give h.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*q**4 + 146*q**3 - 3134*q**2 + 13102*q + 16380 = 0. What is q?\nAnswer: -91, -1, 9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -52 - 67 + 117 - 63*n to f + d*n and give d.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 6\/5 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1671671403 to the nearest integer?\nAnswer: 40886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 q, and 2 t when four letters picked without replacement from atqtiaiatqwtqqat.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.48 and -0.4?\nAnswer: 0.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3675 - 15630 = a - 586*a for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20836 - 5408*d**2 - 20836 + 5417*d**2.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 0.5899054 micrometers?\nAnswer: 0.00005899054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l + 3*b + 28, -6*l + 3*l = 5*b - 42. Suppose -4*d + 72 - 4 = 0. What is the remainder when (49\/l)\/(2\/28) is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9137126 and 527?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the second derivative of 17*p**7\/21 + 5*p**3 + p**2 - 80*p. What is the second derivative of l(u) wrt u?\nAnswer: 680*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**3 + 78*t**2 + 72*t - 381. Give x(-77).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1056781.\nAnswer: 11, 23, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2003*m + 18625 - 598. Factor -8*i - 1\/2*i**4 - 5\/2 - m*i**2 - 4*i**3.\nAnswer: -(i + 1)**3*(i + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**17)**(-1\/15) assuming j is positive.\nAnswer: j**(-17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -56305 rounded to the nearest one hundred?\nAnswer: -56300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 6*h - 6. Suppose -h*c - 2*m = -723 - 1386, 0 = 2*c + 2*m - 1406. List the prime factors of c.\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35236819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -106678, -106676, -106674, -106672, -106670, -106668?\n\"Answer: 2*v - 106680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4141301401.\nAnswer: 863, 4798727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 6 = 5*q. Suppose 0 = 2*t + q*p - 2, -p + 13 = t + 4*t. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7142 - -8796. Let q(z) = n + z**2 - 15938. Let w(x) = -158*x**2. Give q(w(j)).\nAnswer: 24964*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -422*k**3*z + 142*k**3 - 13*z + 864 wrt k.\nAnswer: -1266*k**2*z + 426*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 126541*b + 2451*b + 389376*b.\nAnswer: 518368*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22825 = -1665*y - 26155 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 32 = -65. Calculate the greatest common divisor of 429 and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes after 12:57 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-4)\/(-10))\/(8\/40). Suppose 3*i - 6 = -0. Suppose -s*w + 4 = -i. Solve -2*o - 10 = d, -w*d - 3*o + 7 = -7*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 76 by -431.\nAnswer: -76\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*m + 44 + 0*m + m**3 - 40 - m**2 as o*m + j*m**3 + h + p*m**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 43853916 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -21*q**2 - 209*q + 182. What is w(-10)?\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, 1, 3, -2, 2 in descending order.\nAnswer: 12, 3, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are 5500 and 5542 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -2*l - 5*j + 16, 12 = 3*l - 3*j. Suppose 2*m - l = 2, -40 = -4*k - 5*m. Suppose 27 = -4*w + k*w. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 26.2 and -37511.8?\nAnswer: -982809.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -j - 2*f, 5*j + 5*f = 7*f + 85. Suppose 15*l - 18 + j*l**2 - 2*l**3 - 13*l**3 + 0*l**4 + 3*l**4 = 0. Calculate l.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 68, 4, -6, -3, -4859 in ascending order.\nAnswer: -4859, -6, -3, 3, 4, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 17 = -4*s, 2*t = -0*t - 4*s + 14. Let i = 0 - t. Suppose 16 = 7*o - i*o. What is the least common multiple of o and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1.549 and -89.\nAnswer: -90.549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 3*b + 0 + 5 = 0, 0 = 3*w - b - 4. Let o(a) = 5*a**2 - a. Let y be o(w). Calculate the smallest common multiple of y\/6 - (-10)\/3 and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**3 - 2*a**2 - 3*a + 146. Give f(0).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**2 - 7*v - 10. Determine t(-4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 25 - 19. Suppose -2*d - 3*d = -35. Let g(t) = -d*t + t**2 - l*t + 13*t. Let s(u) = -7*u. Determine s(g(f)).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (-5 - -8)*15\/9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) 486  (c) 0.1368\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 56617 + -9341842\/165. Let n = -2\/15 - r. Suppose 3*i = -j - 0*j - 4, -2*i + 16 = -4*j. Which is smaller: n or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1484549149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-96)\/10)\/(67\/(-1005)). Let n be ((-96)\/z)\/(128\/(-63) + 2). Is 20 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2010 (base 7) to base 4\nAnswer: -22311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (10 - 10 - 6*y)*(-5 + 4 - 1)*(-6 - 3 + 5)*(-25 + 25 + 58*y) as v + k*y**2 + o*y and give k.\nAnswer: -2784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.7737 - 0.0263. Which is the nearest to -9?  (a) -3\/5  (b) 2\/21  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 8 + 2 - (5 - 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.15 - -0.146. Let y = k - 0.496. Which is the fourth smallest value?  (a) -4  (b) y  (c) 0.5  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the first derivative of i**5\/35 - i**4\/3 - 16*i**3\/21 - 229*i + 114. Let l(z) be the first derivative of o(z). Suppose l(s) = 0. What is s?\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -8 + 3 + 6 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 4*z - 46 - 5 = 0, 5*i + 59 = -4*z. Let o = 18 + i. Let r = 19 - o. Calculate the remainder when 23 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -336, -361, -400, -453, -520, -601?\nAnswer: -696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -833610553*y**2 + 15024193*y + 12 wrt y?\nAnswer: -1667221106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1330, 7602, 18066, 32728, 51594?\nAnswer: 74670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 82822219 at least 82822230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7961, 2, 0, 38, 4 in ascending order.\nAnswer: 0, 2, 4, 38, 7961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -3531, -1824, -115, 1596?\n\"Answer: q**2 + 1704*q - 5236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(500) + (0 + sqrt(500) + sqrt(500) + 2 - sqrt(500)))*-5 - -1*(-3 + 0 + 2 + sqrt(500)))**2.\nAnswer: 49980*sqrt(5) + 1302901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(-6) - (-2820)\/18. Suppose -2*u - 30 = -y, 2*y = 7*y - 3*u - l. Solve -1 + 8*w**3 + 9 + y*w**2 - 8*w**4 + 12*w + 16*w - 4*w**5 = 0 for w.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12186145 is divided by 114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-184002)\/(-106155)*5\/(-3).\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 4*v - 5 - 2 - 5*v - v. Let j = 50 + -56. Let x be i(j). Solve 4*d - 5*m = -4, x*d - 2*m + 6 - 18 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 815880.1 hours to nanoseconds.\nAnswer: 2937168360000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3968\/320*4\/(-72) - (-3 + (-36)\/(-15)).\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 29*g - 3. Let h be m(1). Let c = h + -4. What is the remainder when 43 is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1077 is divided by 77.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**9*x*x\/x**(2\/21))**1 assuming x is positive.\nAnswer: x**(229\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16\/((-56)\/(-7))*2\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**2 + 52*g - 450. Let p be n(-59). Sort 2, p, -8 in increasing order.\nAnswer: p, -8, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.66 - 27.66. Let j = 1990676.00046 + -1990703. Let o = j - h. What is o rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 21*s. Let r(m) = -11960*m. Calculate r(j(d)).\nAnswer: -251160*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(832)*2 + -2)*2)**2*-5.\nAnswer: -66580 + 640*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 42 and 15?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 29.5 and 16?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 53412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -89371, 0, -9, 1 in increasing order.\nAnswer: -89371, -9, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -17981.8 to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(1100)*2.\nAnswer: 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -44*b + 33*b. Put 4, b, 26 in ascending order.\nAnswer: b, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10791.9*-0.18\nAnswer: 1942.542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9730980 and 84?\nAnswer: 9730980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/(-6)*-1*0. Suppose 2*c + 32 = -5*h, r = -2*c + 5*h + 4 + 4. What is the remainder when 40 is divided by (2\/(-5))\/(c\/210)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -24 + 28. Solve 4*k + x - 1 = 0, -2*x + 0 - o = 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the third derivative of -s**4\/24 - s**3 + 2*s**2. What is l(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-1))**(9\/11)\/((d\/(d*d**(-7)))\/(d*d**(-6)*d*d)) assuming d is positive.\nAnswer: d**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -11 + -2 - (-2 + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((-1*sqrt(162)*-3)\/sqrt(9))\/(5*-3*sqrt(216)).\nAnswer: -3 - sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 374715 and 4345?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16*(-2)\/(-4) - -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 81\/431546 and 5\/13592.\nAnswer: 1726184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -251*a - 343*a - 652*a = -56181 - 27301 for a.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, k: 2, i: 7}. What is prob of sequence ik?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/1012 and 25\/18?\nAnswer: 9108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -3*g**2 - 2*g + 2. Let h be s(1). Let v be (0 - h)*100\/(-30). Is -12 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 102 and 46131.\nAnswer: 1568454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 22*b. Let d(o) = -91*o + 3. Give l(d(t)).\nAnswer: -2002*t + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*d + 16*d + 44199 = k, 3*d + k - 66300 = 0. What are the prime factors of d?\nAnswer: 3, 53, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes after 11:48 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(272)*4*5*3 - (-3 + (sqrt(272) + 0)*3 + -5))**2.\nAnswer: -19392*sqrt(17) + 24972112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2102 is divided by 1973.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06 less than 7428.1?\nAnswer: 7428.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2228765 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b - 0 + 30. What is the common denominator of -50\/7 and 2 - (-42)\/b - -2?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (7 - 1)*(-1)\/(-3). Let h be 798\/30 + i\/5. Let p = 50 - h. Solve m = -f - 4*m - p, 3*m = -4*f - 24 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2490134079 to the nearest integer?\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 39484665\/42*(-1)\/6. Let u = a + 156655. Let q = -119\/4 - u. Is q greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-33)\/132 + 15*(-2)\/8. Put 40, z, -2, 4 in decreasing order.\nAnswer: 40, 4, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -3*b - 8. Let d = b - -7. Is (-52 - 6\/(-2))\/d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -10  (b) 32  (c) -119\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 - -4. Let y(k) be the second derivative of 0*k**2 + 0 + 1\/3*k**b + 1\/12*k**4 - k. What is the second derivative of y(u) wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -5*m**2 + 105*m - 181. Let w be h(-32). What is w rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 4*d + 2. Let k(f) = -5*f**2 - 11*f - 7. Let p(c) = c**2 + c + 1. Let r(o) = d*k(o) + 4*p(o). Let j be (-2)\/9 + 172\/(-36). What is r(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(136) - sqrt(136)*-4)*-3*2*-3)\/(sqrt(16)\/(sqrt(50)*-2)*-1).\nAnswer: 900*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyyyzyyzyzyyzzyy. Give prob of sequence zyyy.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 373\/9 - 41. What is the nearest to 1 in s, 5, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 13, 4\/3, -4.1866?\nAnswer: -4.1866","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2816432\/52041 - 3083\/57. Calculate the common denominator of 49\/166 and p.\nAnswer: 1826","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-2))\/(1\/(4 - 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -64398 not equal to -12165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:05 PM and 7:58 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52 + 16 = -6*o. Find the third derivative of 9*c - 44*c**2 - 581*c**o + 2*c**3 + 613*c**6 - 7*c wrt c.\nAnswer: 3840*c**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 42 and 134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 103.0181 centuries?\nAnswer: 1030.181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - h + 43 = 0, -106 = 2*y + 2*y + 2*h. Let n = y - -115. Is 2198\/n - 2\/13 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12 - -10. Calculate the common denominator of 4\/6*258\/32 and 3\/o*124\/12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*t + 6*t**4 - 4*t**4 + 31*t**3 - 28*t**3 - t**2 wrt t.\nAnswer: 48*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 90 = -2*k. Calculate the common denominator of ((-186)\/8)\/(k\/(-20)) and -77\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 52\/15 + -14\/5. What is the closest to s in -2, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2835, 2826, 2811, 2790, 2763, 2730?\n\"Answer: -3*c**2 + 2838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1513953.7 plus -62.8?\nAnswer: -1514016.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**2 - 8*j - 5. Let d be m(-7). Let q be ((-6)\/6 - -10) + 2 + -1. Factor u + 6 - 4*u + 3*u**2 + q*u + d*u.\nAnswer: 3*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:08 AM and 12:04 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -95221 by 223.\nAnswer: -427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -26125*o**5 - 53*o**4 - 6*o**2 + 1319598*o wrt o?\nAnswer: -1567500*o**2 - 1272*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p**5 + p**5 + p**5)*((3 + 0 - 1)*(-1 - 3 + 2) - 245 - 101 - 394).\nAnswer: -1488*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11843553 is divided by 2072?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3688 or -918158\/249?\nAnswer: -918158\/249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -2*b**2\/5 + 2*b - 8\/5 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -48 - -48. Let x(f) = -f**3 - f + 5. Let h be x(0). Let s be (30\/(-8))\/((-3)\/8). Solve h*n + s = -u*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0*1*(0 - -1). Let i(h) = -h**2 - 8*h - 7. Let y be i(-5). Let s be 13\/3 - y\/(-12). Solve 5*o - s = 0, -5*m + 0*o + 4*o + 21 = w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 211*c**2 - 11*c + 24. Is n(3) a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000458 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.3  (b) -3  (c) 2  (d) -19  (e) 1\/199\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**3 - 4*b**2 + 4*b - 6. Let z = -10 + 62. Let p be z\/(-12) + 2\/(-3). Let h be d(p). Is h at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -258 - -1028. Let z = -770.0000929 + p. What is z rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 21 = 5*v - 2, 5*q - 20 = -5*v. Suppose 420 = -a + v*a. Let f be (-2191)\/735*-5 + (-6)\/(-63). What is the greatest common divisor of f and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6222 or 4479?\nAnswer: 4479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 102133642 (base 7) in base 5?\nAnswer: 3020303322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, y: 4, p: 2, c: 8, d: 1}. What is prob of sequence pc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 28, 70, 126, 202, 304, 438, 610, 826?\nAnswer: 1092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/(-8) - 1463\/(-28). Suppose m - 2*l = -m + 36, -5*m + 75 = -2*l. Calculate the greatest common factor of p and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3151.6 and -14.\nAnswer: 44122.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 14517067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -529, -4705, -16051, -38155, -74605, -128989, -204895, -305911?\nAnswer: -435625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8211 and 326991?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18*s**3 + 0*s**3 - s**3)*(s**2 + s**2 + s**2).\nAnswer: 51*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 2*k - k - 386 + 30 - 27 - 34. Let f(x) = -x. Give f(i(n)).\nAnswer: -n + 417","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -81433.739 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 459\/4437 + (-28337)\/8729?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 131.32 + -4511206.\nAnswer: -4511074.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -81*b**4 + 29721*b**3 + 1288482*b**2 + 13282080*b + 976800 = 0.\nAnswer: -20, -2\/27, 407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 + 3. Suppose -3*y = -g*y. Which is smaller: y or 6\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 265 and 106530.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 341269232.\nAnswer: 2, 701, 30427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + -22001001?\nAnswer: -22001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -22780772*w**3 + 7808730*w wrt w.\nAnswer: -136684632*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and -72?\nAnswer: 21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/89009628 and -9\/44.\nAnswer: 979105908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 193.9379 decades in centuries?\nAnswer: 19.39379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*y = 28*y - 440. List the prime factors of y\/1*(-9)\/(-12).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 13848589*q**3*u**2 + 7*q**3*u + 745*q**3 - 13*q**2 - 16*q*u + 2*u - 2 wrt u.\nAnswer: 27697178*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*y + 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -48 - -50. Let n be 2\/5 + 13\/5. Suppose -5*c + 3*c + 12 = n*a, a = 4*c + 4. Solve 0 = -i - c*i + b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*f**2 + 6*f**2 + 16*f**2 + 19*f**2.\nAnswer: 30*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sum 2947803769402 and 0.1.\nAnswer: 2947803769402.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -2\/3  (b) -0.2  (c) -286  (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -265242 + 96475 - 90865 = 1269*c - 3673*c for c.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -98*h**2. Let j(u) = 39459*u. What is a(j(w))?\nAnswer: -152587242738*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 431252 to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in thirty-one halves of a meter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2270*u**2 - 26*u - 2.\nAnswer: -4540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 21 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1, 2433.\nAnswer: -5, 1, 2433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -10767*p - 277. Is j(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 21 + 15 - 3*v - 29 as w + u*v and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 62 - 10. What is the greatest common divisor of 26 and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 2 w when four letters picked without replacement from {w: 6, a: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 49?  (a) -0.4  (b) -4  (c) 2\/11  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -4724.1786 rounded to the nearest integer?\nAnswer: -4724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12 + 12. Let n = -0.02 + 4.02. Sort u, 3, n.\nAnswer: u, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -aab + 75?\nAnswer: -a36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 10 = 2*v, 2*i - i = -5. Let m = -1.586 - -1.736. Which is the third smallest value?  (a) v  (b) m  (c) -2\/5  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + 25 = 4*w - p, -2*p - 10 = 0. Solve 0 = l + m - 3, w*l - 3*m = -0*l + 23 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hqh. Give prob of sequence qh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of -986 and -1.5.\nAnswer: 1479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**3 + 5*n**2 + 5*n + 1. Let a be i(-2). Let l(d) = -d + 8. Let m be l(4). Solve a*y - 5 = m*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 0*h = 5*m - 18, -m - 6 = 3*h. Let z = 6 - m. Solve -3*o - 5*g + 5 = z, 1 = o - 0*o + g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 211495?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 277?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0, -2, -51, -3, -445.\nAnswer: -445, -51, -3, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7 - -6. Let g be (o - -4) + (-4)\/(-4). Are 21\/5 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the first derivative of 3\/2*x**2 + 2\/3*x**3 + 6 + 0*x. What is the second derivative of j(q) wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.03909445 to five dps.\nAnswer: 0.03909","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 3, q: 3, l: 1}. What is prob of picking 3 q and 1 p?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the third derivative of -1\/24*t**4 + 26*t**2 - 1\/105*t**7 + 0*t + 3 + 0*t**3 + 0*t**5 - 1\/15*t**6. What is the second derivative of o(s) wrt s?\nAnswer: -24*s**2 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the first derivative of l**6\/900 - 7*l**5\/300 - 2*l**4\/15 + 4*l**3 + 28. Let m(x) be the third derivative of c(x). Let m(r) = 0. What is r?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 37 + 4 + -5 - (-9 + 32)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -84, 28, 1, -3, -4 in descending order.\nAnswer: 28, 1, -3, -4, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -52 plus 47197?\nAnswer: 47145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 + -10. Suppose -4*h - 4*k + 28 = 0, -g*h - k = -h - 13. Let w be (-1)\/(h\/9)*-1. Solve -3*l = w*i + 15, 0 = -0*i + 2*i + 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3997926 and 27.\nAnswer: 11993778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 5*d**2 - 149*d + 255. Let m be u(28). Solve 0 = -a, m*c + 8 = 2*a - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8428, -8413, -8398, -8383, -8368, -8353?\nAnswer: -8338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60*a + 23*a + 5353 = -18*a for a.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2.1 and -0.56.\nAnswer: 1.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -i**3*k*y**2 + 36*i**3*y - 22*i**2 + 3*k*y**2 - y**2 wrt i?\nAnswer: -6*k*y**2 + 216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -6*u**2 - 2*u - 6. Let q(l) = 16*l**2 + 6*l + 7. Let o(k) = 61*k**2 + 23*k + 28. Let c(x) = 3*o(x) - 11*q(x). Calculate 4*c(r) + 5*g(r).\nAnswer: -2*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**2 + 7*z - 4. Let c = -1 + 7. What is the units digit of l(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 0*d - 28 + 7 + 14 + 4*d**2 + 8*d. Let p be l(-3). Solve p*c = 6*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19275 divided by -3855.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 2*k - 5 = 0, -4*t - 4*k + 14 = 30. Let o(d) = d - 2. Calculate o(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2 - -4)\/(2\/119). Suppose h + 4 - 248 = 46*c, -3*h + 17 = 5*c. Put f, c, 5 in ascending order.\nAnswer: c, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 374a (base 13) to base 7\nAnswer: 31563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1755926482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 81037 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -4*v - 14. Suppose 3*k - 3 = 0, -4*k = -6*z + z - 39. What are the prime factors of f(z)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 268*n - 1368. Is h(23) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 14*j. Let x(h) = -8*h**2 + 30*h**2 - 7*h**2 - 13*h**2. Determine x(g(q)).\nAnswer: 392*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the second derivative of j**3\/6 + 2*j**2 - 8*j + 309. Let r(u) = -2 + 0*u - u - 5. Let t(a) = a - 8. Let k be t(11). Determine k*r(x) + 5*i(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-8)*-18*(-8)\/(-12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 6 = a. Suppose 0 = -0*m - a*m. Suppose m = w - 4*w + 6. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 11*v - 1144 = -120. What is the highest common divisor of v and 3032?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21106 + 20122 = 48*h - 7*h for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 6 = -3*z, -2*g + 0*z = -5*z + 10. Suppose -48 = -15*d - d. Solve -d*b + 4 = -5*a + 5, 3*b + 6 = g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 84*b**3 + b**2 - 5*b + 4. Determine w(1).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 24 and 1128.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1489, -2, -2\/19, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 264250589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (5\/(-15))\/((-2)\/18). Suppose 3*r - 24 - i = 0. What is the remainder when r is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -1\/6, 630, -2\/31, -3\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -24, 3, -0.3 in decreasing order.\nAnswer: 3, -0.3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 times 413.2?\nAnswer: 7437.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 551 is divided by 42?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5999\/4002 + 2\/2001. Let j(l) be the second derivative of 4\/3*l**3 - c*l**2 - 1\/12*l**4 + 0 + 5*l. Give j(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0615 plus -0.2?\nAnswer: -0.1385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - -5. Let q(b) = -4*b - 4. Let g(w) = 7*w + 7. Let a(k) = 3*g(k) + 5*q(k). Let m be a(o). Which is bigger: m or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 + 2\/(-4))*-2. Let n be y - (-3 - -1 - 1). Solve 0*q = -n*q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -771409 + 1542806 + 9*f**3 - 771397.\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 4\/3*10\/60\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*c = 20*c - 2. Let w(t) = t**2 + 8*t - 5. Let m(i) = -5*i**2 - 32*i + 20. Let j(g) = c*m(g) - 9*w(g). Calculate j(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times -0.01\nAnswer: -0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - 5 - 0 - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13.713 - 14.3. Let u = v + 3.957. What is u rounded to 1 dp?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the third derivative of -1\/30*h**5 + 0*h**4 + 0*h**3 + 2*h**2 + 0*h - 2. Let f(i) be the first derivative of 3*i**2\/2 + 1. What is f(u(m))?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*j + 12 = 19*j + 4*z, 3*j + 3*z + 9 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1020 + -2353212?\nAnswer: -2354232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14\/3*u**4 - 150\/7 + 108*u**3 - 4448\/21*u**2 + 844\/7*u = 0. What is u?\nAnswer: -25, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1658 - -1658.0001069. Round a to six decimal places.\nAnswer: 0.000107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14020332 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 38.61582ng in tonnes?\nAnswer: 0.00000000000003861582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 + 12)*(6\/(-12) + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {e: 13, h: 6}?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19, 35, 59, 91, 131, 179?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -31 + 100312111?\nAnswer: 100312020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z**2\/2 + 419*z\/2 - 8931 = 0. What is z?\nAnswer: -458, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11397 + -3234. Suppose c - 2 = 3. Suppose -y = -4*k - c*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 21*q - 16*q + 3428 = 0, -x - q + 3440 = 0. What is the greatest common divisor of x and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1\/5)*h\/(h\/(h*h*(h\/((h*(h*h*h**(-2\/11))\/h*h*h*h)\/h))\/h)))\/(h**(-6\/11)\/h**(-2\/19)) assuming h is positive.\nAnswer: h**(-1649\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9 + 15. What is the tens digit of j\/9 - 74\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 234*m - 238*m = -64 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 2*s**2 + 4*s + 7. Let q be a(0). Solve -x - q + 4 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(605)*2*-2 + 1*(sqrt(605) + 0 + sqrt(605)) - (3*-1*sqrt(605) + (sqrt(605) - (-1 + sqrt(605)))*-5))*-1*3)**2.\nAnswer: 8910*sqrt(5) + 51030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3*(-3 - (-48)\/9). Let w be 0\/3 + 0\/1. Let t(z) = z**2. Let q be t(w). Solve 4*g + 0 + f = -s, -2*g - 6 = q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.5 minus -34538?\nAnswer: 34540.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.2844 - -0.0844. Let d(z) be the second derivative of -z**4\/12 - 3*z**3\/2 - 4*z**2 + 5*z. Let c be d(-8). What is the closest to 0.1 in c, 5, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*l - 14*l + 21*l + (1 + 1 - 1)*(2*l + 0*l + l) to the form c + x*l and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -110*((-2)\/(-3) - (-48)\/90). What is the common denominator of (6\/4)\/(v\/121) and 49\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32673 + 32673 + 3*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 17539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the first derivative of -103*q + 1\/4*q**4 - 53\/3*q**3 + 0*q**2 - 48. What is the derivative of h(v) wrt v?\nAnswer: 3*v**2 - 106*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*s - 10*s = -24. Let c = -5 - s. Let 0*p**3 + 8*p**5 + 8*p - 8*p**c - 2 - 2*p**4 + 4*p**2 - 8*p**3 = 0. What is p?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 89.64298l?\nAnswer: 89642.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5\/3?  (a) -3  (b) 2430  (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**3 + c**2. Let k be d(-2). Suppose -l = l. Let a(u) = 5 - 5 + u + l. Calculate a(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 122, 731, 1826, 3407, 5474?\nAnswer: 8027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -26510429*q**4 + 5354414 wrt q.\nAnswer: -106041716*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1037*m**3 - 9 + 3103*m**3 - 1030*m**3 - 1038*m**3.\nAnswer: -2*m**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/36 - ((-39856)\/2016)\/53. What is the fourth smallest value in 2\/13, -209, -0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 87 - 15 = 0. Find the common denominator of 2 - (-3)\/k - 2 and (118\/12)\/(10\/15).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1906821811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes after 12:32 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 798 < 713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -34 + 55. Let y = -14 + i. Suppose y*b - 45 = 4*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrrlgrlggjrlrgrrgg. Give prob of picking 1 r and 1 j.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 240600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 614 - 609. Suppose 495 = c - j, 10*c - d*c + 5*j - 2525 = 0. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*j**2 + 195 - 12*j**2 + 22*j**2.\nAnswer: -j**2 + 195","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d - 3*c + 19, c = 5*d + 2*c - 13. Suppose -f = d*i - 212, f = 6*f - 20. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**2 - g + 1. Let w = 25 - 22. Let b(c) = 0*c + 5 - 4*c**2 - 2*c - c. Calculate w*m(i) - b(i).\nAnswer: i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1 + (23 - 31)*386\/(-4). Let n = d - 733. Calculate the lowest common multiple of n and 42.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 6, 0, -71, -1.\nAnswer: -71, -1, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 182128691\/825 + -220762. Calculate the common denominator of a and 32\/363.\nAnswer: 9075","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -200513042 (base 6) in base 16?\nAnswer: -33e192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3420.18558s in weeks?\nAnswer: 0.00565506875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/57, 3\/7, -3\/2, 3 in increasing order.\nAnswer: -3\/2, 1\/57, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**2 - o + 1. Let m(k) = 46*k**2 - 3*k + 2. What is m(c) - 3*u(c)?\nAnswer: 49*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7302, 7301, 7300, 7299, 7298?\nAnswer: 7297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 63*z**3 + 4 - 1 + 57*z**3.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 2*l = -2. Suppose -l*i + 11 = 3. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 105189525 and -0.6512.\nAnswer: 105189524.3488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -159, -282, -405, -528, -651?\n\"Answer: -123*l - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 0.14, -2\/5, 37, 0, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -31*u - 18. Let y(c) = -15*c - 8. Let n(l) = 4*s(l) - 9*y(l). Let w(p) = 19*p. What is n(w(b))?\nAnswer: 209*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*h + 3*i, 3*h - 41 + 39 = -4*i. Solve -4*z + h*d - 10 - 2 = 0, -z + 5*d = 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -67 + a9?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 9 divided by -11\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2316443 - 2315663 = -78*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -131 + 11344?\nAnswer: 11213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1544.427108 nanoseconds in weeks?\nAnswer: 0.00000000000255361625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**4. Let n(q) be the first derivative of -42*q**5\/5 + 33*q**4\/4 + 2*q**3 - 25. Let c(y) = n(y) + 3*r(y). Factor c(m).\nAnswer: -3*m**2*(m - 1)*(13*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4412112607 to the nearest integer?\nAnswer: 1640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-22\/3)*o)\/o*o**11)**(-4) assuming o is positive.\nAnswer: o**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5205 + -67625\/13. Let o = r - -10\/39. Factor -2\/3*l**2 - 8\/3 - o*l.\nAnswer: -2*(l + 1)*(l + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.063, 1\/7, -2389, -1 in descending order.\nAnswer: 1\/7, -0.063, -1, -2389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 6\/1372547 and 91\/998216.\nAnswer: 10980376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 44 + -38. Suppose -x*z + 8*z = 10. Solve -m = -2 + z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 3*a. Suppose 82 = 2*b - 4*i - a*i, b - 5*i - 53 = 0. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 268*d + 244. Give t(-4).\nAnswer: -828","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6938 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/1245570 and -133\/9134180?\nAnswer: 27402540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7748 and 206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 16 + -15.3. Let w = -11.2 - -11. Which is the biggest value?  (a) k  (b) w  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 110 + 5 = 0. Suppose -z = 4*k - 9*k. Calculate the remainder when k is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 525883453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-4) + 25\/250.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -15*a**3*h*n**2*v - 3*a**3*h*n**2 - a**2*h*n**2*v - 2*a**2*h*n - 14*a**2*n*v - 2*h*n**2 wrt a?\nAnswer: -90*h*n**2*v - 18*h*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -37117 + 37169.8536. Let o = -12.8451 + j. Let b = -40 + o. What is b rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 52497036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-6)\/(-5))\/(4\/10). Solve n*a + a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(3\/4)*m*m\/(m**(1\/3)\/m))\/(m**1*m**(2\/9)) assuming m is positive.\nAnswer: m**(79\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 80*j**4*u**3 + 12*j**4 + 13*j**3 + 2*j**2*u**2 + j**2*u - 183*j*u**3 + 2*u**3 wrt j.\nAnswer: 1920*j*u**3 + 288*j + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*p + 2*h, 0*h = -p + 2*h + 11. Suppose 5*r - 2*q + q = 153, 5*r + p*q = 135. Calculate the highest common divisor of 310 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 463 + -433. Suppose p = 3 + 1. Let i(m) = 2*m**2 - 6*m + 2. Let l be i(p). Solve 4*h + 2*j = -q, 3*h = 3*j - 2*j - l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1462795*g**4 - 1740364.\nAnswer: 5851180*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-25)\/(-20)*1*-28. Let t = -24 - b. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*s + 15*s + 40 = 0. Suppose 0 = -s*f + 56178 - 4586. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*w - 6 = 84. Let i be (-762)\/(-9) + w\/9. Calculate the highest common factor of i and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -843 - -843.4. What is the second smallest value in -3.7, 2, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.3250992619 to five dps.\nAnswer: 0.3251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 7*x + 90. Let n(m) = -10*m - 136. Give 5*n(h) + 7*v(h).\nAnswer: -h - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13 - -18. Let k(n) = 6*n**4 + 8*n**2 + 4 - a*n**4 - 9*n**2 - 6*n + 6*n**3. Let f(b) = -6*b**3 + 6*b - 3. Let o(g) = -4*f(g) - 3*k(g). Factor o(s).\nAnswer: -3*s*(s - 2)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**2 - u + 5. Let n be a(-4). Let p = -40 - n. Let i = p - -68. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 544?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 plus -36.5?\nAnswer: -36.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 18.8219 - 19.24. Round d to 2 dps.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11111276 by 584804.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 2*m + 5. Let g be p(0). Suppose 0 = 2*r + 3*d - 35, 2*r - g*d + 0 = -5. What is the smallest common multiple of 6 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i + 15 = -3*o, -203*i + 16 + 696 - 20 = 4*o + 41*i for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) 1  (b) 3  (c) -1\/7  (d) 1228  (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 19062, 75375, 169222, 300597, 469494, 675907, 919830, 1201257?\n\"Answer: -a**3 + 18773*a**2 + a + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11.0353 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000004623 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (16\/18)\/((-24)\/(-18))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 16.13*44\nAnswer: 709.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.3 - 0.7. Let c = -2433 - -2431. Let g = 36.15 - 36. What is the nearest to g in -5, c, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-18)\/(-139))\/3*-1. Let y = 997\/556 + j. Let s = 5\/23 + -63\/184. Which is the second biggest value?  (a) 2  (b) y  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*j**2 + 3*j**4 - 11*j**2 - 4*j**4 + (-3*j + 2*j + 3*j)*(-1 - 2*j**3 + 1).\nAnswer: -5*j**4 - 5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/28  (b) 0  (c) -0.5  (d) -1\/613  (e) 1  (f) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 5*j - 6, t + 4 = 3*j - 3. Solve s + 3*s = -8, 4*l = -3*s - j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 897 - 639. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9.5 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, 3, -0.626031, 0.06 in decreasing order.\nAnswer: 3, 2\/3, 0.06, -0.626031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 2 - x - 3 + 5*x. What is y(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -650*h**2 + 650*h**2 + 25*h**3 - 31*h**3.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8475.\nAnswer: 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -71\/4736 + 389353\/7648640. Calculate the common denominator of d and -61\/6.\nAnswer: 9690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 20, 47, 74, 101, 128?\n\"Answer: 27*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -61.883 + 62. Let m = d + -0.687. Let r = -0.17 - m. What is the biggest value in -2\/11, -3, r, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 539, 1080, 1621, 2162?\n\"Answer: 541*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -59 + 64. Suppose -y = -97 - o. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 111 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m - 12 = -5*f, -42 = 5*m + 24*f - 36 - 83 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = k - 20, -3*a - a + 3*k = -16. Let l = 8 + -8. Suppose 4*w = 0, l*h - 3*h - 3*w = 0. Solve a = u - h*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -969, -1981, -3013, -4077, -5185, -6349?\n\"Answer: -2*l**3 + 2*l**2 - 1004*l + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, 1.7, 3, 0.6?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 103 + -94. Suppose -12*x**2 + 0*x**5 - 3*x + 3*x**4 + 12 - 3*x**5 - 3*x**2 + 15*x**3 - t*x = 0. What is x?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (y - 3*y + y)*(-3*y**2 + 4*y**2 - 3*y**2) + 45*y**3 - 956*y**3 - 61*y**3 to the form h*y + r*y**2 + s*y**3 + f and give s.\nAnswer: -970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kooffkfkokkkkokk. Give prob of sequence okff.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is seven sixths of a hour in seconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -83 + 85. Let k(y) = 16*y**2 - y**2 - 13*y**q. Let v(m) = -62*m**2. Calculate v(k(r)).\nAnswer: -248*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + r + 117 = 0. Suppose g = -j + 5, 3*j - 12 = -g - 3. Suppose b + g = o - b, -5*o = -2*b - r. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1.9  (b) -460  (c) -627\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0579 - -13.9?\nAnswer: 13.8421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -3071, -2579, -2087?\n\"Answer: 492*n - 3563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w**3 - 8*w**2 - 14*w - 40. Let c be q(-7). Suppose -c*m + 1799 = -2305. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes before 12:48 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/9  (b) 5  (c) -1  (d) -577.03  (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wyhy when four letters picked without replacement from {i: 2, y: 11, h: 1, w: 4, l: 1}.\nAnswer: 55\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 2*g = 6. Suppose 3 = -w - 4*b + g*b, 5*w = 3*b + 24. Solve 4 = -w*x - l, -3*x + 0*l + 1 = 2*l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 209655 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 6a (base 14) to base 16\nAnswer: 5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 18009655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 35344103?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4928537689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-37466)\/13)\/(-11)*(-62)\/(-4). Calculate the greatest common divisor of p and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -264089 or -264043?\nAnswer: -264089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3836.\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -549*p + 13892 = -13558 for p.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-3))\/((-2)\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 119.8 to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9.95 - -10. Let i = -0.9 + 0.4. Which is the nearest to 0?  (a) w  (b) 1\/5  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -250, -915, -1998, -3493, -5394?\nAnswer: -7695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2\/(-8))\/((-2)\/(-8)). Let q = 9 - 5. Is (x - -5)\/(q\/38) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p + 2 = s, 4*p + 3*s + 4 = -0*s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dr when two letters picked without replacement from cfcsfdrfdsdcddfcd?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:55 AM and 4:59 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w + 646 - 658 = -4*k, 4*w = -3*k + 20 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (42\/6)\/((-2)\/(-2)) + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1111110010 - -11001?\nAnswer: 10000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes before 6:49 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -3*r**2 - 31*r - 332. Calculate m(0).\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 972960 = -30*k - 22*k. What are the prime factors of k?\nAnswer: 2, 5, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 112\/(-12 - -28) + 1*-8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 689 divide 1980135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - s = -28. Let k = 4 + s. Suppose 3*f - k = -5*b + 31, f - 22 = -3*b. Calculate the highest common factor of b and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the second derivative of l**8\/576 - 13*l**7\/2520 + l**5\/90 - l**4\/12 + 4*l. Let j(f) be the third derivative of q(f). Factor j(k).\nAnswer: (k - 1)*(5*k - 2)*(7*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from owwwwwwwwwwwwwwwwwww. What is prob of sequence wow?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:41 AM and 10:09 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.51, 6, -10, -4, 0.129, -0.4?\nAnswer: 0.129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uuhh when four letters picked without replacement from {l: 7, h: 1, u: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 10) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 126\/336 - (-2557)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21 + 1 + (-30 - -24) - -1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 5 + 2*q - q**2 + q - q. Let y be 2\/(0 + 4\/10). Calculate u(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*s = 15 + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 24 - 17. Suppose 15*g - 14*g - 4 = 0. Solve g*r - k = 9 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 3, q: 5, c: 2, p: 5, j: 1, u: 4}. Give prob of sequence qqq.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -5*x + 26 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(896)*1)\/(sqrt(2) + -6*-1*sqrt(2)) + (-6*sqrt(252) - ((sqrt(7) + 1)*1)**2).\nAnswer: -258*sqrt(7)\/7 - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**2 + 30. Let w be o(5). Calculate the highest common factor of w and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -41*o - 121. Give l(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8112, 11336, 14560, 17784, 21008?\nAnswer: 24232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 243.8*-22\nAnswer: -5363.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101.36 meters to millimeters.\nAnswer: 101360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1 + 7 + -13 + 2 + 3. Let i(r) be the second derivative of -15*r - 1\/4*r**4 + 0*r**3 + 0*r**2 + n. Let d(s) = s**2. Give i(d(c)).\nAnswer: -3*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 5*l**3 + 5*l**2 - 13*l + 43. Is c(6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**3 - 3*r**2 - 3*r + 4. Let d be m(4). Suppose -d + 33 = 5*w. Calculate the smallest common multiple of (0 + 3)*1 + 1 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 98057, 98056, 98055, 98054, 98053?\nAnswer: 98052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = -3*b + 9*c - 4*c, 2*c - 7 = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w - 3*l + 20 = 0, w - 2*w + 22 = 5*l for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**3 - b. Let h(q) = -285*q + 16 + 282*q + 21 - 16*q**3. Let n(c) = h(c) - 3*i(c). What is the first derivative of n(p) wrt p?\nAnswer: -39*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 223*v**3 + 2*v**2 - 5*v + 59. Let x(f) = -111*f**3 - f**2 + 3*f - 29. Let o(b) = 3*c(b) + 5*x(b). Find the third derivative of o(y) wrt y.\nAnswer: 684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the first derivative of c**4\/4 + 2*c**3 + 13*c**2\/2 + 25*c + 57. What is the smallest common multiple of 20 and k(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*t**2 + 16*t + t + 0*t + 2*t**2.\nAnswer: -t**2 + 17*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 6300 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -18*r. Let h(a) = 13014*a. Determine s(h(j)).\nAnswer: -234252*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 7 = -1. Suppose 3*n + m*n - 35 = 0. What is the highest common factor of 77 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 320 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -147 + 147. Solve 4*y + 0*h - 2*h = d, 2*y = 3*h - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24192 and 77868.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let p = 118 + -114. Suppose 3*d + 727 = 2*h - 0*d, h - 391 = -p*d. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 divided by 6402?\nAnswer: -7\/6402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 1 = -q, 3*w - 4*q = -1 - 1. Let y be 1\/1 - (-10)\/(-7). Let p = -577726 + 577721. What is the nearest to 1 in p, w, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2607917*o**2*q**3 - 1981802*o**2 - 3*o wrt q.\nAnswer: -7823751*o**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000116918937 to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - p = 2*m + 2, -2*m - 4 = 2*p. Suppose -w + 12 = 3*w, m = 5*u + 2*w - 86. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4500997901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 535 and 425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -11520 divided by -576\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence axt when three letters picked without replacement from {a: 6, x: 7, t: 5, f: 1}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -300, -291, -282, -273, -264?\n\"Answer: 9*a - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**3 + 5*f**2 - 5*f + 6. Let w be k(4). Suppose -10 = -w*s + 8. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-34)\/(-357))\/(338\/110 + -3) and -1\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*q**2 + 1008*q - 4*q**2 + 56*q**2 - 20*q**2.\nAnswer: 80*q**2 + 1008*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3124 + 0.015.\nAnswer: -3123.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m + 11*m = 0. Suppose 5*b = -14 - 11. Let v = 51 + -64. Put m, b, v in decreasing order.\nAnswer: m, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.4 - 1.53. Let b = 2.01 + -2. Let v = w - b. What is v rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -3*(-4 - 940\/75). Let a = -50 + o. Let z be 27\/(-4) + (-1)\/4. Is a <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*x + 4*x + x + 4*x - x - x + (0 + 2 - 4)*(0*x - 2*x + x) - 1 + 1 + 2*x - 3*x + 0*x + x + 5*x - x - 3*x - 3 + 3 - 233*x.\nAnswer: -226*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*f - 8*u + 4*u - 16, 0 = -3*f - 2*u - 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*n - 4*n = 15*n - 104 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 2 = 2*o, o + 5*l = 5 + 24. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -149 divided by -81.\nAnswer: 149\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hhhchhhhhhhchhhhhhch?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - -56 - (2760 - 2682).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -232 divided by 51?\nAnswer: -232\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 106*t - 54*t + 1 + 99*t.\nAnswer: 151*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*r - 69*n = 16*r - 64*n - 60, -791 = -2*r - 89*n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y**4 + 21540*y**3 + 1771644*y**2 - 3607892*y + 1814712 = 0.\nAnswer: -83, 1, 5466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 40, -4, 34, -5, 2 in decreasing order.\nAnswer: 40, 34, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 42183928 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-9 - 1) + 10 - (1 + -1 - 13)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 9:15 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 90\/25 - (-5 - 23\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -449, -441, -411, -347, -237?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3070, 3077, 3084?\nAnswer: 3091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 24 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -524*m - 3172 = 524*m - 90156 for m.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((9\/116)\/3)\/((1305\/(-120))\/(-29)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -9, 0, -0.1029?\nAnswer: -0.1029","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 143\/33357846 and -53\/3?\nAnswer: 33357846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/((y\/(y**(-15)\/y))\/y*y)*y**23)\/(y*y\/(y**(-7)\/y)*y**11))**14 assuming y is positive.\nAnswer: y**(-196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1332463 + 1332463 + 2236*n**3 - 2231*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d - 2*z - 4, -5 + 3 = z. Solve 2*o + 2*o = d for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 129701526.\nAnswer: 2, 3, 21616921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**5)\/(j\/(j\/((j**(2\/23)\/j)\/j))))\/(((j**10*j)\/j)\/j*(j**(-5\/9)\/j*j)\/j) assuming j is positive.\nAnswer: j**(97\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 24140 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 736 a factor of 132480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 882?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2) + 0)*6 + sqrt(2) + sqrt(2) + sqrt(12)\/sqrt(216) - (-1 + sqrt(8) + sqrt(8) + (-1 + sqrt(2))*-6 + 3))**2.\nAnswer: -488*sqrt(2)\/3 + 4873\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 108796 and 472.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 + -3. Let d be (-21)\/14*8\/a. Let s(k) = k**3 - k**2 + 4*k - 3. What is the units digit of s(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(2\/1))\/(1*-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -14, 1\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3034\/(-777) + (6\/14)\/(3\/(-3)).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -303*j - 278*j = -57*j - 524 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -116*h - 490. Calculate w(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -836, -1670, -2510, -3362, -4232, -5126, -6050, -7010?\nAnswer: -8012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 41b - 8259?\nAnswer: -7e3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 588776.9ng in milligrams?\nAnswer: 0.5887769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - -1 - (36 - (20 + -2)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:09 AM and 4:19 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:22 PM and 5:31 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 27*g + 12. Suppose l + 24 = d + 21, 5*d = 4*l + 13. Determine p(l).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 2*f - 3*f. Let x = 6121 + -6114. Solve 5 = f*k - x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h**3\/4 - 4*h**2 + 7*h = 0. What is h?\nAnswer: 0, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (34 - (-12 + 33)) + -21.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 61070, 61061, 61050, 61037?\nAnswer: 61022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.5  (b) -5\/896  (c) 4  (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 2*l = -16, -5*j + 5*l + 52 = 2*l. Let o(g) = 2*g + 16. Let z be o(j). Is 19 a factor of 2 + z\/(-14) - (-6696)\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-132)\/(-88))\/((-6)\/20) - -4835 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/74928 and -87\/249760.\nAnswer: 749280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5 and 2\/((-3)\/(-6) + 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*u + 12*u - 2*u - 2 - 9*u.\nAnswer: 14*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes before 11:53 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12955?\nAnswer: 5, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 3 = -11. Let u = 71 + -36. Let z be 108\/14 - (-10)\/u. Calculate the highest common factor of j and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000068431315 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 398212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 62*68\/42160*(-6)\/15\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 3*f - 5. Let q = -4 + f. Which is smaller: 1\/3 or q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 31*g**2 + 79. Let y(h) = 15*h**2 + 40. Let d(a) = -3*k(a) + 5*y(a). Differentiate d(z) with respect to z.\nAnswer: -36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -649, -1293, -1957, -2653, -3393, -4189, -5053?\n\"Answer: -2*h**3 + 2*h**2 - 636*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.71762 to 2 decimal places.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -931, -1\/4, -1.94, -0.18?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - (8 + (-2 - 4))) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6339.\nAnswer: 3, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*i + 8*i = y - 3, -2*y - 3*i = -2. Let g(r) = -112*r + 13. What are the prime factors of g(y)?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31903560203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 65\/3 - 22. Let t be (-6)\/8*(-24)\/(-108)*12\/13. Which is the closest to t?  (a) -1\/8  (b) 6  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.088 - 7.388. Let u = d - -7. Sort u, 0, -2\/3 in descending order.\nAnswer: 0, u, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 150940912?\nAnswer: 2, 2503, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -0.1696*-0.053366\nAnswer: 0.0090508736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4 - -2*(-7 - -5). Solve 2*i + 13 - 1 = 2*z, -4*z - i - 1 = x for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1972 divided by -4\nAnswer: -493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 260*a**3*x**2 + 963*a**3*x + 33*a**2*x**2 + 8*a*x**2 - 243*x wrt x.\nAnswer: 520*a**3 + 66*a**2 + 16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 35*f**2 + 26*f - 15. Let c(r) = 18*r**2 + 12*r - 7. Give -6*a(x) + 13*c(x).\nAnswer: 24*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 5700538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 8763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from asaaassssaaaaaaaaaa. What is prob of sequence sssa?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 29496564, 58993107, 88489638, 117986151, 147482640?\n\"Answer: -p**3 + 29496550*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3731230*d**4 + 9*d**2 - 104455 wrt d.\nAnswer: -89549520*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**3 + 2*m**2 + 2. Suppose -5*p + 5*w + 32 + 13 = 0, 3*p - 2*w = 27. Let z(o) = -3*o**3 - 3*o**2 - 5. What is p*t(a) + 4*z(a)?\nAnswer: -3*a**3 + 6*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -47?  (a) 1\/8  (b) 0.3  (c) -0.2  (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2119.9 - 2120. What is the nearest to v in 2, 8, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4602052 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 6*r**2 + 3*r + 9. Let t be a(-6). Let f = 8893\/744 - -16\/93. What is the common denominator of t\/(-6)*5\/(-21) and f?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3520316231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12375952 to the nearest integer?\nAnswer: 3518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4, 11, 20, 31?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of t**5\/15 - t**4\/4 + t**3\/3 - t**2\/6 + 21. Factor p(k).\nAnswer: k*(k - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 36 + -33. Suppose 4*u - l + 2*l = 1, -4*l = 5*u - 4. Suppose -4*m + 2*g + 0*g = -20, -a*m - 2*g + 8 = u. Sort 0.2, -1\/2, m in decreasing order.\nAnswer: m, 0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 1 + sqrt(2448))**2 + (sqrt(612) + -2)**2*-1.\nAnswer: -72*sqrt(17) + 1848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -236*i**4 + 953*i**3 + 2*i - 23301123.\nAnswer: -944*i**3 + 2859*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -3, -2, 0, -4 in increasing order.\nAnswer: -4, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**2 + 3*v. Let o be g(-4). Let t be 10\/(-20) - (-10)\/o. What is the third smallest value in 1.1, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (45*u**4 + 830*u**3 - 830*u**3 + (-2*u**3 + 5*u**3 - 5*u**3)*(0*u + 4*u - 3*u) - 2*u**4 + 0*u**4 + 4*u**4)*(0 - 1 - 1).\nAnswer: -90*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 31523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 104030 (base 6) to base 14.\nAnswer: 3226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 30 - 29. Let h = 1.2 + -0.2. What is the nearest to h in -2\/5, m, -2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2*((-6)\/(-15) + 622\/20)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -30517\/4633 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 2*q - 25 = -2*b, 3*q - 30 = -b. Suppose -5*p = -5*a + b, 0 = 2*p + 4*a + 11 + 7. Suppose -2*d + 4 = -4*d. Sort d, 0, p in ascending order.\nAnswer: p, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 211 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1551976 (base 10) to base 9.\nAnswer: 2824817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2812*w + 1432*w - 3378*w - 7316 = 6958 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.3 - 1.3. Let r be (-4)\/(-4) + 8\/(-4). Let y be (-6)\/24 + (6\/(-216))\/r. Which is the third smallest value?  (a) y  (b) -1\/4  (c) 0.5  (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-7)\/63*(-1 + -1 + 5). Let f = -2 + 1.7. What is the smallest value in s, 0.2, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 117*r - 121*r + 1439654, 0 = -5*c + 25. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*t + 8*t - 506 = 0 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 28 + 28. What is the greatest common divisor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 57463 and 199437?\nAnswer: 1637178333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 5*j**3 - 4*j**2 - 9*j + 11. Let z be a(-5). Let t = 669 + z. Solve t = -31*x + 35*x + 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 306*w**3 - 39*w**3 - 52*w**3 + 417*w**3 + 32*w**3 - 41*w**3.\nAnswer: 623*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*((f\/(f*f\/f**(-5\/8)*f))\/f)\/f*f\/(f\/(f*f**31))*(f*f**(-44)*f*f)**28)**(-1\/8) assuming f is positive.\nAnswer: f**(8957\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16\/28)\/(-4*(-1)\/42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 16\/1411 and 85\/12.\nAnswer: 16932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9059.\nAnswer: 9059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 23\/735 + 5\/49. Let f be 4\/22 + (-5)\/88. Sort 1\/4, f, v.\nAnswer: f, v, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2310430 - 3?\nAnswer: 2310422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in twenty-one halves of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 - -2)*(11 + -1). Let w = 10 - m. Suppose -4*g + 28 = -w*g. Solve g = -3*k + 16 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00033303 rounded to five dps?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 + 20 + -4 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 5, 980\/3, 211?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the second derivative of 0*f**5 + f + 0*f**2 + 1\/2*f**3 + 0*f**4 + 2\/15*f**6 + 0. What is the second derivative of s(h) wrt h?\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 97 + -96.99999947. What is k rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (24\/9)\/(5\/(-30)). Let s = o + 10. Let p be (9\/(s + 3))\/(-3). Sort 2, p, 9 in increasing order.\nAnswer: p, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 51*x - 135*x - 8*x - 173*x - 32*x in the form t + w*x and give w.\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h**3 - 2105*h**2 - 222600*h - 220500 = 0 for h.\nAnswer: -210, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(448) - (3 + sqrt(448)))*-5 + sqrt(448) + -3 + -3 + sqrt(448) + sqrt(448) + sqrt(448))**2.\nAnswer: 576*sqrt(7) + 7249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 37 + -25. Let k(d) = -d**2 + 14*d - 7. Calculate the remainder when 66 is divided by k(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 w, 1 n, and 1 s when four letters picked without replacement from {x: 1, w: 1, a: 1, n: 1, s: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 1. Let n be 0 + 3 + -5 + 1. Let p(g) = 7*g - 7. Let f(r) = n*p(r) - s(r). Differentiate f(d) with respect to d.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -213*x**2 + 19*x + 7. Let n(w) = -172*w**2 + 21*w + 6. Calculate 6*n(a) - 5*z(a).\nAnswer: 33*a**2 + 31*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**3 + 7*t**2 - 8*t + 6. Let v(a) be the first derivative of -a**4\/4 - 2*a**3 + 7*a**2\/2 - 5*a - 566. What is 5*b(c) + 6*v(c)?\nAnswer: -c**3 - c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -442*n - 441*n - 52 + 55 + 903*n. Let v(b) = -b**2. Let y(m) = -3*m**2. Let j(x) = 7*v(x) - 2*y(x). What is j(r(w))?\nAnswer: -400*w**2 - 120*w - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -3148, -3158, -3172, -3190, -3212?\n\"Answer: -2*y**2 - 4*y - 3142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -5*a - 0*n + 1, -4 = 5*a + 4*n. Suppose 3*k - 18 + 3 = a. Suppose -2*g - 10 = -k*o, 4*g - g + 15 = 0. Solve o = -3*m + 5*m + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/5, 0.3, -98, -6, -0.2, 5\/31, -1\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5576 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 269.9299ug?\nAnswer: 0.0000002699299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1177 and 2178?\nAnswer: 233046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 429 + -426. Find the third derivative of -3*s**a + 11 + 6*s**3 + 71 + 4 - s**2 wrt s.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 0.5583094 millennia?\nAnswer: 55.83094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 46211413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6\/(3 - (3 - 2)). Let j(x) = 2*x - 2. Let k be j(c). Is 16 a factor of (-48)\/5*5*k\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3022 - 5218 = 16*u. Which is bigger: -512 or u?\nAnswer: -512","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.42*-1\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**2 + 3. What is o(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00418812 to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -52440674108 and 675?\nAnswer: 52440674783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*a - 5*p - 5, -5 = -11*a + 12*a + 2*p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 2*w**2 + w. Let l be x(1). Suppose l*r - r = 6. Suppose -3*d = r*a - 21, -3*d + 31 = 2*d + 3*a. What is the least common multiple of d and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19 times -1.302944\nAnswer: -24.755936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 10) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 229 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 22445943757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-126)\/4)\/(-7)*(-40)\/(-45). Suppose 0 = 3*u - 5*d - 30446, z*u = 3*u - d + 10162. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (-13 - -1) + 663 + -677?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 4*c - 3 = -13, -3*c = 0. Find the third derivative of 4*l**5 + 6*l**3 - 6*l**3 - 4*l**d wrt l.\nAnswer: 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*h**4*i**2 - h**4 - 1888*h**3*i**2 - 1202*h**2*i**2 - h**2 + 25*h wrt h?\nAnswer: 120*h*i**2 - 24*h - 11328*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/5 of a centimeter in millimeters?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, 134, -270, -0.02, 4, 14 in increasing order.\nAnswer: -270, -0.02, 1\/3, 4, 14, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -5*p - 14. Let k(h) = 5196*h**2. Determine y(k(v)).\nAnswer: -25980*v**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from osss. What is prob of picking 1 o and 2 s?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -h + 5757. Let g = h - -45995\/8. Find the common denominator of g and -43\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -23 - -18. Let w be (144\/15 - 2)\/((-355)\/(-1775)). Put w, 1, n, -4 in increasing order.\nAnswer: n, -4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -2*a**2 - 6*a + 250. Let t(z) = 3*z**2 + 8*z - 333. Let f(n) = 4*r(n) + 3*t(n). Let c(q) = -5*q**2 + 2*q**2 + 0 + 3. Give c(x) - 3*f(x).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(104) - sqrt(104)*2)*-1 + sqrt(104))\/((sqrt(112)\/sqrt(2))\/sqrt(7)) + -5.\nAnswer: -5 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13687 - 4248. What is the thousands digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the second derivative of 661*y**6\/30 + 75*y**3\/2 - 727*y. Find the second derivative of c(m) wrt m.\nAnswer: 7932*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 320198554?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 5\/8 of a day?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes after 11:31 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 41856313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*z - o + 4 = -12*z, 4*z + 4*o = 16 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.5 + 5.5. Put t, -3\/5, -5\/3 in increasing order.\nAnswer: -5\/3, -3\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2387 divided by -13.\nAnswer: 2387\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1566?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2 - 6)*2\/(-8). Suppose l = -4, -4*l - q + 0 = -3*u. Which is greater: u or -6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 402511070*x**2 + 1947*x + 7276.\nAnswer: 805022140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41*z - 37*z - 43*z + 123*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*1*sqrt(931) - sqrt(931)) + (3 + 2*sqrt(931))**2 + -4*sqrt(209)\/((sqrt(110)*-3 + sqrt(110))\/sqrt(10)).\nAnswer: 100*sqrt(19) + 3733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*m**2 + 17223*m + 34434.\nAnswer: 3*(m + 2)*(m + 5739)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 3*n = n - 4, -5*l - 3*n = -42. What is the lowest common multiple of l and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 4, 3, -1896381, -4 in decreasing order.\nAnswer: 5, 4, 3, -4, -1896381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 18 - 18. Let t be (-1 + g)\/((-2)\/6). Solve b = f - t*b - 6, -4 = 4*f - 2*b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (48\/(-40))\/(10\/(-25)). Suppose 0 = s - 3*z - 34, 4*s - h*z + 2*z = 158. Is 42 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-64)\/(-2)*(-200)\/32. Let i be (s\/60)\/(4\/(-6)). What is the second derivative of 22*k + 13*k - 10*k - 20*k**i - 10*k**5 wrt k?\nAnswer: -600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 36\/342 - (-74468)\/114. Let q = 654 - k. Let 4 - 2\/3*u**2 + q*u = 0. What is u?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 3*t + 37. Let r be y(-5). Is r greater than or equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/(-3))\/(920\/(-6348))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*a**2 - a**2 - 2*a**2)*(-2*a - 4 + 4 + (-a + 2*a - 2*a)*(-1 + 0 - 2))*(35 - 24 + 86).\nAnswer: 194*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15 + 27. Let c = h - 34. What is the lowest common multiple of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i**2\/2 - 65954*i + 3164640 = 0.\nAnswer: 48, 131860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t + 4*t - 2*t)*(-3078*t**2 - 6420*t**2 - 1868*t**2) + 4*t**3 - 2*t**3 + 0*t**3.\nAnswer: -22730*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 33\/21 - (-10659)\/1309?\nAnswer: 68\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*b**2 - 70*b + 245 = 0. What is b?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15 + -11. What is the least common multiple of c and 5\/20 - 63\/(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4378999409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 25 + 10?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 66 and 324951.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110100 (base 3) to base 7.\nAnswer: -654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + 2 = 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, j: 2, b: 4, a: 6, i: 4, w: 2}. Give prob of sequence wi.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (5 + -11 - -3)*10\/(-3). Solve -8*y + 9*y = -2*k, 2*y = k + a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -2*i**2. Let a(m) be the second derivative of 13*m**3\/6 + m. Let h(z) = -15*z - 17*z - 8*z + 8*z. Let k(r) = 12*a(r) + 5*h(r). What is l(k(w))?\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*b + 187 = b - 5*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 91*k + 150 = 116*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*u + 7*u - 2*u - 151*u**2 + 2 - u + 0*u to the form v + x*u**2 + g*u and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 8 = 0, 4178224 = -55*d - 2*j + 4178503 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-48 + 7 - 71)*(w - w - w) - 4*w - 2*w + 5*w)*(-4 + 3 - 2) in the form u*w + y and give u.\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*q - q - 4*q + (0*q - 4*q + 5*q)*(-6 - 1 + 3))*(-507*q**2 - 241*q**2 - 382*q**2).\nAnswer: 5650*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of b**2*d*m**2 - b**2*d - 312*b**2*m**2 - 3*b*d*m - b*m**2 - 4*b - 46*m**2 wrt b?\nAnswer: 2*d*m**2 - 2*d - 624*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 282416604 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -23.9247728 to 1 dp.\nAnswer: -23.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y**4\/7 + 15*y**3\/7 + 45*y**2\/7 - 15*y\/7 - 6 = 0 for y.\nAnswer: -2, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 2*g - 207. Suppose 0 = -3*v + 3*a + 27, 3*v + 5 = -0*a - 5*a. Suppose -y = 3*z - 52 + 14, v*y - g = -4*z. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4709037?\nAnswer: 3, 571, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.7 + -0.28. Round g to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 + 961.9.\nAnswer: 959.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -749*v**3 + 3 - 2*v - 3 + 0 + 305*v**3 + 447*v**3.\nAnswer: 3*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u**2 + 2*u**2 - 3*u**2)*(-1 + 1 + 1) + 4*u**2 + 0*u**2 - 2*u**2 - u + u**2 + u - 14*u**2 + 7*u**2 - 6*u**2 + 6*u.\nAnswer: -9*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 178177 + -178055.773. Let t = q - 134.22705. Let a = t + 13. Round a to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -35\/108 + 2\/27. Let s = 0.337 + 0.063. Let w = -228 - -233. What is the nearest to q in s, w, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(2\/21)\/o)\/(o*o**5\/o))\/(o*o**4)**(-13\/5) assuming o is positive.\nAnswer: o**(149\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*t = -36, -12 = -3*y - 317*t + 320*t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -2, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.4?  (a) 2\/5  (b) -0.65  (c) 1  (d) -822\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**3 - 22*c**2 - 13*c + 94. Suppose -j = -10*y + 9*y - 25, -98 = 4*y - 3*j. What is the tens digit of a(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4093 or -363.3?\nAnswer: -363.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 k, and 1 b when three letters picked without replacement from {w: 1, b: 1, c: 1, r: 1, g: 1, k: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 19665 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 189, 386, 583?\n\"Answer: 197*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 69*r**3 - 2*r**2 - r + 4. Let o be v(2). Let m = -382 + o. Calculate the remainder when m is divided by 39.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 280*g = 295*g - 310 - 320 for g.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4524437052\/5 + 88968530552123\/98320. Let b = -12\/1229 - z. Let c = -1323635\/44 - -30081. Find the common denominator of c and b.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1925 + -1637. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.4, 2, -3, -0.1, -1\/40, -3\/7, -1\/49?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(3\/5)\/a)\/a**5)**(-6)\/((a**(4\/7)\/a**(2\/5))\/(a**4*a\/(a*a**(-5\/4))*a)) assuming a is positive.\nAnswer: a**(5387\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -j - 3. Let b = -8 + j. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02125 rounded to four dps?\nAnswer: -0.0213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 70 * -0.1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 83?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(4\/5)\/d**(2\/21))**29 assuming d is positive.\nAnswer: d**(2146\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*t = -0*t + 91193 + 79807. Calculate the least common multiple of 85 and t.\nAnswer: 72675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.6 + 0.3. Let m = 8481 - 8484. Which is the nearest to -0.07?  (a) d  (b) m  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 7*f**2 - 1. Let q be w(-1). Solve -6 = -3*m + q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 387 and 14840547.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Are 1953 and 1675 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -2d2b (base 16) in base 13?\nAnswer: -5356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/(-12) + 2\/3. Let a = 1\/8247 + -1025378\/8247. Let k = a + 125. Is d > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from dtgnbssd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5 and -728.93.\nAnswer: -3644.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 399.83 take away -343.8?\nAnswer: 743.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 5305 divide 2356588916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 5*q - 202, 0 = -0*q + 2*q + 4*c - 88. Suppose q = 4*v - 160. Is 15 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -29 and 152.3.\nAnswer: 123.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + 12 = 4*k, -3*k + 11*p = 6*p + 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*o - 200 = -12*o. Let z be (2 + (-1638)\/4)*120\/o. Suppose 3*b = 9*b - z. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -10*j + 40. What is the derivative of -j + 23*r + 24 - 10 - 14 wrt r?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the third derivative of 11*s**8\/112 - 19*s**4\/12 + 41*s**2. What is the second derivative of b(a) wrt a?\nAnswer: 660*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v + 17 + 7. Let y be (v - 2)*(-6)\/(-9). Solve 4*h = -0*h - y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -240127696 divided by -4.\nAnswer: 60031924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13954.\nAnswer: 2, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 24*l**3 + 3*l**2 + 18*l + 15. Let x(k) = -k**3 - k**2 - k - 1. Let j(a) = -v(a) - 15*x(a). Factor j(p).\nAnswer: -3*p*(p - 1)*(3*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - -8) + (-1 - 2) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d + 2 - 8 + 38*d**2 + 8. What is the units digit of t(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24009 is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + i + 36 = -3*i, 0 = -i - 5. Let g = -168 + 169. Suppose 0 = -k + v - g. What is the highest common factor of k and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8\/60 - (-4)\/(-90)*-83562 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 23, -5, -3, -49 in increasing order.\nAnswer: -49, -5, -3, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2077473655, -2077473656, -2077473657, -2077473658, -2077473659?\n\"Answer: -u - 2077473654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 400600 to the nearest ten thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 10000101011000101 (base 2) in base 6?\nAnswer: 1244101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 619.57 times -3?\nAnswer: -1858.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/60 + 38\/24*5\/(36 - 11).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**2 - 6*s - 8. Let j be l(7). Let x be -4 - j\/(0 - 1). Let k be (3 + -2)\/((-1)\/x). Sort 2, -3, k in increasing order.\nAnswer: -3, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 2*d + d + d**3 - 4*d - 5*d**2 - 7. What is the remainder when (7 - 80\/12)*201 is divided by a(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -7710*r + 4047754. Calculate b(525).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k = -28 + 130. Let i = 34 - k. Calculate the highest common factor of 17 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19*z - 2*z**3 - 3*z**3 - 6*z**3 + 2 + 7 - 8 to the form a*z + p + y*z**3 + g*z**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -21708.4 - -21708. What is the closest to 7 in -5, f, 3, -2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 65 + -14. List the prime factors of c.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1\/(-3))\/((-11)\/66). Let -2*s - h*s**3 + s**3 + 3*s = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5081005?\nAnswer: 5, 1016201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -16.8 - -12.8. Which is the nearest to 2?  (a) 1\/2  (b) -1  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -1. Let q(m) = m. Let n(h) = -h**3 + 10*h**2 + 17*h + 86. Let t be n(12). Calculate t*q(x) - 2*j(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -29 - 11. Suppose 0 = -4*i - 0*i + d. Find the second derivative of -i*m - m - 4*m**3 + 0*m - 5*m wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 741*j**3 - 17*j - 36.\nAnswer: 4446*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -227692010863 from -5.\nAnswer: 227692010858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*l - 194 - 340. Calculate the remainder when l is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -103 = 10*t - 183 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (40480\/759)\/(((-1)\/18)\/((-1)\/(30\/2))).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - (-46)\/12)*18\/(-20).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 - 12*r**2 - 38*r - 9. Determine i(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0.03 + -84870542\nAnswer: -84870541.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 54, -9, -12, -5, 0.\nAnswer: -12, -9, -5, 0, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 1135*q - 1142*q + 1757. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o = 3*t + 25, 82*t = -3*o + 134*t + 245 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9690 - -17643. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 + -0.1. Let m be (-2)\/7*(-218)\/(-872)*(-4 - 0). Let o = 61\/5 - 12. Which is the biggest value?  (a) o  (b) m  (c) n  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 74 + -11. Let o = w + -58. Suppose -4*t = 2*r - 168, r - o*t - 90 - 15 = 0. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 400 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 3*r - 12 = 0. Factor -u + 2*u**4 - u**2 - 3*u**3 + 1 + 3*u**3 + u**r - 2*u**2.\nAnswer: (u - 1)*(u + 1)**2*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0123042 + 0.055\nAnswer: 0.0426958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 86425065 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 - 4302200422?\nAnswer: -4302200430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t = -t + 162. Suppose 4*f + y - 60 = -2*y, -72 = -5*f - 3*y. Let i be (f\/t)\/((-4)\/(-24)). Solve -i*d + 9 = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6437 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1900, -1979, -2034, -2053, -2024, -1935?\nAnswer: -1774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 28, 54, 80, 106, 132?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(475) - sqrt(475)*-2)*1 + (sqrt(475) + 0 + sqrt(475))*4)*-1 + (5*(1 + sqrt(475)) - (-1 + sqrt(475) + 0)))**2.\nAnswer: -420*sqrt(19) + 23311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 28 = 3. Suppose -7 = -4*j + z + 27, -2*j + 4*z = -10. Calculate the smallest common multiple of q and j.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -126*r + 128*r + 93 = -7*q, 0 = -2*r - 4*q - 54 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 8*p**3 + 3)*(3 + 0 + 2)*(-2 + 1 + 3)*(-13*p + 167*p - 303*p).\nAnswer: -11920*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 244 - 2686\/11. What is the closest to 0.4 in c, -4\/3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**3\/2 - 825*n**2 + 105648*n + 2177712.\nAnswer: 3*(n - 284)**2*(n + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is a9 - ee8b0?\nAnswer: -ee806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 - -1. Solve m*w = 4 + 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1+7990067463273\nAnswer: 7990067463274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 19 = -a, -3*c - 19 = 3*a - 46. Calculate the highest common divisor of 68 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -3*((0 + sqrt(75) + sqrt(75) + (sqrt(75) - -1*sqrt(75)))**2 + 0 + 4*4*sqrt(75)*1).\nAnswer: -3602 - 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m**(-2\/19)\/m)*m)\/(m\/(m\/(m**9\/m)))*(m**(8\/5)\/m*m)\/(m**(-5)*m*m) assuming m is positive.\nAnswer: m**(-28\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6462274?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2201 - 101100?\nAnswer: -111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(1\/4)*i*i)\/(i\/(i\/(i**(-1)\/i))*i*i))\/(((i*i*i**3)\/i)\/(i\/(i*i**(4\/9)\/i))) assuming i is positive.\nAnswer: i**(-43\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -2*p + 59. Let i be -2 - (0 + 1 + (-5 - -2)). What is the units digit of d(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nzoqn. What is prob of picking 1 z and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1336, 6, -3, 4, -10.\nAnswer: -1336, -10, -3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 608 - 992. Let q = v - -390. What is the closest to 1 in -3, q, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 60 = -2*d + 66, d - 68 = -3*g. Calculate the remainder when d is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -121  (b) 2  (c) 1\/4  (d) -4  (e) -82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17650?\nAnswer: 2, 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add -1.4 and 213364138.\nAnswer: 213364136.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*o + 41 = 41. Let m be 1*(o\/(-1) + 5). Solve -m*x = -2*x + 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 320 - 158 - 162 + 688*n**2 + 627*n**2.\nAnswer: 1315*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tntnttt. What is prob of sequence ntnt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 2 = d, -2 = 3*p - 2*d + 4*d. Suppose -2*w + 4*w - 230 = 4*x, -p*x = 8. What are the prime factors of w?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24\/(-30))\/(2\/10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes before 8:04 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5482350721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x - 4*a - 6995988, 2*x + 707*a - 705*a - 4664006 = 0. Round x to the nearest ten thousand.\nAnswer: 2330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31819 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 96\/204*4\/(-16).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.14 - 3.14. Let m = -4 - q. What is the third biggest value in 0.5, -3, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 2884, 5768, 8652, 11536?\n\"Answer: 2884*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 55 + 15. What is the remainder when w is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**3 + 20*q**2 + 77*q - 34. Calculate x(-15).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 7.8 and 8316994?\nAnswer: 64872553.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -51\/1945219 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 136678, 273359, 410040, 546721?\nAnswer: 683402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5684135100?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3188, -3193, -3200, -3209?\nAnswer: -3220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -37903 + 66255. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, -0.5, -0.276, -2, 1\/5, 0.13?\nAnswer: -0.276","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 902 = 4*f, o + 2*f - 22 = 150. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 7 = 2*t, -2*t = 4*g + 11 - 3. Let f(u) = -4*u - 5. Let d(m) = -2*m - 2. Let w(o) = -5*d(o) + 2*f(o). Let r(s) = -3*s. Calculate t*w(l) - 3*r(l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 11*a**4 + 6*a**3 + 2*a. Let d(p) = 11*p**4 + 5*p**3 + 3*p. Let g = 34 - 28. Let w(c) = g*d(c) - 5*s(c). What is the second derivative of w(x) wrt x?\nAnswer: 132*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-34)\/340*(-16)\/(-20))\/((-20)\/(-1000)*-8)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eieeeeeeeieeeeeiee. Give prob of sequence ii.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 159b6 + 4?\nAnswer: 159ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**2 + 54045*c - 4615500.\nAnswer: 3*(c - 85)*(c + 18100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 8 + e?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l - 4*l + 30. Let m(a) be the first derivative of -a**4\/4 + 11*a**3\/3 - 5*a**2\/2 - 14*a - 15. What is the remainder when m(10) is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 8 + 0 = 4*p, -13 = -3*p - 5*t. Let y be p - (-4 - -3)\/1. What is the second derivative of 0 - r - 2*r**y - 2*r**2 + 0 wrt r?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1474 and 162805511.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5803 + 24800. What are the prime factors of g?\nAnswer: 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 19*k**2\/4 + 1525*k\/4 - 1563\/2 = 0?\nAnswer: -1563\/19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k = -16*k + 77 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 3*l = -l + 44, -5*z = -2*l - 62. Let r be z*1\/4*40\/28. Solve 4*t - 4 = -3*c, -32 = -r*t - c + 4*c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 936, 5, 4, 6 in descending order.\nAnswer: 936, 6, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 1, s: 1, v: 5, y: 2}. Give prob of picking 3 v and 1 s.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6199 + 6203. Solve 2*z = -4*u, t*z + u - 4*u = -22 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-309)\/(-1339))\/(3\/169).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {p: 2, b: 11}.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21, 5, -2, -1 in decreasing order.\nAnswer: 5, -1, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 142, 39, -154, -431, -786, -1213, -1706?\nAnswer: -2259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 40 + -43.7. Let z = f - -2.51. Round z to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 273 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -703*o**4 - 132*o**2*x**3 - 128019*x**3 - 2 wrt o.\nAnswer: -2812*o**3 - 264*o*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 18 - 18.2. Let f = -298.99 + 294.99. Which is the closest to -0.1?  (a) f  (b) 4.9  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -15 + 15.2. Which is greater: s or -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:41 PM and 11:31 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c**2 - 2 - 6*c**2 + 5*c**2)*(-2 + 2 - 2)*(-3 + 1 - 2)*(2 - 5 + 2).\nAnswer: 8*c**2 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes after 5:28 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 32*s - 267 - 117. Solve 0 = -2*i + 4*n + s, -5*i - 2*n - 2*n - 26 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*l = -51*l + 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**3 - 55*a**2 + 256*a - 2640. Let v be b(51). Suppose 0*g = g. Put v, 4, g in increasing order.\nAnswer: g, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(3 + (sqrt(108) - (-1 + sqrt(108))) + sqrt(108) + 1 + ((sqrt(108) + 1 - sqrt(108))*6 - sqrt(108))*-1 + -1)*2)**2.\nAnswer: -1728*sqrt(3) + 15696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 2*u**3 + 0 - 3*u**3 + u**3 + u**3 + (-u**2 - u**2 - 2*u**2)*(-3*u - u + 5*u) + 0*u**3 - 3*u**3 + 2*u**3 as p + f*u**2 + o*u + y*u**3 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15 + -5. Let f be ((-6)\/5)\/(6\/i). What is the units digit of (f\/(-3))\/((-4)\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -414*d - 4. Let f be y(-3). Let h be (-93201)\/75 + 30\/375. Let w = f + h. Calculate the common denominator of 39\/8 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6159991 divided by 1\nAnswer: -6159991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-32)\/(-24) - 440976\/(-18). Round w to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 483 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/(4*(-1)\/(-16)). Suppose 0 = -h + 3*v - 5 + p, -3*v = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -14881227*c + 7408192.\nAnswer: -14881227","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 3*t**2 - 8. Let y be j(12). Suppose -y = -4*m + 472. Let f = -106 + m. What are the prime factors of f?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3999*i**6 + 4*i**2 + 28 wrt i?\nAnswer: -479880*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.426868 - 18479\nAnswer: -18479.426868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -338 + 338 - 117*b in the form j + z*b and give z.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19\/456*16\/6.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 4, 3, -6, -23?\n\"Answer: -4*y**2 + 11*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101000 + -1011001101001?\nAnswer: -1011010010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 930447756.\nAnswer: 2, 3, 7, 1230751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7463368 and 5.\nAnswer: 37316840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 271236641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 2*t + 0 + (17*t + 15*t - 36*t)*(-5 + 2 + 1) + 2*t - 3*t + 3*t)*(0*t**2 - 7*t**2 - t**2) to c*t**3 + m + x*t**2 + i*t and give c.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**3 - 126*b**2 + 894*b + 18557. What is k(117)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -e0cb697 + -5?\nAnswer: -e0cb69c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1108 less than -0.3?\nAnswer: -0.4108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -131\/78 - -24\/13. What is the second smallest value in 104, m, -5\/12?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -2*f**3 - 208*f**2 + 16*f + 1891. Determine p(-104).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 - (-3680)\/25) + 4\/40*-2. What is the greatest common factor of 3577 and j?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the first derivative of 110*p**3\/3 - 29*p**2\/2 - p - 42. Find the second derivative of a(l) wrt l.\nAnswer: 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/3*(-69)\/(-9752). Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -111.80573 less than 17.6?\nAnswer: 129.40573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v, 1 c, 1 b, and 1 t when four letters picked without replacement from {t: 3, b: 2, v: 3, c: 7}?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - 8 = -4*h. Suppose 7 = h*x - 33. Suppose 0 = -5*z + z + 80. What is the highest common factor of z and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -20*j**3 + 4*j**2 - 1307*j?\nAnswer: -120*j + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/5 or 1048.7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 22, 32, 42, 52?\n\"Answer: 10*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(832) + 1*sqrt(832)*2)**2 + -2 + (-3*-1*sqrt(832) + sqrt(832) + sqrt(832) + -1 + sqrt(832) + -2)**2 + -3.\nAnswer: -288*sqrt(13) + 37444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 - -20011200?\nAnswer: 20011122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*g**3 + 784*g - 1574*g + 790*g + 11*g**3.\nAnswer: -26*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of u**2\/2 - u + 20. Calculate the lowest common multiple of i(2) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange c + 1311*c**3 - 62 - 34 - 1313*c**3 + 6 to i + k*c + r*c**3 + f*c**2 and give i.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhtl when four letters picked without replacement from {l: 1, h: 3, t: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 3*d + 22 = 2*t, -2*t = -d + 23. Let x = d - 11. Suppose 10 = 3*f + x. Solve 0 = -5*r + 10, -2*r = o + f*r - 13 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 - 2)*(233 + 171 - 660)*(-5*u + 4*u - u).\nAnswer: -512*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/((r*(r\/(r*r*r**6\/r))\/r)\/r)*r**2\/r*(r*r\/(r*r*r*r**(-2\/7)))**37)\/((r**(2\/7))**(-1\/12)*(r*r**(4\/9))\/r**(-1)) assuming r is positive.\nAnswer: r**(-2501\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let -25998*k**2 + 77818*k + 528 = 0. What is k?\nAnswer: -88\/12999, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 + -6. Let t be (28\/(-3))\/((-22)\/3 + -914 + 920). What is the second biggest value in 3, 2, f, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2\/65)\/(r*r*(r\/(r*r*r**(-2\/73)))\/r*r*r))\/(r**(-5\/9)*r**(-3)) assuming r is positive.\nAnswer: r**(63946\/42705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20101220 - -12011?\nAnswer: -20012202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2\/306985 - -48444995869\/613970. Let o = -81136 + a. Let w = o - -2277. Calculate the common denominator of w and -47\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -484*t**4 - 91362*t.\nAnswer: -5808*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in -2\/11, 1, -12?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-27)\/(-7))\/(8\/784*-21).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(189)*-2*5 + sqrt(189)*-2*3)\/(-6*(sqrt(7) + sqrt(175) + sqrt(7)) - 4*(sqrt(21)\/sqrt(3) - sqrt(7))).\nAnswer: -40*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -6491050 divided by -25\nAnswer: 259642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 615*g + 7553 = 167*g - 202*g + 27703 for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = -o - 710, -5*q - o + 0*o = -710. What is the remainder when q is divided by 73?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**2 + 9*c + 13. Let y be x(10). Suppose 4*b - 5*g = 95, 0 = -y*b + 2*b + 5*g + 35. Is 20 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (-67 - 0) - (9453 + -9464).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 309 + -280. Suppose -3*k - a = -l, -k = k + 10. Which is smaller: l or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -5*p**3 - 5*p**2 + p + 8. Let b be q(3). Let n = -169 - b. Solve n = -a - g - 3*g - 3, -4*a + 5*g = 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.7 + 2.5. Let a = -38397.60041 - -38392.4. Let n = a + w. What is n rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from azvaojn. What is prob of picking 1 v and 1 a?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 242391, 483920, 725449?\n\"Answer: 241529*p + 862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12b (base 14) to base 12.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 179 in 4\/4817, -1\/2, 3, -3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -6939*c - 41631. Give j(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = 4*c - 29, 5*t - c - 10 = -0. Find the second derivative of -14*n + 9*n**3 - 8*n**3 + 16*n**t wrt n.\nAnswer: 102*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(10)\/sqrt(5)*6 + sqrt(2) + 2 + -3.\nAnswer: -1 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*f + 96*f - 1198 + 1196)*(f + f + 0*f).\nAnswer: 182*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2  (b) -5  (c) 0.4  (d) -2\/5  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 111.040012411 + -111.04. What is q rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + 8. Let o(m) = -2*m - 5. Let j be o(-5). Suppose 4*x - 94 = f, j*x - 138 = q*f - 28. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8705461807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 21211 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1105081 is divided by 184155?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 + 31 + 10)*((2*u - 4*u + u)*(0*u**2 - 3*u**2 + 4*u**2) + u**3 - 3*u**3 - 3*u**3).\nAnswer: -168*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b + 10. Suppose 27 = g - 3*g + 5*o, 2*g = o - 23. Let x be c(g). Is 3\/10 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + (1 - 2 - -2) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2764.\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 1, -5, 249579, 31 in descending order.\nAnswer: 249579, 31, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 5:44 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 6*h = 79. Let q = h - -129. 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: Let u = -37.1 + 27.1. What is the closest to u in 0.4, 0.04, 0.2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.068 * 752877.\nAnswer: 51195.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3718 - 2162 = -7*p. Suppose 2*m - 3*m - 4*y = -p, -5*m + 2*y + 4090 = 0. What is m rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4164619, -4164620, -4164621?\nAnswer: -4164622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.10870633 to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 4*r + 9 = 2, p + 7*r = 56. What is the lowest common multiple of p and 3377?\nAnswer: 23639","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/30 of a week in minutes?\nAnswer: 336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*r**5 - 1266*r**4 - 2223*r**3 - 564*r**2 + 372*r = 0 for r.\nAnswer: -1, 0, 2\/7, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 3*a**2 - 3*a**2 - 6*a**2. Let v(p) be the third derivative of -p**5\/15 + 3*p**2 - 2964*p. Give n(v(m)).\nAnswer: -96*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 - 0)*-1 - -9. Let t be (15\/l)\/(2\/4). Suppose -4*x - 1 = -t*h + 7, h = 2*x + 2. Solve -2*m = -h*i, 3*i = 2*m + m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(245) + sqrt(5))*-6 + (-2*sqrt(245))**2.\nAnswer: -48*sqrt(5) + 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = l - 4*u, 4*u = 5*l + 6*u - 59. Let i = l + -6. Suppose -w + 38 = i*c, 2*c + w - 15 + 1 = 0. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k - 4*k + 2*k)*(0*k - 3*k + 2*k) + 5 + 2*k**2 - 5 + (0*k - 2*k + k)*(2*k + 4*k - 17*k).\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -52636.46 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 minutes before 1:42 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 123200.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -195746, -391490, -587234, -782978?\n\"Answer: -195744*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 4*i**2 - 4*i - 3. Let d be h(5). Let u = 1 + -1. Suppose -2*m = -u*m - 14. Calculate the highest common divisor of d and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 135 or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k*k**15\/k)*k**7*k**(2\/47)\/k*k**(2\/145)\/k)**(2\/25) assuming k is positive.\nAnswer: k**(-121902\/170375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -100267, -401066, -902399, -1604272, -2506691, -3609662, -4913191, -6417284?\nAnswer: -8121947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1771*i**3 + 1253*i**3 + 2695*i**3 - 1038*i**3 + 4361*i wrt i.\nAnswer: 28086*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -249103062.60002342 - -249104292.6. Let w = -1230 + i. What is w rounded to six dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the second derivative of t**4\/36 - t**3\/6 + t**2\/3 + 8*t. Suppose n(x) = 0. What is x?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6578 and 2288?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes before 12:08 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/11, -4, 525\/106, -3\/8 in descending order.\nAnswer: 525\/106, -2\/11, -3\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8617372400?\nAnswer: 2, 5, 7, 13, 61, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(832) - ((-1 + sqrt(832))*3 - sqrt(832))**2 - sqrt(832) - (-4 + sqrt(832) + 2))*-3 - (5 + 5*(-4 + sqrt(832)) + -1).\nAnswer: -304*sqrt(13) + 10021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i**3 - 445724*i**2 - 1782944*i - 1782960 = 0.\nAnswer: -2, 111435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 147 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*4*sqrt(18) - sqrt(18))\/sqrt(6) - sqrt(6)\/sqrt(288))**2.\nAnswer: 11881\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -33110050 rounded to the nearest one hundred thousand?\nAnswer: -33100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 136 and 97102674.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sxx when three letters picked without replacement from {x: 3, s: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 + 42. Is 16 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mggmgg. Give prob of picking 1 g and 1 m.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 26*s**3 - 7*s**3 - 92 + 84 wrt s?\nAnswer: 57*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 138*((-20)\/(-105)*-1)\/((-952)\/833)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2275887 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 134.86 to 0 dps.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.1388300450364 and -0.1.\nAnswer: -0.2388300450364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -2*d**3 - 23*d**2 + 16*d - 319. Give h(-13).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1, 11, 7, 2 in descending order.\nAnswer: 11, 7, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 19030 and 910?\nAnswer: 1731730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 4*u**2 + 2*u + 14. Let y(b) = b**2 + b. Determine x(l) - 3*y(l).\nAnswer: l**2 - l + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 118 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/(2*-1) - (-66)\/66.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -7*y - 36. Give o(-9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 151\/12 and -89\/1006016.\nAnswer: 3018048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -24 (base 15) to base 6.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3772 - 1831 + 4859)*(d**4 - 3*d**4 - 4*d**2 + 2*d**2) to the form v*d**3 + u + x*d + f*d**2 + p*d**4 and give p.\nAnswer: -13600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 - 8. Let l = 24783\/155 + -4969\/31. Which is the third smallest value?  (a) p  (b) 4  (c) 1\/4  (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -143.4 - 0.6. Let r = p + 143.838. What is r rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12108 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(5 + sqrt(180) + 0 + 3))**2.\nAnswer: 2400*sqrt(5) + 6100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand h**2 + 14*h - 14*h + (3*h - 2*h + 3*h)*(-1 - h + 1).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 9*p = -8. Let q = p + 4. Calculate the greatest common divisor of q and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-264)\/(-16))\/(6\/(-8)). Let b = -49 - k. Let v = -22 - b. Solve 0 = v*h + n + 15 - 6, -3*h + 4*n = 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.0529 + 0.0529. What is the closest to -2 in 0.5, -1\/6, p, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 2*n + 6 = 0. Let d be ((-4)\/(-4))\/(3*n). What is the closest to 1 in 1, 2\/17, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 298 + -136. Let n = -159 + r. Determine p, given that 2\/5*p**4 + 0*p - 2\/5*p**2 + 0*p**n + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -994*n**4 - 8*n**3 + 10*n + 308541.\nAnswer: -3976*n**3 - 24*n**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6520*n**2*v + 2*n**2 - n*v**4 - 608*n - 4 wrt v.\nAnswer: -6520*n**2 - 4*n*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18)*1 + sqrt(2))**2 - (sqrt(2) + -1 + 3).\nAnswer: -sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -26, 1, -2\/5, -5 in decreasing order.\nAnswer: 1, -2\/5, -1, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 90.0484 rounded to one decimal place?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 95\/46368 and -87\/13967072.\nAnswer: 125703648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2646509?\nAnswer: 17, 41, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.6031 + -12643.013.\nAnswer: -12640.4099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -46 + 25. Suppose 4*r = x - 40, 2*x + 120 = 5*x - 3*r. Let a = m + x. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 5 = -1, -5*s - 5*b = -30. Suppose -s*o = 5*t - 443 + 99, 4*o = -4*t + 348. Suppose -o - 317 = -4*a. What are the prime factors of a?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the first derivative of 2*d**3\/3 + 4. Let t(a) be the first derivative of -a**3\/3 + 1. Determine h(t(x)).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4489131.\nAnswer: 3, 41, 36497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 1\/873001?\nAnswer: 1\/873001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*y + 2264 = 2604 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 138\/(-92) + 11\/2. Which is the closest to -2\/11?  (a) z  (b) -3  (c) 2  (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + 1)*(5*v**4 - 4*v**4 + 0*v**4) + 935*v - 935*v + 29*v**4.\nAnswer: 30*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -f + 2*k + 8 + 4, -4*f - 3*k = -4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 176790477?\nAnswer: 3, 37, 127, 12541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -0.4*0.01716567\nAnswer: -0.006866268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10150883580 - -219.\nAnswer: -10150883361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 5, x: 2, t: 5}. What is prob of picking 1 t and 1 w?\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -259 divided by 2078?\nAnswer: -259\/2078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/6 + -1*2\/6. Sort 0, q, -5, 4 in ascending order.\nAnswer: -5, q, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**3 - 7*q**2 + 7*q + 4. Give h(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, -5, 1\/4, -40?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5.04 - 5. Let d = 3.96 + u. Let s be (-2)\/(-2) - 9\/15. Which is the smallest value?  (a) s  (b) -0.5  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 488 minutes after 9:01 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.575 times -0.0042\nAnswer: 0.002415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4895*y**3 + 4*y**2 - y + 81 wrt y?\nAnswer: -29370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -1.2, -4448, 2, 4 in descending order.\nAnswer: 4, 2, -1.2, -4448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 17*c**2 - c. Let n be d(-1). Suppose 4*k - 13 = 3*l, -4*k + 19 = l + 2*l. Let s be 161 + (k - 6\/2). Calculate the greatest common factor of s and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1415552 to the nearest 10000.\nAnswer: 1420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.01 - 2.01. What is the nearest to -3 in 7, 0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 - 2.3. Let u = m + 0.3. Let n = 5 - 10. Sort n, u, -1 in decreasing order.\nAnswer: -1, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qss when three letters picked without replacement from qqqqss.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 4, -3, 1 in increasing order.\nAnswer: -3, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 61 and 2257.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/5)\/(4*8\/(-160))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 131437602 by 125298.\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f\/(f**(-1)*f)))**(-14)\/(f**(1\/8)\/(f**(2\/9)*f*f)) assuming f is positive.\nAnswer: f**(151\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 94288?\nAnswer: 2, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 + 10 - 10*l)*(-12 - 6 + 4)*(4*l + 3*l - 2*l).\nAnswer: 700*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 189 is divided by 96.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8071550.\nAnswer: 2, 5, 37, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -20.01 + 19.1. What is a rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 77*c - 76*c = -57, 0 = -2*d - 2*c + 72. What are the prime factors of d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/2387 and -59\/72044.\nAnswer: 792484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((1*sqrt(10))\/sqrt(5)*-6 - -3*(sqrt(288) + 1))*2*3.\nAnswer: 21 + 180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*3\/(-2) + 43648\/176 + -254?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 332764.\nAnswer: 2, 23, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -2*1*392824\/(-16)*-1*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4994 - 3344. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -9 + 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * -0.112992592\nAnswer: -0.0225985184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the first derivative of c**5\/60 + c**4\/4 + c**3\/2 + 15*c**2\/2 + 5*c + 27. Let u(v) be the second derivative of j(v). Determine u(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f*(f\/(f\/(f*f**(-2))*f))\/f*f*f)*f)**(-48)\/(f**(-12)*f**(-1\/8)) assuming f is positive.\nAnswer: f**(-671\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 293, 584, 869, 1148, 1421, 1688?\n\"Answer: -3*h**2 + 300*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64 = 185*s - 183*s - 4*o, 206 = 6*s + 2*o for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 2*b = -2. Let j = -1 + b. Let m be (6\/4)\/(66\/8). What is the smallest value in j, m, -1\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3357936 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 677217445 to the nearest integer?\nAnswer: 26023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8079172 decades in millennia?\nAnswer: 0.008079172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1986429861?\nAnswer: 3, 13, 16978033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, b: 3, p: 1}. What is prob of sequence bh?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-123*s + 178*s + 92*s)*(-40 - 8*s + 40).\nAnswer: -1176*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -393 - -487. Let p be (-3)\/(-9) - (i\/3)\/(-2). Solve -19 = h - p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19037497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -1.7  (b) -1  (c) 2\/9  (d) 44  (e) 15\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.1 - -0.1. Let a = w + 3.2. Let i = -0.42 + 0.02. What is the nearest to 0 in 1\/3, i, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 38797 (base 13) to base 15\nAnswer: 20eb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and -130.7.\nAnswer: -13.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -245*f**5 + 7630*f**4 - 63605*f**3 + 65400*f**2 - 18000*f.\nAnswer: -5*f*(f - 15)**2*(7*f - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 259 - 204. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 853*x**5 - 793*x**2.\nAnswer: 51180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/59  (b) -1\/7  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101000000011 + 101011011010?\nAnswer: 11010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**2 + 19*i - 4584. What is the least common multiple of 108 and m(-96)?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -836*p = -825*p - 209 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add together -236 and 6327.\nAnswer: 6091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 26604  (b) 4\/3  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1103 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -2*q + 32. Suppose -q = -3*r + 4. Suppose 0 = -2*w + r, 3*w + 2*w = -z + 12. Solve -3*n + 9 = -2*i, -2*i = z*n - 26 + 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5244326, 20977299, 47198918, 83909183, 131108094, 188795651, 256971854?\nAnswer: 335636703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -49 - -53. What is the second derivative of 10*f - 15*f**v - 5*f**4 - 6*f**4 + f**4 wrt f?\nAnswer: -300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 333 + -329. Suppose 5*r - 19 = -u*y + 7, 3*y - 12 = 0. Solve -2 = -t + r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.58 times -0.2037?\nAnswer: -2.562546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 13*q**3 + 186*q**2 + 44*q - 12. Let w(o) = 38*o**3 + 557*o**2 + 131*o - 33. Let k(b) = -11*r(b) + 4*w(b). Determine i, given that k(i) = 0.\nAnswer: -20, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (-2 + 9 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 137950 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 2*n - 4 = 0, 2*m - 4*n = 0. Let h(b) = 1 + 8*b - 9*b + 0 + 5. What is the remainder when h(-9) is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 370329669157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3922 - 3916. Which is the nearest to 1\/4?  (a) g  (b) -15  (c) 1\/5  (d) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**2 + 4*y. Suppose c - 3*o - 6 = 0, 2*c - 2*o - 39 = -7. Suppose 3*x - c = -0*x. Let b(k) = -k**3 + 8*k**2 - 9*k + 8. Let f be b(x). Determine p(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6.3 times -17.8\nAnswer: -112.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 8) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 2*v**3 + 63*v**2 + 1853*v + 38195. What is c(-25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**2 - 516*s + 66564.\nAnswer: (s - 258)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*t**2 + 7*t - 7*t - 22*t**2 + 5*t**2.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes after 10:04 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from edthttshtttehtto. What is prob of sequence to?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 148.2 - 176. Let y = i - -21.2. Which is the second smallest value?  (a) -0.5  (b) 2  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(56) + sqrt(168)\/(sqrt(3)*2))\/(sqrt(8) - sqrt(72)*-3).\nAnswer: 3*sqrt(7)\/20 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27074 is divided by 40?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.23 + -2.3. Let g = -0.07000011 - u. Round g to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 120276337 to the power of 1\/3, to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 34 = 5*h, 0 = -n + 4*h + 3 + 11. Suppose -n*a = -3629 - 3517. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -55222 + -3?\nAnswer: -55225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b + 1. Let q(z) = 2*z - 3. Let o(v) = -2*q(v) - 5*y(v). Let r(h) = -6*h**2 - 5*h - 5. Give -10*o(m) - 2*r(m).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (48\/(-26) - (-18)\/(-117)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fffk when four letters picked without replacement from {f: 7, k: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**(-2\/61))**44)**(1\/31) assuming p is positive.\nAnswer: p**(2772\/1891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 10095.30546 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(637) + 2.\nAnswer: 5 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 284 = -3*i + 4*s - 451, 735 = -3*i + 3*s. Is -244 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes after 1:08 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 5 + -3 + 7 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/70)\/(31\/155).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 12*k**2 + 3*k + 2. Let t be n(-2). Let q = t + -26. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-28)\/21*1\/(-4)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q = c - 14, 41 = 2350*q - 2345*q + 4*c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*j**5 - 6*j**4 + 14*j**3 - 4979*j wrt j.\nAnswer: -100*j**3 - 72*j**2 + 84*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 6, k: 6}. What is prob of sequence kkku?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -6*a**2 + 3*a - 7. Let t be b(9). Which is smaller: -464 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/(-6))\/(153\/(-510))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 169\/1014*0\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 18 - 18. Suppose 0 = -k*z - 3*z + 117. List the prime factors of z.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**2)**36*(g*g*(g**(-7)\/g)\/g)\/(g**7*g*g) assuming g is positive.\nAnswer: g**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 9 + (-6)\/12*4. Suppose o*s = -7 + 21. Solve s*u = 11 - 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6199 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.66502 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-29)\/a**(1\/10)*((a\/(a**(-2\/3)*a))\/a)**(6\/13))**(1\/36) assuming a is positive.\nAnswer: a**(-3803\/4680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13 + 4 - -43) + -15?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.7  (b) -44  (c) 1  (d) -0.21  (e) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 26 - -2036a6?\nAnswer: 2036cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 5*v + 12. Let f be (-280)\/(-12) + (-4)\/v. Calculate the highest common divisor of f and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1793428 a multiple of 403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3421.815 months in millennia?\nAnswer: 0.28515125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c - 4*j - 4 = -3*c, 5*j = -2*c - 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -366998, -735474, -1103950, -1472426?\nAnswer: -1840902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -221*s**2 - 1480*s + 47. What is t(-7)?\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 10 + 10 - 19 - 6*n. What is the tens digit of a(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -175.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 3, r: 2, t: 1, i: 1, g: 4, o: 1}. What is prob of picking 2 r?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12170*u**6 + 14*u**4 + 59*u**3 - 53662*u**2 + 495*u - 1.\nAnswer: -1460400*u**3 + 336*u + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*t + 167*t**2 - 6573 + 0*t - 348*t**2 + 180*t**2 to the form b*t**2 + l + n*t and give l.\nAnswer: -6573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2250 - -3433. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k - 5*x - 21 = 0, k - 1339*x + 1335*x - 15 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -j + t - 3, j - 24 = -5*t. Which is smaller: -33 or j?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**2 + 463*f + 4085. Let x be c(-9). Let p(u) = 4*u**2 + 2*u - 4. Let i(y) = y**2 - 1. Give x*p(m) + 3*i(m).\nAnswer: -m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 6 + 1 + (-10 - (-4 + 1)) + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3\/686 or -1?\nAnswer: 3\/686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 - (5 - -39)) + -8 + (3 - -5)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/120 and -17\/149575.\nAnswer: 3589800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 3169 - 129 = -d, -2*t + 3*d + 6601 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 54023*j*s - 4*j*z - 16*s*z - 132*s + 25*z wrt j?\nAnswer: 54023*s - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 44, 3, -1?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/((-14)\/8 + 2). Suppose m*b - 15 = 5. Suppose 64 = -x + b*x. Calculate the greatest common factor of x and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7516 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -84370, -84354, -84330, -84298?\nAnswer: -84258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71412 is divided by 22828.\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -3*q**2 - 4*q - 4. Let m(w) = -w**2 - 6*w + 5. Let d be m(-7). Let x be (d\/(-6))\/((-2)\/(-30)). Let u(l) = 4*l**2 + 5*l + 5. Give x*a(v) + 4*u(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (1 + -2 + (8 - 3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-384)\/(-231) + 624\/(-1092)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17 - -11 - 17 - -6 - -9) + 51 + 2?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4 + (-1*12)\/4. Suppose 5 = 4*j + k. Suppose 25*b - 66 = 9. Put -4, j, b, 2 in ascending order.\nAnswer: -4, j, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.101 - 0.101. What is the third biggest value in -3\/2, -3, i, -1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 63 = 61. Let q be (-186)\/(-18) - 2\/6. What is the remainder when w is divided by (-4)\/(q\/16 - (-48)\/(-64))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 83*z. Let k(n) = -14*n**2. Determine q(k(a)).\nAnswer: -1162*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y = -5*j - 5, 2*y + 43*j - 14 = 41*j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 51*o**2 + 2*o - o - 2 - 3 - 7*o. Is b(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-8)*p**(-18)\/p assuming p is positive.\nAnswer: p**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -845 + 1692. Let p be (2 + j + 1)*80. What is p rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-198)\/(-120))\/11)\/(9\/366) - 6\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 27423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**2 + 5*o + 7. Let x be z(6). Let r be x\/6 + (-5)\/150. Let y = -2.32 + 0.32. What is the second biggest value in r, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d - 5*i - 5 - 4, -5*d - i + 51 = 0. Let p(o) = 3*o - 25. Calculate the remainder when 46 + (0\/(-2))\/(-4) is divided by p(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-68)\/(-10))\/(8\/80).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 3*g, 4*a + 5*g = a + 44. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 3*q - 2. Let b = -36 - -43. Suppose 4*k = p + 2, 4 = -k - p + b. Let c be v(k). Let o(m) = m**2. Calculate o(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-489)\/(-9) - 2\/6. Suppose -3*j + 52 + 64 = 4*r, 2*j - p = 2*r. What is the remainder when j is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1310 - 12?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6158*x**2 - 1956*x**2 - 2088*x**2 - 2092*x**2.\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -9*i + 130*i**3 + 138*i**3 + 14 - 269*i**3 - 11*i**2. Let v be h(-10). Solve j - 9 = -5*z, -8*j = -4*j + v*z - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7845 and 2640?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from glgsssgsggggslsggss. What is prob of sequence lg?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -95*j + 2199. List the prime factors of w(-54).\nAnswer: 3, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 72 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 - 0. Let b be -2 + (-5)\/4 + a. Let k = 16 + -16. What is the nearest to b in -4, k, 0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**2. Let p(l) = -11601146*l**2. Calculate y(p(u)).\nAnswer: -134586588513316*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -3. Suppose 0*x - x = -m. Suppose y**4 + y - y**2 + 4*y**4 - y + y**x + 3*y**5 = 0. What is y?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 70105, 140235, 210365, 280495, 350625, 420755?\nAnswer: 490885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 96 - 31. Suppose z - 728 = -6*z. Let m = z - q. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7757, 15517, 23277, 31037, 38797?\nAnswer: 46557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 divided by 33?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3141870 is divided by 9134?\nAnswer: 8908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, t: 5}. Give prob of sequence httt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/(-18) - (6 - (-840)\/(-135)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.117, 659, -6\/11, -2\/17 in increasing order.\nAnswer: -6\/11, -2\/17, -0.117, 659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 4, r: 4, u: 4, n: 3, x: 4}. What is prob of picking 1 n and 2 r?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 8 = 0, 16 = 4*t - 0*a - 3*a. Let v(w) = -29*w + t + 57*w - 27*w + w**3 - 2*w**2. Let o be v(1). Which is smaller: o or 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -38*g**2 - 358*g - 609. Let d be l(-7). Suppose -4*j - j + 170 = 0. Are j and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 15345.2265 to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 246*w - 4113 = 703*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8771601077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 450 divide 66640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11906, 23957, 36004, 48053, 60110, 72181, 84272, 96389?\nAnswer: 108538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -21.989 + -0.011. Let o = u - -15. Let b = o + 7.000002. What is b rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by 1202?\nAnswer: 1\/601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (11 + -9)*(-1)\/(-2). Let u be (-38)\/8 - (z - (-6)\/(-8)). Is 3 a factor of u\/(-20) - (-1004)\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-20)\/w**(7\/2))\/((w*w\/(w**(-3\/4)\/w))\/w)**(5\/2) assuming w is positive.\nAnswer: w**(-243\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -7*w + 15. Let u be w - (-1 - 9\/(-3)). Suppose 5*v - 19 = -4. Is v smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*s - 4*s - 1079229 + 1079208 = -4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -4*x + 8*x. Let s(d) = 3*d**2 + d - 7. Let t be s(x). Suppose 0 = -4*k + t + 23. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0250298402 to three dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**2 + 4*u. Let d be f(4). Suppose n + 3*n - 3*o + 14 = d, 4*o + 8 = 0. Which is bigger: -6 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 6 = -3*m. Suppose -m - 1 = -w. Let x(d) = d**2 + 5*d - 5. Let b be x(0). Sort w, 3, b in increasing order.\nAnswer: b, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110 + -1000?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 + 7. Determine k so that -2*k**5 - 3*k + 3*k + 2*k**w + 0*k**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x - 6. Let j be a(-7). Let k be (6 - 2 - j) + 1. Let q be 0 + (-1 - k\/10). Is q at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5  (b) -2\/3  (c) 1\/266  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a decade in months?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -50 + 271*y**2 - 81*y**2 + 85*y**2 - 365*y - 40*y**3.\nAnswer: -5*(y - 5)*(y - 2)*(8*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 134949 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 119 - -56. List the prime factors of q.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 3*w - 1. Let g be r(3). Let c(f) = -8*f + 45*f + 613 - 622. Is c(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - u = -2*t - 1, 2 = 5*t + 2*u. Suppose t = -3*f - 8 + 2. Is 17 a factor of f*(113\/(-2) + -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*v - 72794 = -41*v. Is 31 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5\/2*(-4)\/(-745). Let w(i) = -i**3 - 12*i**2 + 64*i. Let q be w(-16). Which is greater: l or q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 8 - 5 = -5*z, -53 = 2*u + 3*z. Let r = -10 - u. Suppose -2*b = 9*s - 14*s - 2, -3*b + s + 3 = 0. Calculate the highest common divisor of b and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 113*g**3 - 3*g**2 - 5*g - 8. Let r be o(-2). Suppose 5*j - 6127 = 1208. Let k = j + r. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0 + (10 - (0 + 5)) + 0. Suppose -8*u + 2*f - 286 = -10*u, -p*u - 4*f = -712. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes after 12:38 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 4, r: 3, z: 2, u: 1}. What is prob of sequence zd?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -11243031 - -4?\nAnswer: -11243026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**2 + f. Let s be x(0). Let o = 11 + -13. Let b be (1 - o\/(-1))\/1. Is b greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -2*p + p + 5*p - 2*p. Let g(f) = -6 + 34*f + 21 - 15. Give a(g(y)).\nAnswer: 68*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 60072.31 millilitres to litres.\nAnswer: 60.07231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 111128?\nAnswer: 2, 29, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 divided by -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -3, -5\/3, 583, 0.4, -5\/8, 4.\nAnswer: -3, -5\/3, -5\/8, 0.4, 4, 5, 583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w = 5*g - 91545 + 91501, 0 = -2*g + 5*w - 94 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 4*k + 3*k + 0 - 12 to l + x*k and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1888.768 less than -0.5?\nAnswer: -1889.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 + 1)*(5*a + 4*a - a)*(a - 3*a**4 - a).\nAnswer: -72*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-65)\/(-39))\/(5\/6) + -2. Are b and -8\/67 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/8 + (-10)\/(-40)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 782668267 is divided by 386.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**2 + 7*t + 7. Let d(i) = -7*i**2 + i + 1. Let f be d(-1). Let r(b) = -3*b - 6. What is the remainder when r(-6) is divided by l(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y - 5*b - 11332 + 11369, y + 25 = -b. Suppose -l - 2*o + 7*o = 2, -5*o + 19 = -2*l. Which is bigger: l or y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(2\/5)*n)\/(n\/(((((n*n\/n**(-4)*n)\/n)\/n)\/n*n)\/n)*n) assuming n is positive.\nAnswer: n**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -3\/143 and 54\/533?\nAnswer: 5863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = f - 5*f - 62, -13 = -m + f. Let r(u) = 3*u + 31. Let l be r(-7). Let v be (4\/l)\/((-1)\/(-50))*1. What is the greatest common divisor of v and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 109*g**2 + 2*g + 3. Let k = 9 + -12. Let c be x(k). Suppose 2*r - c = -4*r. Is 21 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3 - 5 - (-22 + -1). Let x(h) = -h**2 - 8*h + 3. Let k be x(-8). Solve 1 = 2*d - v, -k*d - b = 2*v + v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 2*u. Solve -s - 3*s + 8 = u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f = 5*a - 46, -a + 287 = -3*f + 393 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:06 PM and 12:25 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -6*x**2 - 2*x + 2. Let t(q) = 113*q**2 + 9*q - 9. Determine t(y) + 5*u(y).\nAnswer: 83*y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 4*i + 18. Let m be g(-3). Suppose 0 = -2*u - m*q + 4*q + 54, -4*u = -2*q - 132. What is the remainder when 92 is divided by u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -23164 + 22964 + 3*o**2 - 9*o**2 + 245*o.\nAnswer: -(o - 40)*(6*o - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (189\/(-36))\/(2\/(-32)). Let f be 5 + -4 + (-81)\/j. Is -1 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1a89 (base 12) in base 5?\nAnswer: 101043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -6 - 2*i**4 + i**2 - 2*i**3 + 5*i - 12*i**3 + 7*i**3 + 6*i**3 as z*i**3 + u*i + k + d*i**4 + o*i**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2888)\/57*3\/24.\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is z in 6*z**4 + 33*z**3 + 45*z**2 = 0?\nAnswer: -3, -5\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 576005683 to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = -10*q + 4*c, -119*q + 3*c = -123*q - 35 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -31 - 203?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + (-43 - -111) - 72.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 + -2. Let m be 4\/p - (-111)\/15. Solve z + 3*z + 5*v = -13, 3*v - m = 5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(1\/5))\/(o\/(o\/(o*(o**5\/o*o*o)\/o)))*(o*o**22\/o)\/o**8 assuming o is positive.\nAnswer: o**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -9509*l + 20187604. Determine c(2123).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 80968554, 80968551, 80968544, 80968533, 80968518?\n\"Answer: -2*i**2 + 3*i + 80968553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (5 + (-2084)\/(-8))*8\/(-6). Let i = 565 + f. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 3*s**3 + 5*s**2 - 5*s + 5. Let m(f) = 4*f**3 + 5*f**2 - 4*f + 4. Let b(q) = 4*m(q) - 5*o(q). Is b(6) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5383816*h**5 + 11*h**2 + 104927 wrt h?\nAnswer: 323028960*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -14 - -11. Which is the biggest value?  (a) 3\/2  (b) r  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 2*k - 21. Let a be j(14). Let l(n) = -n**2 - 12*n - 5. Let c be l(-7). Suppose 5*m - a*m + c = 0. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the second derivative of m**7\/3360 + m**6\/360 + m**5\/96 + m**4\/48 + m**3\/2 - 4*m. Let z(n) be the second derivative of a(n). Factor z(w).\nAnswer: (w + 1)**2*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 110 + -128 + 20 + (76 - -2)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v + 4*v - 3*v)*(31*v - 15*v - 24*v)*(-4*v**3 + 0*v**3 + 3*v**3).\nAnswer: 16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the second derivative of d**3\/2 + 3*d**2 - 4*d. Let l = 10 + -14. Let b(f) = -2*f - 5. What is l*o(n) - 5*b(n)?\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 7*c - 6 = 0. Let d(u) = 0*u**2 + 3*u**2 - 2*u**c. Let k(x) = -x. Give d(k(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -62, -275, -824, -1889, -3650, -6287, -9980, -14909?\n\"Answer: -30*b**3 + 12*b**2 - 39*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -65\/1734 and 58\/1445.\nAnswer: 8670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add 1695810 and -555954.\nAnswer: 1139856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -94*s = 142*s - 45*s + 3247 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1915721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 11446, 22882, 34318, 45754, 57190?\n\"Answer: 11436*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 11) + 11\/1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jnb when three letters picked without replacement from nzzznjzbjnbz.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 160*p + 55. Determine z(2).\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -2\/17, 0.09, -2\/3, -0.078?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the first derivative of h**9\/4536 - h**7\/252 + h**5\/45 - 8*h**3\/3 + 18. Let z(c) be the third derivative of u(c). Determine j, given that z(j) = 0.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4236 and 120.\nAnswer: 42360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m + 5. Let i be u(-1). Suppose -o - 4 = i*x, 2*o - 2 + 10 = 0. Let k(v) = -v**2 - 3*v - 1. Let j be k(-4). Sort j, x, 5.\nAnswer: j, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -231 in 0.1, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes after 2:29 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 204813097?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1207306 - 1?\nAnswer: 1207305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2804806.\nAnswer: 2, 73, 19211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -411 + 409. Put y, 0.4, 0.3, -0.03 in increasing order.\nAnswer: y, -0.03, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:01 AM and 8:08 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -477, -1116, -1867, -2730?\n\"Answer: -56*a**2 - 471*a + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (132\/36*3)\/(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the third derivative of -1\/480*r**5 - 1\/96*r**4 + 0 - 2*r**2 + 1\/16*r**3 + 0*r. Let m(y) = 0. Calculate y.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 4967.67 from 0.32.\nAnswer: -4967.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from chhhhchhcc. Give prob of sequence cc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*l + 46*l = -8. Let j = 99 - 25. What is the lowest common multiple of l and j?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*m**2 - m**2 - 2*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 72630 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 64, 486, 1264, 2392, 3864, 5674, 7816?\nAnswer: 10284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((3*(sqrt(150)*1 - sqrt(150)))\/((sqrt(12) - sqrt(3) - sqrt(3))*4 - sqrt(3) - 4*sqrt(12)\/sqrt(4)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-506)\/(-12) - 2\/12. Let j = a + -27. Let c = -4 + j. Solve -3*x + 4 = -c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26349843 is divided by 113?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.805 rounded to 1 dp?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 199.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -3*z**2. Let y(i) = 5 + 3533391*i - 3533405*i + 21. What is y(p(x))?\nAnswer: 42*x**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 5*d**2 + d - 3. Let a(s) = 9 - 5 - s - 1 - 7 - s**2 + 5. Calculate 3*a(t) + r(t).\nAnswer: 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -649033, -2596114, -5841257, -10384468, -16225753, -23365118?\nAnswer: -31802569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000011 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l + 0*s = 3*s, 5*l + s - 18 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -13*i**2 - 5. Let x(n) = 4*n. Determine x(c(l)).\nAnswer: -52*l**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add together 73 and 0.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 0*r = -r - 5, -3*y = 2*r + 10. Let c = 3 - y. Solve -6 = -c*n + 3*p, 5*n - 2*p - 2 = p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3000043ng in kilograms?\nAnswer: 0.0000000000003000043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1054 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 11746 or -2\/23?\nAnswer: 11746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -22705.7 rounded to the nearest 100?\nAnswer: -22700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 + 2.1. Suppose -38 + 120 = -41*n. Which is the nearest to n?  (a) -5  (b) r  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*d**2 + d - d)*(-10*d + 2 - 6 + 2*d**2 - 13*d).\nAnswer: -6*d**4 + 69*d**3 + 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2580547.5 months in years?\nAnswer: 215045.625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 112713179 a multiple of 527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -239503937, -479007872, -718511807, -958015742, -1197519677?\nAnswer: -1437023612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 44*i + 2. Determine g(-1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tjo when three letters picked without replacement from {t: 2, j: 2, o: 1, n: 1, y: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 1*sqrt(176)*-3.\nAnswer: -12*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(12) - sqrt(6)\/(sqrt(10)\/sqrt(5)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 39\/13*2\/(-12)*2. What is the nearest to a in 6, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-21875)\/15 - 4\/6. List the prime factors of 27\/(-81) - c\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 193*r - 21. Let m be t(4). Suppose 0 = b - m - 192. What are the prime factors of b?\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 6*w + 18. Let j(k) = -2*k - 6. Let d(f) = 5*a(f) + 16*j(f). Give d(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (((v - 2 + 2)*(-4 - 2 + 5) + v - 3*v + v - v - 3*v - 6*v)*(-2 + 2 - 2) - 3*v + 2*v + 2*v)*(-1 + 1 - 1) in the form r*v + n and give r.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 9486 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*w + 18*w + 28 = 0. Let s(x) = 2*x**2 + x + 2. Let h be s(2). Let p = h - w. Solve 20 = p*r - r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**2 - 15*v - 15. Calculate the remainder when 75 is divided by l(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from picwoowb. What is prob of sequence wb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29 + -37 + (-22 - -9).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -64 - -66. Solve -p*r + r = -5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 13, 44, 89, 154, 245, 368, 529?\n\"Answer: q**3 + q**2 + 21*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the second derivative of 4*j**5\/5 + j**3\/2 + 109*j**2\/2 - j + 64. Differentiate w(r) wrt r.\nAnswer: 48*r**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9237 (base 10) in base 16?\nAnswer: -2415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (30*s + 76*s + 73*s)*(0 + 1 - 2)*(-2 - 2 + 1).\nAnswer: 537*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d\/((d\/(d**7*d))\/d)*d\/(d**(-1\/6)*d)*d)\/(d**(-3)*d**6*d) assuming d is positive.\nAnswer: d**(43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 47.36503ml to litres.\nAnswer: 0.04736503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (l**2 - 2*l**2 + 2*l**2)*(-1 + 2 + 0) - 35*l**2 + 353*l - 353*l + l**2 + 2*l + 5*l**2 - 4*l**2 to the form c*l + y + n*l**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-3)\/(-6))\/(2\/12). Find the second derivative of 15*l + 2*l**o - 14*l - 6*l**3 wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + -6 + (14 - 1 - 29).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*z - 49*z - 32000 = 0. Round z to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the third derivative of -4*b**7\/21 - 2*b**5\/5 + b**3\/3 - 11*b**2 - 2*b. Find the third derivative of z(n) wrt n.\nAnswer: -960*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 + 9*q**2 + 9*q - 11. Let a be l(-8). Let c = a + 24. Solve 0 = 2*x + k + 2, 3*x - 1 + c = -2*k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-1\/4)*g\/g**0)**(-2\/59)*((g**(2\/3))**(18\/5))**(2\/25) assuming g is positive.\nAnswer: g**(2457\/14750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.6 - 2.5999955. Round i to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**1)**42\/(p**(-2\/9)*(p\/((p*p\/p**(-5)*p)\/p))\/p) assuming p is positive.\nAnswer: p**(65\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -193 = -86*n - 1053 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.1 and -1355 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(2\/15)*v**(-7)*v**(-3\/2)*v**4*v**2*v**(-1\/7)\/v*((v*(v*v**0)\/v)\/v*v)**22 assuming v is positive.\nAnswer: v**(3883\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r = 5*x + 22, -r = 3*x - 2 + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xlm when three letters picked without replacement from {s: 1, v: 1, m: 2, k: 1, x: 1, l: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 (base 13) in base 12?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -640*s**2 + 167*s**2 - 4927*s**3 + 145*s**2 + 167*s**2 + 195 + 163*s**2 wrt s?\nAnswer: -29562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5 + -159.\nAnswer: -159.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 4*u - 5. Let l(o) = o - 1. Let k be l(5). Suppose 0 = -w - 4*w. Solve -u*a + 1 + k = w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 64.31334ms to microseconds.\nAnswer: 64313.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -74 minus -2436641901?\nAnswer: 2436641827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.5 in 0.5, -5, 53?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(252) - (sqrt(252)*2 - sqrt(252)))\/sqrt(7))\/(sqrt(324) - sqrt(324)*-2 - sqrt(324)))\/(3*(sqrt(32) + sqrt(2048)*5)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14939 + -13315. What is the highest common divisor of y and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g + c + 10 = 0, 2*c - 11774 + 11469 = -59*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3967.61 rounded to the nearest 10?\nAnswer: 3970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 2*h**3 + 19*h**2 - 11*h + 1. Calculate o(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 108279826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1b59a2b (base 12) in base 3?\nAnswer: 101222220020122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -5*j + 2 - 4 + 1 + 4*j. Let a be h(-3). Let s = -3.47 - -3.5. Which is smaller: a or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-24)*y)**(31\/3)*(y**(1\/6))**(-1\/20) assuming y is positive.\nAnswer: y**(-9507\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(2) + 3)*5.\nAnswer: 5*sqrt(2) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (4 - 8) + -7 - (-3 - (-2 + -2))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**3 - 4*w**2 + w - 27. What is t(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4227491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -32\/39 + 191\/143. Let p = q - 2\/11. Let f = 30 - 30.3. What is the closest to p in 5, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 38, 36, 30, 20?\n\"Answer: -2*u**2 + 4*u + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -3 - 6. Suppose -3*r = 2*m + 57, j*r + m + 63 = -3*m. Let g = r - -16. Is g > 2\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/3*0 - 8. What are the prime factors of f\/((-16)\/(-4)) - -31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.9513 to 2 decimal places.\nAnswer: -0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*c**2*x**3 - c**2*x**2 + 2*c*l*x**5 - 4*l*x**2 - 3*l wrt x?\nAnswer: 18*c**2 + 120*c*l*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1.71538 and -43.\nAnswer: -41.28462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 325 and 9631258?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 41*w - 3. Calculate r(1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 = 271\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - w - 8 = -0*w, 0 = 4*n + 3*w. Let h = 5 + n. Solve 2*l = -2*u - 12, -3*u - 14 - 3 = h*l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3\/2 - (-7)\/2) + -3. Suppose -3*h + 288 = 3*c, -h + 5*h = -t*c + 182. List the prime factors of c.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j - 3*j - w + 42, 2*j = 3*w + 10. Let p = 10 + -6. Suppose -13 = -3*k + p*g, 7*k + 4*g - 8 = 3*k. Solve 2*m + j = k*b, 3*m - 2 = 2*b - 14 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/2, -372, -2 in decreasing order.\nAnswer: -3\/2, -2, -372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12 + 9. Let z = 17 + t. Let f = -5 - -43. Calculate the remainder when f is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 16*j = -60. Calculate the remainder when 71 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1\/13, -8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16341?\nAnswer: 3, 13, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 88 + -86. Suppose -b - 2 = -2*n + q, b = -2*n + 8. Suppose -n*o - m + 422 = 0, o - 4*m = 100 + 19. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4792000 to the nearest 100000.\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -5*324\nAnswer: -1620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 151 - 65. Suppose z = 3*j - x - x, -j + 5*x + 7 = 0. What is the remainder when 94 is divided by j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the second derivative of -k**8\/3360 + k**7\/504 + k**4\/3 - k. Let n(x) be the third derivative of j(x). What is the third derivative of n(g) wrt g?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4454564403?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 2044 (base 5) to base 3\nAnswer: 101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 423\/2 + -212. Let l = 17\/35 + -1\/5. What is the closest to l in 4\/5, 2\/5, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -723.\nAnswer: -4\/723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in twenty-nine halves of a milligram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -27*2*(-2)\/6. Let j be 2\/4 - (-3)\/(-6). Suppose -2*y + v + 6 = -0*y, -5*y + 4*v + z = j. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-355)\/1846)\/(2\/(-13))*(-176)\/22?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - ((-4)\/(-8) + -3).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-1 + (-1 + 1*sqrt(931))*-4 + -1))**2.\nAnswer: -1008*sqrt(19) + 134100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + 2103?\nAnswer: 2106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -1 + u + u - 3*u. Let l(c) = 4*c - 1. Let o be l(-2). Let n = o + 6. What is a(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.71 - -1.29. Which is the second smallest value?  (a) -0.0006  (b) p  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -50*p**3*t**5 + 9*p**3*t**3 - 3*p**3*t**2 + 221*p*t**2 wrt t?\nAnswer: -3000*p**3*t**2 + 54*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -8*s**2 + 49*s - 3. Let o be w(6). Suppose -q - 2*q + 287 = l, 1399 = 5*l - o*q. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 651?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 22\/1971 and -137\/150234?\nAnswer: 1352106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 139227770?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 + 1d1ab?\nAnswer: 1d1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 522 + 645 = x, 3*x = g + 3389. What is the least common multiple of 70 and x?\nAnswer: 39620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -213 = 3*f - 3*g - 60, -f = -5*g + 47. Calculate the remainder when (-5291)\/f + (-1)\/(-4) is divided by ((-8)\/6)\/(2\/(-39)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3415153703 to the power of 1\/3, to the nearest integer?\nAnswer: 1506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 585234 is divided by 1569.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -24895792*x**4 - 2*x**3 + 72700*x + 332.\nAnswer: -298749504*x**2 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 71 - 68. Which is the second smallest value?  (a) -3  (b) -19  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 148*j**2 - 16*j.\nAnswer: 4*j*(37*j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 10903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 3615 divided by 5\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 25822 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -6*n - 57. Give r(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -25 - -33. Suppose 9*b - t*b = 54. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (398 + 8022 - 266)*((2*l + 0 + 0)*(-4*l + l + 4*l) + 3*l**2 - 4*l**2 + 0*l**2).\nAnswer: 8154*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((70\/(-80))\/7)\/(1\/(54\/3))\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 364932 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3688168921 to the power of 1\/5, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 87*f**3 - 195*f**3 + 109*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -2*m + 5. Let l(p) = 6*p - 10. Let i(d) = -2*l(d) - 5*y(d). Give i(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve l**2\/6 - 875*l\/2 + 1312\/3 = 0 for l.\nAnswer: 1, 2624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 97*j - 443 = -621 + 372 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, a: 3, o: 5, d: 1, c: 2, g: 7}. Give prob of sequence dcc.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 400 + -1523066?\nAnswer: -1522366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*i = 56*i + 24, -8*u - 2*i + 48 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 229127 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10 - -21. Let b be (-3)\/(-3)*(1 - -1). Suppose 2*j - b*c - 18 = 0, -7*j - 3*c = -2*j - 61. Calculate the greatest common factor of o and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1\/22935 + 30583\/68805. Suppose 3*l = 8*l. Determine p, given that 0 + l*p - u*p**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -62 - -61. Let v = 0 + 1. Let q = 0.1 + -4.1. Which is the closest to 0.1?  (a) f  (b) v  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -808*p**2. Let i(n) = -9*n. Calculate s(i(t)).\nAnswer: -65448*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -905*x + 906*x = -2*a + 24, -2*x - 24 = -2*a for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -30*h**2 + 1949605*h.\nAnswer: -5*h*(6*h - 389921)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 275 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve m**4\/7 + 46*m**3\/7 - 7*m**2 - 94*m\/7 = 0.\nAnswer: -47, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 - -1012?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(2\/17)\/n**(-5))\/(n**(-3)*((n*n**(-1)*n)\/n)\/n) assuming n is positive.\nAnswer: n**(155\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -654, -1340, -2032, -2730, -3434, -4144, -4860?\n\"Answer: -3*u**2 - 677*u + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 464*v**2 + 2034174*v - 8768.\nAnswer: 2*(v + 4384)*(232*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 2\/13, 1\/7, 1\/12, -7, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the first derivative of 2*d**3\/9 - 2*d**2\/3 + 2*d\/3 + 4. Factor b(i).\nAnswer: 2*(i - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -2644, -13584, -31824, -57370, -90228, -130404, -177904, -232734?\n\"Answer: -s**3 - 3644*s**2 - s + 1002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the first derivative of 20*d**3\/3 + d**2\/2 - 4938. Let b(n) be the first derivative of n**2 + 1. Give b(x(c)).\nAnswer: 40*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pycx when four letters picked without replacement from {b: 1, c: 1, y: 4, p: 1, i: 1, x: 4}?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 352453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*c + 0*c + 4*c + (3 + 3 - 7)*(1 - 2*c - 1) + 984 - 16*c - 1022 + 4*c.\nAnswer: -9*c - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1480 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 4*d - 1. Let l(t) = -t. Let a be (-4 - 2)*(1 - 2). Suppose -3*w - 41 - 31 = 0. Let j = 26 + w. Determine a*l(n) + j*p(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -255*i - 268*i - 256*i + i**2 - 258*i + 1037*i.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 20*g - 4. Let x be z(11). Let d = -132 + x. Does 36 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 42 + -19. Let z = -19 + u. Let d be 4 - (-4)\/(-8)*z. Solve -d*w - 3 = -11 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s = 317 - 1643. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -2965, -5772, -8595, -11440, -14313, -17220, -20167, -23160?\n\"Answer: -d**3 - 2*d**2 - 2794*d - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 41339746 to the power of 1\/4, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:57 PM and 12:41 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 2 d when four letters picked without replacement from {t: 3, h: 5, u: 2, d: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l + 1, -3*d + 0*d - 47 = 5*l. Let i be d\/7 + 5\/1. Differentiate -6 + 2 - x**2 - 2 + i wrt x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = 5*p. Suppose p = -u + 9*u - 24. Let r(s) = 4*s**2 - 3*s - 3. Let d(h) = h**2 - h - 1. Determine u*d(w) - r(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 + 11 = 4*v. Let t(s) = 4*s + 35. Let i be t(0). Calculate the highest common divisor of i and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -139 = 4*s - 23. Let u = s + 32. Sort u, 10, -3 in decreasing order.\nAnswer: 10, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*w**2 - 5*w - 32*w**2 + 14*w**2 + 8*w**2 + 16*w**2 in the form t*w**2 + r + i*w and give t.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 21732730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 47047 - 27631?\nAnswer: 17216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2976 and 9.\nAnswer: 8928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3885732 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 7*g + 1. Let u(z) = -z**2 - 7*z + 2. Calculate the remainder when n(2) is divided by u(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 5.723003um?\nAnswer: 5723.003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 50640 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in k**2 - 32*k**3 + 11*k - 11*k.\nAnswer: -32*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 7 = -13. Solve 4*d - x - 14 = x, o*d - 5*x = 30 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -867*d**4 + 3*d**2 + 66*d wrt d.\nAnswer: -20808*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.74 - 46.74. Let d = -49 - m. What is the second biggest value in -0.4, 0.3, d, -7\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9022 - -651. What is w rounded to the nearest one hundred?\nAnswer: 9700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 9.548755 years?\nAnswer: 0.9548755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 84 = -2*l, -2*l - 2*c = 3*l - 178. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -82, -133, -182, -229?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 161c + b?\nAnswer: 162a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 - 131*v**2 + 680*v - 17. Calculate w(-136).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 279*f**2 - 5*f - 19. Is i(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, f: 4, p: 2, q: 3}. What is prob of picking 2 p and 1 v?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -898 = -b - 4*l, -l - l = 3*b - 2674. Suppose b = 11*i - 6*i. List the prime factors of i.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 113 - 106. Solve -3*f - 3*d + 4*d + x = 0, 5*f + 5*d = -15 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 11) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*k - 3*k - 4*k.\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 8) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**2 - 374754*l + 13864529.\nAnswer: (l - 374717)*(l - 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/24401 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*t**2 + 13*t**2 - 28*t**2 + 14*t**2.\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*r - 972 = -4*r. Find the common denominator of 7\/r*(-3 - 21) and 97\/100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -50*w - 400. Let f be i(-8). Solve -y + s - 2 = -f*s, -1 = -s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5065.\nAnswer: 5, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**3 + f**2 - 3. Let c be v(0). Suppose s - 3 = -0*s. Let n = 0 + -1. Sort c, n, s in descending order.\nAnswer: s, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/5, 652, -0.2 in decreasing order.\nAnswer: 652, -0.2, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 3 - 2*m)*(-26 + 26 - 47*m) as q*m + r + w*m**2 and give w.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2456306521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-507496)\/(-438))\/(-316)*(-1)\/((-4)\/12)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 21864*f**2 - 13*f + 0 - 1 - 8. Let x be o(9). Suppose l = 1829142 + x. Round l to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 471020 and 1276.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -3*c**2 - 14*c - 11. Determine n(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*x + 91 + 14. Suppose 3*w = -2*v - 53, -2*w + 91 + 39 = -4*v. Let d = x - v. Solve -g + 4*y - 1 = -5, 0 = 3*g - y + d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 3981*q**2 - 3985*q**2 - 2*q + 5*q)*(-4 + 86*q + 4 + 59*q) to p*q**2 + b + o*q + u*q**3 and give u.\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1648 + -1644. Let b be (-2 + 1\/1)*-1. Solve b = o - x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 254 - 247. Solve 5 = -4*v - c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 1 + 0)*(0 + 6 - 4)*(-63 + 63 - 15*l) as y*l + k and give y.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*(-2)\/(-4)*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2\/14355 - -2294\/20097. Sort 1\/31, 2\/3, i.\nAnswer: 1\/31, i, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 156724 <= 156322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 61925940 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that -2*q**3 + 796*q**2 - 7760*q = 0.\nAnswer: 0, 10, 388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 1 o, and 1 h when three letters picked without replacement from {n: 3, t: 1, h: 3, j: 1, o: 5, k: 1}?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -0*l + 4*l, -2*f = 3*l - 19. Suppose f = -j + 18. Calculate the greatest common factor of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.937 to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 13) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 897?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**1)**(-12\/7)*l**(-2\/15)\/(l\/l**9) assuming l is positive.\nAnswer: l**(646\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*u = 14*u + 240. What is the common denominator of -29\/60 and 2*99\/u - (-2 - -4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -30780 by 38.\nAnswer: -810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m, 1 d, and 1 h when four letters picked without replacement from iiiiiimdmhihi?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 + 6*g**2 - 10*g + 10. Determine a(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -12213 (base 4) to base 6\nAnswer: -1543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*j, 0*j - 6 = -4*f + j. Suppose 0 = -3*l - f + 17. Let v(n) = 0*n - n + l*n. Let h(g) = -2*g**2. What is v(h(q))?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k - 4*f + 40814, -848*f + 27186 = 2*k - 850*f. Does 25 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z + 8637. Is j(111) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*m**2*u**3 - 136*m**2*u**2 - 6*m*u**3 wrt u?\nAnswer: 36*m**2 - 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 42 = 3*n, -3*y - 9 = 5*n - 63. Let w(d) = d**2 - 10*d - 3. What is the tens digit of w(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 566 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -40*m**2 + 378*m + 1. Let v be n(9). Which is bigger: -0.3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -0.5, 219, -1.16.\nAnswer: -1.16, -0.5, 0, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 11.603 and 0.1?\nAnswer: 1.1603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 3373 = -g, 4*g - 6738 = 27*c - 29*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 333 + 57 = 0. Calculate the remainder when b is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20) - sqrt(100)\/sqrt(5)) + (-3*sqrt(5)*-1)**2 + sqrt(5).\nAnswer: sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**2 - q - 9. Let m be p(6). What is the highest common factor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-8736)\/(-280))\/(18\/15). Solve 38*a = -v - 50 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.080074021 * 0.01.\nAnswer: -0.00080074021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the first derivative of 0*s - 8\/3*s**3 + 3 - s**2 + 7\/10*s**5 - 5\/8*s**4. Suppose b(j) = 0. What is j?\nAnswer: -1, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 237833 is divided by 98.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-8)*10\/(-140)*-7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -9776*w + 4 + 16 - 1106894*w. Let g = 2337 - 2331. Let f be l(g). What is f rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ljjljjjljslllllllll. What is prob of sequence lsl?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s*s**(-2\/7)*s*s**(-14)*((s**(-2\/17)*s)\/s)\/s**(2\/17) assuming s is positive.\nAnswer: s**(-1490\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -19 + 24. Which is the third biggest value?  (a) 2\/5  (b) i  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 59 + 94. Is o a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:17 PM and 8:09 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 0 + 9*w - 23*w - 3 + 3. Let z(s) = 238*s. Let u = 54 + -89. Let x(i) = u*r(i) - 2*z(i). Let p(y) = -2*y**2. Determine x(p(o)).\nAnswer: -28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-43*1115\/258903)\/(((-25)\/(-24))\/5)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -165\/628 - -2\/157. Suppose -5*s - 4*x = -0*s + 6, -5*x = 5*s + 10. Suppose 2 = 3*n - s*r - 0, -2 = 2*n + 2*r. Which is bigger: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - k + 10 = 1, 4*k - 25 = -3*n. Let j be 40\/(-220) - 119129998\/n. Round j to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 4*i**3 - 3*i**2 - 3*i + 5. Let o be w(1). What is the common denominator of 155\/42 and 10\/(-6)*o + (-200)\/(-168)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*l**2 + 670*l + 22445.\nAnswer: 5*(l + 67)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 16*10 + 2*(-3)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-3*(0 + (5*-1*sqrt(1700) + sqrt(1700) + sqrt(1700) + sqrt(1700) - sqrt(1700)) + 2))**2.\nAnswer: -6480*sqrt(17) + 826416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -121\/48 and 145\/1210032?\nAnswer: 1210032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*g**3 + 12*g**3 - g**3 + 36*g + 2 to m*g**3 + n*g**2 + u*g + c and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 7\/3 of a hour?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 406699?\nAnswer: 406699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -146.052 from -72.\nAnswer: 74.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 289 is divided by (-192266)\/(-3514) + (-12)\/7.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**0*h)\/(h**(-7)\/h*h))**10\/((h**0)**(-1\/19))**(-47) assuming h is positive.\nAnswer: h**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 5*k + 85 = 0, 5*q + 287*k + 55 = 282*k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 0*t + 4*t + 4 = 0, 5*t = 3*l - 37. Calculate the remainder when 11 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m + 5*f = 24*m - 21*m + 15, f + 16 = -3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes before 8:31 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 43688917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 62*c + 21*c**3 + 6 - 1 + 86*c**2 + 0*c**2 - 20*c**3 - 91*c**2 to s*c**2 + l + o*c + q*c**3 and give o.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/2 or -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -323*a*q**4 + a*q**2 - 278839543*a + 15280*q wrt q.\nAnswer: -1292*a*q**3 + 2*a*q + 15280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:38 PM and 7:53 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (8 - (4 + -16 - -5)) + -15\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -12, 0.25, -1?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85*z - 68*z + 16891800 = 1195989. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*b**5\/9 - 20*b**4\/9 + 4*b**3\/3 + 64*b**2\/9 - 94*b\/9 + 4 = 0. What is b?\nAnswer: -2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -13812676, 0.07, 0.4, 3?\nAnswer: -13812676","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 4*o + 26461, 19943 + 6486 = 3*x + 4*o. What is the thousands digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -53*o + 101 = 9*o - 85 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1347453600?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -25.471 to one dp.\nAnswer: -25.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**2 + 89997496*d + 89997494.\nAnswer: 2*(d + 1)*(d + 44998747)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -45\/7, -0.27 in ascending order.\nAnswer: -45\/7, -0.27, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1407058878 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -7 - (-2)\/(-4)*4. Calculate the least common multiple of 4\/(-6) + (-60)\/z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -108*i**2 - 1515*i + 12. Let m be f(-14). Solve 0 = -15*s - 36 - m for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/243 and -41\/62.\nAnswer: 15066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 6 and 19.838.\nAnswer: 119.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 + 7 + 3 + 2 - 24 + 242*t)*(154 - 26*t - 154).\nAnswer: -6292*t**2 + 104*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 14) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-200 + 200 - 5*f**3)*(5 - 5 - 4*f**2).\nAnswer: 20*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2 - (-7 + 1 + 3). Let h = g + 0. Solve 3*u = d + h*u + 6, -5*u - 13 = 2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the third derivative of 7*w**4\/3 - 60*w**2. Let c(z) = 2*z. Determine c(r(v)).\nAnswer: 112*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:51 PM and 9:51 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/6 + 3)*(-60)\/225?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - (1 + -8 - 0)) + 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -107 = -140*q + 873 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 18 - 14. Suppose -18*n + 112 = -2*n. Suppose v*p + n*b - 2*b = 148, -3*p + 122 = b. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**1\/(r*r**(-3\/2)))\/(r**(1\/2)\/(r**(-5)\/r)))**7 assuming r is positive.\nAnswer: r**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-18)\/(-5)*(-30)\/(-9). Suppose -t = -2*v - 2*v. Suppose 0 = 2*o - g - 130 + 31, v*o - g - 150 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3\/2)\/((-9)\/(-24)). Is (2 - f - -2) + 469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2359 - 2357. Let f be (3 - -1 - -25)*1. What is the closest to a in f, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-7) - 7\/((-49)\/1020). Let v = 309 - o. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -482, -17307, -34132?\nAnswer: -50957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 2*v. Let y(u) = -17*u**2 - u - 1. Let o(r) = -373*r**2 + 5*r + 5. Let p(a) = -o(a) - 5*y(a). Determine z(p(d)).\nAnswer: 916*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**2 + 13*g - 13. Let m be (-4)\/(-7) - 3224\/(-91). Let o be 1\/((-32)\/m - -1). Is b(o) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -16880 to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -4, -1, 2, -860, 10, -6 in increasing order.\nAnswer: -860, -6, -4, -3, -1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*b + 27 = 22 - 76. Sort 24\/5, 5, b in descending order.\nAnswer: 5, 24\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - t + 3*k - 1566 = 0, -1948 = -5*t + k. Suppose 0 = -12*c + 2118 + t. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 117\/56 and 4 - (2 + (-93)\/(-2))?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -649\/5 or -131?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 741 and 171.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y = a + 2*y - 725, a - 690 = -2*y. Let r be ((-12)\/(-10))\/(15\/a). What is the remainder when (-15)\/(-10)*r\/6 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(209) + 6*(sqrt(209) + (sqrt(209) + (sqrt(209) - sqrt(209)*-1 - sqrt(209)) - sqrt(209) - sqrt(209))) + sqrt(209))\/((sqrt(55)*2)\/sqrt(5)))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.3, -1, -6.671?\nAnswer: -6.671","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3.4, -0.4, 1, -0.5, -38.\nAnswer: -38, -0.5, -0.4, 1, 3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:18 AM and 9:58 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 2 = 4. Suppose -3*y + 6*y = 3*j, 4*j = -c*y - 30. Sort 0, -1, y.\nAnswer: y, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -88 + 137. Suppose -h*b = -52*b + 1509. What are the prime factors of b?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24.45 times -12679?\nAnswer: 310001.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*g + 0*g = 39. Calculate the smallest common multiple of g and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 6*o - 3 - 34*o in the form g*o + a and give g.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 35503545 + 2?\nAnswer: 35503551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -25.05 + 25. Let i = -50 - -49.5. Which is the smallest value?  (a) i  (b) h  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-2 + 4 + 0)*(226*u + 38681 - 38681) + (0 + u + 0)*(0 + 0 + 2))*(-6*u + u + 3*u) to o*u**2 + y + b*u and give o.\nAnswer: -908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(3\/11)*((j**0*j)\/j)\/j*j)**(-4))**(1\/8) assuming j is positive.\nAnswer: j**(-3\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12917?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes before 3:25 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 55532 and 292.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmmffmfmfmmmmm. What is prob of picking 2 m and 1 f?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l - 5*h = 53, -4*l - 5*h - 21 - 8 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -1424 + 291*p - 1386*p + 1424 in the form k*p + g and give k.\nAnswer: -1095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -2*n + 4. Let z be y(4). Which is the closest to -4?  (a) z  (b) 2\/17  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8 + 8 - 5*m)*(2 - 2 + 2*m)*(554 - 278 - 207) as d*m + n + b*m**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.16 + -3.24. Let n = l - -3. Let w = 0.405 + n. What is w rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 11*h + 25. Let q(c) = 5*c - 1. Let k(t) = f(t) - 2*q(t). Determine k(-26).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 - -3. Suppose -s = -v*s. Let t be -1 - (-2 + (-2 - 0)). Which is the closest to s?  (a) t  (b) -0.1  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.7 - -97.24644.\nAnswer: 97.94644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 91.6109 rounded to one decimal place?\nAnswer: 91.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -10010303 (base 4) in base 11?\nAnswer: -115a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -50, -4, -0.5 in descending order.\nAnswer: 2, -0.5, -4, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -39748, -79509, -119284, -159079, -198900, -238753?\nAnswer: -278644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o\/(o*o**(-41)*o))\/o*o*o**(11\/4)*o**(2\/43)*o*o**(-1\/16))**(9\/4) assuming o is positive.\nAnswer: o**(276993\/2752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 147 and 31521.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(360) - (sqrt(360) - (1*sqrt(360) - sqrt(360))*-2))\/(sqrt(40)\/(1*sqrt(4) + sqrt(4) - sqrt(4))))\/(5*(sqrt(588)*-2 - sqrt(588))*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**3 - 14*k**2 + 1. Determine b(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 372, -4363, -12256, -23307, -37516?\n\"Answer: -1579*z**2 + 2*z + 1949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1 times 1822.93572\nAnswer: -1822.93572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 82143 - 48898. Is m a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.1  (b) 3  (c) 667  (d) 0.59  (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2166252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7.3 - 7. Let p = g + -0.7. Let d = -0.15455 - -0.05455. What is the nearest to d in 0.3, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -18*p**2 - 23*p**2 - 56*p**2 + (3*p - 5*p + 3*p)*(3 - 11*p - 3).\nAnswer: -108*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (151564\/(-995992))\/(1\/(-506))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 47 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 961*y - 19 = 956*y, 0 = -y + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the third derivative of -1\/3*u**3 + 29\/12*u**4 - 1\/210*u**7 + 0*u + 0 + 201*u**2 + 0*u**5 + 1\/40*u**6. Find the second derivative of q(d) wrt d.\nAnswer: -12*d**2 + 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**2 + u. Let h be t(-3). Suppose -5*f - h = 2*a - 21, -3*a + 5 = 4*f. Is 340\/25 + 2\/f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1154 + 1154.03515. What is l rounded to three decimal places?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 d when three letters picked without replacement from {d: 3, j: 2, l: 1, g: 6, n: 2, h: 1}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 385422 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -379*b = -404*b - 400 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 704 and 2692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8 or -145?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-9)\/4)\/((-2)\/8). Calculate the highest common divisor of c and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-7 + 2)*4\/(-5). Solve 2*r + 6 = y, d*y + 0 - 15 = 5*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the third derivative of -z**9\/11340 - z**8\/6720 + z**7\/7560 - 13*z**4\/24 - 8*z**2. Let q(o) be the second derivative of p(o). Factor q(c).\nAnswer: -c**2*(c + 1)*(4*c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 49120441\/270270 - 16537\/91. Calculate the common denominator of f and 121\/90.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 5*s = -12, 5*g + 3*s + 16 = -16. Let k = -6 - g. Suppose -2*u - 8 = i + 3*i, -4*i + 4 = -4*u. Sort -4, k, i.\nAnswer: -4, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x + 1. Let w(k) = -7933348*k + 34. Let z(y) = -5*s(y) + w(y). Let h be z(3). Round h to the nearest 1000000.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3058 + 3447. Which is smaller: -3 or w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 119 times -5302.2?\nAnswer: -630961.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 54*h + 2 = -49*h, 5*y - 5*h + 5 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*p**4 - 2 + 2 + (p - p**3 - p)*(-10*p + 7*p + 35*p).\nAnswer: -29*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -259 (base 12) to base 5.\nAnswer: -2412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*h**3 - 191 + 5*h**2 + 191.\nAnswer: -5*h**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7*x**2 - 20 + 20)*(45*x - 164*x - 60*x) - 1 + 1 - x**3 to the form y + v*x**3 + t*x**2 + i*x and give v.\nAnswer: 1252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 3*s + 1. Let n(g) be the third derivative of -6*g**2 - 1\/4*g**4 + 0 - 1\/3*g**3 - 4*g. Determine -5*a(w) - 2*n(w).\nAnswer: -3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -2687073000 to the nearest one million.\nAnswer: -2687000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/368 and 121\/5560.\nAnswer: 255760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 4*q**2 + 3*q + 1. Let u(y) be the second derivative of y**4\/6 + y**3\/3 + 9*y. Let a(j) = 3*r(j) - 5*u(j). What is a(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 11 = -15. Suppose -4*r - 2*q = m + 8, 4*r + 4*q + 20 = 0. Suppose -5*p + 9 + 16 = r. What is the smallest value in -0.04, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 3*l - 5. Let v(o) = 2*o - 3. Let d(q) = -5*v(q) + 3*z(q). Let y(k) be the third derivative of k**5\/30 - 4*k**2. What is d(y(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 - 4439?\nAnswer: -4439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 85 = -h, -s + 0*h = 2*h - 16. Suppose -5*m + 73 = -s. What are the prime factors of m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.6323212 months to centuries.\nAnswer: 0.002193601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 72 - 68*c + 20*c - 201 + 16*c + 17*c. Let b be p(-9). What is the highest common factor of b and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4490794 is divided by 1967.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 - (8\/10)\/(7\/35) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 34 - -1?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1278 and 16754040.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13866220.\nAnswer: 2, 5, 17, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the second derivative of 25*f**4 - 74*f - 1. Let c(u) = -u. Calculate c(q(g)).\nAnswer: -300*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (27 - -25) + 66 + -102.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + 0)*(9\/(-45) - 2910\/(-300)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1082 + -1078. What is the closest to 2\/9 in 1\/5, -0.4, b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*q - 16*q - 26*q + 57*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 575 and 454775.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 546335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1075*z**2 + 1108*z**2 + 10*z + z - 9*z.\nAnswer: 33*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times -38?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**3 + 6*l**2 - 7*l + 6. Let q be w(4). Let g be 115\/q - 1\/(-2). Solve -b = 3*b + g for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27442*p**3 - 12045*p**3 + 14168*p**3.\nAnswer: 29565*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6)\/8*(-3636)\/(-54)*-2. Let x = s + 232. What is the greatest common divisor of 74 and x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 196 + -194. Let t(j) be the second derivative of 0 - 1\/2*j**u + 1\/3*j**3 + 2*j. What is t(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.24, 0.1, -1.2, 2, 3?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 76*o**2 + 2*o + 3. Let y(x) = 7*x**2. Calculate f(h) + 2*y(h).\nAnswer: 90*h**2 + 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve o**5\/4 - 495839*o**4\/4 + 30728692151*o**3\/2 + 829807081751*o**2\/2 + 11986716834001*o\/4 + 10388560550641\/4 = 0.\nAnswer: -13, -1, 247933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/80*-11*18\/495*(-72)\/3\nAnswer: -12\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 96 - 96.01. Let g = 1681\/9 + -187. Which is the third smallest value?  (a) g  (b) h  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) 0.2  (b) 5\/3  (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3324 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2, 1\/33, -2?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -15?  (a) 2\/79  (b) -0.5  (c) -2\/303  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -2*c**2 - 45*c - 4. Let z be n(-23). Suppose -4*o - 71 = -m - 5*o, 0 = -m - 3*o + 63. Let q = m + z. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -40049, -80126, -120203, -160280?\n\"Answer: -40077*w + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the first derivative of a**4\/4 - a**3\/3 + 16*a + 2. What are the prime factors of h(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 2*f**2 - 3637*f + 350016. Calculate m(102).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 257*m**3 + 289*m**3 + 4341*m**3.\nAnswer: 4887*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dv when two letters picked without replacement from {z: 1, d: 2, v: 1, l: 2, n: 1, i: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 72*k**3 + 15*k**2 + 39*k - 53. Calculate n(1).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.7 + 0.3. Let r be (9 + -17 - -2)*(63\/(-7))\/(-243). Is r at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 472779.2ml to litres.\nAnswer: 472.7792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 35\/8, -10\/7, -30, -2\/15 in increasing order.\nAnswer: -30, -10\/7, -2\/15, 35\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 48.52871ns to milliseconds.\nAnswer: 0.00004852871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x + 4*t + 274, 5*t - 808 = -3*x + 3*t. Suppose 7*u + 3*u + x = 0. Is 1354\/(2\/4 - u\/18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -3*t**2\/2 + 1231881*t\/4 + 307971\/2 = 0.\nAnswer: -1\/2, 205314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 95 + -87.2. Let c = y - 8. Let g be (-2)\/(-10) + (-133)\/(-35). Sort g, -1\/2, c in descending order.\nAnswer: g, c, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 277*m = 272*m + 15. Suppose -3*d - 57 = -5*z, -m*z - 3*d + 0 = -39. Calculate the remainder when 104 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes before 7:07 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**13\/j*j\/j**(1\/7)*(j\/(j**(-2\/27)*j))**(-2\/97) assuming j is positive.\nAnswer: j**(235682\/18333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 59536085 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**2 - 25*w - 27. Calculate v(-16).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(343) + (sqrt(343) + sqrt(343) + -2*sqrt(343) + sqrt(343) + 0)**2 + 1*(-1 + sqrt(343)) - (-2*(-1 + sqrt(567))**2 + (2*sqrt(567) + -2 - sqrt(567))).\nAnswer: -31*sqrt(7) + 1480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -370*r**2 - 233*r + 233*r + 341*r**2.\nAnswer: -29*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.312588 + 0.287412. Let o be (4\/(-14))\/((-3)\/(-7)). Let w = -3 - -2.8. Which is the closest to o?  (a) w  (b) -3  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -8 + 34303397?\nAnswer: 34303389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 31586879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5516231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8439572.\nAnswer: 2, 19, 293, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9*(19 - -9)*((-5)\/(-6) + -1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 237907915 - -845.\nAnswer: 237908760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(364)*-1*6)\/(sqrt(42)\/(sqrt(36)\/(sqrt(6)*1))))**2*3.\nAnswer: 89856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = m + z - 6, -22*m + 14 = -21*m + 5*z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -2*f**2 + 39*f - 36. Suppose -186 = t - 204. Calculate u(t).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of (-1161)\/(-33) + 10\/(-55)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.295 + -1.705. Let v = -5.8 + 0.8. Sort q, v, 4 in decreasing order.\nAnswer: 4, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 371 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 514144217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Is -32 equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -457366657*q**4 + 333935788*q**2 + 2*q wrt q.\nAnswer: -10976799768*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*-1*((sqrt(245)*2 + 1)**2 + sqrt(245) + 2 + sqrt(245) + -3).\nAnswer: 84*sqrt(5) + 1960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 + -5. Let o = h - -9. Let c = 779\/3 - 259. What is the smallest value in c, o, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4763 - -1071677\/225. Suppose 2370*i = 267*i. Is j >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 222*k**2 - 2*k**4 + 4*k**3 - 4252*k - 4257*k + 8510*k to the form l + o*k**2 + b*k**4 + n*k**3 + q*k and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r + 30. Let x be f(30). Suppose x = -28*w + 24*w + 48. Solve -3*z = 5*n + 18, -3*z + 5*n + 0*n + w = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -178.999 less than or equal to -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**2 + h. Let v(f) = -52*f - 523. Let x be v(-10). Let z(l) = 3*l + 10. Give x*n(p) + z(p).\nAnswer: 3*p**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2655, -10664, -24013, -42702, -66731, -96100?\nAnswer: -130809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 19, -0.4, 0, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 3*j**2 + 12*j - 5. Let w be h(-5). Let g be 590\/w + (2 - 0). Let t = -35 + g. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -h + 4. Suppose -4*l = -h*l + 12. Let t = 144 + -139. Solve 0 = 3*o + 2*o - 4*w + 7, t*w = -l*o - 22 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*i + 30*i + 35 = 0. Let m(t) = t**3 - 7*t**2 + t + 2. Find the common denominator of 61\/9 and m(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1496 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mcmcccmffcf. Give prob of picking 2 f and 1 m.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**3\/3 - 29*g**2\/3 + 272*g\/3 - 832\/3.\nAnswer: (g - 13)*(g - 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 5378351631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -4*i**2 - 16*i + 10. Let w(t) = -4*t**2 - 17*t + 12. Suppose 11*z = -37*z - 288. Let c(a) = z*g(a) + 5*w(a). Let y(u) = -3*u. Give y(c(l)).\nAnswer: -12*l**2 - 33*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of (-6)\/18 + (-874106)\/(-51) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 1442\/13?\nAnswer: 1442\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 4\/2*17004\/759512\nAnswer: 3\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3772529.\nAnswer: 23, 164023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 113610*f**2*k**2 - 49*f**2*k + 184*f*k**2 + 761*f*k + 1384*k wrt k?\nAnswer: 227220*f**2 + 368*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -42, -61, -68, -75, -94, -137, -216, -343?\nAnswer: -530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 193, 277, 453, 763, 1249, 1953?\nAnswer: 2917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 39.370738 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*f + 15132 = f. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**3 - 727*d**2 - 56*d - 40650. Determine v(-727).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 164566 and 3845?\nAnswer: 822830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 smaller than -4855.1178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -736512 by 11508.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the second derivative of -2*k**7\/147 + k**5\/35 - 9*k. Factor m(j).\nAnswer: -4*j**3*(j - 1)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06452 minus 48782?\nAnswer: -48782.06452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*i**4 + 3198*i**3 - 15729*i**2 - 3548730*i - 3529800 = 0. What is i?\nAnswer: -30, -1, 37, 1060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1049 - -1601. Is 23 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -718*a**3*t**3 + 2065*a**3 - 12656*a**2*t**2 - 52334*a*t**5 wrt t?\nAnswer: -4308*a**3 - 3140040*a*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5493009 to the power of 1\/3, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 336902221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -30143.76259 + 30144. What is b rounded to two dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 278808 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.368 and 326?\nAnswer: 325.632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 113900?  (a) -4  (b) -1\/5  (c) 3  (d) 2  (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are -4371\/569 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 3*f - 13. Let b(v) = -v + 1. Let c(h) = -6*h + 5. Let k(s) = 5*b(s) - c(s). Calculate u(k(j)).\nAnswer: 3*j - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1632 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:03 PM and 10:02 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qyy when three letters picked without replacement from {l: 2, q: 6, m: 5, y: 3, n: 1}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6715 and 17765?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r + 3*g - 12 = 0, -9*r - 3*r + 11*r + 3 = -19*r + 5*g - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 33*o - 97 - 497. Let s = -6 + 2. Let j be o\/10 + -1*s\/20. Sort -2, 0, 1, j in descending order.\nAnswer: j, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2935 is divided by 107?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 41 - 61. Suppose 0 = d + 2, 5*a + 46 = -4*d + d. Let p = a - r. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 40\/22 - 8\/(-44). Suppose f*s + 12 + 48 = 0. List the prime factors of -5*-3*(-4)\/s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 44925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 474 = 26*n - 384. Calculate the remainder when n is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 7*x**2 - 48*x - 2. What are the prime factors of h(12)?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the first derivative of -2*o**3 + 4*o**2 + 7. Determine z so that y(z) = 0.\nAnswer: 0, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 2*u - 12 = 0, -4*u = i - 0*u - 3. Let g be 3 + (102 - 2) - i. Suppose 3*w + g = 8*w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 6*w = -6. Let z(a) = a**3 + 9*a**2 - 11*a - 9. Let i be z(-10). Suppose -5*x - w = m, x - i = 2*x. Solve m*c + 23 = 8 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/24, -0.4, 0.069 in decreasing order.\nAnswer: 0.069, -1\/24, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 286425 divided by 57285?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -13594, -13596, -13600, -13606, -13614, -13624?\n\"Answer: -g**2 + g - 13594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, g: 2, y: 7, u: 7}. Give prob of picking 3 y.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 7992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 35\/210 + (2\/2)\/(-1)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 5 + 4)*(1513*o + 2241*o - 476*o) to z + f*o and give f.\nAnswer: -13112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46*u**3 + 287285*u**2 + 241*u - 2 - 287285*u**2 - 241*u.\nAnswer: -46*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {a: 1, w: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*u**3 + 0 + 0 + 5663*u**3 - 6*u**2 + 1 - 5675*u**3 - u**2 + (0*u - u**2 + 0*u)*(-u - 2 + 2) to the form t + z*u**2 + y*u + n*u**3 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -499*b - 791 = -506*b. Suppose 2*f - 87 = -f. What is the remainder when b is divided by f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 62 + -67. Let h be (12\/60)\/(2\/r). Sort h, -3, 0.12 in increasing order.\nAnswer: -3, h, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3006 smaller than 3002?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the second derivative of 16*z + 1\/195*z**6 + 1\/273*z**7 + 0*z**5 + 0*z**4 + 0*z**3 + 0 + 0*z**2. Factor x(y).\nAnswer: 2*y**4*(y + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 + -2)*(-1 - 4). Is y*264 + (-1 - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0\/(-18))\/((-9)\/(108\/24))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (16 - -1) + 4 + (176 - 185)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -75548903*h**5 + 30139*h**2 - 376*h wrt h?\nAnswer: -4532934180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -b**5 - 2*b**5 + 5*b**5 + (2*b - b - 3*b)*(2*b**4 + 3 - 3) - 3*b**3 + 3*b**3 - b**5 + (-5 + 5 + b**2)*(3*b - 2*b**3 - 3*b) + 4*b**5 + 39*b**5 + 19*b**5.\nAnswer: 57*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 4250829 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 238150157 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3274027.\nAnswer: 23, 283, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4208 + -4207.5. Which is the second biggest value?  (a) l  (b) -38  (c) 2\/9  (d) -0.4  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 378951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 730 = -4*c - 0*c - 5*h, -742 = 4*c - h. Let g = c - -186. Solve 1 = -s - g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*i**2 + 5244*i - 193968.\nAnswer: 4*(i - 36)*(i + 1347)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 117 - 113. Solve 8*m + x = 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 4*m = -5, -3*m = -5*n + m - 35. Let w be -4 + n\/(6\/(-8)). Solve h = w, 0*g - 15 = 3*g - 5*h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rooo when four letters picked without replacement from {r: 5, o: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7 - -5. Let m(z) = -4*z - 1. Calculate m(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7 - 45. Let v = 102 + z. Solve -7*j + v = 5*x - 2*j, 5*x + 4*j = 45 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:16 PM and 3:44 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 631147*o + 3 + 15 - 631149*o. Suppose 0 = n + n - 14. Let c be f(n). Solve 5*s = k - 2 - 5, -c*k - 8 = -2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1960.55 centuries in years?\nAnswer: 196055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-19)\/3 + 18\/(-27). List the prime factors of 29\/3 + u\/(-21).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-132)\/198*-3*(-16 + 3).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13247043 to the power of 1\/2, to the nearest integer?\nAnswer: 3640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -7\/32961?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 0 + 1)*(-7 + 7 + 10*i)*(17*i**3 - 17*i**3 - 3*i**4) + i**5 - 2*i**5 - 8*i**5.\nAnswer: -219*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 2*z**2. Let r(a) = -678*a**2. Give w(r(i)).\nAnswer: 919368*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7001 + -101. What are the prime factors of n?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21397933.\nAnswer: 19, 131, 8597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**3 - 5*l**2 - 5*l. Let j be n(-4). Suppose -5*a + j*a + 2 = 0. Suppose 7 = s + a*w, 5 = 4*w - 3. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 14779*g - 7525. What is w(1)?\nAnswer: 7254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes before 8:15 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l. Let u = 729 + -724. Let j(f) = -u - 39*f + 6*f + 36*f. Determine j(o) - 2*x(o).\nAnswer: o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the second derivative of -1316*g**4\/3 - 4391*g**2\/2 - 527*g. What is the first derivative of r(d) wrt d?\nAnswer: -10528*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the third derivative of -z**8\/1008 + z**6\/72 - z**4\/18 - 128*z**2. Solve p(n) = 0 for n.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -302*c - 121. What is the thousands digit of y(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 2*z**2 - 13*z + 16. Let u be r(5). Let f be u - -5 - -2 - -1. Let s(l) = -l**3 + 10*l**2 - 6*l - 5. Calculate s(f).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -2\/5  (b) -2\/3  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*s**3*y**2 - 8*s**3 - s**2*y - 40*x*y**2 - 12*x*y + y**2 wrt y.\nAnswer: -6*s**3 - 80*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -14131396*x**3 - 59*x**2 - 17592*x - 2.\nAnswer: -84788376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*((-190)\/(-90) + -2)*30.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*l + 27*l + 255 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*m**3 + 3*m**3 + 2*m**3)*(-4*m + 0*m + 6*m)*(6*m - 3*m + 3*m - 2*m - 2*m + 3*m + 2*m - 4*m + 0*m + (-2*m - 5*m + 5*m)*(3 - 3 + 2)).\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3\/(-2)*4\/(-3). Let l be i*((-14)\/(-4) - 2). Find the first derivative of 4 - 5 - 2*z + l wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-294)\/60 + (-3)\/30\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:30 AM and 2:39 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.76 rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15 and 1395405?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 1638, 13 in decreasing order.\nAnswer: 1638, 13, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/11, -119760, 4 in descending order.\nAnswer: 4, -2\/11, -119760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:21 PM and 4:02 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(3*(-25)\/30)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aarm when four letters picked without replacement from {n: 6, i: 2, a: 5, m: 1, r: 1}?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p**(9\/5))\/p)\/(p*(p*p**33*p)\/p*p))\/((p**(-1\/6)*p)\/p)**(-2\/39) assuming p is positive.\nAnswer: p**(-20012\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -146 = 4*v + 3*o - o, 40822*v + 5*o + 50 = 40821*v for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j**4\/2 + 9*j**3\/2 + 7*j**2\/2 - 9*j\/2 - 4 = 0. What is j?\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 37 divided by 4\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes after 8:57 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.3 - -4. Let r = 17077\/7 - 2439. Which is the biggest value?  (a) f  (b) r  (c) 3  (d) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 1137718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 368.68 + -341.2. Which is bigger: m or 2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 7, e: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (11 - 32 - (1 + -7)) + 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 1537196752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 44262286633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28807428.\nAnswer: 2, 3, 13, 47, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m + 10. Suppose -5*l = -k - 3*k - 15, l - 3 = 5*k. What is c(k)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-8)\/(-20) - 85\/25. Let d = -0.9 + 0.2. Let s = -3.3 + d. Put g, s, -0.5 in increasing order.\nAnswer: s, g, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 458 (base 13) to base 11.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 116777890.\nAnswer: 2, 5, 11677789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*g**0)\/g*g)\/(g**(-15)*g*g))\/((g\/g**(-32)*g)\/g)**(1\/15) assuming g is positive.\nAnswer: g**(59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -12066*m**5 + 8611*m**2 wrt m?\nAnswer: -723960*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15682537, -15682538, -15682539, -15682540, -15682541?\nAnswer: -15682542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -318902*z**2 + 1 + 318928*z**2 - 1.\nAnswer: 26*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -147*f**2 + 3\/2*f**5 + 540 + 234*f + 12*f**4 - 93\/2*f**3 = 0. What is f?\nAnswer: -10, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7934717952.\nAnswer: 2, 3, 7, 97, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 79288, 79325, 79388, 79477, 79592?\n\"Answer: 13*j**2 - 2*j + 79277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3 - -8)\/(-10)*(1 + -1). Sort f, 71, 3 in descending order.\nAnswer: 71, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*m**2 + 7*m**2 + 12*m + 4*m**3.\nAnswer: 4*m**3 + 12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3721*z + 3742*z + 378 = 0 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes after 3:56 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssnsgzsy. What is prob of picking 2 s?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4138 + 7021. Calculate the remainder when l is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6885659.\nAnswer: 11, 625969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 281 is divided by 67.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.3, 1\/38, -6322\/9?\nAnswer: -6322\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((4\/(-50))\/(2\/(-20)))\/(68\/(-170))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 15) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u - 3. Let q be m(3). Suppose -5*h + 8 + 12 = q. Differentiate z + 3*z - 5*z - h - 1 with respect to z.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**3 - p**2 + p. Let h be ((-2)\/(-2))\/((-2)\/28). Let u be 12\/(-42) - 32\/h. Suppose -11 = -u*f - 9. Give b(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(8\/48) + -11. Sort 0, j, 4, -4 in ascending order.\nAnswer: j, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y - 57 = 38*o - 33*o, 0 = 4*o + 10*y + 38 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jxjxjj. Give prob of picking 1 j and 2 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3252 - 1979. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/57332 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 + 6. Suppose -v - 10 = -3*t. Suppose -3*d + 0*o = t*o - 46, 8 = 2*o. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-128)\/((-14848)\/(-870)) - 9\/(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-three halves of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 105 = 3*r, 175 = -5*r - 2*q - 0*q. Let x = r - -43. Let u(a) = 2*a - 12. Determine u(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 3\/545 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 419 + -420. What is the biggest value in 3, q, -7\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 6, n: 8, d: 4, a: 1, m: 1}. Give prob of sequence da.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5847300 divided by 18.\nAnswer: 324850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s**(-1\/7)*s)*s)\/(s*s**(-1\/9))*((s\/((s*((s\/s**(2\/3))\/s*s*s)\/s)\/s)*s)\/s)\/((s\/(s*s*s\/s**(-4)))\/s)*(s**5\/s**5)**(1\/8) assuming s is positive.\nAnswer: s**(499\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**2 - 3*p + 2. Let x be h(2). Let t(u) = u**3 - 6*u**2 - 6*u - 6. Let i be t(7). Suppose 3*f + 4 = i. Are x and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 2*f**5\/9 + 106*f**4\/9 + 196*f**3\/3 + 1144*f**2\/9 + 752*f\/9 = 0.\nAnswer: -47, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xll when three letters picked without replacement from ljjllllxllljllll?\nAnswer: 11\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x and 1 o when three letters picked without replacement from fffxeoxxfnfof?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*d**3 + 9*d - 53*d**2 + 29*d**2 + 24*d**2.\nAnswer: -3*d**3 + 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -46 + 103. What is the second derivative of -2 + 16*n**2 - s*n**4 - 16*n**2 + 50*n**4 - 7*n wrt n?\nAnswer: -84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*d + 3*d. Let n(b) = -9*b + 281. Let m be n(28). Suppose d = -3*h - 2*h + 3*o + 78, m = 2*h + o. Solve -3*l - h = 2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -77, -292, -679, -1262, -2065?\nAnswer: -3112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 221 - -11. Suppose -163 - n = -5*j. Let v = j + -241\/3. What is the biggest value in -2\/9, v, -0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 - (-713)\/690*12\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11001102002200 (base 3) to base 8.\nAnswer: -10156102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = h - 3*z + 4, -5*z - 4 = -3*h. Let q be h - 5\/(10\/(-4)). Let m = 97\/356 - 2\/89. What is the closest to q in -2, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 10577, 10676, 10965, 11540, 12497, 13932, 15941, 18620?\n\"Answer: 16*a**3 - a**2 - 10*a + 10572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence amv when three letters picked without replacement from {v: 5, a: 3, m: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 76114, 152216, 228318, 304420, 380522?\n\"Answer: 76102*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 17 = l, -4*l + 4*a + 19 = -l. Let u be l\/(-12)*(-2 + -2). Is 3 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -d**5 - 2*d**4 - 17084*d**2 - 8*d + 53 wrt d?\nAnswer: -20*d**3 - 24*d**2 - 34168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**2. Let f be 2\/(-4) + (-4)\/(-8). Suppose 5*w + 1 - 11 = f. Let u(a) = -8 + 8 - w*a. Determine j(u(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 1 = -3*m + 6*z, -m + z - 1 = 0. Let r = 8 + m. Suppose 0*p + 2*s = r*p - 14, -4*s = -5*p + 22. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -293*u - 116. What is the units digit of h(-100)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (20 - (-10)\/10)\/1. Solve 20*d + 5 = t*d - 3*s, -5*s + 20 = 4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -4*p - 3*p + 5*p + 4*p. Let x(l) = -22*l**2. Give x(k(q)).\nAnswer: -88*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:40 PM and 7:07 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/(-10))\/((-48)\/160)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 2*c**2 - 4*c + 6. Let r(m) = 3*m**2 - 5*m + 7. Let j(x) = -3*r(x) + 4*t(x). What is j(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2380 divided by -476\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is l in 4*l**4\/5 + 102248*l**3\/5 + 204484*l**2\/5 + 20448*l = 0?\nAnswer: -25560, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.0676 - -12.8076. Let j = 4.74 - 5. Let w = j - m. Which is smaller: w or 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3912 is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the third derivative of -d**6\/60 - 1121*d**5\/60 - d**4\/8 - 13*d**3 - 2493*d**2. Find the second derivative of z(p) wrt p.\nAnswer: -12*p - 2242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0518916368 rounded to five dps?\nAnswer: -0.05189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: ((-2664)\/(-740))\/(((-11109)\/70)\/(-23))\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4960 = 5*l - 9*l. Find the common denominator of (-1)\/((-30)\/4) - l\/825 and 151\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, s: 1, z: 1, c: 1, g: 2, w: 1}. Give prob of sequence wgf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 418 divided by -102\nAnswer: -209\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 44\/66 + 10\/3. Calculate the highest common factor of t and 48.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1072 + -737. Let w = -334.99999812 + n. What is w rounded to seven dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8239922 is divided by 380.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70) + sqrt(70)*-2)\/sqrt(10) - (-1 + sqrt(7) + 2).\nAnswer: -2*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + x = -25, -4*k - 108*x - 8 - 35 = 41 - 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/27485003 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 14*m - 4*m**2 - 8*m**2 - 65*m wrt m.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.1 - -5. Let w = f - 0.5. Let t = -11243\/56 + 1605\/8. Which is the biggest value?  (a) w  (b) -2  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 76739, 152790, 228841, 304892?\nAnswer: 380943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6046 (base 7) in base 9?\nAnswer: 2774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 4 - (-323)\/(-152).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**2 + 304*l - 604.\nAnswer: -(l - 302)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*k + 4*k + 4. Let y be (k\/3)\/(4\/174). Let a = y - 19. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 185454067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s + 4*i - 356, -s + i = 2*i + 361. Let a = -9308 - -55715\/6. Find the common denominator of (-2)\/3 + (-1130)\/s and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -10516*k**2. Let j(m) = -89*m. Determine j(w(i)).\nAnswer: 935924*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**(-1\/6))\/(w*w**3))**(2\/129) assuming w is positive.\nAnswer: w**(-17\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 8*d - 6. Let n(t) = 4*t - 3. Let s(a) = -11*n(a) + 6*v(a). Let i be s(2). Suppose -i*j = -0*j, 4*u - j = 16. Solve z + u = 2, 3*z = -3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*z + 5 = 36*z + 5*m, -5*z + 2*m = -12. Solve -q - 11 = -z*o, -4*o + 3*o - q = -1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1*-3*(-2)\/(-6). Let y(f) = f**2 - 4*f - 56. Let v be y(10). Sort -4, h, -9, v in ascending order.\nAnswer: -9, -4, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*g - 64 = 26. Let m(q) = -q**2 - 7*q + 24. Determine m(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r - 2 = 3*k, 2*r - 3*r - 1 = 3*k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes after 8:17 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*h - 3*d - 250 = 14*h, 5*h + 4*d = -611. Let l = h - -118. Are l and -3\/131 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -505 - -3523\/7. What is the common denominator of s and 31\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -9*x + 2*x**2 - 8 - 2*x**2 - 4*x**2 + 5*x**2. Let p be q(12). Let r be (-7)\/((-4)\/160*8). What is the highest common divisor of p and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the first derivative of 3*m**2 + 7*m - 1. Find the first derivative of u(q) wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -l*q**2 - 12*l - q**3 + 228646*q**2 + 4149 with respect to q.\nAnswer: -2*l*q - 3*q**2 + 457292*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 97, 3, 13 in descending order.\nAnswer: 97, 13, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (2835\/(-4590) + 6\/51)\/(1\/(-43))\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 10?  (a) 3  (b) 0.3  (c) 0.17  (d) -2\/101  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*r + 30 = -6*r. Suppose -l - 4 + r = 0. Calculate the remainder when 43 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/40*(-6)\/(-1)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 21\/4 of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 2*x**2 - 43*x + 16. Calculate p(17).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -81040*u**3 + 58414*u**2 wrt u.\nAnswer: -486240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*l - 877 - 293. Let z = -156 - l. What is the remainder when z is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1617 - 11811 = -373*l for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-3)*9\/(-2). Suppose -z + 8 = 2*z + k, -4*z + 29 = 5*k. Suppose 4*b + r = -z. Which is bigger: b or -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 45 * 0.79.\nAnswer: 35.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*r - r = 80. What is the remainder when r is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 364392?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.11*-252.782\nAnswer: -27.80602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 3*p**2 - 330*p - 670. What is the smallest common multiple of x(-2) and 429?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/6*1\/(42\/36).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -4 - (5 - 1 - 17). Suppose 3*i - 2*n + 6*n = -x, 0 = -n. Does 29 divide i\/(512\/524 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 4, 0, -109 in descending order.\nAnswer: 4, 0, -13, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.05316278 or 25?\nAnswer: -0.05316278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/2983692 and 89\/3288.\nAnswer: 817531608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22, -2, -14, 2, 0 in decreasing order.\nAnswer: 22, 2, 0, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -4*g + z + 19, -4*g - 4*z = -12. Find the third derivative of 4*a**2 - 145*a + 145*a - 47*a**g - 6*a**4 wrt a.\nAnswer: -144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 6, j: 8, d: 1}. What is prob of picking 1 d, 1 p, and 2 j?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 + 7. Let z(l) = l**3 + 6*l**2 + l + 5. Let a be z(-6). Is a >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 122184, 122184, 122182, 122178?\nAnswer: 122172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 84, 86, 88, 90, 92?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 789557631?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*h + 3*m + 7 = 46*h, 29 = 5*h + 4*m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 2026 (base 11) to base 10\nAnswer: 2690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 1\/7, -0.08, -4, -0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -19126806 divided by -2\nAnswer: 9563403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -2\/11, 5, 0.1, 568\/275 in ascending order.\nAnswer: -2\/11, 0.1, 0.2, 568\/275, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 2667*j - 754745. What is m(283)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 3*y - 8. Let n be p(7). Suppose 0 = -14*t + n*t + 73. Let d(r) = -19*r**3 - r**2 - 2*r - 1. What is the remainder when t is divided by d(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1685 (base 11) to base 8\nAnswer: 4146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14489 is divided by 150?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 55363, 55377, 55401, 55441, 55503?\n\"Answer: l**3 - l**2 + 10*l + 55353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 143 and 75452?\nAnswer: 829972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2.4  (b) 2\/17  (c) 18  (d) -1\/6  (e) -69\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -7*r**2 + 5*r - 17. Let b(m) = 4*m**2 - 3*m + 9. Let q(n) = 5*b(n) + 3*i(n). Find the first derivative of q(t) wrt t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12221221102220 - -20?\nAnswer: -12221221102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -47, -44, -37, -26, -11?\n\"Answer: 2*p**2 - 3*p - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -25752323.4 to the nearest ten thousand.\nAnswer: -25750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*a - 3*v + 22, 0*v - 37 = -5*a - 3*v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*s**6 - 16*s**4*u - 2*s**3 - s**2 + 3*u - 12 wrt s?\nAnswer: -600*s**3 - 384*s*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 1\/987662?\nAnswer: 1\/987662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 - 0. Let d = -2 - -5. Let p(l) = -4*l - l + d + 3*l. Give p(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4172047424 + 3?\nAnswer: 4172047427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2042 + -2032. Let g be -1601 + (1 + 0)*-1. What is the common denominator of 59\/26 and ((v\/48)\/5)\/(12\/g)?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 12, 9*c - 14*c = -3*z + 17. Sort c, 2, 5, -5, 181 in ascending order.\nAnswer: -5, c, 2, 5, 181","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the third derivative of 4*y**5\/15 + 13*y**4\/24 + 13*y**3\/3 - 62*y**2. Is p(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.36 - -0.14. Let s = 0.37 + -3.97. Let j = -4 - s. Which is the second biggest value?  (a) k  (b) -2\/15  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:25 AM and 4:30 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1118, 2234, 3352, 4472?\n\"Answer: d**2 + 1113*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3833 - 3644.98. Let j = -188 + a. What is the second smallest value in j, 2\/7, -2, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 9861 and -0.4?\nAnswer: -3944.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 0*b + 20 = 0. Suppose -2*f + b*y + 154 = 0, 0*y = -5*f - y + 385. List the prime factors of f.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.2 - -2. Let x = -207 + 212. Let n be ((-1 + 0)*1)\/(-3). Which is the second biggest value?  (a) n  (b) x  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2516 greater than or equal to -2517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -46 + 56. Put 2, s, 1 in descending order.\nAnswer: s, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 30\/(-10) + (-6 - 1). Let o(u) = u**3 + 10*u**2 + u + 7. Let a be o(q). What are the prime factors of (2\/a)\/(2\/(-84))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -111 - -1455. Let f be p\/(-1197) - (-4)\/(-6) - -2. Factor -f + 2\/19*y**2 + 2\/19*y.\nAnswer: 2*(y - 1)*(y + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -154?  (a) -2  (b) 5\/2  (c) -3\/4  (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*(t*t*t**(7\/2)*t)\/t)\/(t\/t**(-3\/8))*(t\/((t\/(t\/((t*t*t\/t**(-1\/2))\/t))*t)\/t))\/((t*t**6)\/t) assuming t is positive.\nAnswer: t**(-19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1216 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -65 + 70 + -1 + (0 - -6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1e - -5914b?\nAnswer: 59169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1835873?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -3*j**3 + 5*j**2 + 1215*j - 2435. Calculate c(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 241 + 15?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -169 - -168.8. Let l = 0.07 - 3.07. What is the closest to l in 4\/5, 3\/8, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 187, 736, 1651, 2932?\nAnswer: 4579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 53500.03mm to kilometers.\nAnswer: 0.05350003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and -233.\nAnswer: -932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-9)\/18*(5 - 17)\/3. Solve -z + 2 = -j, -h*j + 20 = -3*j - 5*z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 541760664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5*-534019.\nAnswer: 267009.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 7581805757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 92073906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4 and -625?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 387*a + 5151. Let l(k) = 378*k + 5151. Let n(i) = 5*l(i) - 6*r(i). Differentiate n(t) wrt t.\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {j: 1, q: 11, w: 1, t: 4}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 6b44 + 2?\nAnswer: 6b46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 2607.393t?\nAnswer: 2607393000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 3, -370 in decreasing order.\nAnswer: 3, -3, -370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 277*l**5 + 63*l?\nAnswer: 5540*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 137802 divided by -10?\nAnswer: -68901\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**2 + 4*l. Let f be t(-9). Let j = 395 + f. Let r = 845 + j. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 654.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1617)\/4410*(-2)\/11?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -m*v*y**2 + 11*m*v + 94*m*y**2 - 57*v*y**2 + 622106*v*y + 31*y**2 wrt y?\nAnswer: -2*m*v + 188*m - 114*v + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 18711949?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 166352976.\nAnswer: 2, 3, 139, 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/2*-6 + 0. Suppose 5*l + m = -14. Is -5 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 2606841.\nAnswer: -2\/2606841","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 0 - 4)*(-4*a - 2*a**2 + 4*a) - 4*a**2 + 3*a**2 + 2*a**2 - 6*a**2 + 5*a**2 - 7*a**2 + 4*a**2 - 3*a**2 - 2*a**2 as i*a**2 + r*a + k and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 6, r: 2, v: 4}. What is prob of sequence uvuu?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-3 + (3*(sqrt(7) - sqrt(7)*-1))**2).\nAnswer: -996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 245479 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 156759823\/372 - 421397. Calculate the common denominator of -143\/18 and x.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 13*(4 - (-6)\/(-2)). Suppose 5 = -4*n + s. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 1 e, and 1 v when three letters picked without replacement from {w: 1, e: 2, v: 4, d: 2, q: 3}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 5bd71b (base 15) to base 9\nAnswer: 8244538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (-6 - (4 - 9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of 7*o**7\/75 + 427*o**6\/150 + 3469*o**5\/150 - 183*o**4\/5 + 108*o**3\/5 + 243*o**2. Factor d(k).\nAnswer: 2*(k + 9)**2*(7*k - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.24 and -297.6.\nAnswer: -297.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 - -155a1?\nAnswer: 155a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes before 11:45 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -27 + 94 + 76 - 343*o**2 + 99 wrt o.\nAnswer: -686*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -177399*m**3 - 78367 wrt m.\nAnswer: -532197*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 20 = 3*n, 10 = -f + 2*f + 2*n. Let i be 5 + (-5 - -12) + f\/2. Suppose -16*z + i*z + 2235 = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -248, -496, -740, -980, -1216, -1448?\n\"Answer: 2*q**2 - 254*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-3)\/(-2))\/((-7)\/518). Let t = -75 - y. Suppose 4*q = 7*q - t. Solve -8*j + q = -4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-5)\/(10\/8) + (-3 - -37). Suppose -u*x + 48*x = 2304. What is the remainder when x is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 - 2.2. Let y = 1299 - 1305.59. Let v = 6.79 + y. Which is the closest to v?  (a) 0.3  (b) -1\/3  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that 62*n**2\/9 + 11704*n\/9 + 6330 = 0.\nAnswer: -5697\/31, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 156 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 0*x - x + 7 + 12*x. Let u(i) = 35*i + 8. Let r(c) = -29*c - 7. Let g(t) = 5*r(t) + 4*u(t). What is -9*g(s) - 4*j(s)?\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**2 + 249*f + 29571. What are the prime factors of j(0)?\nAnswer: 3, 9857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*s**4 + 512*s**3 + 4244*s**2 - 4760*s.\nAnswer: 4*s*(s - 1)*(s + 10)*(s + 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39892 is divided by 6368?\nAnswer: 1684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 = 9*o - 26. Suppose -o*n + 1171 = -365. Let d be n\/21 + -2 - (-8)\/(-56). Solve -d = 2*x - 17 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 372 = 7*i - 3*i. Calculate the remainder when i is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3b (base 14) to base 4.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = 6*c + 240. Let v be 1\/((-4 + 1)\/c). Differentiate z**4 + v - 27 + 15 with respect to z.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -2*y**2 + 197*y + 608. What is x(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 58 divided by 3875.\nAnswer: 58\/3875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*p + 4*p + 0*p)*(2 - 3 + 0)*(-44*p**2 - 720*p**2 - 2*p**2) to o*p**2 + l*p**3 + n + x*p and give l.\nAnswer: 1532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 17 = -2*f + 51, f + i - 340 = -4*i for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 317\/2 - 160. What is the smallest value in 3\/5, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13637 is divided by 6812?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/14*(-12)\/(-9)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**2 + 3*g + 4. Let u be t(3). Suppose -45 = u*l - 1573. Is l\/8*(-1 + 5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 111.4 + -111. Which is the closest to -2?  (a) -1\/2  (b) -17  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2417*j**2*t**2 + 71*j**2*t - 5*j wrt t.\nAnswer: -4834*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(3\/10)\/v*v\/v**(-8)*v*(v\/(v*v**(-2\/7)))**(-3))\/(v**(-3)*v**(-2\/15)*(v**(2\/9))**(7\/2)) assuming v is positive.\nAnswer: v**(6803\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -26 - (-136 + 134 + (1 - -20) - 11)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 + 6. Let v = 7.91 - -0.09. Let o = v + -5. What is the nearest to 1\/3 in f, o, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 221101000 (base 3) to base 12\nAnswer: a853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.14 - 25378908135\nAnswer: -25378908134.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1556761\/504050 - -4\/14825. Calculate the common denominator of k and 33\/4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 16*o - 61*o + 18*o + 60*o. Let z(r) = -3*r**2. Calculate x(z(i)).\nAnswer: -99*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (7*f + 3*f - 2*f)*(-2 - 3 + 4) as m + q*f and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) 3  (b) 0.5  (c) 22\/3  (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 120 = 4*u, 5*u - 5 + 130 = 5*c. What is the lowest common multiple of 6 and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 36\/11 and 32\/4875651?\nAnswer: 4875651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**2 - 4*r. Let t(y) = 4*y. Let g(m) = 2*q(m) + 3*t(m). What is the least common multiple of g(-3) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 120575*-0.4.\nAnswer: -48230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4487185 and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/3)\/(4\/12). Sort x, 10, -1 in decreasing order.\nAnswer: 10, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) - (sqrt(10)\/sqrt(2) + -2)**2) + 1.\nAnswer: -8 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 638267 is divided by 8743.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from {q: 1, j: 2, f: 5, s: 1, e: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*h + 319255 + 1040229 = 59*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m**7*m))**(-17) assuming m is positive.\nAnswer: m**119","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**3 - 9*x**2 - 18*x - 239. Give f(0).\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add together 28.8 and 0.7.\nAnswer: 29.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -52 + 48. Let u be 15 + -12 + 1\/(1\/q). Let w(i) = 2*i - 1. What is w(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 3273, 3279, 3289, 3303, 3321, 3343?\n\"Answer: 2*u**2 + 3271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*i**5\/17 + 4*i**4\/17 - 6*i**3\/17 - 16*i**2\/17 - 8*i\/17 = 0. What is i?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-112)\/504 - (1 + 182\/(-90)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**3 + 84. Let n be i(0). Suppose 72*d - n*d = -3948. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 2*a = 0, 0 = 3*w + 3*a - 4*a. Solve 0 = 4*c - w*c - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 - 6 = s. Let f(k) = -k + 12. Let b be f(12). Suppose -3 = -r - b*r. Are s and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/30*(-165)\/(-4)*-2)\/(105\/(-140))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3860405 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 1\/5, -2.1, -3, -0.01?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 308 is divided by 58.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 851140 divided by -2\nAnswer: -425570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 62.547 to 0 dps.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -70 + 66. What is the closest to 0 in 11, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 673.412 days to hours.\nAnswer: 16161.888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from toototoo. Give prob of sequence oott.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h + 5. Let q be n(-4). Let o be 0\/2 + 0 - q. Let k be 2 - o*(4 + -1). Solve 0 = -3*l + 5*y - 22, k*l - 3*l = y - 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, g: 1, q: 2, e: 1}. Give prob of sequence qq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110000111010100101010 (base 2) to base 7.\nAnswer: -16424025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22417830.\nAnswer: 2, 3, 5, 79, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 smaller than 73\/6147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -876.\nAnswer: 1\/876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2311 or 6064?\nAnswer: 2311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-46)\/(-161))\/(2\/14). Suppose -4*f + 3*a = -f + 6, 0 = s*f - 3*a + 8. Solve -f*l - 2 = 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 16) to base 5\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/7, -1\/9, 1, 22, -0.4 in descending order.\nAnswer: 22, 1, -1\/9, -0.4, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 2*q**2 - 2*q + 2. Suppose -3*u = -3*n - 3, -2*u + 6*u - 14 = -n. Let l be k(u). Solve -3*r + 5 = b, l = -3*b + 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iwizwwizizzizziziwwi. What is prob of picking 2 w and 1 z?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*m**3 + 8*m**3 + 7*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 114412 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/(-4) + (-70)\/8. Let c be (-9*3\/m)\/(3\/2). Let s(z) be the third derivative of z**6\/120 - z**5\/15 + z**3\/6 + 2*z**2. Determine s(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -425 + 772. Suppose -f + d = 2*q + 95, -3*q - 1273 = -5*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 3304960, 6609922, 9914884, 13219846, 16524808, 19829770?\n\"Answer: 3304962*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -7*w**3 - 15*w**2 - 12*w + 1. Is l(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -552 + 554. Suppose 3*d - 7*d + 5*h - p = 0, -5*h = 2*d + 16. Let c(k) = -9*k. Calculate c(d).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g. Let j(r) = r**2 + 11*r + 13. Let i be j(-9). Let k be n(i). Let a(q) = q + 3. What is the remainder when 30 is divided by a(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 272 is divided by 47.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -5*i**5\/6 - 975*i**4\/2 - 9970*i**3 - 169450*i**2\/3 - 47000*i = 0.\nAnswer: -564, -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1773\/5093 - 1\/2778. What is the common denominator of h and -99\/8?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1a3 (base 11) to base 12.\nAnswer: -176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 35 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(-2 + sqrt(684)*-1) + 2 + -2)*3)**2.\nAnswer: 7776*sqrt(19) + 222912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*t**2 + 110*t + 585.\nAnswer: 5*(t + 9)*(t + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r + 2*h + 37 + 47, -2*r + 46 = h. Suppose -r = -4*j + 2. Let t(y) = 6*y + 4. Is t(j) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s = -5*g + 25, s = 2*s - 2*g + 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -445*j**3 + 910*j**3 - 466*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f - 27 = -5*q, 3*f + q - 23 = -2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -46021 by 121.\nAnswer: -46021\/121","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**3 + 5*n**2 - 4*n + 6. Let v be y(4). Suppose -5*z + 21 = v. Suppose z*p - 6 = 3. Solve -s = 0, 0 = -3*w - 4*s - 0 + p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 16*l**3 - 2261*l**2 + 633*l + 10152. Determine w(141).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/15 - (-13)\/(-130).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -62*o. Let b(n) = -136*n - 29. Let r(x) = 28*x + 6. Let v(i) = 6*b(i) + 29*r(i). Calculate v(a(c)).\nAnswer: 248*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 19 = -5*s - 2*u, -3*u - 18 = 5*s. Which is the closest to 0.1?  (a) s  (b) 0.08  (c) 0.4  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - (0 + 3)) + -6 + (-2 - -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nze when three letters picked without replacement from {o: 1, z: 1, n: 1, q: 5, m: 3, e: 1}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**3 - 3*l**2 + 4*l + 5. Let q be c(-3). Let s = 171 + q. Does 22 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -4*d**3 + d**2 - 1. Let x be i(-1). Suppose x*w = -w + 25. Solve a = 2*a + w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 4*u - 3. Solve -13 = 5*a + 3*z - 4*z, a + u*z = 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**2\/5 - 156*t\/5 + 1056\/5.\nAnswer: 3*(t - 44)*(t - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 divided by -803794.\nAnswer: -19\/803794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v = -4*v - 6. Let y(w) be the first derivative of v - 3\/2*w**2 + 0*w. Let x(o) = -2*o**2. Calculate y(x(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**2 + 9*f - 18. Determine g(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 17920 and 240?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5006384269 to the nearest integer?\nAnswer: 70756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -69 - -99. Let k = n - 27. Suppose 3*a - 269 = y + 87, k*a - 4*y = 362. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1280*d + 646 = 1314*d for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -328 >= -290?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**2 + 365*h**3 + 28*h**2 - 7*h**2 - 364*h**3 + 22*h - 32. What are the prime factors of r(-20)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*m + 64 = 7*m + 15*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 1796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25607545, 51215089, 76822633?\nAnswer: 102430177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:21 AM and 1:40 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**2 + 12*k + 19. Let l be h(-9). Let o be 0\/(-4 - l) - 1*-2. Suppose f = n - 66, n - 88 = -o*f - 31. What is the greatest common divisor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 198347, 793259, 1784737, 3172781, 4957391, 7138567?\n\"Answer: 198283*s**2 + 63*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -2*m + 2*o, 0 = -m + 3*o. Let b(n) = -n**3 + n**3 + n**3 + 1. Calculate b(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**4 - 6*d**3 - d**2 - d - 1. Let j(n) = 1572*n**4 - 6*n**3 - 2*n**2 - 192*n + 1. Let c(o) = j(o) - v(o). Find the third derivative of c(r) wrt r.\nAnswer: 37704*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.12 in -0.1, 8\/7, -0.3, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a, 4*k + 25 = -4*a + 5. Let h = 0.8 - -1.2. What is the fourth smallest value in 7, 5, k, h?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h**2 - 380591 + 373573 + 3*h**2 - 2*h)*(3*h - 3*h - h**3).\nAnswer: -2*h**5 + 2*h**4 + 7018*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-360)\/855*1197\/(-180).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6 + ((-180)\/33 + 0 - (155 - 155)). Find n, given that h*n**2 - 14\/11 + 40\/11*n = 0.\nAnswer: -7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 29455\/8267 - -10\/1181. Find the common denominator of (-2)\/1 + (-648)\/(-186) and s.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 - 83 = 18*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 2964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fjuhiuiiihiu. What is prob of sequence ujiu?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 63760 (base 12) to base 6\nAnswer: 2445000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -7542 or 0.57?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**3 - 7*l**2 + 7*l + 11. Let i(m) = 54*m + 4433. Let a be i(-82). What is z(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10.2651l to millilitres.\nAnswer: 10265.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53 = 3*c + 8*z, 8*z - 14*z = -5*c + 11 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 7*f**4 - 120 + 3*f**3 - 2*f**4 - 2*f**4 + 222*f - 27*f**3 - 81*f**2.\nAnswer: 3*(f - 10)*(f - 1)**2*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2)*((v\/v**(-1\/3))\/v*v)\/v*(v**1\/v*v)**6)\/(((v**(-3)\/v)\/v)**(-26))**11 assuming v is positive.\nAnswer: v**(-4277\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4846616 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -690200 (base 14) to base 12.\nAnswer: -1243908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1475301 (base 11) to base 9.\nAnswer: -4668016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 229, 212, 189, 160, 125, 84?\n\"Answer: -3*a**2 - 8*a + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(2\/5))**(2\/21)*p**(-3\/7)\/p*((p\/((p*p**(2\/5)*p)\/p*p))\/p)\/p assuming p is positive.\nAnswer: p**(-503\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 46 - 31. Let i be ((-4)\/6)\/((-6)\/99). Let f = i + u. Solve -10 = 4*l - f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a meter in millimeters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.41 + 17.41. Let m = -17.000109 + c. What is m rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 64\/(-12) + 3\/9. Let f(y) = -3*y**2 - 1. Let t(b) = 7*b**2 + 2. Give o*f(a) - 2*t(a).\nAnswer: a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/1206 and -79\/7290.\nAnswer: 488430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8\/9 - 5\/36. Let s = -2.968 + -0.032. Sort s, 3, l, -1\/5.\nAnswer: s, -1\/5, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -5*j - 13, 2*z + 3 = -5*j + 2. Let b(n) = -15*n + 18 - 23 - z*n**2 + 10*n**2. What are the prime factors of b(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 27426 and 705240.\nAnswer: 4936680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 748, 1491, 2240, 2995, 3756, 4523?\n\"Answer: 3*x**2 + 734*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 79\/873 + 2\/97. Which is the third smallest value?  (a) 0  (b) 4  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9 (base 16) to base 13\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-144)\/(-918))\/((-88)\/(-99)).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oiio when four letters picked without replacement from {o: 5, i: 2, y: 6}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/12 + (-2)\/6. Suppose j*d - 3*d + 39 = 0. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 17270*z. Let i(j) = -1048*j. Calculate b(i(l)).\nAnswer: -18098960*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1872, -5505, -9138?\nAnswer: -12771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1338 a factor of 125517780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x + 4 + 5. Let z(u) = 3*u + 2 - x + 6 - 2*u. Suppose 60 = -9*i + 24. Give z(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1013 + -37494\/37. Is c > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + (6 + -4 - 2) + -6 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -5*p + 13. Let v be w(14). What is v rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 14989, 29968, 44947?\n\"Answer: 14979*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5 - -0.5014.\nAnswer: 1.0014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 - -3. Let y = 2.6 + b. What is the closest to -2\/3 in 2, y, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**(2\/7)\/f)\/f)\/(f\/f**(-2\/5)*f))\/(f**(2\/3)\/((f*f**3)\/f))*(f\/f**(1\/9)*f)\/f*f**(-1\/2)*f*(f**0\/f)**(-30) assuming f is positive.\nAnswer: f**(18653\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001339 rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 70 + -466. Let h = q + 400. What is the closest to 1 in 1, h, 3, -1\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -7*z. Let i(y) = -13*y. Calculate -13*h(u) + 6*i(u).\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 87\/2486 and -101\/110.\nAnswer: 12430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-8)\/(-12)*((2 - 8) + -700). Let o = -470 - w. Factor -o*r**2 + 0 + 2\/3*r.\nAnswer: -2*r*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -23110013333 - 221?\nAnswer: -23110020220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -343 - -1.3.\nAnswer: -341.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -3 + 3 + u. Let g(q) = 2*q**2 + 2*q. Let i(n) = 5*n**2 + 7*n. Let k(h) = 7*g(h) - 2*i(h). Calculate o(k(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rprpprppprp. What is prob of picking 3 r?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**2 + 17*y - 5. Let w be f(-17). Let b(j) = j**3 + 9*j**2 + 7*j - 10. Let s be b(-7). Is 4 a factor of 6\/30 - s\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -z**5\/5 + 152*z**4\/5 - 7212*z**3\/5 + 114912*z**2\/5 - 202176*z\/5 = 0. Calculate z.\nAnswer: 0, 2, 36, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes before 9:47 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -9 - (1 + 2 + -13). Let h(d) = 6*d**3 - d**2 - d + 2. Determine h(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-26 - -4 - -5) + (-51 - -75) + -68?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 22, -1\/21, 0.3 in descending order.\nAnswer: 22, 0.3, -1\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 2*i + 7. Let x(w) = -5*w - 13. Let m(j) = -7*d(j) - 3*x(j). Let g be m(9). Let c be (-1)\/((3\/24)\/g). What is the greatest common factor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 15.1 times 5.71\nAnswer: 86.221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 15*(-5 - 54\/(-10)). Let k be 3\/6*(c - -92). Suppose 0 = -5*i + f + k, 3*f = 4*i - 2*i - 17. Solve y = -4*y + i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**2 - 3*s - 6. Let l be z(5). Suppose 0 = -2*d - d + l*x - 6, 3 = 3*d - x. Factor 2*t**2 + 2*t**3 + 0*t - d + 2*t - 4*t.\nAnswer: 2*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 447885143 to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nai when three letters picked without replacement from aicnj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2.6 - 1.6. Which is the nearest to j?  (a) -3  (b) -5  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7*b**2 - 7*b**2 + 2*b**3)*(-8 + 0 + 6 + (5 - 2 - 4)*(-11 - 1 + 2)) - 3 + 3 + 3*b**3 to the form u*b + a*b**2 + x*b**3 + y and give x.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f**5 - 20*f**4 - 40*f**3 + 220*f**2 - 250*f + 88 = 0. Calculate f.\nAnswer: -4, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-420)\/(-90)*(-48)\/(-28).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -2*f**3 + 3*f**2 + 32. What is p(5)?\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v + 1. Let t(j) = j**3 - j + 1. Calculate g(m) - 2*t(m).\nAnswer: -2*m**3 + 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 152 - 54 = 0. Let i = 7 - n. Suppose 9 + 7 = 2*l + 4*d, 4*l - 4*d - i = 0. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 2 = 5*g. Suppose 0 = 4*c + 3*w - 5, 2*w = -4*c - g*w. Suppose -c*f + 25 = -s + 58, -1 = f. Calculate the greatest common factor of 308 and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:32 AM and 12:15 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the third derivative of x**4\/24 + 40*x**2. Let a(s) = -s**3 - 3*s. Let m(h) = a(h) + 3*g(h). Let t(r) = 4*r**3 - 3*r**2. Calculate -6*m(q) - t(q).\nAnswer: 2*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**2 + 22*q - 156. Give j(6).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -17*x - 118. Let s be j(-7). Suppose -w - d + 4 - 1 = 0, 0 = 4*w + 5*d - 8. Let l be s + ((-2)\/w - 27\/(-21)). Solve -l*h - 3*h = 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = -4*j + 3*u, 131*j - 133*j = 3*u + 24 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -237 + 597. Suppose -3*w + 692 = w - f, -3*f = 2*w - x. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**0)**8*w**(-3)*w**(-2\/9) assuming w is positive.\nAnswer: w**(-29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -32339\/2832 - -7\/2832. Let o = -612661\/44 + 13925. Find the common denominator of o and b.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**3 - 13*j**2 + 319*j + 2667. Determine n(-22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**3 - 8*x**2 - 5*x + 9. Let y(j) = j**3 - 8*j**2 + 9*j - 12. Let v be y(7). Let q(c) = c - 9. Let w be q(v). Give k(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 2*t**2 + 9*t + 9. Let j be 21\/(-9)*3\/1. Let d be s(j). Suppose -2*x = 4*y + 2*x - d, -1 = -y + x. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 3*k - 79. Let n be t(9). Which is greater: n or -53?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -3*n + 1. Let r be y(-2). Let t(h) = h**3 + 4*h**2 - 2*h - 3. Let i be t(-1). Suppose i*u = -5*u + r. Let k(q) = -6*q**2 + q. Determine k(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15315445 (base 6) in base 16?\nAnswer: 839d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8625.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - (-4 + 14) - -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2140231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 102070 and 827770?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1489 - 62 = -r. Let f = -1083 + r. Suppose 3*z + f = 7*z. What is the greatest common divisor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r = -2*w - 19 - 4, -14 = 2*r - 4*w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -395*w + 594. Does 19 divide o(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((n*n*n\/(n**(-10)\/n*n))\/n)\/n*n*n*n**(-1\/4)\/n)\/(n**(-1\/15)\/n**9))**26 assuming n is positive.\nAnswer: n**(16237\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00655967 to 5 decimal places.\nAnswer: -0.00656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 4 - 12*f**2 + 23*f - 5*f**2 + 18*f**2 + 2. What is the hundreds digit of b(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 776788 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*w**3\/7 + 848*w**2 - 314608*w.\nAnswer: -4*w*(w - 742)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -2*k**2 - 12*k + 20. Let g be n(-7). Let z be (22\/(-4))\/(g\/(-24)). Let v = -372 - -548. Calculate the greatest common divisor of v and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 + (-12)\/465)\/(54\/15 + -4). What is the fourth biggest value in -2\/13, -5, -0.4, s, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4 - (222\/33 + -3). Which is the second biggest value?  (a) o  (b) -0.4  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l + r = -19, 12*l + 2*r + 33 = -11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 60819?\nAnswer: 60819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -106 - -111. Let g = -758\/7 - -108. Sort u, -2, g.\nAnswer: -2, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 30*o**2. Let j(x) be the first derivative of 0*x**2 - 7\/3*x**3 + 0*x + 68. Give j(n(k)).\nAnswer: -6300*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 4, -6\/37, -0.4.\nAnswer: -0.4, -6\/37, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4843 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - 31 = -b + 3*b - 6, -3*b + 5*r - 104 + 64 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/(-4)*4\/(-30).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.29 times 467389?\nAnswer: -135542.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 69 or 74?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -41550554 (base 6) in base 4?\nAnswer: -10213321012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**2 - 2*z + 2. Let t(y) = 3*y**2 - 7*y + 7. Let r be 10\/(-45) + (2 - 2\/(-9)). Calculate r*t(v) - 7*w(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 14079383 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 3*k**2 + 2*k - 3. Give t(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 444 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -22*v**3 + 1859*v**2 - 531*v + 6. Let m(q) = -24*q**3 + 1858*q**2 - 530*q + 4. Let k(h) = 2*d(h) - 3*m(h). Determine g so that k(g) = 0.\nAnswer: 0, 2\/7, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 2*l**3 + 3*l**2 + 2*l - 5*l**3 + 1 - l. Does 11 divide k(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -5*i + 1111, -2*i = -7*i - 4*p + 1097. Let a = -132 + i. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -114 (base 7) in base 8?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the third derivative of f**4\/12 - 2*f**3\/3 - 62*f**2 - 2*f. Let o be k(2). Solve -5*w + 37 = -4*q, o = -2*w - 3*w - 5*q + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 38\/(-10) + 2 + 33\/(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.02 + 0.18. Let w = -0.2 + c. Suppose j + h - 10 = 3*h, -j - 4*h - 8 = 0. What is the smallest value in 3, j, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11848932 divided by 6?\nAnswer: 1974822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-38)\/1*(35 + (-138)\/4)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/43344 and -155\/7434.\nAnswer: 2557296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the second derivative of d**7\/105 - d**5\/10 - d**4\/6 - 4*d**2 - 5*d. Let q(g) be the first derivative of i(g). Factor q(b).\nAnswer: 2*b*(b - 2)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -41*r - 71. Is 27 a factor of f(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -29\/5, -208, -0.1, 0.1 in decreasing order.\nAnswer: 0.1, -0.1, -29\/5, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1, -19, -63, -145, -277, -471, -739?\n\"Answer: -2*a**3 - a**2 - a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**3 - 9*r**2 + 8*r + 2. Let i be t(8). Find the first derivative of 4 - 5 + 0*d**2 - 2 - d**i wrt d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3285?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 384 + 280 - 4691*x - 665 to the form u + p*x and give p.\nAnswer: -4691","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.12, 5, -931, -0.1, -1, 2\/5 in ascending order.\nAnswer: -931, -1, -0.12, -0.1, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 6193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6*5\/(-90))\/(2\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6853354199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*s**3*v**4 - 87*s**3 + 2771*s**2*v**6 + 13*s*v**2 wrt v?\nAnswer: -72*s**3*v + 332520*s**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3\/67 + 46\/469. What is the nearest to m in -1\/4, 0.6, -0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-123988*u**4 - 23*u + 3 + 17*u + 123990*u**4)*(0 + 1 + 1) in the form w + l*u + q*u**3 + g*u**4 + m*u**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/7 of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p - 16 = 4*x, 0 = 3*p - 3*x - 24 + 9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.007492 to four decimal places.\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 248096 and 217084.\nAnswer: 1736672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zneemnee. Give prob of picking 1 e and 1 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w + w - w)*(-8*w + 3*w - w).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-2\/33)\/f)**(-1\/14))**33 assuming f is positive.\nAnswer: f**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, 303095, -4, 0.3, -2 in increasing order.\nAnswer: -17, -4, -2, 0.3, 303095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 22665605477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -4*f**3 + 47*f**2 - 55*f - 502. Determine i(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*t**4 + 544*t**3 + 6281*t wrt t?\nAnswer: -36*t**2 + 3264*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 139 + (-1 - 12 - (-1101 - -1129))\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 2, l: 7, h: 3, u: 7}. Give prob of picking 1 h and 2 u.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.16 - -3.84. Which is the closest to -6?  (a) 2\/7  (b) u  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 22\/(-8) - (-12)\/16. Is (z\/(-4))\/(2\/268) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 304990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.15?  (a) 6  (b) 0.5  (c) -74\/83  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -772 (base 11) in base 10?\nAnswer: -926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 248911.\nAnswer: 13, 41, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -36*(3\/(-9) + 1). Let w = -9 - y. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 2*r + 55 = 11, 3*r + 9 = 0. Let f be 6\/10 + (-6)\/c. Suppose f = -v - 0*v + 1360000. Round v to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-25)\/(-15)*-1)\/((-2)\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 18 in -50, -5, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 7 = 5*r, 4*r + 5*p - 12 = 9*p. Let l be 0 + -4 + r + 1 - -8. Factor 2\/9*z**3 - 2\/9*z**5 + 0*z + 2\/9*z**2 + 0 - 2\/9*z**l.\nAnswer: -2*z**2*(z - 1)*(z + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -0*f - 408. What is f rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 3115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 3*x**3 + 471*x**2 - 947*x + 1107. What is n(-159)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 8 + 27)*(-3*r + 4*r - 3*r) + r - 4 + 4 + (5*r - 3*r + 0*r)*(-1 - 1 + 0))*(213*r - 205*r + 0 + 1).\nAnswer: -552*r**2 - 69*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -4*j. Let h(z) = -13*z**2 + 28*z**2 - 14*z**2. What is h(f(p))?\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*n*r**4 + 27057*n*r - 1812248*n + 4*r**3 wrt r.\nAnswer: 8*n*r**3 + 27057*n + 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1380d4 (base 15) in base 11?\nAnswer: -591086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:15 PM and 5:22 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*l - 194 = -29. What is the units digit of (80\/l)\/8*(-1182)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 370 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 377247 and 191607.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 4, f: 2}. What is prob of sequence cffc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4261?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 0*p + 2*p**2 + 4*p**2 + 6*p - 1. Let u(h) = 17*h**2 + 17*h - 3. Let w(m) = -4*u(m) + 11*y(m). What is w(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*q + 25*q = -72 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 5  (b) -8  (c) -227\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 5 + 4*h**3 + 11*h**3.\nAnswer: 15*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gggggggqgqggqg?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.843 + 0.843. Which is the nearest to -5?  (a) -14  (b) q  (c) -5  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from lvtvtmvlvvuv.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -63094 - -20190151\/320. Find the common denominator of i and -9\/160.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11641 is divided by 224?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/(-30)*20\/6. Let q = -0.027 - 2.073. Let j = q + 0.1. What is the third smallest value in l, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.5, -125, -3?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 123715506?\nAnswer: 2, 3, 101, 204151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -173, -482, -1317, -2942, -5621, -9618, -15197?\nAnswer: -22622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -4*s**2 + 21. Let g be p(-2). Let q(z) = 7*z + 65. Let d be q(-9). Solve 3*j = 4*a - j - 4, d*a - g*j = 17 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4731 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + d**2 + 1)*(-3*d**2 + d**2 + 3*d**2) + (-4 + 6 - 1)*(d**4 - 3*d**4 + 4*d**4).\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) 5  (c) 2\/7  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -47 + 61 - (3 - -3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -13696 by 8.\nAnswer: -1712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8189665, -8189656, -8189647, -8189638, -8189629?\nAnswer: -8189620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2\/9, -3, 11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2546*y - 136*y = 616*y + 34166 - 396946 for y.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of c**5 - 36*c**4 - 169*c.\nAnswer: 20*c**3 - 432*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 5*k - 2*k + 12, 15 = 5*h - 5*k. Let i be (-27)\/45 + h + -2. What is the closest to i in -0.1, -76, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 - (-2 + 45\/12). Let m = -0.14 - -3.64. Let g = m + -3. What is the nearest to i in g, 2\/3, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1130.726 - -1129. What is h rounded to one dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*v + 9*v + 24. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00110191371 to five dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the third derivative of -x**6\/120 - x**4\/24 + 2*x**3\/3 - 4*x**2. Let r be z(0). Let o(u) = -3*u + 2*u**2 + u**2 + 4*u + r*u**2. Determine o(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 388, 376, 350, 304, 232, 128?\n\"Answer: -t**3 - t**2 - 2*t + 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 21*a**2*q**2 - 3*a**2 + 29*a*q**4 + 8*a*q - 3004*a + 6 with respect to q.\nAnswer: 42*a**2*q + 116*a*q**3 + 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 4*v**3 + 2*v**2 - 2*v - 5. Let c(d) = 9*d**3 + 3*d**2 - 5*d - 11. Let n(j) = -3*c(j) + 7*i(j). What are the prime factors of n(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 266519?\nAnswer: 11, 24229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(288) + 0 + sqrt(288) + 1 + ((-1 + sqrt(288))*3)**2)*1.\nAnswer: -192*sqrt(2) + 2602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 145 - -43. Is 47 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -173 + 267. Let p = h - 94. Put p, 0.3, 2\/5, -2\/3 in ascending order.\nAnswer: -2\/3, p, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (144\/27 + -6)*3\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((1 + -2)\/(21\/14))\/(4\/30). Let u(t) = t**2 + t - 1. Let i(z) = z**3 + 7*z**2 - z - 5. Determine w*u(a) + i(a).\nAnswer: a**3 + 2*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.204 - 86.796. Let j = -87.2 - p. Which is the biggest value?  (a) j  (b) 1\/2  (c) 1\/6  (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8 + 14. List the prime factors of (10\/j)\/(2\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*u + 9*u + 6*u - 60*u**3.\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the first derivative of -3*v**6\/11 - 624*v**5\/55 - 427*v**4\/22 + 1456*v**3\/11 - 1964*v**2\/11 + 96*v - 456. Solve s(y) = 0.\nAnswer: -33, -4, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 51\/52 and 68\/65.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 3)*(-1096 - 1092 + 19*p + 2194 + 115*p).\nAnswer: -134*p - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-45)\/(-25)*((-14)\/(-2) - (-3913)\/(-129)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o - 3*z = -48, -98 + 58 = -40*z for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-108)\/12*(-100)\/(-20).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 540\/101  (b) -4\/9  (c) -3  (d) 4  (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 105.4625699 to three dps.\nAnswer: 105.463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-45)\/30)\/((-6)\/4))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n + u + 61, -4*u + 53 = 3*n - 7. Suppose 3*m - 4 = 2*m. What is the second derivative of n*d + 32*d + 21*d**m + 2*d**4 + 18*d**4 wrt d?\nAnswer: 492*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*o**2 + 6232*o + 8288 = 0.\nAnswer: -518, -4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ehtteyhhhhehhyy. Give prob of sequence ytt.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20391.\nAnswer: 3, 7, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**3 + 15*j**2 + 6. Let q be i(15). Sort -4, -1, q in increasing order.\nAnswer: -4, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven halves of a centimeter in millimeters?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -55715539, -55715536, -55715533, -55715530, -55715527?\nAnswer: -55715524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1, 2, -7, -43.\nAnswer: -43, -7, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 207589785*f**2*j + 2191*j + 69331 wrt f.\nAnswer: 415179570*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 366 and 57?\nAnswer: 6954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-4*g + g + 4*g)*(6 + 0 - 4) + 2*g - 3*g + 2*g)*((-g + 4*g - g)*(4 - 2 + 0) + 6*g - 4*g + 13*g) to the form t*g**2 + p + o*g and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4.96 in 3\/4, 3\/5, 0.2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/30*(-110)\/(-154).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 376866 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -271*z**3 + 136*z**3 - 7*z**2 + 134*z**3 - 13*z - 13. Determine o(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of ((-14)\/3)\/((-46)\/3933)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1030*j + 47 = -3*q + 1026*j, 17 = -5*q + j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.1, -2, 4, -18\/7, 0, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in five quarters of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 210528 to the power of 1\/2, to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 0*k - 2*k + 5*k + 16. What is the units digit of m(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 233?  (a) -1\/2  (b) 0.3  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30464 is divided by 3384.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1912 + -5503932.\nAnswer: -5502020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 178 + -108. What are the prime factors of i?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**3 - 161*v**2 - 42*v - 33036. Let n be u(-162). Let p = 24 + -40. Let b = -5 - p. Which is greater: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:01 PM and 2:57 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3927 and 1207200.\nAnswer: 1580224800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -19bb4 (base 15) to base 13\nAnswer: -2c0c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8877571 is divided by 831?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:16 AM and 8:21 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1907, -5 in descending order.\nAnswer: -4, -5, -1907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.210299067 rounded to four decimal places?\nAnswer: 0.2103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*k + 5*u - 16, 3*k - u + 12 = -2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -35375 - -35380. What is the fourth smallest value in 4\/9, c, -0.5, 7.1?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -16, -2*h + 3*h + 4*b - 47 = 0. Are h and 31 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -94 + 94. What is the tens digit of (w - 6 - -3)*23\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 16 = 4*d, q = 3*q + 2*d - 8. Let g(v) be the second derivative of q*v**2 - 1\/2*v**3 + 0 - 3*v. Let c(m) = 4*m + 1. What is -2*c(x) - 3*g(x)?\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 23341*g. Let v(l) = 397*l**2. Calculate v(z(u)).\nAnswer: 216286505557*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21)\/14*(-3)\/(9\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 255 - 284 - 481 = -170*d. Solve -3*p = -2*k + 6, 27*p + k - d = 24*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8.15 - -2.15. What is the closest to -1 in -5, t, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 4 = 3*v + v, -2*f + 32 = 4*v. Suppose 4*s = 3*t + 17, -2*s + f + 1 = -3*t. Which is the biggest value?  (a) s  (b) -4\/7  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45256141.\nAnswer: 7, 6465163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 448 and 1300928.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*r - 16*r = -505. What is the common denominator of r\/20*-1 - -4 and -111\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 38422127, 38422132, 38422139, 38422148, 38422159?\n\"Answer: g**2 + 2*g + 38422124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 2*k. Let a(b) = -4367*b**2 - 2*b + 2. Give q(a(z)).\nAnswer: -8734*z**2 - 4*z + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 - -1. Let y = -53.9 - -54. What is the nearest to o in -2, 1, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/(n\/(n\/(n**(-1\/5)*n))*n))**(-28))**(-15))**33 assuming n is positive.\nAnswer: n**(-11088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 121*u - 1761*u**3 + 6985 + 1783*u**3 + 2057 with respect to u.\nAnswer: 66*u**2 + 121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3780240 and 608?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 53 and -74771.\nAnswer: -3962863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 2*u = 2, -7*u + 3*u = -4*z + 8. What is the biggest value in 3\/5, -5, z?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 205 = 5*g + 3*x, 2*x - 127 = -3*g + x. Let j = g - 31. What is the greatest common divisor of 91 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 29 - -603. Suppose 0 = k - 5*k + u. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*g - k - 59 = 19*g, 2*k - 227 + 39 = -4*g + 72 for g.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) -0.3  (c) 4\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6732\/495)\/((-14)\/(-10)) - 10?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/202 and 23\/177549.\nAnswer: 35864898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 400 and 480.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-106*b + 236*b - 89*b)*(-61*b**2 + 59*b**2 + 112*b**2 + 110*b**2).\nAnswer: 9020*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-495)\/12276*(64\/20)\/(-2)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 39133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2826231, -5652470, -8478719, -11304984, -14131271, -16957586?\nAnswer: -19783935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 336835.2km to micrometers.\nAnswer: 336835200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -175310 - 2*2\/(-2). Let q = -47308 - r. What is q rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(((q*(q**(3\/34)*q*q)\/q)\/q)\/q)*q)\/q)**(-5\/9)\/((q**(-12)*q)\/q*q*q)**(-4) assuming q is positive.\nAnswer: q**(-12395\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1181897 is divided by 107445?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 50*l + 368. Determine d(7).\nAnswer: 718","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 4*g + 222, -4*g - 277 = g + b. Is g\/(-10)*(0 + 2 + 132) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.43 + 0.13. Let g = 8 + -5. Let d = 2 - g. What is the third smallest value in i, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1253991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 6891 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -6*v - 1. Let y(u) = -1367*u - 3. Determine 5*b(l) - y(l).\nAnswer: 1337*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12387.\nAnswer: 3, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 95 - (785 - 776 - (-1 - (4 + -13 + 3))).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -36*i**3 + i**2 - i - 2. Let j be r(-1). What is the highest common divisor of j and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the second derivative of 99*g**4\/2 + 243*g**3\/2 + 384*g. What is the second derivative of y(o) wrt o?\nAnswer: 1188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(72)*1)**2 - sqrt(72)*-2*-6 - -1*(-2*(sqrt(72) + 1))**2.\nAnswer: -24*sqrt(2) + 366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 33023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 - -41?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + (-8 - -5) + 0 - -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -13  (b) -1  (c) 1497  (d) 31\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -50 + 311. Let y(o) = -o**3 - 8*o**2 + 9*o + 12. What is the remainder when v is divided by y(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 64150 (base 8) to base 7\nAnswer: 140632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -9 - -10. Which is the second smallest value?  (a) z  (b) -0.2  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.3 + -68.7. Let i = f - -74. What is the closest to -0.1 in i, -2\/9, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 215\/86*(-88)\/(-10). Suppose j*p - 18*p - 560 = 0. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*f = -17*f + 20*f - 32 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-69)\/9)\/(14\/(-126)). Let o = i - -291. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the second derivative of -k**6\/240 + 11*k**5\/120 - k**4\/2 - 3*k**3 + 25*k**2\/2 + 35*k. Let r(u) be the first derivative of d(u). Factor r(l).\nAnswer: -(l - 6)**2*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -16 + 19. Differentiate 7*d**3 + 0 - c + 4 - 3 wrt d.\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 3*f - 8*t, -235*f - 5*t - 7 = -233*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**2 - 6*g - 4. Let k be b(-3). Suppose -4*t - 61 = -5*o - 0*t, k*o - 3*t = 62. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - 9 - -10) + (-3 - -2) - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 115*g**4 - 178 wrt g?\nAnswer: 460*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 - 1. Let g(k) = 19*k**2 - 2*k - 7. Is g(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes after 12:11 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (6 + -4)\/((-2)\/(-8)). Let b = -3\/1478 + -34721\/5912. What is the common denominator of b and 3 - -15*10\/t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1.5  (b) 1  (c) -187  (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 70090.85 rounded to the nearest one hundred?\nAnswer: 70100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 23*m**2. Let i = -50 + 185. Let n(h) = -135 + 2*h + i + 0*h. Determine n(t(x)).\nAnswer: 46*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 38, 42, 46, 50, 54, 58?\n\"Answer: 4*f + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the first derivative of -o**7\/168 + o**5\/24 - 5*o**3\/3 + 2. Let r(x) be the third derivative of u(x). What is the second derivative of r(c) wrt c?\nAnswer: -30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -509300050707*s**2 + s**3 + 509300050707*s**2.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4809 - 9107 = -497*h for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6443409 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16188*(-10)\/(-4)*348\/1305.\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 31 - 28. Which is the third smallest value?  (a) -0.2  (b) i  (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1051 or -1050?\nAnswer: -1051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-35)\/15)\/((-1)\/3). Suppose w = -o + 2*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 37145 and 54165?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 18 + -4 + -4 + (-6 - -11).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -2*o + 3. What is the units digit of b(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4339, 15931, 34779, 60883, 94243?\nAnswer: 134859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*g + 4*g + g)*(2 - 2 - 2) + (-g + 0*g - 4*g)*(1 - 4 + 4))*(5*g - g**3 - 5*g + (-8*g**3 + 11*g**3 - 19*g**3)*(3 + 2 - 4)).\nAnswer: 187*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(2736) - sqrt(2736)) + -3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the first derivative of -7*z**3\/3 - z**2\/2 - 2. Let n be -15 + (-3683)\/(-406) + 54\/28 + -2. Let g(a) = 8*a**2 + 2*a. Give n*v(o) - 5*g(o).\nAnswer: 2*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25303 + 31851 = 357*a + 21811. Calculate the smallest common multiple of a and 234.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 36 = 4*h, -h + o + 4*o - 16 = 0. Suppose 2*l - h*l + 18 = 0. Solve l = -3*v, m - 4*v - 8 = -m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 372 + 229206*j - 372.\nAnswer: 229206*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 39 - -196. Let x = r + -232. Which is the nearest to 0.5?  (a) 0.7  (b) -2\/9  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11839.9743 + 11840. What is b rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/2)\/((-113)\/(-226)*(-9)\/231)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1869, 3728, 5577, 7410, 9221, 11004, 12753?\n\"Answer: -v**3 + v**2 + 1863*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*b - 12*b = 0. Suppose 4*u = -u + 4*s + 60, -s - 5 = b. Solve -2*y**3 + u*y**4 - 4*y**4 - 3*y**5 + y**5 = 0 for y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 132*f + 2072. Calculate k(-2).\nAnswer: 1808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -1033*x**2. Let q(d) = -773*d. What is q(w(b))?\nAnswer: 798509*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2590058*w**4 - 3683490192*w**3 - 608235696*w**2 - 33480000*w - 614304.\nAnswer: -2*(w + 1422)*(109*w + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 419034000?\nAnswer: 2, 3, 5, 7, 11, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-738)\/(-66) - (-2 - (-24)\/11). Let y(s) = 5*s - 4*s + s - 4*s + 24. Let p be y(a). Solve p*c = 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 104, 113, 136, 179, 248, 349, 488?\n\"Answer: v**3 + v**2 - v + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 116 a factor of 535286989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8 - -2. Let u be (3\/l - -1)*8. Suppose 0 = -7*m + 2*m - 5*o + 75, u*m - 55 = o. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 484 (base 10) to base 15\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**2 + 62504*o - 125024.\nAnswer: 4*(o - 2)*(o + 15628)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 57 - 188 = 0. Let g = t + -45. Let u(q) = -q**2 + 4*q + 4. Give u(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxxgxxxxmx. What is prob of sequence gxx?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12696967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-50)\/((-2)\/(-1))*(-7)\/(-14)*-2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -5*o - 137. Calculate n(-38).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 3\/2, -2\/9, 3334562 in ascending order.\nAnswer: -2\/9, 3\/2, 4, 3334562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -42\/89  (b) -4  (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 80745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -216*p**2 + 515*p**2 - 1611 - 300*p**2 to the form u + l*p + s*p**2 and give u.\nAnswer: -1611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.237 - -0.937. Put g, -2\/15, 77, 4 in ascending order.\nAnswer: g, -2\/15, 4, 77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.4748 - -0.0748. Which is the closest to -0.07?  (a) 0.1  (b) -5  (c) m  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10 + 17 - (-3 - 10)) + -82 - -7?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 - 1 - 22*u - 2*u**3 + 28*u in the form c*u**2 + m + w*u + y*u**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add 4276607393.53387 and -0.1.\nAnswer: 4276607393.43387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14 + 25. Let n = w + -6. Suppose 5*y + 30 = 100. Solve 4*t + 0 - 4 = -l, -3*t = n*l + y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 28688 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 48 + -44. Suppose -2*v + q - 4*q - 144 = 0, t*v + 280 = -2*q. Let c = 77 + v. Calculate the smallest common multiple of 19 and c.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 188910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b + 3*v = -50, -2*b = 5444*v - 5441*v + 29 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**2 + 5*u + 6. Let d be v(6). Let i(l) = -l**2 + l - 5. Let r(a) = -2*a**2 + 2*a - 9. Let b(s) = -7*i(s) + 3*r(s). What is the units digit of b(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c**4 - 882*c**3 - 89541*c**2 - 591780*c - 832500 = 0.\nAnswer: -74, -5, -2, 375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -741*f - 1272 + 5718 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9*c**4 + 1327*c**2*p**2 - 2*c*p**2 + 10112 wrt c.\nAnswer: 108*c**2 + 2654*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 100007432?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 1518*s - 1518*s - 3*s**2. Let g(m) = 4*m**2 - 5*m. Calculate z(g(h)).\nAnswer: -48*h**4 + 120*h**3 - 75*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**3 - 9*x**2 + 25*x - 17. Let i be h(11). Let q(a) = -i*a + 504*a - a**3 - 6 - 1 - 3*a**2 + 0*a**2. Calculate q(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is f (base 16) in base 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n, 1 r, and 1 e when four letters picked without replacement from rnrnnrnnnrrronennnqr.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 7728 + 1?\nAnswer: 7729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2957.\nAnswer: 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 199*k = 195*k - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 18.755 - 19. Let t = h + 0.3. Let r = t - 0.04. Round r to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = 2*j - 33, h = -4*j + 84 - 33. Suppose 2*s + 5*i - 55 = -3*s, 0 = -4*s + 5*i - 1. What is the remainder when j is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12 + 6*a + 12 + 0*a + 2*a - a + (4 - 2 - 1)*(-2*a + 3*a + 0*a) - a + a - a + a + 0*a + 0*a - 8*a + 7*a - 1 - 11*a to the form y + h*a and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.0005 + -23167382042\nAnswer: -23167382041.9995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 4*j - 17 = 0, 5*h + j + 9 = -0*h. Let g be ((-20)\/50)\/(h\/5). Let x be g\/(-5) - (-96)\/15. Solve x*s = 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 9066.168t?\nAnswer: 9066168000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 bigger than -1844\/507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 4 = 9. Let y be u + (112\/(-20) - -5). Put -11, -1\/9, y in descending order.\nAnswer: y, -1\/9, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**2 + 156*t - 3115. Determine n(18).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.4 or -2048336?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the second derivative of -9*f**4\/4 - f**2 - 819*f. Let p(i) = -2052*i**2 - 153. Calculate 6*p(j) - 459*s(j).\nAnswer: 81*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0 + (-89 + -5)*(-5)\/2. Calculate the highest common divisor of c and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5.2 + -6. Let r = -0.6 - m. Which is the third biggest value?  (a) 0  (b) 0.3  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*g*g**(-1)\/g*g)**(-43))**(3\/7))**38 assuming g is positive.\nAnswer: g**(-4902\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 16*p**2 + 6*p + 6. Suppose -5*v = 5*h - 5, -4*h + 0*h = -4*v - 12. Suppose 0 = -l + 4*l - 30. Calculate the lowest common multiple of l and i(v).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1472059750.\nAnswer: 2, 5, 7, 17, 49481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-82)\/(-6))\/(3\/72*4). Calculate the highest common divisor of j and 1107.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 - ((-6)\/11)\/3. Let n = -1.77379 + 0.77379. Which is the smallest value?  (a) n  (b) 3  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-11\/6)\/m)\/(m\/m**32)*(m**(-1\/18))**(-33) assuming m is positive.\nAnswer: m**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 75 - 36 - 39 + 17*h to v + w*h and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -194000 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 47 = -3*y. What is the greatest common factor of 350 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -2*c**3 - 13*c**2 + 5*c - 51. Let a(s) = s**3 + 10*s**2 - 4*s + 53. Calculate 3*a(p) + 2*m(p).\nAnswer: -p**3 + 4*p**2 - 2*p + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 63 = 3*y, 3*y + y - 4*q - 88 = 0. Let h(f) = f - 11. What is h(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**2 - 2*k + 7. Let l be c(-6). Let g = 292 + -287. Calculate the highest common divisor of l and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**2 + 22*y + 51. Let l be a(-20). Is 15658\/(-4)*(l - 13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 166 + 0. Let p = n + -113. Let c = 3.68 + -3.78. Are c and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 624 and 234?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*q = 988 - 290 - 281 + 4488 for q.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -7*q - 13. Calculate t(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (2491\/(-94))\/(5*2) - 680\/(-255)\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 31 - 231*i + 14 - 45 to m + r*i and give r.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15773?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 3509*g - 77183. Calculate y(22).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-six fifths of a millennium in decades?\nAnswer: 1520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/17, 25, -2, -0.6, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6155467kg to tonnes.\nAnswer: 0.0006155467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -52*d - 20*d - 23 + 23 to n*d + k and give n.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*v + 5*j, 3*j + 4 = -4*v - 2*j. Let k(m) = -6*m**3 - m**2 - m. Let r be k(v). Let c(q) = -r*q**2 + q**3 - q**2 + 2*q**2. Determine c(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the second derivative of o**8\/168 + o**5\/10 - o**3\/3 - 7*o. Let r(x) be the second derivative of a(x). What is the second derivative of r(t) wrt t?\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the second derivative of -5*v**3\/2 + 3*v**2\/2 + 3*v. Let a be x(3). Let h = 30 + a. Is h less than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1581*v**2 + v**3 - 3223*v**2 + 1642*v**2.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.2 and 12.3602.\nAnswer: 12.5602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (99\/3)\/(18\/(-12)). Let t = -10 - s. What is the highest common divisor of 18 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -15*b + 88. Let z be l(7). Let g(s) = 3*s. Let f(c) = -c. Let m(o) = z*f(o) - 6*g(o). Let i(h) = 0*h + 0*h + 6*h. Determine m(i(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the first derivative of -b**4\/4 + 7*b**3\/3 + 9*b**2\/2 - 6*b - 5. Let q be r(8). Suppose q*h = 4*h - 58. List the prime factors of h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2 - (-3 + 1\/2*6). Let v be ((-6)\/1)\/(4\/32). Let b be (0 + 1)\/((-6)\/v). What is the highest common divisor of u and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 91.88 - 92. What is the closest to 1\/4 in 2\/9, 0, r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x - 2. Determine f(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 183537*a**3 - 667*a + 252089961 with respect to a.\nAnswer: 550611*a**2 - 667","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3190247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 14402\/42 + 0 + (-24)\/(-252)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5940\/(-18480)*7\/(-15).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*u**3 - 343600*u**2 - 7385334068*u - 280146755672 = 0. What is u?\nAnswer: -42931, -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (20 - 4) + 1 + -2 + 6 + -60.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2020.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - h = -4, -2*h - 7 - 1 = 0. Suppose -2*z + 0 = -x - 7, -z = -5*x - y. Suppose u = 3*n + 21, -25 = -z*u + 2*u - n. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 6*i - 2. Let m(x) = 5*x - 5. Let k(h) = -1 + 7 + 2 - 7. Let r(v) = 2*k(v) + m(v). Let d(y) = -5*r(y) + 4*w(y). What is d(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -26.946 + 15.05. Let z = k - -12. Let i = z + -0.1039814. Round i to six decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*r**2 + 59*r**2 - 28*r**2 - 107*r**2 + 2*r + 68*r**2.\nAnswer: 29*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**3 - 6*l**2 + 4*l - 3. Give b(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 311040 or 311042?\nAnswer: 311040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 219*t + 661. Give a(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6953, -6947, -6937, -6923, -6905, -6883, -6857?\nAnswer: -6827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*((sqrt(605) - (-1 + sqrt(605) + 1)) + -4) - (-2 + (sqrt(605) - (4*-2*sqrt(605) + sqrt(605))) + 2))*-6*-1)**2.\nAnswer: 50688*sqrt(5) + 1396224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 - -30. Calculate the remainder when (-1977)\/(-6) + 2800\/160 is divided by s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -259, -503, -749, -997, -1247?\n\"Answer: -w**2 - 241*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 3*g + 14 + 18 = 0, 2*g - 61 = -5*b. Suppose d + 0*d = b. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*g - 3*q = -21, -11*g - 11*g = -17*g - 2*q - 31 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1316694, 1316484, 1316274?\nAnswer: 1316064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in q + 100*q**3 - 346*q**3 + 153*q**3 + 179*q**3 - q.\nAnswer: 86*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -34*c*j**4 - 527*c*j**2 + 13074*c*j - j**4 - 2*j - 1 wrt j?\nAnswer: -408*c*j**2 - 1054*c - 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 5*t**2 - 23*t + 19. Determine w(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -w + 5*w - 4*w - 1906*w**3.\nAnswer: -1906*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2711674.\nAnswer: 2, 7, 29, 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zcxvh. Give prob of sequence cv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 346 a factor of 10040228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4678805 + 4678805 + 16*t**3.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11 and 70887025?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 1557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - 164?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 79 (base 12) to base 10\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1819 - -2121. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 580419, 1160841, 1741263, 2321685, 2902107?\nAnswer: 3482529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 58 + -33 + -2 + (0 - -1) + -1 + -4\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 4 + 2 = 0. Suppose x*b + 40 = 6*b. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4166522\/9 not equal to -462946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((56\/(-84))\/(5\/(-3)))\/((-21)\/5).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3806 = -8*j + 2442. Is j a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -9065*d + 3. Let l(v) = 20*v - 13. What is o(l(z))?\nAnswer: -181300*z + 117848","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 40*a - 29. Let o(h) = -27*h + 19. Let p(s) = 11*n(s) + 16*o(s). Calculate p(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18.81 + 19. Let g = v - -5.71. Let s = 5.62 - g. What is s rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sbsnsbbsbossbbossbbs. What is prob of sequence nb?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i**3 - 2*i**2 + 2*i**2)*(i - 2*i + 0*i)*(-4 + 0 + 3).\nAnswer: -3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 91080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 - -10. Let v be 8\/((-417)\/(-52) - 8). Suppose j*h - v = -h. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 99453988?\nAnswer: 2, 887, 28031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 327896 is divided by 261.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 31288438933151 and 0.4?\nAnswer: 31288438933150.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the first derivative of y**4\/14 - 16*y**3\/7 - 27*y**2\/7 + 100*y\/7 - 10452. Factor x(z).\nAnswer: 2*(z - 25)*(z - 1)*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-10))\/(((-32)\/(-20))\/8)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -3\/7  (c) 11333\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) 0.5  (b) 4  (c) -4  (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 + 27*s**2 + 6*s**2 - 6 - 17*s**2.\nAnswer: 16*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(1\/3))**(-45)*(c**(-4)\/c)\/c*c**6 assuming c is positive.\nAnswer: c**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 21 + -6. Let d(y) = -2*y + 4 - n + 0 + 3*y. Determine d(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the third derivative of -f**5\/60 - 5*f**4\/12 - f**3\/2 - 17*f**2. Let t be u(-9). Solve -1 = -5*g - t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -14*i**2 - 5*i - 5. Let r = 12078 - 12074. Let l(w) = -13*w**2 - 4*w - 4. Calculate r*l(z) - 3*g(z).\nAnswer: -10*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -14*d + 68. Let g be j(5). Sort 0, -3, g, 5.\nAnswer: -3, g, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111417.8 milliseconds in nanoseconds?\nAnswer: 111417800000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: 238817236, 477634470, 716451704, 955268938?\nAnswer: 1194086172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6287, -7049, -7811, -8573, -9335, -10097?\nAnswer: -10859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 430*u + u**3 - 430*u.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -161\/120 and 91\/18?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6006 is divided by 60.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 + (-26)\/(-2*1). Let o = v + -6. Let a = -4 + o. Is 3\/2 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 18\/(-360) - 235\/(-2700). What is the smallest value in -0.5, j, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g**2 + 4*g + 7. Let f be h(5). What is the remainder when 86*(1 - 1\/f) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/(2 - (-5 - 23\/(-3))). Suppose 20 = 3*v - 8*v. Let n(i) = -2*i - 5. Let q(s) = -3*s - 6. Calculate c*q(a) + v*n(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1648018 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/(-4)*(-2)\/(-6). Suppose -2*u = f, -2*f = 3*f - 5*u. Suppose 4*t + 1 = -5*q + 3, f = 2*t + 2*q. Is l != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*n + 3723 - 4023 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2405 and 7?\nAnswer: 16835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -4*m + 4. Suppose 0 = -3*k - 4*j + 25, 0 = k - 6*k - 5*j + 35. Let y(l) be the first derivative of 5*l - 2 - 5\/2*l**2. What is k*y(i) - 4*w(i)?\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -54 < -78213\/1478?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 5\/3, 6, 22, -1\/13, 0?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 494 = -4*n, -2*n + 246 = -0*j + 3*j. Suppose -11 = 5*b - n. Does 21 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2307 and 0.5?\nAnswer: 2306.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 + 1861?\nAnswer: 1857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (16\/3 + -2)\/((-6)\/(-9)). Suppose -c*o + 1997 = -1363. Suppose 0 = 6*g + g - o. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 3\/2, 4, -0.132, -2, -0.05, -65?\nAnswer: -0.132","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10012 is divided by 2984?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Total of 46.991368 and -7.24.\nAnswer: 39.751368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -491*w - 86 = -494*w + 5*p, 3*p = -22*w - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 2*h + 21. Let c be ((-5)\/5)\/((-2)\/(-22)). Let x be j(c). Let p = x - -21. Calculate the remainder when p is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 8*p + 5. Let k(f) = 5*f**3 + f**2. Let i be k(p). Let q = 10 + i. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 240427016 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: Let s = 12490 + -12496. Which is the fourth smallest value?  (a) 6\/5  (b) s  (c) 2  (d) -57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**3 - 154*w**2 - 167303*w + 37086768.\nAnswer: (w - 293)**2*(w + 432)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -61, -69, -77, -85?\n\"Answer: -8*g - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 2*k + 1. Let y(h) be the second derivative of -h**2\/2 - 2*h. Let j = 72 + -49. Let t = -27 + j. What is t*y(m) - a(m)?\nAnswer: -2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**3 - 7*r**2 - 9*r - 7. Let g be (-176)\/28 - 2\/(-7). What is the units digit of f(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-18)\/(-3 - -6))\/((-6)\/4). Which is the fourth biggest value?  (a) -1\/3  (b) 1  (c) l  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -4*u + 18. Suppose 2*c + 2*w = -8, -5*c + u = -0*w - w. Suppose -b - c = -11. What is the highest common divisor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes after 9:28 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 6107\nAnswer: 4\/6107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 6058670223 minus 4?\nAnswer: 6058670219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 153*w**5 + 385707*w**4 + 240549375*w**3 - 3213984783*w**2 - 7242607848*w + 288952020 = 0.\nAnswer: -1267, -2, 2\/51, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 28971 - 13976. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.01871 and 0.26?\nAnswer: 0.0048646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) 2\/15  (c) -9  (d) -0.3  (e) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1100, 4564, 10398, 18602?\nAnswer: 29176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y = 2*y + 3*i - 78, 4*y - 156 = 5*i. Suppose -n = 4*j - 117 - 228, -2*n - 441 = -5*j. Suppose -y - j = -3*x. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the third derivative of -13*m**5\/60 + m**4\/24 - 22*m**2. Find the second derivative of c(v) wrt v.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*j = 31*j - 69*j. Which is the nearest to 0.09?  (a) 2\/9  (b) j  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1 and 0.9083?\nAnswer: 0.9083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-2)\/7)\/(4\/(-28)). Let d = 1.3 + 0.7. Let n = -169 + 1519\/9. Which is the nearest to d?  (a) n  (b) -0.4  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the third derivative of -5*q**4\/8 + 25*q**3\/6 - 6*q**2 + 3*q. What is the first derivative of c(h) wrt h?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) -1\/4  (c) -111  (d) 1  (e) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2751*s**4 + 2*s**3 + 78128*s.\nAnswer: -33012*s**2 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 140 and 3710?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 474\/79 + (-1 - -2). Let x be (0 - 4\/j)\/((-14)\/(-49)). Let b(s) = -s**2 + 8*s - 5. Let m be b(5). Sort x, m, -5, -3 in decreasing order.\nAnswer: m, x, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x + 5. Let m(b) = -1. What is -30*m(i) - 6*y(i)?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**2 - 1. Let b be m(-3). Calculate the remainder when 19 is divided by (-11 + 1)\/(10\/b).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -121111222 (base 3) to base 10\nAnswer: -12041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, -37, -236, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 10124 - 3152123?\nAnswer: -3141555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 26688 and 4588608?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -29 + (-10 - (0 + -2 + -12) - 9)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 - 72 = -21*f + w, 4*w - 8 = -20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00104925622 rounded to five dps?\nAnswer: -0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(0 + 2*((sqrt(35) - (sqrt(35) + sqrt(1260)))*1)\/((sqrt(140)\/sqrt(4))\/sqrt(7))) + -1.\nAnswer: -1 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7338, -14666, -22002, -29346, -36698, -44058?\nAnswer: -51426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0 - (-200)\/(-20)*(-2)\/5. Let l be -2 + 0 + (0 - -2). Let r = n - l. Calculate the lowest common multiple of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 301811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.0662 + 84.3338. Let y = -84.1 + s. Which is the nearest to -6?  (a) 4  (b) -3\/7  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 3, -1, -2302, -16, -90, 2.\nAnswer: -2302, -90, -16, -2, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2e (base 15) in base 16?\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -2*g - 2. Let b be q(-16). Let n = b - -1. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -337597, 2, -10, 2\/5 in increasing order.\nAnswer: -337597, -10, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h**4 - 68*h**3 + 164*h**2 + 68*h - 168 = 0. What is h?\nAnswer: -1, 1, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2064, -8245, -18552, -32991, -51568, -74289, -101160, -132187?\nAnswer: -167376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wmuccxc. Give prob of sequence cwm.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2795\/138 + -485\/23. Let g = -1154\/35 - -162\/5. Which is the second biggest value?  (a) 0  (b) p  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 15*h**3 - 3*h**3 + 42*h**3 + (3*h - 3*h - h**3)*(-1 + 3 - 1) + 4*h - 4*h - h**3 + 4*h - 4*h - h**3.\nAnswer: 51*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-16)\/(-6))\/((-380)\/(-375) - 1). Let z be (104\/(-10))\/(4\/x*-2). Calculate the greatest common factor of 26 and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jxqz when four letters picked without replacement from gjygxqz.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 19*x**5*y + x**4*y - 21*x**3*y + 216*x**2*y - 2*x**2 wrt x.\nAnswer: 1140*x**2*y + 24*x*y - 126*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 5*q**2 - 6*q. Suppose -5*u - 49 = 2*u. Let x(k) = 6*k**2 - 8*k + 1. Let g(p) = u*n(p) + 6*x(p). Give g(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 974556, 1949102, 2923652, 3898206, 4872764?\nAnswer: 5847326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 805220.\nAnswer: 2, 5, 13, 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 207 + -127. Suppose 5*s - 4*i = 28, 5*s + i + 0*i - 43 = 0. Calculate the least common multiple of s and r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(150)\/(sqrt(3) - (sqrt(3) - sqrt(24)\/sqrt(8)*4)) - (-1 + sqrt(5000) - (sqrt(50)*2 + 1)))**2.\nAnswer: -155*sqrt(2) + 24057\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (6\/9)\/((-4)\/18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6541558.\nAnswer: 2, 31, 105509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 9.05 * 618\nAnswer: 5592.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -5*h, -m + 4*h - 90983 = -90986 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 3*p**3 + 5*p - 5. Let z = 1 - -1. Let i(f) = -2*f + 2 - 116*f**2 - f**3 + 116*f**2. Determine z*l(d) + 5*i(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 292 - 264*i - 106*i + 287 - 579.\nAnswer: -370*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:28 PM and 11:51 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6 + 10 - 4 - 82*d + d + 2 - 2 + (4 - 5 - 3)*(6 - 6 + d).\nAnswer: -85*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 860557.\nAnswer: 17, 223, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1508  (b) -0.5  (c) 2  (d) -5  (e) -1.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2777 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -4*m**4\/3 - 6292*m**3\/3 + 6301*m**2 - 14182*m\/3 + 3152\/3 = 0.\nAnswer: -1576, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1120 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 + 12 = -5*x. Let a(y) = -4*y - 118. Let i be a(-30). Suppose 350 = -s + 2*o - o, -1412 = x*s + i*o. What is s rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 7, p: 5, w: 7}. What is prob of sequence ww?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 336 and 11466.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 367332974 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19130, 38520, 57910, 77300?\nAnswer: 96690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 116*v**2 + 10*v - 1. Let x be f(-1). Which is smaller: 107 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:58 AM and 5:37 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 514*j - 356*j + 579*j to c + w*j and give w.\nAnswer: 737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 5*k = -10, -4*x + 223*k = 228*k + 10. Let a(l) be the second derivative of x + 1\/2*l**3 + 7*l + 0*l**2. Let h(p) = 2*p**2. What is h(a(o))?\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 - -5. Let u = 0.033 + 0.267. Which is the closest to 1\/2?  (a) -2\/5  (b) s  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) 1.4  (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 1)*(736*x - 423*x**2 + 211*x**2 + 214*x**2).\nAnswer: 2*x**2 + 736*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*f**3*o**5 - 20*f**3*o**2 + f**3*o + 6*f**2 + 2*f + 2*o**3 - 4*o wrt o.\nAnswer: -80*f**3*o**3 - 40*f**3 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the third derivative of n**9\/126 + 2*n**5\/15 - 7*n**2. What is the third derivative of z(i) wrt i?\nAnswer: 480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - 4*f - 16 = 0, 5 + 7 = -4*k + k - 34617*f + 34598*f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -95*s - 377. Let h be l(-4). Let n(d) be the first derivative of 3\/4*d**4 + 3\/10*d**5 + 6*d - 3\/2*d**3 - h - 3*d**2. Factor n(j).\nAnswer: 3*(j - 1)**2*(j + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -384 - -926. Let w = c - 5959\/11. Which is greater: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4*((-5)\/(-2) + -2). Let h be 156\/72 - (-1)\/(-6). Find the third derivative of 3*x**h - 4*x**3 + 2*x**3 - x**v - 4*x**2 wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*-2*(2 + -3 + (-1*sqrt(175) + sqrt(175))*2*-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + c + 2 - 1 = 0, -4*c - 12 = 2*l. Suppose -b = b - l. Let u = 2.93 - -0.07. What is the third biggest value in -3\/7, b, u?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 13 - -23314321?\nAnswer: 23314334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 955952 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1839.82891 and 5.\nAnswer: -1834.82891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -3*t - 1 + 4*t**2 - 1 + 8*t**3 - 6*t**3 - 2*t**2. Let y be d(3). Suppose 2*o = 157 - y. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4718477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*q = -13*q + 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/4 + (-18)\/(-4). Suppose a*q = 2*q + 6. Suppose -q*f + 19 = -f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -3*o**2. Suppose 2*h = 5*h - 6. Let u(r) = 2*r**2 + r - 42. Let y be u(-5). Let c(f) = -y*f**2 - h*f**2 + 10*f**2. Calculate a(c(m)).\nAnswer: -75*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kraq when four letters picked without replacement from gqakqry?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/5 of a second in milliseconds?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -19 + 24. What is the remainder when 23 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2965832 and 248.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 289053 and -0.06.\nAnswer: -17343.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the second derivative of 0 - c**3 + c + 1\/20*c**5 + 1\/3*c**4 - 3\/2*c**2. Determine k(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 16*a*h**2*x**3 - 25*a*h**2 - 157*a + 356*h**2*x**3 - 2*h**2*x**2 + 2*h**2 + 2*h + 2*x**2 wrt a.\nAnswer: 16*h**2*x**3 - 25*h**2 - 157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 2*h**2. Let k(o) = -3 - 6 + 14*o + 9. Determine n(k(v)).\nAnswer: 392*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s**3\/5 - 116*s**2 - 1195*s + 8850 = 0. What is s?\nAnswer: -15, 5, 590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 6, k: 1, p: 1, i: 7}. Give prob of sequence ip.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -3*q + 41 + 44*q**3 - 45*q**3 + 4*q - 35*q**2 + 0*q. Let m be l(-35). Solve 14 + m = 4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b - 47 = 10*o, 198*b - 202*b + 5*o + 21 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -11*s**2 + 1040*s - 4160. What is p(4)?\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3451369739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.065 + 0.339. Let p = 280.404 - o. Let b = p - 279.679. What is b rounded to two dps?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -5*j**3 - 3*j + 3. Let u be n(1). Put -4, 284, u in decreasing order.\nAnswer: 284, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 - 7 - -2 - (1 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeesqeereeeo. Give prob of picking 1 r, 1 e, and 1 o.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 52293327, 104586650, 156879973, 209173296, 261466619, 313759942?\nAnswer: 366053265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*w + w = 27 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.4, -3\/17, 4, -2, -3, -1388\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -3 - 11*v - 5 + 2*v. Is f(-7) 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 5:42 PM and 11:19 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6428 or -25711\/4?\nAnswer: -25711\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 32393327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 5*o + 10. Let s(m) = -26*m - 30. Let t(h) = -6*h - 7. Let f(k) = 2*s(k) - 9*t(k). Calculate -3*a(r) + 10*f(r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -10, -0.1, 28\/5, -3.29, 21?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, y: 1, j: 4, q: 5}. Give prob of sequence qj.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4030 and 496.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*r + 57*r**2 - 28*r.\nAnswer: 57*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 39.2 and -0.3?\nAnswer: -11.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 + -16da?\nAnswer: -16de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 20082640 to the nearest integer?\nAnswer: 4481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**2 + 4*t + 88. Let w be c(11). Suppose 5*n + 3*q - 2*q - w = 0, -n - 4*q + 6 = 0. Factor 18\/5 + 3\/5*o - 3\/5*o**n.\nAnswer: -3*(o - 3)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = -0*i + 5*i + 5*l, -2*i + 4*l - 14 = 0. Let p(h) = 6*h**2 + 4*h**3 - 3 - 2*h**3 + 8*h - i*h**3. Let d be p(7). Solve d*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -7, -27, -89, -217, -435, -767, -1237?\n\"Answer: -4*z**3 + 3*z**2 - z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10702 - 587 = 814*s + 398*s + 8103 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.8 times -379968\nAnswer: -303974.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-36)*(o**(21\/2)\/o)\/o*(o**(3\/5))**(-46) assuming o is positive.\nAnswer: o**(-551\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -8*i - i + 39*i + 155 - 149. Let g(z) = -z. Determine n(g(t)).\nAnswer: -30*t + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1134869591 + 39395\nAnswer: -1134830196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -634695 rounded to the nearest ten thousand?\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -49 - -49.62. Let o = -0.02 + h. Let q = 0.5999955 - o. Round q to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/(-3)*(-71 - -2). Let y = -6 + 13. Suppose -243 = -16*b + y*b. Solve -5*k - 4 = -3*r - m, -r - 5*k + b = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 0, 9, -5.\nAnswer: -5, -0.4, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/(-3)*(-6)\/2. Suppose 2*x + u*v = 18, 4*x - 14 = -5*v + 10. Let r be (-5 - -4)*-5*x. Solve -3*c + 17 = r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1518089 is divided by 210?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -30 - -4?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0918 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 21*a**2 + 369*a - 14588. What is d(19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is l in 3505*l**3\/3 + 68449147*l**2\/3 + 39058*l\/3 = 0?\nAnswer: -19529, -2\/3505, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange c + 1 + 40*c**4 - 38*c**4 - 3*c**3 + 2*c**2 + 0*c**2 to v*c + u*c**3 + b*c**4 + n*c**2 + j and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/(6\/(-2))*-103. Let s = y + -83. What is the greatest common divisor of s and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and -12.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 2  (b) 5  (c) 20  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 177*n**5*u + 16*n**2 - 5*u wrt n.\nAnswer: 10620*n**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -28 - -1. Let w be g\/(-21) - 8\/28. Let h(a) = 5*a**2 + a. Is h(w) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 + -2c0?\nAnswer: -2c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 9 - 13 = 0. Let p = u + -4. Let t be -3*(p + -9) - 1. What is the greatest common factor of t and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 14 + -46. Find the common denominator of (-2)\/6 + (60\/a - 4) and -107\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -5*j**2. Let r(n) = -87 + 183 - 96 + 9*n. What is u(r(b))?\nAnswer: -405*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h. Let x(f) be the first derivative of -2*f**3\/3 - 8. What is x(v(s))?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m**4\/5 + 709*m**3\/5 - 5001*m**2\/5 + 7871*m\/5 - 716 = 0. What is m?\nAnswer: -716, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1204, -2409, -3614, -4819?\n\"Answer: -1205*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 51\/(-1666)*(4 + (-244)\/84). Which is greater: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -3*w - 4*o - 8, 0 = 5*w - o - 24. Let x be (0\/((-6)\/3))\/1. Determine a so that -a**3 + 2*a**4 + x*a**4 - a**2 - 3*a**w - a**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4998667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**2 - 14*a + 7. Let y(d) = d + 1. Let g(q) = -i(q) - 3*y(q). What is the lowest common multiple of 20 and g(7)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o = 4*f + 26, 0 = -0*f - 3*f + o - 17 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (7\/14)\/(1261\/(-259766))\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 571 a factor of 269122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, y: 2, z: 2, v: 5, u: 9}. What is prob of sequence yz?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/537 or 1007087?\nAnswer: 1007087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 4*s + 53 = 5*i, -3*s + 1 = i. Suppose 13*h + i*h - 80569 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 4311267, 8622539, 12933811, 17245083?\n\"Answer: 4311272*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 134, 146, 154, 152, 134, 94?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - 3 - 0 - 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - -1. Let l be (-2)\/9 + (-2)\/(-6). Let m = -7.9 + 8. What is the nearest to m in 2, x, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4452.6 or 0.096?\nAnswer: 4452.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 210677 (base 14) to base 5.\nAnswer: 241142340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2036*h**5 + 117*h**4*z + h**2*z + 5*h**2 - 8214*z wrt h?\nAnswer: -122160*h**2 + 2808*h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**3 + 8*g**2 + 9*g + 10. Does 4 divide l(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3478.867g in milligrams?\nAnswer: 3478867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.075 - -0.08.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of -23*u**3\/3 - 2931. Let s(y) = -85*y. Give d(s(z)).\nAnswer: -166175*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 528 and 1056.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (0*(-3)\/9)\/(10\/10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the second derivative of -2\/5*u**5 - 4*u + 2\/3*u**3 + 0 + 1\/6*u**4 + u**2. Calculate the remainder when t(-2) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 11, 14, 17, 20, 23, 26?\n\"Answer: 3*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 13*o + 60 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11423.0000005991 - -11423. What is o rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6403210?\nAnswer: 2, 5, 11, 58211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.021  (b) -10\/259  (c) 8  (d) -0.07  (e) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -52 + (40 - 7) - -48?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 8\/5, -11, -0.4, 2676?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Total of 125246320 and -6.\nAnswer: 125246314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 c when three letters picked without replacement from ccyccydbcrbdccbbcmbb?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 103972 + -0.322314.\nAnswer: 103971.677686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -42 (base 5) to base 15.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*f**2 + 118*f + f**3 + 2 - 118*f + f**4 to the form s*f**4 + l*f**2 + j + w*f**3 + q*f and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/(-7) + 68\/(-238).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((-3)\/(-2))*12\/32.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*p - 456 = -13*p - 51*t + 635, 1 = -5*p + t - 0*t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**2 - 6*g + 5. Let i be b(5). Solve 0 = 4*v + h + h, 2*v + 2*h = i for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 7 - 5*o + 3)*(6 - 4 - 1) as j + r*o and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -13*b**2 + 19*b**2 - 9*b**2. Let t(q) = 3*q. What is t(h(j))?\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -183 + 175.85. Let y = r - -7. What is y rounded to two decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - (-5 + (-12 - -9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-10))\/(12\/(-30)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:42 PM and 1:46 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 2*c**3 - 4*c**2 - 14*c - 8. Let w be o(-4). What are the prime factors of (2 - w\/(-66)) + 15186\/33?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 2 = 3*f. Suppose -4*q + 112 = -f*v - 74, 3*q + v - 137 = 0. What is the common denominator of -10\/3 and (-2)\/2 - q\/(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 109 divided by -94948?\nAnswer: -109\/94948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h = -11*h - 540. Let r = h - -111. Solve -5*j = r*f - 26, -5*j + 16 = -j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/84)\/(-3 - -2)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 18 + 5*m + 8*m + 14 + 14*m - 6*m. Let x(s) = -8*s - 11. Let w(q) = -4*o(q) - 11*x(q). Determine w(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -a2 (base 14) to base 5\nAnswer: -1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b40 (base 16) to base 3.\nAnswer: -10221200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-2 - -2) + 0)*(3 - 2). Which is bigger: 11.6 or y?\nAnswer: 11.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -4989*x**3 - 1113*x - 2. Let w(f) = 4994*f**3 + 1115*f + 3. Let a(j) = -2*w(j) - 3*z(j). Find the second derivative of a(s) wrt s.\nAnswer: 29874*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 161 + -159. Let g(m) = 4*m + 0*m**2 - f*m**2 - 2*m - m**2. Let j(p) = -12*p**2 + 9*p. Calculate 18*g(z) - 4*j(z).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 9\/(-6)*(1\/1 - -1). Sort h, -1\/5, 1\/5, 1.\nAnswer: h, -1\/5, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from atbtd. Give prob of picking 1 t, 1 b, and 1 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 82*q**2 - 12*q + 12*q - 75*q**2.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 2*v + 3*q + 6, -5*v + 2*q = 28. Let j = -4 - -1. Let n = j - v. Let l(c) = -4*c - 1. What is l(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 195 = 3*f + 8, 3*f - 9 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in fourty-five quarters of a meter?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 323561 is divided by 79.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -5*n**2 - 2*n + 5 + 5*n**2 + 2*n**2 - 4 - n**3. Let m be s(1). Let k be 2 - m - 1314 - -2. What is k rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -4*c**3 - 10328*c**2 = 0.\nAnswer: -2582, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -3*b - b - 5*b**2 + 5*b**2 + b**2. Calculate r(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -a - 2*a. Let p = a + -10. Suppose p = k - 6 + 1. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -137\/3444 and 155\/109536?\nAnswer: 4490976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.011376837 rounded to four dps?\nAnswer: -0.0114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -613, -906, -1199, -1492, -1785, -2078?\n\"Answer: -293*r - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -241 - -267. What is the first derivative of 39*h**4 + 41 - 6 - x wrt h?\nAnswer: 156*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 25.2577 and 0.1.\nAnswer: 25.3577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 5. Let p(h) = -107*h - 6. Let s(x) = -303*x - 18. Let u(d) = -17*p(d) + 6*s(d). Give 7*r(y) + 6*u(y).\nAnswer: 6*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1720?  (a) 1\/8  (b) 0  (c) -2\/5  (d) -4  (e) 2\/95\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -8406 and 0.3.\nAnswer: -2521.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-14*v + 173 - 173)*(0*v + 7*v + 4*v - 2*v) to p*v + u + j*v**2 and give j.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 1367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 609 is divided by 122?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -2*w**2. Let y(p) = 59*p. Calculate y(l(t)).\nAnswer: -118*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - 18851994213648?\nAnswer: -18851994213643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 818 by 3.\nAnswer: 818\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*c**3 - 8*c**3 - 3*c**3 + 4*c**3 - 5*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iiriiirrirriiciii. Give prob of sequence iici.\nAnswer: 33\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - 2*p = 2*y - 18, -4*y + 51 = -p. Let r(h) = h**2 - 11*h - 5. Let q be r(y). Let l(b) = -b**2 + 8*b + 1. Calculate l(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes after 4:38 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a hour in seconds?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mep when three letters picked without replacement from {g: 1, e: 1, m: 1, l: 1, p: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve t + 5*b + 24 = 43, -5*t + 5*b = -5 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3006 - -3007. Which is the nearest to 0.142?  (a) l  (b) -1  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:09 PM and 6:29 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17*1*154224\/(-3213)*1\/(-136).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3a19 (base 11) to base 2\nAnswer: -1010001100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -l**2 - 3*l + 4 - 15*l**2 + 17*l**2 in the form w*l + u + z*l**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 + -4153?\nAnswer: -4154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**2 - 7*s + 11. Let n be t(6). Let a = -20 - -35. Solve 0 = 5*u - a, 6 = -3*k + n*u - 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -6*c - 5. Let k(z) = 5*z + 4. Suppose 0*a + 3 = -a. Suppose -w + 4*l - 32 = 0, 15*w = 14*w + 2*l - 18. Calculate a*h(r) + w*k(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -49*w**4\/4 + 4141711*w**3\/2 + 1183349*w**2 + 169050*w.\nAnswer: -w*(w - 169050)*(7*w + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*n - 217*n**3 - 11*n + 231*n**3.\nAnswer: 14*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-50)\/(-25) - (1 - 1011). Suppose 0 = 2*z + 8, -3*z + 0*z - l = -5*v. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8\/3, 0.05, 0.\nAnswer: 0, 0.05, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(2\/5)\/o)**14)**(-3\/19) assuming o is positive.\nAnswer: o**(126\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -26 + 50. Suppose 0 = -23*a + l*a - 24. Calculate the least common multiple of a and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14976 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(448)*1 + sqrt(7) + -2).\nAnswer: -10 + 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21, 11\/5, -29, 1.4.\nAnswer: -29, 1.4, 11\/5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4599941g in kilograms?\nAnswer: 0.0004599941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/(-1*3\/(-4)). Let o = -2 - m. Solve -o*a + 0*a - 8 = 2*z, 5*a + 2*z = -11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, -306\/125, -303 in descending order.\nAnswer: -1\/4, -306\/125, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -316*c + 3180 = 79*c + 135*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 173*w**3 + 22*w**2 - 8*w + 2653. Let g(j) = -108*j**3 - 14*j**2 + 5*j - 1768. Give -8*g(y) - 5*u(y).\nAnswer: -y**3 + 2*y**2 + 879","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + 0 + 1 + (-33 - -49).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5235 - -5419. Solve 0 = 8*n - z + 184 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of (-1060)\/(-2120) + (42\/(-8))\/((-2)\/316)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 7*z + 2*z + 15 = 0, 0 = 2*i - z - 6. Suppose 5*v + 5*b + 10 = 0, 5 = -5*v - i*b - 1. Sort 3, v, -20 in ascending order.\nAnswer: -20, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -228*n - 15064. Determine i(-66).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002091248 to 5 dps.\nAnswer: 0.00209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15 - 0)\/(-26 - -27).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 684\/(-1989) + (-6)\/51\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 181657854341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 3*p**2 - 4*p - 8. Let r be g(5). Let f = 35 + r. Is 23 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*k + 24*k = 784. What is the greatest common factor of 32 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-146823)\/(-898)*(-4)\/(-6).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -0.2, -0.4, -5, 12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5*l**2*m**2 + l**2 - 49127*l*m**2 + 219*m**2 - 520862729 wrt m?\nAnswer: 10*l**2*m - 98254*l*m + 438*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -2 times 414692\nAnswer: -829384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -8 - (8 + -15 - 7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.040205 + -4.\nAnswer: -4.040205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 - 13 - 4*z + 6 + 9*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xvvy when four letters picked without replacement from {x: 1, c: 3, y: 6, r: 1, v: 2}.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes before 8:37 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (20\/(3520\/(-22)))\/((-2)\/16)*-41.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -13268?\nAnswer: 1\/6634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 56 and 229838.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s = -11*y - 94, 128312971*y - 128312967*y = 5*s - 47 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 86554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 28 - 18. Let j = -1.705 + -0.295. What is the second smallest value in m, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -255553, -256548, -257541, -258532?\nAnswer: -259521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - v + 16 = 0. Let t = 4 - v. Solve t = -b - 3*i - 10, 5*b + 3*i = 4*i - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.2 - 1.8. Let y = 6 - 3. Let n = -3 - y. Which is the biggest value?  (a) n  (b) 0.2  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5c53 (base 13) in base 10?\nAnswer: 13081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1629\/(-27) - 5)*(-12)\/104 - -7. Which is the second biggest value?  (a) y  (b) 0  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/8240 and 75\/2884.\nAnswer: 57680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 823500 divided by -1125.\nAnswer: -732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 5*k - 15 = 0, 0 = -2*a + a + 5*k - 5. Suppose -3*n + 4*j + 13 = -j, -5*j = 4*n - 29. Solve -2*u - 3*q + n*q = -a, -2*u + 13 = 5*q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-15)\/5 - -4 - -5. Suppose -20 = c - y*c. Let k(l) = 6*l + 5*l**2 + 1 + 1 + c. Let d(t) = 2*t**2 + 2*t + 2. What is 8*d(n) - 3*k(n)?\nAnswer: n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -1\/11*p**3 - 3\/11*p**2 - 2\/11*p + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21156743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -81 + 81.0000262. Round f to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-22*p**2 - 64*p**2 - 22*p**2)*(-4 + 6 - 4)*(0 - 1 - 1)*(p - p - p + 1)*(0 + 4 - 1).\nAnswer: 1296*p**3 - 1296*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 97097 and 88270?\nAnswer: 970970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 123 divide 14145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/(-6) + 1744\/(-24). Let g be 14\/4*z\/(-42). Suppose 0*q - 3*q = -g. Solve -q*t - 3*t - 5 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 + 260 = 54*x. Which is the nearest to 0?  (a) -7  (b) -0.4  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**3 + n**2 + n. Let r = -208 + 209. Let x(f) = 104*f**4 - 2*f**3 + 2*f**2 + 2*f - 57. Let q(t) = r*x(t) - 2*a(t). Differentiate q(w) wrt w.\nAnswer: 416*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 68.45 + -68. Let u = -1.35 + k. What is u rounded to two decimal places?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20 - -4) + 24 - (1 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(11\/5)*z*(z**(-7)*z)\/z)\/(z**1\/z)**47 assuming z is positive.\nAnswer: z**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) 0.04  (b) -8  (c) -15  (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - 3*i = -46 + 47, 4*i - 12 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 100 = -4*q, 2*a + a = 5*q + 43. Let z = a - 125\/2. Let r = -1\/678 + 3541\/226. What is the common denominator of z and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2749, 4866, 8389, 13312, 19629?\nAnswer: 27334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 13, 0.9, -6, 0.3991?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 272 - 189. Let w = b + -80. Solve -5*r = w - 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 10  (b) 3\/4  (c) 0.2  (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -0.04305 * -197.1\nAnswer: 8.485155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes after 10:14 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/5  (b) -3\/318884  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 21010 (base 3) in base 2?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v + 3*d + 2*d + 1403, 2*d = 5*v - 1741. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (30 - 64 - 62)*(0 + 3 - 5)*(-4*a + 3*a + 3*a) in the form s*a + y and give s.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1\/299012 - -26164177\/187480524. Calculate the common denominator of -37\/1368 and i.\nAnswer: 15048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1069.42058 + -0.4\nAnswer: -1069.82058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 127 = 3*q + 100. What is the remainder when 124 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 3 - (2 - (3 + 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.07 + -2.93. Let i = l - -2. Let k be ((-3317)\/(-124) - 26)\/((-15)\/8). Which is the biggest value?  (a) i  (b) k  (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 4*w + 93 = 0, 2*p - 5*p + 51 = 4*w. Calculate the lowest common multiple of p and 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, w: 1, v: 1, h: 6, x: 1, g: 1}. What is prob of sequence hx?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -270333 (base 10) to base 6.\nAnswer: -5443313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1017109*k + 339064*k + 339039*k + 339063*k.\nAnswer: 57*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*t = -1382 - 422. Let r(k) = -k**3 + 2*k**2 + 3*k. Let v be r(3). Let n(b) = -b + 86. Calculate the remainder when n(v) is divided by t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.053 times 0.085?\nAnswer: 0.004505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r - r - r)*(3314 - 666 + 8037 - 1980 + 2209).\nAnswer: 10914*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16 - 11. Suppose 5*q = d*g - 285, 5*g + 0*g = -5*q + 315. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o. Let a(i) = i**2 + 1. Let c be a(0). Let f(l) = -27 + 9 - 5*l + 18. Calculate c*f(q) - 6*b(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.1289 - 0.128900467. What is r rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -493 + 493. Which is the nearest to -0.1?  (a) -0.04  (b) 2  (c) 5  (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18*n**2 + 2*n**3 - 304*n - 661 + 304*n - 4*n**2 - 16*n**2 to i*n**2 + m*n**3 + l + s*n and give l.\nAnswer: -661","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = m - 3*m + 25, 20 = 4*j - 5*m. Let r(f) = f**2 - 7*f + 7. Let l be r(j). Let h = -6 - -6. Put l, h, 1 in increasing order.\nAnswer: l, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 308987276*w**5 - w**4 + 2393*w - 3697.\nAnswer: 6179745520*w**3 - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 2949.94 to the nearest 10.\nAnswer: 2950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*w + 115 + 77 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 63\/42 + 3\/(1 + -2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 110 = -0*j. Let s = 26 + j. Factor -2*u + 3 - 3 - s*u**2 + 6*u**2.\nAnswer: 2*u*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16257427, 32514869, 48772311, 65029753?\nAnswer: 81287195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:39 AM and 3:34 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:54 PM and 3:50 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 102727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3268 - 1636 + 28*h**3 - 1632 + 36*h**3 - 59*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-8)\/10*(-3)\/60. Let m = 9\/25 + j. Let g = -2 + 2.4. What is the closest to m in -2\/5, 4\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(192)\/sqrt(4) + -3)**2 + -3*sqrt(12)\/sqrt(4)*-2 + -1.\nAnswer: -18*sqrt(3) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -241179 + 207896237\/862. Find the common denominator of -7\/10 and y.\nAnswer: 4310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 32530\/3 - 10996. Let g = i - -154. Find the common denominator of g and -19\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 3*h**3 - 13 - 30 - 30*h**3.\nAnswer: -27*h**3 - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -86255807 bigger than -86255813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -89*w - 30*w - 96*w - 30*w + 18 + 10*w to l*w + f and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 471 - 3*o**2 - 238 + o**2 - 233.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 21\/22?\nAnswer: 21\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:55 PM and 2:48 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 3*f = -2*f + 11, 3*f - 17 = -2*a. Calculate the remainder when a is divided by 4\/(-5) + 136\/20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3747000 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: ((-663)\/1105*(8\/(-6))\/(-4))\/(-1)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (12\/8*((-4296)\/216 - -25))\/(3\/54)\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 65*-138934\nAnswer: -9030710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is b1f - 31e4?\nAnswer: -26c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - 90 = -5*m - 74, 0 = 4*a - 4*m - 16 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1997*f**3 - 24*f + 3*f + 3*f**5 + 1997*f**3 wrt f?\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 327839 to the power of 1\/2, to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*c - 14*c + 8 = 0. Solve 4*a = 3*x, -c*a = -3*x + a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10*1\/((-30)\/(-45))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*w = -502*w - 3604 + 23253 + 10199 for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 30131122 + -3?\nAnswer: 30131113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 a when two letters picked without replacement from qakitatqv?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-6)*p*p**(-3\/5)*p)\/(((p**4\/p)\/p)\/p*p**(-1)\/p)*(((p\/(p*p**(-4\/3)\/p))\/p)**28)**4 assuming p is positive.\nAnswer: p**(2186\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -356\/3 - -119. Let q = 3\/22 + -53\/66. Sort l, 0.2, q, -0.1 in descending order.\nAnswer: l, 0.2, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4608)*-1*6)**2.\nAnswer: 165888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-two fifths of a millisecond in microseconds?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**2 - 6*h - 4. Let s be l(6). Let d(v) = -2*v - 8. Let k(n) = -3*n - 17. Let m(j) = -5*d(j) + 2*k(j). Give m(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nntqdrqztqnqnqt. Give prob of sequence qdnt.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 2, b: 2, q: 6, c: 3}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 888978?\nAnswer: 2, 3, 229, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*s - 6*s - 220. Let w be (-1)\/4 - 234\/(-8). Let r = w - s. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 5*q + 22, -3*n - 2*n = q - 18. Let v be -1 + (-1 + 3 - q). Solve v*l = -5*r - 7, 3*l + 3 = -2*r - r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 - (-170)\/(-8)*(-72)\/180.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 144 - 1717454642972.\nAnswer: -1717454642828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52913.\nAnswer: 7, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*q + 13*q - 42*q.\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) + sqrt(51)\/sqrt(3))*4 + (2*sqrt(136))\/sqrt(8) + 4 - ((sqrt(1377)*-1 + sqrt(1377))*4*-5)**2.\nAnswer: 4 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r**3 + 0*r**3 - r**3)*(-5*r + 3*r + 3*r) - 3*r**4 + 3*r**4 + 3*r**4 + 2*r**4 - r**4 + 2*r**4 + (0 + 1 - 4)*(0*r**4 - 2*r**4 + 0*r**4).\nAnswer: 13*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -12*q**2 + 51*q + 355. Let r be k(-16). Which is the third smallest value?  (a) -5  (b) 0  (c) 4  (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -148 + 155. Let q be (o*3\/63)\/(2\/(-24)). Put 30, -5, q in descending order.\nAnswer: 30, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2114 + 3926. Calculate the lowest common multiple of 1 and q.\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the third derivative of u**4\/24 - 2*u**3\/3 + 2*u**2. Let v be k(6). Suppose -6*y**3 - 2 + y + 2*y**4 + 2*y**v - 2 + 5*y = 0. What is y?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/27)\/((-10)\/30).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*i = 17*i - 32. Suppose -o - i*z = -2*z - 61, -o + 64 = 5*z. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -561*f - 4436. Give h(-8).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the first derivative of m**3 - 8. Let y(z) = 3*z**2. What is k(y(x))?\nAnswer: 27*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.06 - 0.06. Let s = d - 0. Let m = -0.5 - s. What is the third smallest value in -2, m, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes after 5:25 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + x = -4*x - 11, p = x + 5. Suppose p*y - 2 = y. Let i(t) = -13 - 4*t**2 - 5*t**2 - 6*t**y. Let w(b) = -7*b**2 - 6. Calculate 6*i(m) - 13*w(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 7, h: 2}. What is prob of sequence ohh?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1752 is divided by 330?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u + 2. Suppose 0 = -4*p - 3 - 5. Let i be t(p). Solve 5 = i*s - 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the first derivative of -n**5\/5 + n**4\/3 - 62*n - 42. Let f(q) be the first derivative of w(q). Solve f(c) = 0 for c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1776, 4, -8, -3, 16 in ascending order.\nAnswer: -8, -3, 4, 16, 1776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 66534?\nAnswer: 2, 3, 13, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14530570, -29061139, -43591708, -58122277, -72652846?\nAnswer: -87183415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 equal to 5\/266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 + 1207\/68 + (-47)\/4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-50)\/(-10 - -12) - -12) + -8.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:03 PM and 7:09 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2.61 in 5, 41, 1, 134, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -708225*g + 708242*g + 4 + 3*g**3 - 6*g**2 - 4*g**3 as v*g**3 + j + i*g + d*g**2 and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 103, 349, 783, 1429, 2311, 3453, 4879?\nAnswer: 6613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6, 50, 126, 234, 374?\nAnswer: 546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(-2\/3)*c)**(-2\/81)*(c*c\/(c**1*c))**3)**(2\/45))**(-7\/9) assuming c is positive.\nAnswer: c**(28\/98415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from auuu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 4*m**2 - 86*m - 182. Let n be b(-2). Solve -s = 4*t + 12, -s - n*t = -3*t + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -65035266 and 3.\nAnswer: -195105798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 216102 (base 7) to base 9\nAnswer: 57260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-567)*-21 + 166\/(-36))*(-14520)\/1188.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.1 + 0. Let a = -0.4 + t. Let r be (23 - 32)*(-74)\/(-222). What is the closest to -3 in r, a, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*(-2)\/315*21\/6.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 92 a factor of 135292072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**4 + r**4 - r**4)*(0 - 2 - 3)*(r - 2*r + 0*r).\nAnswer: -10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n = -5*b - 2*n + 6, 3*b = 4*b + 2*n - 29 + 52 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, u: 1, d: 2, e: 10}. What is prob of sequence ue?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 251257 is divided by 7172.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1451076 and 0.553?\nAnswer: 802445.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (5 - 4) + 1*31. What is the common denominator of 97\/8 and 17*(k\/(-11) - -3)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*r**2 + 491 - 28*r**2 + 4*r**2 - 2*r + 3*r**3 - 490 to y*r**2 + h*r + b*r**3 + v and give y.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes after 6:09 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1208154 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -14*y - 3. Let u(a) = -a. Let l(g) = m(g) - 6*u(g). Let v be l(-2). Suppose -4*z - 4*d - 22 = -66, z - v = -3*d. Solve -4*p - z = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.12 from 2.3.\nAnswer: 2.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 703 divide 5383333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (0\/(0 + -26))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**2 - 4*j + 282. Let x be ((-2)\/(-12))\/((-2)\/4)*0. What are the prime factors of i(x)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 111 + -4?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(5) + sqrt(5) - sqrt(5))*-4)**2 + 0.\nAnswer: -32*sqrt(5) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5499128047.\nAnswer: 7, 112227103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2*r**3 + 1)*(-r**2 - 3*r**2 + 5*r**2) + 2194*r**5 - 6121*r**5 - 1814*r**5.\nAnswer: -5739*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*(-1954)\/56 + (106917\/2198)\/227?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 56*x. Let u be b(-1). Let n = u - -98. Suppose -5*j + n = -4*t + t, 3*t - 21 = -2*j. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 2*w - 5*w - 26 = 0, 3*w - 14 = y. Let k be (-1 - -1) + 8\/y. Let s = -0.1 + 2.1. Which is the closest to k?  (a) -0.2  (b) s  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(130)\/(sqrt(10) - 2*sqrt(10))*4)**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/2  (b) 0.1  (c) -3  (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 91563?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -8 - (58 + -70).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5090 smaller than -1721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 42249 - 32939. Calculate the smallest common multiple of 10241 and b.\nAnswer: 102410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-13)\/(-26)*((-45)\/(-20))\/((-15)\/(-40))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the second derivative of v**5\/4 - v**3 + 123*v - 3. Let p(g) = 10*g**3 - 13*g. Calculate -13*j(q) + 6*p(q).\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.020508502 rounded to five dps?\nAnswer: 0.02051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2 + -2 + 3*12\/9. Suppose -g - 4 = -3*u + 4*u, -u - 3*g - 8 = q. Let i = -3\/245 - -108\/245. Put 31, i, u in descending order.\nAnswer: 31, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 5 - (1 + 0 + 1). Suppose y*t - 10 = 59. Solve 0 = -p + 5*q + t, 0 = -p - q + 3 - 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 24 and 384?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -13*p**2 + 2258*p - 1577. Give y(173).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**2 - 2*k. Let r be c(-1). Suppose -35 = -3*n - 4*l, 8*l - 20 = n + r*l. Which is smaller: n or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 - 34354?\nAnswer: -34361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 940657.8 microseconds in minutes?\nAnswer: 0.01567763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the third derivative of -b**4\/8 + 83*b**3\/6 - 2*b**2 - 5. What is the first derivative of j(o) wrt o?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 344 and 777192?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 + -4.6. Let x be (5\/((-30)\/12))\/(2\/(-4)). What is the smallest value in d, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the third derivative of 85\/4*v**5 - 4\/3*v**6 + 1\/42*v**7 + 0 - 640\/3*v**3 + 20\/3*v**4 + 0*v + 222*v**2. Suppose s(b) = 0. Calculate b.\nAnswer: -1, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 246\/1*7*4*(-13)\/(-2184)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (118 + -117)\/((-25)\/600*3\/2)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes after 3:38 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**2 - 9. Let i(u) = -u**2 - 3*u - 3. Let g(o) = -o**2 - 4*o - 4. Let n(m) = 3*g(m) - 4*i(m). What is n(s(w))?\nAnswer: w**4 - 18*w**2 + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 31027\/10626 + (-4)\/22 - (-304)\/(-114)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/4*5\/(-125)*10?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 1303\/164970?\nAnswer: 1303\/164970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 180 = -5*m, -2*m + m - 36 = -3*u. What is the units digit of (m\/27)\/((-3)\/981)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -90.075 - 0.455. Let t = -91 - j. What is t rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:28 PM and 10:35 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 38 and 668610.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 749331 and 2233.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 20500 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-252)\/4 + 1 + 1. Let v = 65 + n. Solve -h + 0*h + v = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the second derivative of -5*g**5\/4 - 149*g**2\/2 - 306*g. Find the first derivative of b(z) wrt z.\nAnswer: -75*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -80, -1 in decreasing order.\nAnswer: -1, -2, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 116.1 + -20.6. Let g = c - 95.501278. What is g rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7786\/117 + -868\/13. Let g = -8\/107 - 487\/642. Which is the nearest to 1?  (a) 1  (b) g  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2.12 - 0.88. Let w = 32.011 + -32. Let v = w + -0.011. What is the closest to 2\/5 in -1, k, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6751 + 6557. Is 4\/7 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*q = -10*q - 105 - 270 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2 - 3) + (1 - 0). Let v = -8 - -3. Sort -4, v, u in increasing order.\nAnswer: v, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1836, 9492, 22252, 40116, 63084, 91156?\n\"Answer: 2552*g**2 - 716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 773814 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -119269140093 - -5.\nAnswer: -119269140088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.009 - -0.4557?\nAnswer: 0.4647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1154 in -7, 2, -2, -6, -1\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 211159.4, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10 + 132\/(-15))\/(-7 - 2064\/(-300)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -5915*t**2 - 175*t. Let p(y) = 68*y**2 + 2*y. Let x(s) = -175*p(s) - 2*q(s). Let j(b) = -b**2. Give j(x(z)).\nAnswer: -4900*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -6762 divided by -7?\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r + 3*c = -27, -32 = -5*r + 75*c - 73*c for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**0\/j)**(-50)\/(j**(-8)\/((j**(-4)\/j*j)\/j)))**(-20) assuming j is positive.\nAnswer: j**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -3*k**3 - 5436*k**2 - 3020175*k - 532093782 = 0.\nAnswer: -946, -433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -19*(2 - 1) + 1. Let l = -13 - d. Solve -4*p - t = -19, -4*p + 6*p - 5 = -l*t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76*y - 379 - 220 = 1281 + 780 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -714*c + 716*c + 5*h + 12 = 0, 0 = -c - h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -13 + 4 + ((-3 - 2) + 1 - -4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 168 = -4*t - 18, -279 = -4*b - t. What is the greatest common factor of 115 and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88646057 to the power of 1\/2, to the nearest integer?\nAnswer: 9415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3 - 2)*(-37*c - 65*c - 30*c).\nAnswer: -132*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 19 = 99*g - 95*g. Put 5, 4, 6, g, -1 in descending order.\nAnswer: 6, 5, 4, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -146, -120, -60, 40, 186?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 70929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 12 = -4*z + 20, 8 = 4*z + 4*f. What is the second derivative of 107*a - 10*a + 50*a - z*a**5 - 31*a**5 wrt a?\nAnswer: -720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rurf when four letters picked without replacement from {u: 1, q: 1, f: 6, r: 7}.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a + 12. Suppose -3 = x + 3*w, 26 = 4*x + 3*w + 29. What is c(x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 54823968, 109647942, 164471916, 219295890, 274119864?\n\"Answer: 54823974*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 238798.96 rounded to the nearest 1000?\nAnswer: 239000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -2*u**3 - 3*u**2 + 5. Let q be n(-8). Let i = q - 381. Suppose -8*x + 4*x = 4*b - i, -5 = -5*x. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.4 - 2.1. Let m be (-11)\/55 - (0 - 1). Put -3, 3, o, m in decreasing order.\nAnswer: 3, m, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((220\/225)\/11)\/((-70)\/(-63)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 65\/1 + (0 - 2). Suppose 0 = -o - 2*o + 2*z + 193, -o + 2*z + v = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 4 and 0.424.\nAnswer: 4.424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -40873*l*n**2 - 963*l + 5023*n**4 + 198719 wrt n?\nAnswer: -81746*l*n + 20092*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -869885 (base 15) in base 14?\nAnswer: -bcc562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 547163333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the second derivative of 25*r**7\/42 + 2*r**6\/5 + 5*r**4\/12 - 73*r**2\/2 + 307*r - 2. Find the third derivative of m(h) wrt h.\nAnswer: 1500*h**2 + 288*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -4*k**5 - 1060*k**4 - 52992*k**3 - 199376*k**2 - 195200*k = 0.\nAnswer: -200, -61, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 - (-263770)\/(-52)*15*-4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0, 14, 0.3, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 1262 + x + 1257 - 2519. Let a(y) = 3 + 2*y - 3. Calculate a(j(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 33\/407720 and -99\/10356088?\nAnswer: 51780440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u - 1. Let q(o) = 3*o + 11. Let t(b) = q(b) + 2*y(b). Let n be t(-9). Let s(a) = -3*a**3 - 2*a**2 + 2. Let g be s(-1). Solve -i + g = -n*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 120642434034 + -120642434808.00000507. Let t = 774 + j. What is t rounded to 7 decimal places?\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5.80999274 + -5.81. Round v to seven decimal places.\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 + 3.5. Let n = -0.5 + -1.5. Let h = n - -4. Which is the nearest to h?  (a) -3  (b) 5  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 5 + 0*w**3 + 5*w**3 - 4*w - 4*w**3 - 3*w**2. Let q be c(4). Suppose q*v = 4 + 6. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -30*q**3 + 4*q**2 - 136*q + 529. Determine f(4).\nAnswer: -1871","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*i + 14. Let z be 14*1\/(i\/(-2)). Sort 0, z, 4.\nAnswer: 0, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:55 PM and 9:17 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 47 = -3*h, 2*c = -0*c + 8. Suppose 0 = 11*n - 7*n - 16. Calculate the smallest common multiple of 2 - n - ((-4 - -5) + -18) and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 4*w, -4*w = -7*w - 3*c - 6. Suppose -n - 4 = 3*t, -w*n - 2*t - 5 = 3*t. Calculate the remainder when 9 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 273 and 5187.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2628509*r**5 - 25*r**3 + 1443*r**2 + 2*r + 119757 wrt r.\nAnswer: -157710540*r**2 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 times -2.7?\nAnswer: -45.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:32 AM and 8:05 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -39.09798555 less than 52599?\nAnswer: 52638.09798555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p + 4*s + 6600000, 5*p + 5*s = 7279656 - 679656. What is p rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (5 - -1)\/2 + -3. Suppose 4*q + 3*c = 18 + 9, c = 5. Sort q, 2, z in increasing order.\nAnswer: z, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-7)\/(-2)*1000\/70. What is the highest common factor of 20 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5204*k**3 - 17525*k wrt k?\nAnswer: -31224*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the third derivative of -h**6\/30 + h**5\/3 - 4*h**4\/3 + 8*h**3\/3 - 6*h**2 - 3*h. Determine i so that l(i) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22110401 (base 5) to base 3\nAnswer: 100201111002","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: 719, 709, 699, 689, 679, 669?\nAnswer: 659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -155 + -23 + 49 + (-4 + 2 - 11) - -12?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 10 - 2 = 0. Suppose f*x + 12 = 0, 21 = -d - 5*x - 3. Sort 5, 2, d in descending order.\nAnswer: 5, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 48\/(-20)*10\/(-3). Suppose v = -0*v. Let y be v*(-2)\/4*-1. Solve -3*n + f - 23 = y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -803450, -803447, -803442, -803435?\nAnswer: -803426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -67, -46, -15, 26?\n\"Answer: 5*d**2 + 6*d - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11\/2 - -5. Let g = -581 - -583. What is the second biggest value in i, 0, g, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2839, -5676, -8513, -11350, -14187, -17024?\nAnswer: -19861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3320.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3640)\/175*250\/(-200))\/(2\/4)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.2 - -2.2. Let x be 2*1 + 4\/(-6). Which is the smallest value?  (a) h  (b) -2  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 3*m - 2. Let w be 4\/m*(-2)\/18. What is the third smallest value in -2\/9, -2\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x**3 - 1 + 1)*(2 - 2 + 2*x)*(2 + 4 - 5 + (2 + 1 + 3)*(-1 + 4 - 1)).\nAnswer: -52*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(130)\/(sqrt(640)*-3).\nAnswer: -sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001952163 to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 105\/(-40) - (-3)\/3.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 528187.\nAnswer: 11, 48017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = -53 + 158. Suppose -38*h = -37*h - k. Calculate the greatest common divisor of h and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 181748.02 to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 579300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -72*z + 1732. Let d be v(-12). Calculate the highest common factor of d and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:12 PM and 11:50 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put together -31 and -74194895.5.\nAnswer: -74194926.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -209 (base 14) in base 2?\nAnswer: -110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -74*n + 2797. What is r(38)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -43*r**3\/5 - 256*r**2\/5 - 332*r\/5 + 16\/5 = 0.\nAnswer: -4, -2, 2\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -133*x + 89*x + 484 = 0 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 61*x - 60*x**3 - x**2 - 59*x**3 - 2*x wrt x?\nAnswer: -714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 113093, 117383, 121673?\nAnswer: 125963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.0956302173 and -0.3.\nAnswer: -0.3956302173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 0*k - 4*k + 42524 = 0, -4*v = -4*k - 34012. Let l = v - 1287. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11161369 is divided by 103?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from ngyriiygrrgdgr.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 45 + -31. Suppose 7*s + 0 - u = 0. Suppose s - 17 = -w. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate -37054*l**3*q - 2*l*q**2 - 2*q**2 + 6*q - 8062 wrt l.\nAnswer: -111162*l**2*q - 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -4959*k**3 - 2*k**2 - 11*k - 14. Let c be n(-4). Let i = c - 544774. Round i to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 82331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w**2 + 331*w - 2 - 377*w + 1)*(7 - 198*w + 387*w - 193*w).\nAnswer: -8*w**3 + 198*w**2 - 318*w - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (79\/158)\/(2\/(-20))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 30.09 + -28.09. Let d(z) = z - 3. Let v be d(6). Sort 0.5, v, h.\nAnswer: 0.5, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*g**5 + 56027*g**4 + 1458841*g**3 - 15515801*g**2 + 27392225*g + 13531350 = 0. What is g?\nAnswer: -1841, -35, -2\/5, 3, 35\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.29 and -312789655.\nAnswer: -312789655.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 8 (base 12) to base 3\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1743014245?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2003 - 3?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 8649*p + 2. Let u(s) = 51*s. Give g(u(m)).\nAnswer: 441099*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*q**5 + q**4 + 462*q**3 - q - 14841.\nAnswer: -40*q**3 + 12*q**2 + 2772*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -1191400*j**2 + 8339796*j + 28 = 0. What is j?\nAnswer: -1\/297850, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -293546.\nAnswer: -5\/293546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5.55 + -0.0496.\nAnswer: 5.5004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -7991, 7756, 23503, 39250, 54997, 70744?\n\"Answer: 15747*v - 23738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (400\/24)\/(-5) - 20\/30.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 288*z + 279*z + 299*z + 257*z - 1330*z + 287*z.\nAnswer: 80*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*t - 86*t = -30*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -4*n. Let i(t) = -377*t - 52. Let o(b) = -42*b - 6. Let g(p) = -3*i(p) + 26*o(p). What is x(g(q))?\nAnswer: -156*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -4*k**2 + 1. Let h be x(1). Let a be ((-18)\/4)\/(h\/4). Suppose 5*v - 71 = -a. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 3*y - 1956 = 0, -y = -67 + 63. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2598.657g to tonnes.\nAnswer: 0.002598657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -444 - -440. Suppose 0 = -u + 2*q - 3 - 2, -u - 3*q + 15 = 0. Sort u, n, -37 in descending order.\nAnswer: u, n, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 + -1. Let g(c) = c + 4. Let w be g(-4). Let z be 35\/5 + (w - 4). Solve o + z + n = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1467*r**2 - 18401*r**2 - 6216*r**2.\nAnswer: -26084*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p + 14*t = -2*t - 298, -10642 + 10676 = 2*p - 2*t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/36*(-2)\/(-17)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 8175.6 rounded to the nearest ten?\nAnswer: 8180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the third derivative of -23*x**2 + 0*x + 0*x**3 + 0 + 0*x**4 + 1\/15*x**5. Let b(u) = 5*u. What is b(h(n))?\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -513*l**2\/8 - 2049*l\/8 + 3\/2 = 0 for l.\nAnswer: -4, 1\/171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**2 + 2*h. Suppose k + 5*t = 17 + 10, -5*k - t = -15. Let y be z(k). Suppose 6 = -2*x - y*x. Let q(s) = s**3 + s**2 - 2*s + 3. Determine q(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from exe. Give prob of sequence ee.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the first derivative of -s**4\/4 - 7*s**3\/3 - 7*s**2\/2 - 9*s - 969. Suppose -3*p = 17 + 1. Determine x(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.41431 millennia to years.\nAnswer: 4414.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -2*d**2 - 14*d - 7. Let z(p) = p**2 + 14*p + 8. Let n(g) = -3*f(g) - 4*z(g). Let y be n(8). Differentiate y + 2 - 13*b**4 - 1 + 1 with respect to b.\nAnswer: -52*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11394855.\nAnswer: 3, 5, 181, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kudduukd. What is prob of picking 2 d?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 172303 is divided by 23989?\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6987\/14 - 997\/2. Put 1.1, b, -10 in decreasing order.\nAnswer: 1.1, b, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -13*g. Let h be 1*-3*(-2)\/(-3). Is v(h) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1204139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 27\/2 of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes after 5:58 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -1025*i + 301. Let o be v(-9). What is the greatest common divisor of 22 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 144*s - 152*s + 40 = 0. Solve 3*f - 6 = 2*r + 4, -4*r = s*f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 - ((5 - (19 - 37)) + 2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s + 1. Suppose -6 = -2*w - 0. Suppose -5*g = -2*z - 31, w*z + 22 = -2*g + 4. Let h be u(z). Solve j = 2*d + 3, -h = -d + 5*d - 3*j for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**3 - 11*g**2 - 9*g + 2. Let d be q(-10). Let l(s) = 2*s**2 + 12*s + 12. What are the prime factors of l(d)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 + 1.5. Let a be 6\/21 - (-60)\/(-14). Suppose n = -2*j - 0*n, 2*n = 4*j + 16. What is the closest to j in -5\/2, q, a?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from mqmxvq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.8 - -1. Let q = -4 + f. Let g = 545 + -550. Which is the nearest to -2?  (a) q  (b) -3  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-56)\/(-196))\/((-2)\/14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3\/((-30)\/(-5)*-1)*7*4\/7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11263 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h + 4 - 4)*(0*h**4 + 2708*h**3 + h**4 - 2811*h**3).\nAnswer: 3*h**5 - 309*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**6)**(-15) assuming o is positive.\nAnswer: o**75","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 849998 is divided by 291.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1159*y**3 - 37514597*y**2 - 2*y + 37514597*y**2 + 1.\nAnswer: 1159*y**3 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*b - 16*b - 4. What is the smallest common multiple of b and 233?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (-7 - -2) + 4 - -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.59948 + -2.6. What is g rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the first derivative of n**3\/3 - n**2 - 11*n - 3. Let s be d(-5). List the prime factors of (21\/4)\/(9\/s).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 2*w**2 - 3*w + 9 - 6 - w**2 + 1. What is the units digit of s(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*p + 2*q, -3*p - 8*q + 3*q - 11 = 0. What is the units digit of (-2 - -1)*(-20 - p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4c8787 + -73?\nAnswer: -4c880a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 10*f**3 + 54. Let h(m) = -10*m**3 - m - 54. What is 4*g(s) + 3*h(s)?\nAnswer: 10*s**3 - 3*s + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 18*d + 3. Let o(x) = -23661*x + 1 + 4 - 7 + 4 + 23678*x. Calculate 3*h(w) - 4*o(w).\nAnswer: -14*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 58, 258, 594, 1066, 1674?\n\"Answer: 68*b**2 - 4*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**2 - 5*z + 8. Let o be a(4). Suppose o*w - 7 = 29. Solve 4*i + w + 11 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 206078084*m**4 + 4*m**2 + 107038*m + 56?\nAnswer: 4945874016*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -1386 divided by -747\nAnswer: 154\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 176633811 is divided by 3679871?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9732526 is divided by 2433109?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 + 28 = 3*d. Let v(q) = -q**3 + 8*q**2 - 7*q - 7. What is the remainder when v(6) is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 89454440 to the nearest integer?\nAnswer: 9458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes after 3:19 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1188 + -1?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 236 + -59. List the prime factors of h.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -49, -92, -135, -178, -221?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 944.0324ng?\nAnswer: 0.9440324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 3633 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u\/u**(-2\/11)*u\/(u**0\/u)*u*u*u**(-1\/2)*u*(u*u**7)\/u)\/(((u*u*u\/(u*u**(-1\/10)))\/u)\/(u\/(u**2\/u*u)))**(15\/4) assuming u is positive.\nAnswer: u**(511\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/4473 and -73\/126.\nAnswer: 8946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 31 - 29. Suppose k - 4 = 3*k, h*c = k. Let x(f) = -32*f**3 + f**2 + 2*f + 1. What are the prime factors of x(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (13 + -8 + 11 - 4) + -13 - 68\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(119)\/((sqrt(35)*1)\/sqrt(5)) + sqrt(136)\/(sqrt(48)\/(sqrt(6)*-2)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the second derivative of -g**7\/280 - g**6\/60 + 4*g**3\/3 - 8*g. Let p(r) be the second derivative of n(r). What is a in p(a) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*c - 524 + 146 = 0 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/2*26\/(-13). Let k be (r - 0)\/(11\/110). Suppose -4*u = z + u + 20, 0 = -5*z - 3*u + k. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -26*m - 25*m - 2 - 3*m**3 + 9*m**2 - 24*m + 77*m to the form h*m**3 + s*m**2 + f + v*m and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -102.058 rounded to the nearest integer?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10935036 and 72?\nAnswer: 21870072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -0.1374, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1341 is divided by 150?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (118\/(-177))\/((-2)\/6). Solve k = -p - 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -16 + 75*o**2 - 14 - 9 - 4*o**2 + 44 in the form z*o + c*o**2 + u and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*h**3*l*t**2 - 6084*h**3*l - 4*h**3*t**3 + 3*h**3*t**2 + 2*h**2*t**2 - h*l - 139991*l*t**3 wrt t.\nAnswer: -24*h**3 - 839946*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add 293105803707 and -5.2.\nAnswer: 293105803701.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44514204.\nAnswer: 2, 3, 7, 331, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2324)\/(-2730) + (-9090)\/(-702) + -13.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -36501 plus 20.8?\nAnswer: -36480.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29 - 69 + 35 = -5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 66, 64, 62, 60, 58?\n\"Answer: -2*u + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 81687 is divided by 474?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qhhh when four letters picked without replacement from {q: 12, h: 6}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 111385*29.7\nAnswer: 3308134.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand p**5 + 0*p**5 + 16*p**4 + 12*p**4 + (-2 - 2*p**2 + 2)*(p**3 - 3 + 3) + (-p**3 + 0*p**3 - p**3)*(p**2 + p**2 - 4*p**2) - p - 2*p**5 + p.\nAnswer: p**5 + 28*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1349 - -1348. Let z = -0.72 - -0.22. Put f, z, -3, -3\/4 in decreasing order.\nAnswer: z, -3\/4, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 104102 and 364357.\nAnswer: 728714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 217308*x - 217320*x = -288 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the second derivative of 0*g**3 + 0*g**5 + 0 - 1\/2*g**2 + 235*g - 11\/4*g**4 - 23\/6*g**6. What is the third derivative of p(r) wrt r?\nAnswer: -2760*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 112 divided by 112.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 36\/72 + (0 - 2). What is the fourth biggest value in r, 4, -0.5, -2\/13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1830\/7 - 261. Let h = 1370 + -1367. Which is the third biggest value?  (a) 1  (b) p  (c) 0.5  (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 32*h**3 + 33*h**2 - 1137*h - 3. Let t(j) = 3*j**3 - j - 1. Let s(a) = i(a) - 3*t(a). Find the second derivative of s(f) wrt f.\nAnswer: 138*f + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 + -3. Let h(x) be the first derivative of 1 + 1\/3*x**3 + 1\/2*x**2 + n*x. Find the second derivative of h(r) wrt r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2736105 divided by -5\nAnswer: -547221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 126*i + f + 453 = 110*i, 2*i - 3*f + 41 = 0 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1802791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -30*p**3 - 10*p**2 + 283*p?\nAnswer: -180*p - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 330076213 divided by 6\nAnswer: 330076213\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 k when two letters picked without replacement from {u: 3, k: 5, m: 7, n: 2, v: 1}.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 119.4 - 115.3957. Let s = o + 0.0857. What is s rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10100011111100010100001110 + 100?\nAnswer: 10100011111100010100010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**3 - 11*x**2 + 7*x - 23. Is v(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3544\/443*54\/16*190\/(-114)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 14384 and 5884216.\nAnswer: 364821392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 14194624 to the power of 1\/3, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2)*(2*y - 3*y - y) - y + 14*y + 2*y - 7*y - 10*y + 5*y + (-15 + 15 + 5*y)*(-3 + 3 + 3).\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 92084771, 184169543, 276254315, 368339087, 460423859, 552508631?\nAnswer: 644593403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f**2 - f**2 + f**2)*(-2 + 2 + 4*f) - 4*f**3 + 5*f**3 + 0*f**3 - f**3 - 3*f + 3*f + (-f + f + 2*f**2)*(f - 3*f + 4*f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -19*k**4 - 5*k + 13*k**4 + 7*k**4 + (5*k + 3*k - 7*k)*(2*k**3 - k**3 - 4*k**3).\nAnswer: -2*k**4 - 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Total of 5414 and 0.194725.\nAnswer: 5414.194725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 >= 23.423091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 2 = -4*r - 5*x, 4*r + 4*x = 0. Suppose q = -r*q + 52. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**2 - 7*q - 1. Let d be u(7). Let x = -1 - d. Solve -5*h + 25 = -x*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1546112?\nAnswer: 2, 47, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 367008889 to the nearest integer?\nAnswer: 19157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*z - 2*i + 9, -9*z = -11*z + i - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -3 - 11*s**2 + 12*s**2 - 23*s - s**3 - 4*s + 15*s**2. What is the remainder when a(14) is divided by 87\/21 - (-12)\/(-84)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(209)\/(sqrt(11) - sqrt(11)*-2) - (sqrt(19) - (0 + sqrt(19)*1)))*6.\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1044, 1073, 1102, 1131?\nAnswer: 1160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2334167?\nAnswer: 11, 443, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3 + (-6 - -1))*-6. Let x be (h\/(-40))\/((-66)\/(-5)). Let q = -75.7 + 76.7. What is the closest to x in 1\/4, q, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 61541317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000106 to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2262757 to the nearest integer?\nAnswer: 1504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -184*m = -194*m + 132170. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*l**3\/5 - 18*l**2 - 262*l\/5 - 12.\nAnswer: -2*(l + 5)*(l + 6)*(4*l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 56*f + 30. Let p(v) = -v**3 + 2*v**2 + 5*v - 7. Let y be p(2). Is 11 a factor of w(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11 + -9. Let k be (0\/2)\/(3 - 1). Suppose k*a = -a + 4. Sort 0.2, a, r.\nAnswer: 0.2, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28, -21, -4, 29, 84, 167, 284?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the first derivative of -p**4\/2 - p**3\/3 + p**2 - 2*p + 23. What is the hundreds digit of h(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4599370 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**2 + 7*p + 1. Let g be o(7). Let i = -20 - -39. Suppose 0 = 5*y - i - 16. Solve -g = 4*m + 3, -4*m = -3*f + y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -2*g + 9. Let s be d(-13). Let t = 25 - 3. What is the least common multiple of 413\/s - (-2)\/10 and t?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q**4 - 246*q**3 + 1251*q**2 - 1004*q = 0. Calculate q.\nAnswer: -251, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11001001101000 - -1100000101?\nAnswer: 11010101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, u: 6, i: 1, r: 2}. Give prob of picking 2 s.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, -19, -5, -20, 4 in decreasing order.\nAnswer: 12, 4, -5, -19, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*(0 + 13 + (-5656)\/(-1302)*-3).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.3348077 to three dps.\nAnswer: 0.335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 58783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-121*c**2 + 69*c**2 + 66*c**2)*(-1 + 3 + 0)*((2 + 1 - 1)*(-3 - 3 + 5) - 16 + 30 + 9)*(-2*c - 1 + 1).\nAnswer: -1176*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 2*p**2 + 183640*p - 14336088 = 0.\nAnswer: -91898, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*i**3 - 72*i**2 - 5*i**2 + 427 - 427 to the form q*i**3 + x + u*i + m*i**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -545\/244 or -3?\nAnswer: -545\/244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39 + -17 + -15 + 29.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*(i\/(i*i**(-6)*i*i*i))\/i)\/i*i)\/(i\/(i**(-2\/3)\/i*i)*i*i)*(i**0)**(-39) assuming i is positive.\nAnswer: i**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 2, 5\/8, 1\/2, -9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-178 + 178 + 23*t)*(3*t**2 - 5*t**2 + 3*t**2).\nAnswer: 23*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 6 - (8 - (15 + -8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((5*sqrt(90)\/sqrt(3) - sqrt(30))\/sqrt(5))\/(3*(sqrt(162) + sqrt(162)*1)).\nAnswer: -2*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/(-3 + -4 + 6). Suppose 26 = 2*j - 4*y - y, -5*y = 5*j + 5. Let t be 3\/j*2\/3. Which is smaller: k or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**2 + 449*p + 422340. Give d(-463).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(720)\/(sqrt(12) - (sqrt(1200) + -1*sqrt(1200))))\/(sqrt(48)\/(-2*sqrt(16))).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 476 is divided by 471.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -2*l**2 - 15*l - 4. Let p be h(-7). Suppose -5*c - 3*o = -446, -c - 2*o = p*o - 98. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1138030.\nAnswer: 2, 5, 317, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 - 30*s + 216. Calculate m(-36).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4894059 to the power of 1\/2, to the nearest integer?\nAnswer: 2212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 75.49 - -2.\nAnswer: 77.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t**2\/5 - 156*t - 15210 = 0 for t.\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 52 = -6. Suppose -4*g = -13*b + 15*b - y, -4*b + 56 = -4*g. What is the remainder when 52 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 14076.8 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -8618549.6 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1\/6, -87, -2\/7, 0.4 in decreasing order.\nAnswer: 0.4, 1\/6, -2\/7, -2, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = 4*v + f - 8, 5*v = 4*f + 10. Is (-1)\/v*(-362 - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 2*r**3\/5 + 876556*r**2\/5 + 19199816536*r - 1960205648880 = 0.\nAnswer: -219190, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 147 or -0.02?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(7) + 0)*-1)**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 25 = -5*w. Let n(s) = -s**2 - 5*s + 5. Let k(p) = -9*p + 7*p - 2*p + 3*p + 1. What is w*k(l) + n(l)?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.0353107 and -142.\nAnswer: 5.0141194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -3*q + 2189, -4*q = -4*j + 475 - 3431. Is 25 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -45531255 (base 6) in base 5?\nAnswer: -324133430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -185 + 840 + 0*d + 2*d**2 + 4*d - 409 in the form a + s*d + x*d**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -12*i**3 + 11*i**3 - 21*i + 7 - 10*i**2 + 26 - 7. What are the prime factors of d(-11)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 46 (base 13) to base 16\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i - 10, -a + 4*a + 5100002 = -i. What is a rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*b + b - 14*b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -221*z**3 + 33*z**2 - 103379*z wrt z.\nAnswer: -1326*z + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 153100 to the nearest one thousand.\nAnswer: 153000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes after 6:18 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (5\/(-3))\/((-15)\/(-9))*(1 + -41). Solve 0 = w*r - 29*r + 22 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3 + 0 - (0 + (2 - 3)). Is o\/(-34) - 55825\/(-119) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -11*z. Let t(c) = -43*c + 2. Calculate q(t(u)).\nAnswer: 473*u - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v - 6 - 6. Suppose n + 3*k = 5*k - 11, -n + k - v = 0. Which is the third biggest value?  (a) n  (b) -1\/2  (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -22.258636 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**2 - 16*l + 20. What is the tens digit of a(17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1868211599.\nAnswer: 1868211599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -330873091 times 5?\nAnswer: -1654365455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 651 and 186.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = o - 2. Let z = 22983742\/21 - 1094698. Let l = -234 - z. Is o <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - p + 3)*(-7*p**2 + 10*p**2 + 4*p**2 - 4).\nAnswer: -7*p**3 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 3724*x - 507. Let t(n) = 3*n. Calculate t(b(g)).\nAnswer: 11172*g - 1521","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12425348?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17002 is divided by 8488?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 14380 and 1700.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1398866*n**3 + 1400043*n**3 + 3 + 2.\nAnswer: 1177*n**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -284 + 35*o**2 + 284 - 5*o**4 wrt o.\nAnswer: -120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2502 and 3505752.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87*n - 100*n - 936 = 0. Let y = 70\/41 + -2089\/287. Calculate the common denominator of y and ((-32)\/(-32))\/(n\/(-159)).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -998 + 995. Let c be (5 + -1)*5\/(-4). Sort 5, c, -1, s in decreasing order.\nAnswer: 5, -1, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30\/(-25))\/((-9)\/((-945)\/(-14)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**2 + 2*v + 3. Let a be (-2)\/(-6)*3 - -2. Determine s(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y**2\/9 + 14*y - 40 = 0. What is y?\nAnswer: 3, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 17\/4 of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 + 1*(-339)\/(-6). Let v = 55 - t. Suppose -4*b - 4 = -5*b. What is the closest to -1\/2 in 2, v, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ca when two letters picked without replacement from tfhtcctpatptttpht?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 3*f + 11. Let h be u(3). Suppose 0 = 4*m + h, -5*p - 25 = -10*p + 2*m. Suppose 4*r - 15 = p*r. Calculate the remainder when 55 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-18)\/45 - 22\/(-5). What is the first derivative of q - 2 + 1 - 2*b**3 wrt b?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 24*3*(-28)\/18. Let g = m + 115. Find f such that 3*f**2 + 20*f - 20*f**g + 8 - 13 + 2*f**2 = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -115\/12 and 67\/19940.\nAnswer: 59820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -35 + 75 - q - 40. Let d(v) = v - 25*v - 6*v. What is x(d(w))?\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -385*t = -391*t + 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 less than 40?\nAnswer: 40.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 32557078 to the nearest integer?\nAnswer: 5706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i = n + 3, 268541*n + 3 = 268540*n - 5*i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 2865 = -2*n. Suppose -9*f + n = 78. Calculate the remainder when f is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1234, 2466, 3698, 4930, 6162?\nAnswer: 7394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**3 + 6*m**2 + 16*m. Let y be p(8). Which is the nearest to y?  (a) 0.4  (b) -5\/6  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14875 by -17.\nAnswer: -875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 51 and 27.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 162 (base 7) to base 9\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*b + 275*n - 271*n = 0, 9 = 3*b + 3*n for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-1 + sqrt(252)) - 2*sqrt(252)*-1.\nAnswer: -4 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ooro when four letters picked without replacement from {o: 3, r: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 29*w**2 + 4*w + 2. Suppose 0*a - 5 = 5*a. Let d be c(a). Suppose 22*f - 55 = d*f. What is the closest to 0 in 2\/13, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -37, 51, 293, 767, 1551, 2723, 4361?\n\"Answer: 13*c**3 - c**2 - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes after 2:15 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let -16*r**5\/9 - 792*r**4 - 17636*r**3\/9 + 37166*r**2\/9 - 6790*r\/3 + 3544\/9 = 0. What is r?\nAnswer: -443, -4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w - 4*w = 4*z, 12818 = -4*z + 5*w + 12802 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**2 - 3*m + 1. Let k be p(2). Let t be (0 + k)\/(2\/(-48)). Let w = -16 + t. What is the highest common factor of 8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22\/(-8) + 4\/(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -1946*c - 76. What is the thousands digit of q(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3*1 + -119*(3559 + 4). What is t rounded to the nearest ten thousand?\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -13994, -27995, -42002, -56015, -70034, -84059, -98090?\n\"Answer: -3*a**2 - 13992*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i = -5*s - 79, -47*i = -5*s - 191 + 1435 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -510  (b) -3\/5  (c) 2\/13  (d) 0.02  (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**2\/3 + 456*o + 9870.\nAnswer: -2*(o - 705)*(o + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -14*m**2 + 539*m - 261. Give b(38).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = 2*i + 2*a + 11, 2*a = -i - 8. Suppose 346 = 10*k - 114. Solve -z = -5*w - k + 18, i*z + 3*w = -9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 - -9. What is the least common multiple of 11 and (5\/4)\/(s\/4)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -44371.79 and 13?\nAnswer: -576833.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (639987 - -16) + -3 + 0. Round s to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.04 - -0.04. Suppose 0 = -0*y - 2*y + 24. Let f = -10 + y. Which is the second smallest value?  (a) f  (b) 1\/7  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 2230, 4444, 6658?\n\"Answer: 2214*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1000100010010001011 (base 2) in base 13?\nAnswer: 9a3c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, -0.16, 6\/137, 4\/7, -19.\nAnswer: -19, -13, -0.16, 6\/137, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-25)\/(-69) - (-3)\/(-9). Let j = 88 - 86. Put -2, j, u in increasing order.\nAnswer: -2, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a. Let f(d) = -2. Let u = -2 + 1. Give u*f(b) - 2*r(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1797\/(-7787) + (-42)\/(-26).\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 10 = -v - 5*q, 2*q - 2 = 2*v. Which is smaller: v or -1\/33?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tss when three letters picked without replacement from {s: 3, q: 1, t: 1, k: 2, e: 1, y: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2 + 7\/3)*15. Suppose -p*q + 3*q + 5 = -w, -11 = q - 5*w. Suppose 5*c - q*c = 5*d - 3, -43 = -5*c - 4*d. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -12*q - 12 - 6*q - 11*q + 28*q - 9. Let b(f) = -1. Calculate -3*b(p) + i(p).\nAnswer: -p - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.2 and 684.\nAnswer: 683.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 81545 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 - b**2 + 9*b + 3. Let y be f(-6). Let s be (y\/15)\/(3\/15). Let d = -130\/3 + s. Sort d, 2\/5, -3 in descending order.\nAnswer: 2\/5, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -4*f - 1121. Suppose 3*t - f = -5*y, -3*y + 8*y - 1123 = -4*t. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 1. Let y(l) = l**2 + l + 2. Let f(n) = 3*o(n) - y(n). Let t be f(1). Let d(c) = -c. What is d(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -37 + 44. Let n(a) = 2*a + 20. Let q(i) = -3*i - 21. Let m(l) = 5*n(l) + 4*q(l). Calculate the least common multiple of m(c) and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express g**4 + 11*g - 4*g**2 - 2*g**4 - 13*g - g + g**4 + g + (-3*g + 0 + 0)*(-2 + 2 + 2*g**3) in the form r*g**3 + i*g**2 + m*g + h*g**4 + x and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5207 is divided by 2560.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-54)\/(-9))\/(-3*(12 + (-762)\/63))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes before 4:58 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/26, -4, 0, -0.4, -2\/7, -46\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1641413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1080\/7 + 154. Let g = -158 - -162. What is the closest to m in -0.1, -0.4, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1620 - -24298\/15. Sort 0.1, p, -110.\nAnswer: -110, p, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 318, 301, 282, 261, 238?\n\"Answer: -l**2 - 14*l + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is bda76 (base 16) in base 9?\nAnswer: 1413535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20 and 4660.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 79283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -20*i - 23. Let f(r) = 21*r + 24. Let n(v) = -6*f(v) - 7*m(v). Differentiate n(b) wrt b.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h. Let b(k) = -1 + 1 + 3 - 2. Let a(x) = -2*x - 3. Let y(g) = a(g) + 3*b(g). Calculate y(s(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 3*m + 5 + 6 = 0, -4*g + 3*m = 16. Let y = 1 + g. Suppose -2*h - h + 12 = y. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6177*y**3 + 3080*y**3 + 3082*y**3.\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 12) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, -4, 6, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -87968*h**2*u**2 + 2*h**2 - 2*h*u**3 - 37*h + 2382 wrt u.\nAnswer: -175936*h**2*u - 6*h*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 + -4482?\nAnswer: -4481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + (sqrt(605) - ((sqrt(605) + 0)*-6 + sqrt(605) - sqrt(605))) - (1 + (3*sqrt(160)\/sqrt(4))\/sqrt(8)))*-5)**2.\nAnswer: 684500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 7 + (-1 - 8) + 4 + -4 - 62\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 6*t**2 - 5*t + 7. Suppose -2*q + 3*i + 2*i = 2, -5*q - 40 = 5*i. Let u(z) = 2 + 7*z**2 - 11*z + 6 + 5*z. Calculate q*x(d) + 5*u(d).\nAnswer: -d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -114, 1, 25, 2, 7, 0.\nAnswer: -114, 0, 1, 2, 7, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 9337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 81930 and 82590.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -40 + 16 + 23. Suppose -2 = s - 11. Let j be (-14)\/(-6) + (-3)\/9. Let r(i) = i + 4. Calculate j*r(b) + s*h(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 237 - 138. Let s be (-12)\/30 + 122\/5. Let h = s - 13. Calculate the greatest common factor of h and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10591067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - -9)\/((-14)\/(-2))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that d**4\/7 - 73*d**3 - 15994777*d**2\/7 + 73*d + 2284968 = 0.\nAnswer: -3752, -1, 1, 4263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.042, -17, -5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -61114 and 0.03?\nAnswer: -1833.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes before 11:14 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 916135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - (-21 - (12 + -19)) - 51?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 117420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6\/(-63)*71294994 + 8\/(-14). What is z rounded to the nearest 100000?\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-14 - -61 - 35) + 14\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -2*p**3 - 8*p**2 + 5*p + 4. Let c be i(-8). What is the remainder when (-50)\/4*23\/((-805)\/c) is divided by 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 43319989 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 49\/11 or 3?\nAnswer: 49\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -2*d**3\/5 + 142*d**2 + 4530*d + 34650 = 0.\nAnswer: -15, 385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -21027*j + 21052*j + 64 - 31 in the form p + z*j and give z.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * 1.31.\nAnswer: -0.131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 + -98?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 2 x when three letters picked without replacement from {x: 7, e: 2, s: 2, g: 1}.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(80))\/sqrt(2))\/(sqrt(64)\/(sqrt(24)\/sqrt(3))).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 751 + -2?\nAnswer: 74e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 27\/(-72)*(-5471)\/(-3). Let n = s - -685. Which is the biggest value?  (a) n  (b) 0.2  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 209 + 1 = 905830*a - 905833*a for a.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 4*o - 3620. Is 2\/6 + o\/30 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -11, -36, -77, -134, -207, -296, -401?\n\"Answer: -8*r**2 - r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -89, -422, -1573, -4028, -8273, -14794?\nAnswer: -24077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(2450)*-1 + sqrt(2450) + sqrt(2450))\/(3*(sqrt(360) + sqrt(360) + (sqrt(360)*-2 - sqrt(360)) + sqrt(360) + sqrt(360))).\nAnswer: 7*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7\/15 + 1\/30. Let k = -0.4727 - 0.0273. Put y, k, 3 in descending order.\nAnswer: 3, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -10*u - 7. Let o be w(-6). Suppose -4*d - o = -c - 0*d, 0 = -3*c - 5*d + 159. List the prime factors of c.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -4*(-1)\/(-6)*-9. Let h be 3\/4 + g\/(-8). Suppose -r = -h*r. Are r and 0 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1426 and 372?\nAnswer: 8556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 m when two letters picked without replacement from {z: 1, w: 1, q: 1, m: 1, f: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 87*f + 2 - 1463*f)*(2*f + 5*f**3 - 2*f**3 - 3*f).\nAnswer: -4128*f**4 + 1376*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the first derivative of 77*b**3\/3 + 31*b**2\/2 + 40. Find the second derivative of w(i) wrt i.\nAnswer: 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the third derivative of 0*p + 1\/300*p**6 + 0*p**3 - 3*p**2 + 0 + 1\/60*p**4 - 1\/75*p**5. Factor w(j).\nAnswer: 2*j*(j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 79. Suppose 5*p - u = p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 16.5 + 107.5. Let n = t - 130. What is the closest to n in 2, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 7*m**2 - 3*m + m**3 - 3 + 2*m + 6*m. What is the units digit of u(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 2*w**2 - 1. Let l be p(1). Sort l, -3, 17 in descending order.\nAnswer: 17, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/162 and 149\/126?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -12 - 2*w**2 + 7*w**2 + 11 as z*w**2 + r + v*w and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 62763\/220 + -1141\/4. Which is the third smallest value?  (a) u  (b) -0.2  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 118.526438, -1\/3, 3, 0.4 in descending order.\nAnswer: 118.526438, 3, 0.4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 3*w**2 + 41*w + 197. What is the least common multiple of a(-11) and 8?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18 and 20535162.\nAnswer: 61605486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -2*y + 2. Let n be (-253)\/22 + 1\/(-2). Let b = -15 - n. Determine q(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 3*s**2 + 176*s - 208609. What is q(236)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w - 20 = -5*w. Suppose -148 = -2*s - 3*k, 0 = s + w*k - 0*k - 64. What is the highest common divisor of s and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**2\/2 + 12*v + 63\/2.\nAnswer: (v + 3)*(v + 21)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 867 + -414. Let k = -452.366 + b. What is k rounded to 2 dps?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 AM and 4:42 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(133)*-2)\/sqrt(7).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 660 and 420?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Are 145 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/97 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/7?  (a) -9\/4  (b) -0.0581  (c) 5\/62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 81.04979ns?\nAnswer: 0.00008104979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-306)\/99 + (-4)\/(-1). Which is greater: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 796*l**3*r**2 - 1111*l**3*r - l**3 wrt r.\nAnswer: 1592*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11627206.\nAnswer: 2, 5813603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -55111*h**5*z**2 - 20*h*z**2 + 2*h*z - 20*z**2 wrt h.\nAnswer: -1102220*h**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 346 divided by 173.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 36725677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -0 - 3. Let d be (4 + -4)*h*1. Suppose 2*j - 7*j + 143 = 4*r, d = 4*r - j - 149. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 181.3  (b) -0.71  (c) -0.5  (d) -2  (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 3*s = -8, -4*h - 2*s + 8 = 0. Solve 6 = h*i - 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4600\/160)\/((-25)\/(-840)*14)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1676004 and 836?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z - 1298 = -241. Let n = 158 + z. What is the remainder when 19 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10256*j**2 + j + 2768*j**2 - 13074*j**2.\nAnswer: -50*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -x**2 - 29*x**3 - 1800*x + 1795*x - x**2.\nAnswer: -29*x**3 - 2*x**2 - 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - (3 + 0 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -235*v**3 - 453*v**2 - 198*v + 95. Let h(w) = 705*w**3 + 1360*w**2 + 595*w - 310. Let s(d) = 3*h(d) + 10*k(d). Factor s(q).\nAnswer: -5*(q + 1)**2*(47*q - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5*36\/45)\/(-30)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*3*(-4*-2*sqrt(76))\/(-6*sqrt(20)\/sqrt(5)))**2.\nAnswer: 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.22 + 0.69. Let l = 0.4956 + -0.1256. Let c = l - x. What is the closest to -1\/3 in -1\/4, -0.4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2*3 + (-8 - 6\/(-1)). Let t be (-46)\/(-6)*3 + o. Suppose -6*a + t = -3. Solve a*c = c - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -245*j**2 + 12*j + 6. Let m(f) = 4900*f**2 - 238*f - 119. Determine -6*m(u) - 119*z(u).\nAnswer: -245*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 338377328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**2 + 208*l - 428. Let r(y) = 12*y**2 - 2703*y + 5562. Let u(o) = 51*h(o) + 4*r(o). Factor u(i).\nAnswer: -3*(i - 2)*(i + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 2*d + 12 = 0, -2*s - 5*d = -d + 16. Suppose 2*y - 9 = -y. Suppose 5*o - 2*q = 25, y*o - 4*q = 18 + 11. Is s bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes before 8:47 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -10\/212289 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-315)\/1890)\/(7\/6)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 5*n**2 - 7*n + 8. Let y(q) = -6*q**2 + 8*q - 9. Determine -7*w(p) - 6*y(p).\nAnswer: p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 95583583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1145, -4753, -14541, -33599, -65017, -111885?\nAnswer: -177293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 139734 is divided by 109?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -524 + 34?\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 20\/11 + (-6)\/(-33). Calculate the common denominator of 33\/4 and r*(-295)\/100 + 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -11*t - 464720. Let g = t + 128472. Round g to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -6533244, -13066494, -19599744?\n\"Answer: -6533250*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 2*q**2 - 10*q + 4. Let k be z(7). Let s = k - 30. Solve -2*h + s = -4*j, 2*h - j + 12 = -4*j for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*v + 22 - 152 = 0. Solve -3*d = -3*l - 15, v*l + 9 = 12*l + 3*d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10635623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 22215471*l**5 + 2*l**2 + 434*l - 12875?\nAnswer: 1332928260*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y + 3 - 3)*(-3*y + 3*y + y) + (-38 - 35 + 49)*(3*y**2 - 2*y**2 - 2*y**2) - 2*y**2 - 5 - 4 + y + 7.\nAnswer: 23*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 212010210002210 (base 3) to base 10.\nAnswer: 12297576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 173  (b) -0.5  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*y**2 - 13968*y + 9889740.\nAnswer: 4*(y - 2505)*(y - 987)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5469\/20 - -1466\/5. What is the common denominator of 51\/8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 (base 12) in base 11?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y**3\/2 + 1069*y**2\/2 + 4300*y + 8616 = 0. What is y?\nAnswer: -4, 1077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**2 - 4*q + 4. Let x be d(4). Let l be 6\/3*(-5)\/(-15). Factor l - 2*j + 4\/3*j**2 - 2*j**x + 2\/3*j**5 + 4\/3*j**3.\nAnswer: 2*(j - 1)**4*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125*h + 69*h = -112. Let z(c) = c. Let w(x) = -x + 2. What is h*z(q) + w(q)?\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -109\/188058078 and 137\/6?\nAnswer: 188058078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -191 - 2948*b**3 + 5903*b**3 - 102 + 2*b**2 - 2953*b**3 + 2*b as f*b**2 + h + u*b + a*b**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**2 + g + 4. Let p be f(0). Suppose 4*t - 3*c = 8, -t + p*t + c = 19. Suppose 8*b - t*b = 192. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.12 + 1.806302147.\nAnswer: 1.926302147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 34 = 26. Suppose -2*x + n*t + 0 = -2, -4*x + 18 = -t. Solve 3*d - 14 = -5*q - x, 0 = -q - 5*d - 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1860453 to the power of 1\/2, to the nearest integer?\nAnswer: 1364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g + 3 + 87. What is the tens digit of (2 - (-10)\/(-4))*g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5651, -5653, -5655, -5657, -5659?\nAnswer: -5661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 5*t**2 + 3*t + 16. Is 13 a factor of w(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63*r + 16 + 63*r - 113*r.\nAnswer: 13*r + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = q - 0. Let a(l) = l**2 + 2*l - 9. Let v(f) = 2*f**2 + 6*f - 4. Let t be v(-3). Let b be a(t). Sort -4, q, 5, b in increasing order.\nAnswer: q, -4, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -83762*0.6\nAnswer: -50257.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42*d**3 - 18*d**3 + 69*d**3.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3.5 + -3.69. Let n = 2.91 - a. Round n to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 346076 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 75*m**3 + 14360*m**2 + 6645*m - 7640.\nAnswer: 5*(m + 1)*(m + 191)*(15*m - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 5  (b) -0.4  (c) -1  (d) 1437\/4  (e) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9 + 63. Suppose -f = 5*d - 294. Suppose 3*k = 2*m - d, m - k + 0*k = 23. Calculate the remainder when 62 is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00265963755 rounded to 5 dps?\nAnswer: -0.00266","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-8)\/(-12))\/((-4)\/(-774)). Suppose -i = v - 4*v - 5*r, -4*v + r = -195. What is the highest common divisor of v and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence obd when three letters picked without replacement from oooosdbcosbocdb?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -7*t + 2. Suppose o + o + 4*j + 12 = 0, -3*o - 14 = 2*j. Let f(k) = -6*k + 2. What is o*m(q) + 5*f(q)?\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13 or -162100?\nAnswer: -162100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -4*y - 3. Let o be x(-6). Suppose -4*m = -o - 71. What are the prime factors of m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -5, -49, 745, 83.\nAnswer: -49, -5, -4, 83, 745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73 is divided by (4 - 12 - -4)*259\/(-28)*1?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26963b (base 16) in base 11?\nAnswer: -1477a44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-38)\/(-114)*(-9)\/(-5)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 20\/19 or 170?\nAnswer: 20\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1550 is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4 - (-14 + (-6)\/(-3)). Let l = -13 + r. Solve -3*j + 4*j - a = 0, l*j = a + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18759.\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, p: 4}. Give prob of picking 1 p and 2 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 236 + -166. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -52 - -47. Let l be ((-6)\/(-16))\/3*3. Put l, 0, b in descending order.\nAnswer: l, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c**5\/5 - 344*c**4 + 10272*c**3\/5 - 20516*c**2\/5 + 17086*c\/5 - 5124\/5 = 0. What is c?\nAnswer: 1, 3, 854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5\/21  (b) 3\/8  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53629488?\nAnswer: 2, 3, 11, 33857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -123.2 - -123. Put -5, t, -1, 3\/8 in decreasing order.\nAnswer: 3\/8, t, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ckkk when four letters picked without replacement from {k: 13, c: 2, v: 3, f: 2}.\nAnswer: 143\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 61002562 and 18?\nAnswer: 61002544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 64020 divided by -132?\nAnswer: -485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 10 = -2. Let u = 4 + y. What are the prime factors of (u + 0)\/((-2)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6\/9 - (-124)\/3. Suppose o + 2*j = q, 73 = -5*o - 2*j + 259. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -i + 8. Let q be (-2)\/(-6) - 42\/(-9). Let g(h) = -3*h**2 - 2 + h**2 - q*h + 5*h. Let f(w) = -4*w**2 - 3. What is i*f(r) + 7*g(r)?\nAnswer: 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (24 - 2)\/(2\/4). Let t = w - 39. What is the least common multiple of 2 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*v - 22320000 = -8*v. Round v to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 v when two letters picked without replacement from {t: 4, v: 3, q: 1, x: 2, b: 7}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 37*y + 4. Let f(j) = 0 - 2 + 2*j + 3 + 10*j. Let l(p) = -2*p**2 + 4*p + 128. Let d be l(-7). Give d*x(a) - 7*f(a).\nAnswer: -10*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 48 = -8*g. Suppose 5*w - 15 = -n + 19, -g = -w - n. Let m(f) = -f**2 - 9*f - 8. Calculate the remainder when m(-6) is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the first derivative of f**6\/72 + 5*f**5\/24 + 5*f**4\/6 - f**3 + 12. Let h(k) be the third derivative of x(k). Factor h(m).\nAnswer: 5*(m + 1)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8286671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Do -64 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:45 PM and 7:29 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -11  (b) 0.28  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.995 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 531768.5km to micrometers.\nAnswer: 531768500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0461 and -14.7?\nAnswer: -0.67767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 - (-4 - (-3 + -6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4.14, 0.19, -4, -9, 0.4 in ascending order.\nAnswer: -9, -4, 0.19, 0.4, 4.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3794400?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3494 is divided by 234.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4381.196ml to litres.\nAnswer: 4.381196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the third derivative of u**6\/120 - u**5\/15 - u**4\/8 - 25*u**2. Let s be f(5). Let d = s + -8. What is d rounded to one dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 25646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 115 divide 1713751811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 37*c - 81*c - 528 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 328 + -351 + 0 + 1.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -596720 or -13724526\/23?\nAnswer: -596720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*m + 2958 = -21*m. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l + 13. Suppose -2*j + y - 14 = 2, 3*y - 36 = 4*j. What is the units digit of p(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 4, -2\/19, -6, 2\/15, -7, 2 in ascending order.\nAnswer: -7, -6, -3, -2\/19, 2\/15, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -35806 + 35819. Let u(w) be the first derivative of g - 1\/2*w**2 + 44*w. Find the first derivative of u(v) wrt v.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 22.1577256 + 0.243.\nAnswer: 22.4007256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -2336 divided by 146\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14610 - 14607. Sort f, 14, 0, -6.\nAnswer: -6, 0, f, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2052 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0.38 * 3319\nAnswer: 1261.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 18.63 rounded to one dp?\nAnswer: 18.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -3 + 18*w - 4 - 22 + 47 - 1. Let r(y) = y + 1. What is 6*i(m) - 102*r(m)?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + y = 93, 0 = -3*g - 7*y + 2*y + 105. Suppose -g*i = -35*i + 880. Calculate the highest common divisor of 16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-118*b**3 - 32*b**3 - b**3)*(-9 - 5*b + 9).\nAnswer: 755*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3134, 3131, 3126, 3119, 3110, 3099, 3086?\nAnswer: 3071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -26*o + 2. Suppose j - 1 = 0, 3*z + 4 = 2*z + 3*j. List the prime factors of k(z).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9399.325kg in tonnes?\nAnswer: 9.399325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 435239 and 641?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.5 from 65173034518100.\nAnswer: 65173034518100.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o**2 + 3*o**2 - 2*o**2)*(2*o**2 + 2*o**2 - 2*o**2 + (7*o + 4 - 4)*(-2 - 2*o + 2)).\nAnswer: -24*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 286?  (a) -86\/91  (b) -8  (c) -2\/5  (d) 3  (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 2 = -o + 3*o, -2 = -2*z. Solve -o*r = -6 - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 17151 or -2?\nAnswer: 17151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 287995.\nAnswer: 5, 239, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3286105m to centimeters.\nAnswer: 32.86105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 41 = -3*t, -3*j = -8*j - 2*t + 108. Calculate the remainder when j is divided by (-20)\/(-3) - 12\/18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-15)\/2 + 1 + 1. Let f be ((-341)\/868)\/((-2)\/1304). Let u = f - 256. Which is the third smallest value?  (a) -5  (b) u  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.4 + -0.4. Let k = m + -4. Let z = k - -4.00000002. Round z to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 + 0\/3)*14. Let i(f) = f. Let h(c) = -3*c. What is o*i(j) - 6*h(j)?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14 - 3*i - 3 - 9 - 4*i - 61 to r + c*i and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3800 and 303600.\nAnswer: 5768400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104*o**3 + 38*o**3 - o + o.\nAnswer: 142*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 14030562 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4\/3?  (a) -0.8  (b) -2  (c) -81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(500) + (sqrt(500) - (sqrt(500) + 0 + sqrt(500))) + sqrt(500) + sqrt(35)\/sqrt(7)*-1)**2.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -42.223 + 0.223. Let x = i + 43.1. Are 11 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.27 + -0.27128. What is m rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 85, 79, 77, 85, 109, 155, 229, 337?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19678425.\nAnswer: 3, 5, 13, 20183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -75, 4, -2 in ascending order.\nAnswer: -75, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -65, -68, -79, -104, -149?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 9*b**3 + b - 1. Let k be s(1). Let o = k - 8. Suppose 2*n - 3 = 4*y - o, -3*y = n - 1. Is 1 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, -0.5, 13, -0.2, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/79 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4422140*p + 8844211*p - 4422060*p.\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 0.1, -0.6, 7, 1\/8, -5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*r = 42*r, -2*k = -2*r - 98378. What is the thousands digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2*(-3)\/24)\/(-34*(-12)\/(-192)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 30, 66, 106, 150, 198, 250, 306?\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 2*q**3 - 14*q**2 - 1089*q + 4456. Determine i(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes before 8:49 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 56362053 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-6\/13)\/(f*f**(-4\/11)*f) assuming f is positive.\nAnswer: f**(-300\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1242941*p**4 - 4560*p**2 + 134*p wrt p?\nAnswer: 29830584*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*d + 7*d = -40. Let x(m) = 993*m + 47. Is x(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (16 - 12)\/(2\/1). Suppose -p*f = 2*c + 3*c + 133, -f - 134 = 5*c. Let g = c + 29. Solve -g*l - 5 = 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.12, -5.4, 2\/5, 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 4*k**2 + 13. Suppose -3*q = -y - 0*q, -3*y - 5 = -4*q. What are the prime factors of b(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -4*g + 1. Let r(a) = -20*a + 4. Determine 11*d(p) - 2*r(p).\nAnswer: -4*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = 2*k - 14, -4*k + 3*k - 5 = -2*x. Suppose 2*z = -s - 4*s + 31, -s = k*z - 14. Let n = 1 + 1. Solve 5 - 15 = 2*w - 4*a, -n*w = z*a + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2681.1 + 2682. Which is the nearest to -0.7?  (a) 2\/9  (b) 0.5  (c) 1  (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m**5 + 471770*m**4 + 11395109525*m**3 + 12508722437760*m**2 = 0 for m.\nAnswer: -46601, -1152, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -258*q + 2880 = -43302. What is the remainder when 567 is divided by q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1251555?\nAnswer: 3, 5, 83437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 384801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1256341 to the power of 1\/2, to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -4*s + 3*b, -5*s - 3*b + 8*b = -20. Let g(d) = 15 - 11 + s*d - 5*d. Let z be g(-2). What is the greatest common divisor of 10 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j - 14 = -0*z - z, 2*j = 2*z + 12 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-30426)\/561 + 18 - 120\/(-510)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m + 208 = -x + 225, 4*x - 17 - 100 + 13 = 14*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -160 - -145 - (-4)\/(36\/(-567)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1933 divided by 2917?\nAnswer: -1933\/2917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -10 - 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h - 33. Let g(l) be the second derivative of -l**3\/6 + 16*l**2 + 29*l + 16. Determine -5*g(n) - 4*x(n).\nAnswer: n - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*852.\nAnswer: -4260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 9060.536nm in kilometers?\nAnswer: 0.000000009060536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.83665 and 3?\nAnswer: -2.50995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 18*r. Let g(a) = -79766*a. What is s(g(b))?\nAnswer: -1435788*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 32 - 5. Suppose -3*o = -4*o - 16. Let x = o + n. Calculate the lowest common multiple of x and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the first derivative of -v**6\/165 + v**5\/110 + v**4\/66 - v**3\/33 + 8*v + 1. Let i(u) be the first derivative of k(u). Determine j so that i(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 594599.\nAnswer: 107, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g + 11 = 2*p - 15, -4*g + 11*p + 46 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.38 - 0.88. Let a = 4.2 + -4.5. What is the smallest value in w, -3, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 85220 is divided by 625?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47 = -3*u + 1. Calculate the least common multiple of u and 26.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21*((-29)\/39 + (-30)\/(-390))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**3 + 4*f**2 + f - 3. Determine q(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**3 + 8*b**2 + 13*b + 13. Calculate the remainder when 12 is divided by m(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i - 4*c - 213 + 245 = 0, i - c = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (48 - -50*65230\/(-67375))\/(2\/(-7))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12745 + -12737. Let w(y) = y**2 + 9*y - 136. Calculate w(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-376)\/(-91) - (-156)\/(-546)) + -4.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 680686 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 47\/(-752) + 531\/48.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v*v*v**4)**2 assuming v is positive.\nAnswer: v**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 + -12. Let n be (h\/(-1))\/(3 + -1). Suppose -n*k = 2*i - 0*i - 12, 0 = 3*i + 2*k - 14. What is the biggest value in i, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -17530 or -17520?\nAnswer: -17530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2 and 1478?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 21321 - 10123?\nAnswer: 11132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i - 3*i = 33. Let j = 18 - i. Is j greater than or equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 413 - 71 = 0. Calculate the highest common divisor of 38 and o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 1 t, 1 f, and 1 u when four letters picked without replacement from {t: 2, z: 1, f: 1, u: 2, q: 12}.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1936 is divided by 35?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 2*u - 94. Let r(p) = -2*p - 8920. Determine r(f(z)).\nAnswer: -4*z - 8732","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 42*n = 26*n + 1292. Let i(r) = -r**3 - r + 114. Let z be i(0). Calculate the highest common factor of n and z.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12 - 29. Let j = l - -35. Let w = j + -19. What is the third biggest value in 3, w, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1174.778 - 1953.\nAnswer: -3127.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**12*t*t**(1\/3)*t*t assuming t is positive.\nAnswer: t**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 4326, 4328, 4330, 4332, 4334?\n\"Answer: 2*w + 4324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2 - (-1 + -2) - (2 - 2). Suppose -5*i + 26 = -9. Solve -4*d + 3*t = -i, -35 = o*d + 6*t - t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, h: 1, o: 2, g: 1, i: 2, b: 1}. Give prob of sequence od.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.8 times -93?\nAnswer: 167.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**3 - 22*q**2 + 21*q + 22. Calculate the remainder when a(-23) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 29*j + 468*c - 471*c - 4 - 17, 0 = 4*j + 3*c + 21 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2443 = 18*i - 13. Let s = 155 + i. What is the least common multiple of s and 50?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48268 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 72 + 20 - 16*p**4 + 14*p**4 + (3*p**3 - 4*p + 4*p)*(-4*p + 3*p - p).\nAnswer: -8*p**4 + 92","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5046, 10100, 15154?\nAnswer: 20208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:58 AM and 6:36 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3290.325mm in meters?\nAnswer: 3.290325","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 757586?\nAnswer: 2, 378793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2 - 2)*(-8*a**3 + 5*a + 10*a**3 - 3*a - 2*a**2) as h*a**2 + c*a**3 + w + m*a and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7556, 7566, 7590, 7634, 7704?\nAnswer: 7806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3\/9 + 10\/6 + 0. Suppose b*w - 8 = -4. Solve o = w*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 352046*s**2. Let j(y) = -2*y. Calculate t(j(g)).\nAnswer: 1408184*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d - 18 = 4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1911\/378*(-108)\/468?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 23*a + 12*a - 3.\nAnswer: 35*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes before 4:44 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-2)*a\/a**(-2\/45))\/(a**(2\/11)\/a)**(-3\/22) assuming a is positive.\nAnswer: a**(-11621\/10890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 217 + 10a?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 21495 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**2 + 3*z + 2. Suppose 3*n = 2*n. Let t be r(n). Let b(a) = 4*a + 3. Let q(k) = -9*k - 6. Determine t*q(w) + 5*b(w).\nAnswer: 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1647, 1660, 1675, 1692?\nAnswer: 1711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qaqa when four letters picked without replacement from qqaqaqaaaqaqaqqq?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/175*(-3)\/15*-24*100\/(-240)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7683 - -118. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 17.987835 months?\nAnswer: 0.0149898625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1308*q - 815*q - 15153 - 22808 = 0 for q.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 2*c**2 - 7*c - 9. Let j be (-6*(-2)\/(-4) + 8)*-1. Calculate the remainder when h(j) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 10 and 5.543.\nAnswer: 15.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the third derivative of 0*w**3 + w**2 + 0 + 5\/24*w**4 + 0*w. Give o(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5921652?\nAnswer: 2, 3, 11, 113, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 3*z**3 + 5. Let r be 57\/(-171) - (-10)\/3. Let a(h) = 3723*h**2 - 3723*h**2 - 4 + 1 - r*h**3 - 1. Give 4*a(w) + 3*p(w).\nAnswer: -3*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3724404 and 459.\nAnswer: 569833812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(1152) - -2*sqrt(1152)*2))\/((sqrt(484) + -1*sqrt(484) - sqrt(484))*-5*-6).\nAnswer: 6*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -14 and -823.74?\nAnswer: 11532.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 38 + -19. Suppose r - 53 = -2*j. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 48957, 195685, 440225, 782583, 1222765?\nAnswer: 1760777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 806444901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o**3\/5 + 964*o**2\/5 + 10192*o\/5 + 3312 = 0 for o.\nAnswer: -230, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19552?\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 25.03549964 rounded to 2 dps?\nAnswer: 25.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in f - 7*f - f + 4*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6.516782 and -0.03.\nAnswer: 0.19550346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 98519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -4469*r**2. Let b(g) = -4*g. Calculate b(t(y)).\nAnswer: 17876*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2265034?\nAnswer: 2, 181, 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 64257750 divided by 7139750\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3666, -3711, -3830, -4059, -4434, -4991, -5766?\nAnswer: -6795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 6*o**2 + 766*o - 3422. Calculate a(-132).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 166026817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2084108275 to the nearest integer?\nAnswer: 45652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1333990 is divided by 469?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 3*x = -n, -5*x - n = 7. Which is greater: -1\/60 or x?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 646.000000358 + -646. Round h to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 126*o = 137*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 37834.71 litres to millilitres.\nAnswer: 37834710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 213131768?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 17368 = -0*m. Suppose 5*j - 2153 = -o, -4*o + 2*j + m = -2*o. Suppose o = -4*l + 12*l. What are the prime factors of l?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.153 - -2.953. What is the closest to -1\/2 in w, 1\/11, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*g + 22*g - 13781 = -h, 0 = -4*h - 16. Calculate the remainder when g is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 426191453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - o = -309, 316*o - 313*o = d + 127. Sort 4, 0, d in decreasing order.\nAnswer: 4, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1261820408 a multiple of 1429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 92?  (a) 1\/4  (b) -0.4  (c) -1732  (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 19*u + 30*u - 13*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5702 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51643 is divided by 217?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*y**2 - 1172830*y + 5864025.\nAnswer: 5*(y - 234561)*(y - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1509502, 1509512, 1509522, 1509532, 1509542, 1509552?\n\"Answer: 10*k + 1509492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 5*n + 225, -2*n + j - 90 = -0*j. Let r be (-15)\/n - 52\/(-6). Let -r*y**3 - 40*y + 16 + 36*y**2 + 2*y**4 - 5*y**3 + 0*y**3 = 0. Calculate y.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1, -16, -35, -52, -61?\n\"Answer: m**3 - 8*m**2 + 2*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:37 AM and 2:39 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3\/(-6))\/(5\/(-10)). Let j = -62 + 94. Let b be 120\/j - m\/(-4). Solve b - 1 = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-274)\/411)\/((-20)\/(-6)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -14993185000 rounded to the nearest 1000000?\nAnswer: -14993000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 2147498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:09 AM and 12:46 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-303)\/(-606))\/(243\/(-36)*2\/(-3))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (((-4)\/3)\/(-2))\/((-12)\/(-126)). Let y = 10 - o. Find the second derivative of 2*g**3 - 4*g + 4*g**3 - g**y + 2*g wrt g.\nAnswer: 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -772, -3062, -6870, -12190, -19016, -27342, -37162?\nAnswer: -48470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, -2, 2\/28421, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a**2 + 58*a**3 + a**2 + a**2.\nAnswer: 58*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 101, 1, 20 in descending order.\nAnswer: 101, 20, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 (base 10) in base 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 35577 and 4020?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes after 2:59 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**2\/3 + 82*b\/3 + 1681\/3.\nAnswer: (b + 41)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/39 - 0) + ((-5910060)\/22054500 - (-18)\/(-87)).\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1359616?\nAnswer: 2, 47, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 537 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 90, 87, 72, 39, -18, -105, -228?\n\"Answer: -w**3 + 4*w + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*b**3 + 3*b**4 + 0*b**3 + 8683 - b**2 - 8765 + (b**3 - b**3 + b**3)*(-b + 4 - 4).\nAnswer: 2*b**4 + 2*b**3 - b**2 - 82","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.4  (b) -14  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -168 divided by 2\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1949 times 1?\nAnswer: -1949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 - -1100101110001101011?\nAnswer: 1100101110001101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 5*l + 11. What is the nearest to 2\/5 in 1, -0.3, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 19, 6, 1, 2 in decreasing order.\nAnswer: 19, 6, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4053 - -13?\nAnswer: -4040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 459 - 480 = 3*f, -3*x = -3*f - 21. Let s(q) = 9*q + 69. Give s(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g = -3*r + 21, 0 = 12*r - 8*r - 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64 = -3*c - 265. Let n = c + 97. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 divided by -82?\nAnswer: -194\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 17*c**2 - c - 2 - 5 - 16*c**2. Let q be s(-5). Let r = 118 - q. List the prime factors of r.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4262 divided by -25?\nAnswer: 4262\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 1243 = 3*t - n, -5*n + 833 = 2*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -db24 (base 16) to base 6\nAnswer: -1111420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (410 - 424) + 2 + -2 + 1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 39893.39m in centimeters?\nAnswer: 3989339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.07  (b) 4  (c) -1  (d) 13  (e) -3\/25  (f) 1  (g) 2\/31\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 2) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:09 PM and 6:46 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -11212 and -0.2?\nAnswer: 11211.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -2*t**2 - 2*t + 2. Let d(j) = -j**2 + j - 1. Let o(q) = -2*d(q) - l(q). Let f(z) = 9*z. Calculate f(o(y)).\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -5525*v + 12875*v + 7688*v as k + y*v and give y.\nAnswer: 15038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -220 - -1?\nAnswer: -21f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1*((0 - (3 - 4)) + 0). What is the hundreds digit of ((-18)\/6)\/(d\/(-92))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -60, -64, -68, -72?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -169 divided by -6.\nAnswer: 169\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2\/(-3))\/((-5)\/(-3)). Let i = -144.06 - -3.06. Let z = i - -142. Which is the third smallest value?  (a) z  (b) -3\/10  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15*p**2 - 288*p**2 - 112*p**2)*(-26*p + 6*p - 19*p).\nAnswer: 15015*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-88)\/33)\/(2\/9) + -21 + 29.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 8 = 3*s. Suppose -3*f + 35 - 3 = -5*m, -f = -s*m - 20. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - 3*u = u - 30, 37 = 14*t - u + 19 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 50070  (b) 1086  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -63*f**4 + 9190 + 61*f**4 + 2*f - 7*f**3 - 9192 to the form h*f**4 + t*f**2 + d*f**3 + w*f + j and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2846 + -2835. Let i(g) = 24*g**3 + 17*g**2 - 11*g - 11. Let t(u) = 12*u**3 + 9*u**2 - 6*u - 6. Calculate c*t(h) - 6*i(h).\nAnswer: -12*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = -2*n - 2*a + 35, n = 2*a + 25. Suppose 3*t = b - 30, 4 = b + 2*t - 1. List the prime factors of b*-1*(-18)\/n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 - 5)*(-18)\/5. Suppose 8 + x = 2*u. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 + -2.96. Let n = -1204.2 + 1204.2. What is the nearest to n in w, 0.3, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 (base 15) in base 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (7\/((-35)\/40)*-2)\/(76\/(-152))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 4*f + 2*m, -6*f + 4*m = -2*f + 12. Let t(y) = -4 + 2 + 0 - f*y. Let d(p) = -p**3 - 10*p**2 - 11*p - 12. Let h be d(-9). Determine t(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10 + -7. Let l = k + -6. Which is bigger: l or -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -678, -0.2, -1\/4.\nAnswer: -678, -5, -1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = p + 6, 4*p + 12 + 12 = 5*g. Which is the nearest to g?  (a) 4  (b) -2  (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 2164241, 2164243, 2164245, 2164247, 2164249?\n\"Answer: 2*t + 2164239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3577 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: Calculate ((-36)\/20)\/((4\/12)\/((-35)\/21)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 * 6.91317.\nAnswer: -3.456585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.06969 + 0.36969. What is the smallest value in -1\/4, 8\/51, q, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2819252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0\/2)\/((23 - 22)*(-6 - -4)). Let g(j) be the second derivative of j**3\/6 - 5*j**2\/2 - 2*j. Let s be g(0). Put -2, s, z in increasing order.\nAnswer: s, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kukuk. Give prob of sequence ku.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the third derivative of h**7\/315 + h**6\/60 - h**5\/90 - h**4\/12 + 7*h**2. Solve u(l) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1135997\/444296 - -224\/1501. Let f = u + -40\/37. Find the common denominator of f and (3\/28)\/((-4)\/(-203)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.8 + -5. Let i = -1 - w. What is the nearest to 1 in -0.5, -0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 26 - 21\/(10374\/12730)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 2, j: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4043533 (base 6) to base 10.\nAnswer: -192657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s - 1. Let z(k) = -k - 1. Let o(h) = p(h) + 4*z(h). Let f(x) = x + 2. Let y(a) = -11*f(a) - 4*o(a). Let v(g) = 1. What is v(t) + y(t)?\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -115*p + 55 = -110*p. Suppose -p*f + 6370 = -f. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(10\/(-4)*2\/4)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 61 - 14?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 132 and 4224.\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 11*n**2 - 15*n - 6. Let g be w(4). Calculate the highest common divisor of g and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1114250 divided by -1114250\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.3  (b) 0.0522  (c) -0.3  (d) -1  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j + 132 = 867. Calculate the lowest common multiple of 15 and j.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7\/(-273))\/((-6)\/26).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -3*d**2 - 24*d - 97. What is c(-10)?\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/2?  (a) 18\/7  (b) -0.2  (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:09 AM and 3:18 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 1938139 = 3*u, -5*u + 3571610 - 1148930 = 5*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5.332 - 0.032. Round r to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7*(-17)\/(-2)*(-30)\/(-105)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 116700 to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 13487 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32675.02l to millilitres.\nAnswer: 32675020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 56992203875 + 31\nAnswer: 56992203906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 33*z - 262. Let f(b) = -76*b + 524. Calculate -4*f(v) - 9*n(v).\nAnswer: 7*v + 262","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1770*k + 9865 + 18455 = 0 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13\/18 - 5\/9. Let r(w) be the first derivative of 2 - a*w**4 + 0*w**2 + 1\/9*w**3 + 0*w. Determine i so that r(i) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttmitmjtjtmtfmji. Give prob of picking 1 m, 2 i, and 1 f.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the second derivative of 2 - 5\/42*t**7 + 0*t**3 - 36*t**5 + 0*t**2 + 0*t**4 + 61*t + 4*t**6. Factor r(l).\nAnswer: -5*l**3*(l - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*v**3 + 22405*v**2 - 5510*v - 100800 = 0.\nAnswer: -2, 9\/4, 1120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -86*j**3 + 2*j**2 + 4*j + 1. Calculate c(-1).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z**3\/11 - 156685688*z**2\/11 + 3068800603004168*z\/11 = 0. Calculate z.\nAnswer: 0, 39171422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aax when three letters picked without replacement from tixtvaiititvtaiatavp.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -200817.4 and -0.3?\nAnswer: 60245.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 85\/4 of a meter in centimeters?\nAnswer: 2125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 551 + -555 - (1 + -2 + 19).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**3 - 21*j**2 + 24*j - 40. Give y(-22).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -206900 to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12335525 + -17503525. What is k rounded to the nearest 100000?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the first derivative of 3*z**2\/2 - 3*z + 8. Give m(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**0\/x)**(-9\/2)\/(x\/(x*x\/((x*x*x*x\/(x\/(x\/x**(-3\/2)*x)))\/x*x)))**(-41) assuming x is positive.\nAnswer: x**230","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -14 - -246. Let x = t + -141. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (-8 - -22) + 0 + 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - s - 6*o + 4 = 64, 2*o = -16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 78635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, -27, -932, 5, -4 in increasing order.\nAnswer: -932, -27, -13, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -38, -140, -298, -500, -734, -988, -1250, -1508?\nAnswer: -1750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 68681 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 22920 to the power of 1\/2, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(1\/12)*d*d*d**9)\/(d**(1\/4)*d)**(1\/38))**(-7\/4) assuming d is positive.\nAnswer: d**(-35273\/1824)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*q - 15*q = -11. Let u(l) = l**3 - 11*l**2. Let d be u(q). Suppose d = 4*m - 12, -2*p - 3*p - 2*m = -36. Solve -25 = o - p*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 512551 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: What is 20211201221001 (base 3) in base 16?\nAnswer: 377be7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -639*v**5*w**3 + 60*v**5*w + 9*v*w**3 - v*w**2 + v*w + 18*w**3 + 4*w**2 wrt v.\nAnswer: -12780*v**3*w**3 + 1200*v**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 6*f - 60. Let n = -12 + f. Suppose 5*t - 5 + 0 = 0. Put t, n, -5 in descending order.\nAnswer: n, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is b + -109?\nAnswer: -dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -160*m + 165*m - 15. Suppose 2*y = -m*y + 1585. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*t**2 - 6*t**2 + 58*t**2 + (3*t - 3*t - 3*t**2)*(-3 + 4 - 3).\nAnswer: 55*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 56 in 4, 2, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 231 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -21 - ((64 - 67) + 66)\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.009 in -2, -0.2, -61?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 4*k + 5*a, -1 = k - 5*a + 8*a. Let h(p) = 3*p + 4. Give h(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 405 is divided by 107.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.7135 rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -180496429.399387 + 180496513. Let l = 83.6 - x. Round l to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**2 - 12*i - 32.\nAnswer: -(i + 4)*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(4 + sqrt(72)*2 - sqrt(72)).\nAnswer: -36*sqrt(2) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -112 = -3*b + 11. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 4*x + 2 = -30, 3*x = -3*o - 6. Let h(m) = -9*m**3 - 13*m**3 + 21*m**o. Give h(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.13991 from -51536.\nAnswer: -51536.13991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 13*h**2 + 46*h - 51. Determine f(-5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 108*l - 759*l + 208*l - 908*l as z + u*l and give u.\nAnswer: -1351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3015 is divided by 53.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 15*n**3 + 7*n**2 + 13*n - 3. Let o(s) be the third derivative of -s**6\/12 - s**5\/12 - 3*s**4\/8 + s**3\/3 - 8806*s**2. Determine 5*b(j) + 7*o(j).\nAnswer: 5*j**3 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -2*u**2. Let a(z) = -1439 + 1916*z**2 + 1439. Determine w(a(j)).\nAnswer: -7342112*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 2*t = 16, 5*o + 0*o - 14 = -t. Suppose -87 = -2*q + s, s + s = -o*q + 102. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -2*g**2 + 144*g - 488. Give i(5).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c + 28. Let i = -30 + 30. Calculate the remainder when g(i) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 78, 72, 62, 48, 30?\n\"Answer: -2*h**2 + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -21*h**2 + 3*h + 2. Let x(k) = -62*k**2 + 8*k + 6. Let p(g) = 8*n(g) - 3*x(g). Let c(y) = -145*y. Give p(c(u)).\nAnswer: 378450*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 19130326 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4692576?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20 - 5*i - 21 - 21*i + 3*i.\nAnswer: -23*i - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*i**4*v + 77*i**4 + 3*i**2 + 59*i*v wrt i?\nAnswer: 48*i*v + 1848*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 262*h + 658*h - 1 + 542*h - 359*h.\nAnswer: 1103*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10.52 in 1, 3, 1.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -905880, -1809342, -2712816, -3616308, -4519824, -5423370?\nAnswer: -6326952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -191 + 191 + 54*j to the form m*j + t and give m.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d**(-17))\/d)\/d**(1\/4))**(2\/35) assuming d is positive.\nAnswer: d**(-69\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in 3\/5, 1\/3, -26, 17096?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k - 4*m - 44, -4*k = -5*m - 1 - 78. Suppose -598 = 4*o + 326. Calculate the smallest common multiple of o\/28*8\/(-3) and k.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 323770272 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (20\/16)\/(1\/(-4)). Let z(y) = y + 7. Let d be z(w). Suppose f = -d*f. Which is bigger: 4\/7 or f?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -31) + (-1 + -1 + 10 + -13 - 0)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*v**2 - 220*v - 64 = 0.\nAnswer: -2\/7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1681*p**2*t**2*v**4 - 284*p**2*t**2 - 2*p**2*v**2 + 2*p**2 - 2*t**2 wrt v.\nAnswer: 6724*p**2*t**2*v**3 - 4*p**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62224 is divided by 59?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 103 + -114. What is the units digit of (l - -6) + (-8)\/12*-1137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the second derivative of 4*r**4\/3 + 11*r**3\/6 + 11*r**2\/2 + 283*r. Let x(h) = 3*h**2 + 2*h + 2. Give 4*i(c) - 22*x(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 4498351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**2 - 18*w\/7 + 3\/7.\nAnswer: -3*(w + 1)*(7*w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = 4*m + x - 8, m = -3*x. Let w be (1 + 732\/(-9))*m\/1. Let u = -127 - w. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11845507.\nAnswer: 11845507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -32, 2, 168, 532, 1160, 2118?\nAnswer: 3472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 49 and 3843?\nAnswer: 26901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 94*a**2 - 61. Let f(m) = 94*m**2 - m - 59. Let k(z) = -2*f(z) + 3*y(z). What is the second derivative of k(w) wrt w?\nAnswer: 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 13\/189 or 1?\nAnswer: 13\/189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 - 2 + 4)*(l**3 - l**3 + l**3) + 612*l**3 + 218*l**3 - 84*l**3 as u*l + d*l**2 + n*l**3 + s and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 123112.\nAnswer: 2, 11, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -148, -208, -310, -454, -640, -868, -1138?\nAnswer: -1450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 5, f: 1, m: 1, v: 1, z: 2}. What is prob of sequence mdv?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q - 5*q + 5*o + 116362, -5*o + 19382 = q. Is 64 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 22 and 550.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10 and 205?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the third derivative of -n**7\/280 + n**6\/40 - n**5\/16 + n**4\/16 + 58*n**2 - 2. Solve o(w) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 303\/15 - ((-18564)\/42)\/(-17)?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3630)*2 - sqrt(3630))*-3 - sqrt(3630) - sqrt(3630) - (sqrt(3630) - 1*sqrt(3630)*6))\/((sqrt(384) - 2*sqrt(384))*-3*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*o - 8 = 5*o + 76 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = -3*d, 1 - 18 = -4*o - 3*d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 65094 + -25595. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 38 + (1 - 0)\/(-1). Suppose -4*t + o = -15. Let a = t - -6. What is the greatest common factor of 209 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -20, -42, -64, -86?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -4*m - m - 2*f, m - 5 = -f. Suppose m*v + 20 = -2*v. Let s = -0.2 - -0.1. Which is smaller: v or s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13609*f + 13633*f - 312 = 0 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 4*x**3 - 6*x**2 + 5*x + 6. Let a(y) = -3*y - 2. Let s be a(-5). Let m(v) = 4*v**3 + 0 - 13*v**3 - 11*v + s*v**2 - 13. Calculate -13*c(f) - 6*m(f).\nAnswer: 2*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -100010110110010 (base 2) in base 14?\nAnswer: -6706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -2*d**3 + 13*d**2 + 8*d + 8. Suppose m = 0, 5*b + m + 11 = 46. Let n be a(b). Solve -3*p - 5*l + n = 0, 2*l = -2*p + l + 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = 256*v - 291*v. Suppose -5*u - 2*k + 0*k + 40 = 0, 4*u + 3*k = 39. Let j be -11*3\/u*-2. Put v, j, -1\/3 in descending order.\nAnswer: j, v, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 - (7 - (5 - 7))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -17*z**3 - 13*z**2 - 83*z + 358. Determine r(4).\nAnswer: -1270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 4343, 4252, 4159, 4064, 3967, 3868?\n\"Answer: -z**2 - 88*z + 4432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -22*y**2 - 689*y\/2 - 435\/2.\nAnswer: -(y + 15)*(44*y + 29)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z\/((z*z**(1\/3))\/z)*z*z**(-5))\/(z\/(z*z\/z**(-2\/15)*z)*z*z*z**(-6))*(z**(-5)\/z*(z*z**(1\/6)\/z)\/z)**(-1\/24) assuming z is positive.\nAnswer: z**(2941\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132 - 20 = 4*r + 2*d, 0 = -4*r + d + 124. Calculate the remainder when r is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fft when three letters picked without replacement from tftwtffftwtwwtf?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1847208 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4855\/(-10))\/((-182)\/(-252)). Let a = -21766 + 63277\/3. Let o = z - a. Find the common denominator of -15 and o.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence es when two letters picked without replacement from {d: 1, e: 1, h: 2, s: 2, m: 1, q: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, q: 11}. What is prob of picking 2 q?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 91947, 91946, 91943, 91938, 91931, 91922?\n\"Answer: -h**2 + 2*h + 91946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 27, 60, 113, 186, 279, 392, 525?\nAnswer: 678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the first derivative of -25*s**4\/4 - 15*s + 18. Find the first derivative of r(j) wrt j.\nAnswer: -75*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 + -7. Suppose g = 4*a - 3*a - 5*f - 16, -4*f = 2*a - 18. Let o(i) = -7*i - 3. Calculate the remainder when o(-5) is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 2*w - 3. Suppose 4*c + 22 = 2*z, 3*c = 3*z - c - 27. Let v(s) = 7*s - 11*s + 2*s + 4. Give z*a(p) + 4*v(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/2*4\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l + 5*l + 6*l)*(4*l - l - 2*l)*(-l - 15 + 15)*(-3 + 4 + 1).\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -666 + 696. Let p = -55 - -109. Calculate the least common multiple of p and j.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gsrsi. Give prob of picking 1 r and 2 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes after 1:17 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -121726\/7 - -17389. Which is the second biggest value?  (a) y  (b) 431  (c) 5  (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1795 and -5255.\nAnswer: 9432725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 2*n. Let r(o) be the first derivative of 0*o - 23 - 1\/2*o**2 + 20\/3*o**3. Give k(r(h)).\nAnswer: 40*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/18 and (-8)\/30*1863\/(-72)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(80)\/(sqrt(216)\/sqrt(6) - sqrt(4)))\/(sqrt(28)\/sqrt(252) + sqrt(4) - (sqrt(4) + sqrt(1296)\/sqrt(9))).\nAnswer: -3*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 10313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**2 - 5*p - 20. Let f be u(-10). Let z = f + 74. Suppose 0 = 2*h - 6, h = -3*w - 0*w + 48. Solve 3*t + 11 = 2*k - z, 3*k - 3*t = w for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 10, z: 9}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**2 + 3*i + 101. Determine y(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 2\/3  (b) 0.3  (c) -5\/4  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.081 times 0.19075?\nAnswer: 0.01545075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gsnggvgsgvvgvgvg?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + -11 + (-20)\/(-18) + 11390\/765?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3665838 to the power of 1\/2, to the nearest integer?\nAnswer: 1915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23901 + 923961 = 42*o. What are the prime factors of o?\nAnswer: 2, 5, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -234053c + -5?\nAnswer: -2340542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0020123673695 to four decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the first derivative of 464*x**6\/3 + 394*x**3\/3 - x**2 - 365. Find the third derivative of c(r) wrt r.\nAnswer: 55680*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -2*w**2 + 2*w + 5. Let s(f) = 4*f**2 - 3*f - 9. What is 7*d(o) + 4*s(o)?\nAnswer: 2*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -14 + 2330.\nAnswer: 2316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 154 and 31229.\nAnswer: 437206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uxuuuuxxvuxuuvux. What is prob of sequence vuuv?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 21111 (base 3) in base 4?\nAnswer: 3022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 611 divide 25680829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1521 is divided by 326?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + g - 39 = 0, -3*g + 26 = 5*f - 21. Suppose f*v - 413 = 3*v. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*u + 26996 + 49179 = 0. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w + h, -2*h - 1 - 5 = -w. Suppose 58 = w*v - 2*s - 2*s, v = -s + 35. Solve -n = -u - 1, -n + v = -5*u - 3*n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 419*f - 419*f - 2*f**3 + (f**2 - f**2 + f**2)*(-f + f + f) + (2 - 2*f**2 - 2)*((-5 + 4 - 2)*(-2*f + f + 3*f) + 3*f - 5*f + 4*f).\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i - 2*i**4 + 0*i)*(-i + 3*i - 3*i) - 4 + i**5 + 4 - i**5 + 3*i**5 - 3*i**5 + (2*i**2 - 2*i**3 - 2*i**2)*(-8*i - i**2 + 8*i).\nAnswer: 4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -19  (b) -3  (c) 14  (d) -1  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -953 divided by 5?\nAnswer: -953\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the first derivative of -z**5\/5 - z**4\/3 - 5*z - 5. Let n(v) be the first derivative of g(v). What is the third derivative of n(b) wrt b?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -2*y - 15. Let w(i) = -2*i**2. What is w(j(m))?\nAnswer: -8*m**2 - 120*m - 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 24\/(-13) - 6*12\/468\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**2 + 13*p - 9. Let y be g(8). Let h = y - 20. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -3\/26?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-3)\/2)\/((-13)\/130)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**2*o)\/(o**(2\/71)*o)*o**7*((o*o**32\/o*o)\/o)\/o assuming o is positive.\nAnswer: o**(2838\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in -1, 1, 4, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes after 10:55 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6526*d**4 - 12195 wrt d.\nAnswer: 26104*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6673 + -3840. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k + q, 0 = -3*k + 4*k - 3*q. Suppose l + 569 = 4*l + 5*u, k = -3*u - 15. Is 22 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 76 - 39. What is the remainder when f is divided by 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*v = -4*v + 8*l - 4*l - 179, 158422*v - 158427*v - 4*l - 1 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-3 + 2)*1 - (-4 - 68) is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 128769993 to the power of 1\/2, to the nearest integer?\nAnswer: 11348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the second derivative of 3*t**6 + 13*t**4\/3 - t - 36. What is the third derivative of d(y) wrt y?\nAnswer: 2160*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-304)\/76 + (6\/4)\/((-2)\/(-8)). Let g = 458 + -1821\/4. Factor 3\/2 + 5\/4*b - g*b**f.\nAnswer: -(b - 1)*(11*b + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -308124.4872 to the nearest ten.\nAnswer: -308120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.027219 * 0.4.\nAnswer: -0.0108876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 6 = h. Let d be ((-30)\/(-12))\/(h\/4). Solve -2*l + 3 + d = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-98)\/(-21) - (-3 - (-8)\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/d**(-8)*(d\/d**(-21)*d)\/d assuming d is positive.\nAnswer: d**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3.094 - 3. Let k = g - 0.09399883. What is k rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 1\/10, 1\/4, 50942?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l + 0*l - 9 = 3*x, 259 - 262 = l for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 104 a factor of 924169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 27\/14 + -23\/14. What is the closest to 0 in l, 1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 43\/4 + -127\/12. Let l be (-1)\/(-4) - (-207)\/(-780). Let p = -9\/65 + l. Which is the third biggest value?  (a) p  (b) -2  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 2*y**2. Let o(x) = -1150784*x**2. Determine n(o(r)).\nAnswer: 2648607629312*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -53972.70887 to zero dps.\nAnswer: -53973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 215911976.\nAnswer: 2, 7, 3855571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 46263, 50543, 57677, 67665, 80507, 96203?\n\"Answer: 1427*r**2 - r + 44837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6439\/3 + -2165. Let d = t + 18. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 35549, 35557, 35565, 35573?\n\"Answer: 8*u + 35541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 435696 and 1160?\nAnswer: 2178480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.6, 0.02, -1, 0.06?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-276)\/414 - 8\/(-18)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 73 - 217 = 0. Let f be (b\/10)\/((-2)\/(-5)). Suppose 2*y = -5*i + 56, -4*y - 27 = -3*i - f. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -48.5815 and -0.5?\nAnswer: 24.29075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(891)*-4 - (-1 + sqrt(539)*6)**2.\nAnswer: -19402 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 189 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -40, 2\/17, 2, -2\/19, -7 in descending order.\nAnswer: 2, 0.3, 2\/17, -2\/19, -7, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -64*j**2 + 19*j**2 - 28*j + 56*j - 30*j as a*j**2 + x + s*j and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -2 - (-16 - -15 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 - -8a4a6?\nAnswer: 8a4aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*u - 15 = 40*u. What is the nearest to -1\/2 in 17, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**3 + 5*r**2 + 5*r + 6. Let f = -2 - -8. Give c(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 230 - 144. Suppose -3*x - 20 + p = 0. Calculate the greatest common divisor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 139435 and 198211.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**2 - 10*g + 4. Calculate the remainder when 59 is divided by k(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -4*m - 3, 2*v - 3*m = -7. Solve -p = 4*n, -v = 5*p - 2*n - 23 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 11745341 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62*c - 67*c + 9 = -4*j, 0 = -4*c - 4*j + 36 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9245.781 months to decades.\nAnswer: 77.048175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 4*o**3 - 222*o**2 + 109*o + 19. Give v(55).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1123332001112 + -3?\nAnswer: 1123332001103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 167\/42 and -57\/77.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 73317895 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 6*m + 4. Suppose -3*q - 10 = 2*o, 3*q - 7 = 4*q - 3*o. Let f(p) = -7*p - 5. Give q*f(a) - 5*v(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18080 and 16194.\nAnswer: 146393760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1517.\nAnswer: 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -23749 + 12223. Let p = -5795 - o. Is p 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 67 and 229073?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvhm when four letters picked without replacement from {m: 1, h: 1, j: 8, r: 1, v: 6}.\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*k - 109123 = -107899 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the third derivative of -q**2 - 1\/6*q**3 + 1\/24*q**4 + 0*q + 0. Let a(n) = 2*n - 4. Let i(z) = a(z) - 3*x(z). Determine i(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13303362?\nAnswer: 2, 3, 593, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 208.917 + -209. Let j = -0.08300161 - y. What is j rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*-0.091.\nAnswer: -0.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w = -2*p - 6, -43*w - 5 = -42*w - 5*p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*k**3 + 4*k + 2*k + 81*k**3 - 3*k in the form x*k**2 + p + i*k + c*k**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2052 by 4.\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -2*x**2 + 628*x - 49298 = 0.\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -6*sqrt(18)\/(sqrt(9) - sqrt(18)\/sqrt(2)*-6))**2.\nAnswer: 12*sqrt(2)\/7 + 121\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2322254940563\/11439 + -203012059. Let o = q + 4\/369. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 151 a factor of 44176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/((q*q\/q**(7\/2))\/q))\/(q\/q**4))\/(q\/(q*q*q**(1\/2)\/q)*q\/((((q*q**8)\/q)\/q)\/q)) assuming q is positive.\nAnswer: q**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-190)\/(-5) - 2\/1. What is the highest common divisor of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -409 - -406. Suppose -4 - 11 = 3*l. Which is the second biggest value?  (a) 0.2  (b) l  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 40762 and 1832?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/2  (b) 0.4  (c) -4\/9  (d) -1  (e) 1\/35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 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: Let b(l) = -22*l - 3. Let p(z) = -196*z - 26. Let x(t) = -52*b(t) + 6*p(t). Let c(q) = 3*q**2. Give c(x(h)).\nAnswer: 3072*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-8)\/6 - 2\/(-6). Let o(u) = u**3 + u**2 - u - 1. Let q be o(g). Suppose -5*b + 0*b + 40 = q. Solve 0 = 3*v - b*v - 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -5008, -9618, -13830, -17644, -21060?\n\"Answer: 199*x**2 - 5207*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 351 - 350.97. Sort j, 0, 1, 2 in descending order.\nAnswer: 2, 1, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -14*q**4 + 580*q**3 + 336*q**2.\nAnswer: -2*q**2*(q - 42)*(7*q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*s - 69 + 14 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 plus 511?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 78 - (-1 - (-3 + 3)). Let v be -10*4\/24*3 + -83. What is the common denominator of (d\/3)\/(v\/33) and -61\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes before 12:02 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 13*a**2. Let u(r) = 10*r**2 - 9*r - 8*r**2 - 94*r. Give u(d(c)).\nAnswer: 338*c**4 - 1339*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10 + 12. Suppose n*q - 10 = -0. Let v(a) be the third derivative of -a**5\/60 + 5*a**4\/24 + a**3\/2 + 4*a**2. Calculate v(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -15*h**2 + h + 1. Let i be v(-1). Let y = 66 + -37. Calculate the remainder when y is divided by (-5 - 102\/i)*(-20)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -21 + 24. Suppose 0 = q + 3*l - 2*l - 23, r*l - 119 = -5*q. Calculate the greatest common factor of q and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.103 - -0.203. Which is the nearest to -2?  (a) -1  (b) 1\/5  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c - 5 = 5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**3 + 13*p**2 - 8*p - 38. Let o be n(12). Suppose 4*k = 2*y - 24, 4*k + 4 = -3*y + 2*k. Solve h + 5*u = -o, 0*h + 5 = -y*h + 5*u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**2 - 2*p + 1. Let j(y) = -y**2 - 3*y + 1. Let c(s) = s**3 - 3*s**2 + 2*s - 4. Let m be c(3). Calculate m*j(o) - 3*k(o).\nAnswer: o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*b = -5*b - 12. Suppose -2*t + h = 2*h - b, 5*t = h + 1. Suppose t + 1 = 2*a, 2*a + 28 = 3*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15058, -10, -4\/3 in descending order.\nAnswer: -4\/3, -10, -15058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10232 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/1538 != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -0.68 times 6\nAnswer: -4.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 390415?\nAnswer: 5, 113, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1, 60, 163, 302, 471, 664, 875, 1098?\n\"Answer: -t**3 + 27*t**2 - 13*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -2*y + 1. Let w be g(6). Let i(t) = t. Let a(h) = -6*h - 11. Let k(n) = a(n) + 5*i(n). Let b be k(w). Solve -2*m = 2*s - 16, b*m + m = 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3 + (-10 - (11 - 11)) - -1) + 31\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7122614\/15 + 474844. Find h such that i - 2\/15*h**2 + 44\/15*h = 0.\nAnswer: -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t - h + 39, -6*h + 4*h + 52 = 4*t. Let j = -8 + t. Solve -1 = -j*d + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 57 + -54. Suppose 4*a = -3*k + 417, -3*a - 8*k = -m*k - 321. What is the greatest common factor of a and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g + 16 = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-3)\/1 - -3) + 3. Suppose -5*y = 4*p - 32, -5 = -2*y + 7*p - 6*p. What is the remainder when (1 - -15) + -2 - 9\/g is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 2*x + 4. Give k(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i + 3*y - 25 = 5*i, -3*y + 53 = 8*i. Sort i, -1, 25, -9 in descending order.\nAnswer: 25, i, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -64 + -734.\nAnswer: -798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u - 4*p + 4, -4*u + p = -2*p + 13. Let n be u\/5*150\/(-20). Suppose n*l - 139 = 101. Calculate the highest common divisor of l and 440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1494 + -1490. Let o be (-1)\/5 + (-1368)\/(-40). Let k = o - 18. What is the greatest common divisor of k and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 282 - 408. Let s = k - -165. Round s to the nearest integer.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 675307583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 67066379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2 - (453 + -3 + -2). Let o be 134\/((17\/q)\/(-17)). What is o rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2011020 + 2121?\nAnswer: 2013201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16.6*-0.2.\nAnswer: 3.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10.66 - 11. Let g = 0.06 - l. Let m = -0.01 + 1.01. Which is the nearest to m?  (a) -3  (b) g  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11.27908 rounded to 0 dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 20\/(-12))\/((-100)\/(-750)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((156\/(-26))\/24)\/((-10)\/(-240)*(-2)\/4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 - -6. Let s be 74 - (4\/(-7) + 3\/(-7)). What is the greatest common divisor of d and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/((f\/((f\/(f\/f**(3\/4))*f*f)\/f))\/f))\/f*f*f*(f\/(f*f**(-1\/8)*f))\/f*f)**45 assuming f is positive.\nAnswer: f**(1035\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31344061 is divided by 111943.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -455*j**2 + 22299*j - 190. Give u(49).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/20 - (-14)\/5. Let v(l) = l + 1. Let w be v(h). Suppose -24 = -4*q - 3*r - r, 0 = -w*q + r + 24. Solve c = q*c + 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*d + 106838 = -4*t + 106952, 105 = 5*t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -2*n - 1. Let p(f) = -4*f - 1. Let k(x) = 6*p(x) - 10*z(x). Let o be k(-7). Let j = o - 18. Calculate the smallest common multiple of j and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qw when two letters picked without replacement from {k: 1, u: 1, m: 1, w: 2, i: 1, q: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 20 - 11)*(5 - 2 - 2 - 3*d) as c*d + f and give c.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3517195.\nAnswer: 5, 11, 63949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 152 (base 9) to base 4\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 59040*d + 74725 wrt d?\nAnswer: 59040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5896 = -671*o + 8195 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -119*v + 5. Is w(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 25912 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the second derivative of -w**4\/12 + 14*w**3\/3 - 31*w**2\/2 + 6*w - 2. What is the hundreds digit of l(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*q + 3*u - 80 - 17, 163*q + 162*q - 25 = 326*q + 5*u for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 31014861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/((-1960)\/77)*-14.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - 32 = -0*s - 4*f, -3*s - 28 = -4*f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -420 - -414.26. Which is greater: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -124 + -12?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 68251373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110111010000011110010 - 1100?\nAnswer: 110111010000011100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2528.742 grams to micrograms.\nAnswer: 2528742000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82 = -18*v + 136. Solve 8*m + 10 = v*m + 2*w, 0 = m - 5*w + 25 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/2*100\/950.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -664 + 862. List the prime factors of x.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 + -7. Let u(z) = -z**2 + 7*z - 6. Let n be u(5). Sort 5, h, n in ascending order.\nAnswer: h, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = -w + 11, 3*w - 5*v - 5 = -23. Put 94, -8, w in descending order.\nAnswer: 94, w, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 953, 1923, 2893, 3863, 4833?\n\"Answer: 970*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (139\/2)\/(13\/(-156)). Let x = i - -1392. What are the prime factors of x?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -936684, -936675, -936658, -936633, -936600?\n\"Answer: 4*k**2 - 3*k - 936685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1309565 and 2365?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-30)\/56 - (-26)\/104. Which is the closest to u?  (a) -2.5  (b) 0  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 8*b = -4*d + 622, -d = b - 208. Suppose 3*m - 4*v = 156, b = 3*m - 3*v + 57. What is the remainder when m is divided by 41?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-71 + 156)\/(-5 + 135\/36)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 59755472 and 5474?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -988534489639 less than -22?\nAnswer: 988534489617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:11 AM and 5:59 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3.28 + -0.82. Let f = s - -0.1. Let c = -4.2 - f. Is 1\/42 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**3 - 14*m**2 + 78*m - 492. Determine h(10).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -2*y**3 - 45*y**2 - 241*y + 20. Let n be j(-9). Solve n*v - 76 = -84 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1554 divide 11389658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 9062.888g in tonnes?\nAnswer: 0.009062888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*w - 3*w + 4*w)*(-24 - 24 - 29 + 11) in the form x*w + t and give x.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*j + 3*k = -23*j + 10, 5*j + 3*k = 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the first derivative of -3735*w**4\/2 + 34*w**3\/3 + w**2 + 3*w + 3335. What is the third derivative of q(j) wrt j?\nAnswer: -44820","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -497 + 521 = q + 4*v, 0 = 3*q - v + 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.05 + 2.95. Let r = -131 - -57. Let d = r + 78. Which is the biggest value?  (a) -2\/7  (b) d  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18407 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -219 + 220. What is the nearest to -2\/3 in -0.2, 0, a, 0.02?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1585938, 3171871, 4757804?\nAnswer: 6343737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 7679.5398 minutes?\nAnswer: 5.33301375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together -46 and 31.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 2 u, and 1 e when four letters picked without replacement from eedauuaaae.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*d**2 + 27*d**2 - 2*d + 2*d.\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nns when three letters picked without replacement from {s: 5, n: 4, d: 10}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1548587303 to the nearest integer?\nAnswer: 39352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 0.4  (b) -0.0573  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-12)\/(-15))\/((-12)\/30). Put g, 0, 4, -3 in ascending order.\nAnswer: -3, g, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from svhzspiizzvzizs. What is prob of picking 2 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.18  (b) -1\/253  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*i = 17*i, 2*s - 3*i = 8. Solve -3*f = r, -r + 0*f - s*f = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 3) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, m: 2, w: 1, a: 1, f: 1, j: 1}. Give prob of sequence mf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 6*x - x + 1401, 0 = -4*r - 2*x + 5692. What is the greatest common divisor of r and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1382 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (b**2 - 4 + 4)*(-2 - 2 + 3) - 3*b**2 + 201 - 2*b + 125 - 99 as m + h*b**2 + o*b and give m.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34 = -4*k + 18. Calculate the remainder when k is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 27\/3001475?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6766 (base 8) to base 13.\nAnswer: -181c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 222 and 116847554.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -21 - (-5 - (-6 - 2)). What is the units digit of (7314\/21 - -1) + h\/84?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1a + 769?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 2 d when four letters picked without replacement from {b: 3, k: 4, d: 2, a: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are 530 and 531 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-74)\/24 - (8 - 6) and (36\/(-24))\/(21\/113).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 12450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 6*j - 18. Let h be w(3). Solve -2*d + 2 = -h*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*r + 86*r - 308 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -108*h - 13. List the prime factors of g(-7).\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10 + 12. Solve 2*n + 4 = -o + 5, 0 = -4*o - 5*n - t for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2582 - -2334. Which is smaller: -245 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 4*o + 301. Let x(y) = 9*y + 597. What is -2*x(q) + 5*z(q)?\nAnswer: 2*q + 311","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-4*(sqrt(1700) + -2) + -1)*6 + 4.\nAnswer: -240*sqrt(17) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -6*y**2 - 2*y + 2. Let b be (-2)\/(13\/((-117)\/6)). Let k(v) = 6*v**2 + 3*v - 3. Determine b*f(l) + 2*k(l).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -4*x**2 + 148*x - 24. Calculate d(37).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -196 = -3*z + 89. What is the remainder when z is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 + (-5 + 4)*-21. Suppose -2*i + v = 7. Suppose 0 = i*f - 24 - 90. Solve -5*u + f = 5*k + 4, -k = -u - 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*c**3 + 3*c**3 - 3*c**4)*(350 + 473 - 207) as l*c**3 + r + m*c**4 + y*c**2 + i*c and give m.\nAnswer: -1848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*x + 1597*x**2 - 3*x + 1633*x**2 - 2773*x**2 in the form j + b*x + s*x**2 and give s.\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-1)\/2)\/(1\/4). Let m(t) = t**3 + 2*t**2 + 2*t - 1. Let p = -140 + 81. Let i = p + 60. Let s(d) = d**3 + d - 1. What is h*s(q) + i*m(q)?\nAnswer: -q**3 + 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w + 3 = 2*n - 2, 2*n = -2*w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -10011010111111111101 (base 2) in base 14?\nAnswer: -127525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 131.5*-0.1\nAnswer: -13.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -4, 0.1, 3 in ascending order.\nAnswer: -4, -3, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 4357993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1267059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -424572809.99999956 + 424572817. Let v = 7 - q. Round v to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*m**2 - 3*m**2 - 2*m**5 - 2*m**5 + (-5*m**2 + 3*m**2 + m**2)*(-33*m**3 - m**3 - 21*m**3).\nAnswer: 51*m**5 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 353510?\nAnswer: 2, 5, 23, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = 4*b + 136629, -28*b + 15 = -23*b. Is -3 - w - (-26 + 17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.95 - 1. Let h = 7 + -6.95. Let l = h + d. Which is smaller: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4103 (base 11) in base 14?\nAnswer: 1db2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 2.2  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 5, 28, -86, 1, -4.\nAnswer: -86, -4, 1, 4, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9595*k + 15825 = -8962*k for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*-1*-4*12\/(-48).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1293498940 take away 0?\nAnswer: 1293498940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -56.937 + 57. Let x = v + -0.0630031. Round x to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 19*t - 18*t. Let h be (-4 - -4)*t\/6. Let g be 20\/(-70) + (-74)\/(-14). Solve -2*w - g*j = -h*j + 23, -2*w - 2*j - 8 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1701)\/18)\/(-21)*(2 + (-12)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -28+-8.8035858\nAnswer: -36.8035858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.051 * 4.568.\nAnswer: -0.232968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3488102507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*g = -5*g - 48*g - 540. Sort g, -1, 912 in decreasing order.\nAnswer: 912, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -4*f + 4. Calculate n(-11).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = 2*n + 6, -n - 26 = -4*y + n. Solve 0 = y*f - 4*u - 36, 0*u + 4*u + 32 = 3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (41\/574)\/(-2*(-2)\/8)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 8*u**2 - 4294*u + 38657. Determine o(9).\nAnswer: 659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 242 is divided by 93?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0.03126*1\nAnswer: 0.03126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 14 - -5?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -18846*y + 188513. Give f(10).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 22017 by -123.\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -5*m**2 + 28*m - 16. Determine a(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -106, -110, -112, -112, -110?\n\"Answer: d**2 - 7*d - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 15904056.9 to the nearest 10000.\nAnswer: 15900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 514 divide 269421324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 - 9)*(-1)\/(-3). Let m be x\/((-2)\/((-4)\/(-3))). Is 2 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/157360666 and 93\/14?\nAnswer: 1101524662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -180092, -360202, -540316, -720434, -900556, -1080682, -1260812?\n\"Answer: -2*i**2 - 180104*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 11) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-244)\/(-10) + -8)\/(2\/(-200)). Round m to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28994769 to the power of 1\/4, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 449 = o + 70, -o - 5*d + 400 = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-14)\/(-91) - (-2)\/(-13). Let b be (1 + -1)\/(f - 1). Suppose b*r = -r + 22. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the third derivative of l**5\/20 + l**4\/8 - l**3\/2 - l**2. Let y = -305 - -307. Let h be r(y). Calculate the highest common factor of h and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.43 times -1611\nAnswer: 692.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 7809122677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, d: 4, f: 5, z: 8}. Give prob of picking 1 z, 2 k, and 1 d.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3569, 7141, 10713, 14285, 17857?\nAnswer: 21429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the first derivative of 392*k**3\/9 + 28*k**2\/3 + 2*k\/3 - 1. Factor v(h).\nAnswer: 2*(14*h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/(((-72)\/200)\/9). Suppose p = -5*y - 337505, -4*p + 9*p + n = 0. What is y rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -236 + 557. Suppose -4*m = -3*m - a. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.59  (b) -3  (c) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1763.\nAnswer: 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 608528.2742 to the nearest 10.\nAnswer: 608530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 155 divide 7081020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -20*z**2 - 4*z - 2 - 19*z**2 - 3*z**3 + 26*z**2 + 2*z**3. Let a be w(-13). Factor -2*r**4 - 4*r**3 - a*r**2 + 20*r**2 + 28*r**2.\nAnswer: -2*r**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 30a64b - 23?\nAnswer: 30a628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(3\/16)\/u)\/(u\/(u\/(u\/(u**(-3)*u*u))))*u**9\/u**5)**(-1\/35) assuming u is positive.\nAnswer: u**(-1\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 238, -0.1, 0, 4 in decreasing order.\nAnswer: 238, 4, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 20924 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 15) to base 8\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes after 3:42 AM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/11 in 5, -588, 1\/2, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 175*s**5 + 5165*s**4 + 47160*s**3 + 123160*s**2 - 68560*s + 8400 = 0 for s.\nAnswer: -14, -10, -6, 1\/5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 515.2789 to the nearest ten.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/26 + 432\/234. Calculate the greatest common factor of f and 366.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 731.7931 years to millennia.\nAnswer: 0.7317931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (-1 + 0) - (-13 - -15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/4, 11, -6, -0.1, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -248 * -49396\nAnswer: 12250208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/(-7)*(-3)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -11220 take away 19.299269?\nAnswer: -11239.299269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 7191362621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6 - -4 - (-2)\/3)*-6. Suppose -g*k + k + 462 = 0. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 469 + 13. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.054 - -0.03. Let d = t - 0.046. Let n = -0.06691 - d. Round n to 4 decimal places.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.138975 grams to nanograms.\nAnswer: 7138975000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1*6\/2344)\/(((-66)\/176)\/((-25)\/25)).\nAnswer: 2\/293","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -20*l**3 + l. What is w(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -22c (base 14) in base 7?\nAnswer: -1155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve p - 8 = 2*o, 5*o + 34 = 2*p + 17 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-710 + 705)*((-2)\/4 - 3\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the first derivative of -11*y**2 - 23*y - 19. Differentiate f(m) wrt m.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2345 = 283*t + 53*t + 28628 - 3435 for t.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 84*k**2 + 1. Let o(g) = -2*g - 1. Let x be o(-2). Suppose 2*r - r = 2*u, 0 = -3*u - x*r + 9. Is t(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2 - (4\/(-18) - (-731)\/(-153)). Is 21 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 2*z + 2. Let y be r(5). Let m(n) = 8*n**2 + 4. Let w be m(-4). What is the greatest common factor of y and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40714046 is divided by 1472?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and 2154507.\nAnswer: 6463521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -4*s**3 - s**2 + 10*s. Let z(c) = 5*c**3 + c**2 - 11*c. Determine 3*k(y) + 2*z(y).\nAnswer: -2*y**3 - y**2 + 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.205 times -338026?\nAnswer: -69295.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 138.68562 months to centuries.\nAnswer: 0.11557135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -40601 (base 9) to base 11\nAnswer: -190a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -42 - -28. Let q = d + 89. What is the greatest common divisor of q and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 6*d**5 - 21*d**3 + 6*d**2 + 18*d - 12. Let h(u) = -6*u**5 - u**4 + 21*u**3 - 5*u**2 - 17*u + 10. Let m(o) = 2*a(o) + 3*h(o). Solve m(x) = 0 for x.\nAnswer: -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**2 - 10*s - 20. Determine n(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/7 + 2\/(126\/261). What is the second derivative of -2*b**2 + 38*b**d - 3*b - 82 + 4*b**4 + 77 wrt b?\nAnswer: 504*b**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.127 + -13.327. Let i = 219 - 232. Let o = a - i. What is the second smallest value in 4, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 55 = t, 0*x - 4*x = -t + 60. Let p be t\/(10 + -2) - 5. Determine f, given that 0 + 3\/2*f**3 + 9\/4*f**4 + 0*f + 1\/4*f**2 + f**p = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -40*q + 820. Let b be y(18). Let z = 134 + -80. Let k = b - z. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:11 AM and 3:05 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-397 - -386) + (114 - -5)\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3601487 (base 9) in base 2?\nAnswer: -111011100000000110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 51*y**2 - 36. Let f(t) = 25*t**2 - 19. What is -11*f(x) + 6*u(x)?\nAnswer: 31*x**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/(2584\/114)*3?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/((-27)\/108*50*1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**2\/r*r**(-2\/5))\/((r**8*r)\/(r**(-2\/7)*r)) assuming r is positive.\nAnswer: r**(-269\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -1 - 3 - (1 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 5*b**2 - 5*b + 8. Suppose 0 = 8*v - 9*v + 2. Let i be c(v). Which is smaller: i or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**5*d)\/d)\/(d*d*d**(4\/3)\/d*d*d*d*d*d)*(d\/((d\/d**0)\/d*d*d))\/(d*d*d**(2\/9)) assuming d is positive.\nAnswer: d**(-50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -812 = 88*o - 126 + 133 + 589 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-42)\/36 + 1 + -6 - -6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:50 PM and 12:50 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (108\/36)\/((-8)\/(-2)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -26, 5, 3, -3, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 309443?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52 = -5*v - 3*u, -5*v - 3*u + 5*u = -32. Solve 0 = -n - n + v for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9291 is divided by 9285.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2361452 is divided by 350.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 282 divided by 6\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 71 a factor of 15194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 830 + (12\/(-6) - -7) and 35?\nAnswer: 5845","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmlllllm. Give prob of sequence ll.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -979 + 977. Let n(y) = -144*y - 288. Let g be n(o). Factor 2\/3*r**2 - 4\/3*r + g + 1\/3*r**3 - 1\/6*r**4.\nAnswer: -r*(r - 2)**2*(r + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20559.\nAnswer: 3, 7, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -6b + -4?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1462 = -38*w + 55*w. Calculate the greatest common factor of 8 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 63, 42, 10 in decreasing order.\nAnswer: 63, 42, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f = 4*a - 24, 2*a = -0*a - 2*f + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - ((5 - 6) + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2221002 - -1002020?\nAnswer: -1211212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1660.4 - -1660.40003254. What is t rounded to 7 dps?\nAnswer: 0.0000325","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 20 = -9*x, -5*j = -3*x + 7. Let k be (1 + -3 - -2)\/j. Suppose 0*o - 5*o + 60 = k. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-75)\/(-2) - (-2)\/4. Suppose 4*t - f = -2. Solve -3*p + t - 24 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 546.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, -2\/13, -5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 671\/54 - -2\/27. Let c = 1\/37 + -2047\/444. Find the common denominator of c and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -148711, -297356, -445935, -594442, -742871, -891216?\nAnswer: -1039471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3501626680.\nAnswer: 2, 5, 17, 89, 57859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(((2*sqrt(114) - sqrt(114))*4)\/(sqrt(6)*-1*-5) - (5 + sqrt(171)*-2 + -5)**2).\nAnswer: -8*sqrt(19)\/5 + 1368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(320) + sqrt(320)*-1)**2 + 5 + 5 + (1 + sqrt(245))**2.\nAnswer: 14*sqrt(5) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -1113.86 to the nearest 10.\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 7919*w**3 + 124*w**2 - 2706. Let u(a) = -15839*a**3 - 279*a**2 + 5412. Let y(r) = -9*c(r) - 4*u(r). What is the derivative of y(b) wrt b?\nAnswer: -23745*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59*s - 65*s = -6000. What is the hundreds digit of s + 2 + -2 + -12 + 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**3*q*q*q*q*q**4)\/(q\/(q**(1\/2)*q))**(-8))\/((q*q*q**(2\/5))\/q**(1\/4)*q*q*(q**4*q)\/q*q**(-1\/4)*q) assuming q is positive.\nAnswer: q**(-19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4422\/13 + -340. Let g(r) = -3*r - 2. Let u be g(-2). Suppose -41 = u*o - 5*b, b - 9 = 3*o + 8. Sort w, o, -0.2.\nAnswer: o, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 - 19 = 2*f - 10*l + 18, -l + 8 = -3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**3 + 35*c**2 - 38*c - 47. Give w(-36).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -15*x**6 - x**4 - 34*x**3 - 3*x**2 - 88*x + 11 wrt x.\nAnswer: -1800*x**3 - 24*x - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the third derivative of 2*r**3 - 2\/15*r**5 + 0 + 0*r**4 + 0*r + 6*r**2. Differentiate s(m) wrt m.\nAnswer: -16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5111, -5075, -5039, -5003, -4967?\nAnswer: -4931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 24 and 63527616?\nAnswer: 63527616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 150.263963226 + -272.\nAnswer: -121.736036774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9817223.\nAnswer: 13, 755171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 129640498 or 129640499?\nAnswer: 129640499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - h + 34 = 0, 4*z - 24 = 2*z - 3*h. Suppose 16 - 232 = -z*d. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -599748 divided by -212?\nAnswer: 2829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -21351 - -21355. What is the closest to -208 in -3, 2, j, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -24.5 - -25. What is the nearest to -2 in 1\/3, -1.3, z?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 - -771621603?\nAnswer: 771621606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20.73 + 17. Let a = k + 3.23. Which is smaller: a or 2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 138, 134, 120, 90, 38, -42, -156?\n\"Answer: -a**3 + a**2 + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -548412 divided by -182804?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2812556666?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bmbepmm. Give prob of sequence peb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes before 1:36 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 3*d. Let i(o) be the third derivative of -1\/20*o**5 + 0*o**4 - 34*o**2 + 0*o**3 + 0*o + 0. What is q(i(l))?\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 0.4  (b) -92  (c) -2\/5  (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 + 4. Suppose 0 = 5*x + 3*p + 2*p + 10, 4*x - 4*p = -24. What is the nearest to 0.1 in m, 4\/5, x?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**14)**(1\/48)*((c**(5\/2)\/c)\/c)**(-26))**14 assuming c is positive.\nAnswer: c**(-2135\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*v - 8367 = -3051. Suppose 7*c + v + 229 = 0. Let b = 90 + c. Let f(u) = u + 1. Let m(p) = -5*p - 5. Determine b*f(q) - m(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(420)\/(sqrt(10) - (sqrt(10) - sqrt(250))) - sqrt(42)) + sqrt(1050) + -2*sqrt(1050))\/((sqrt(1350)*-1)\/sqrt(9)) + -4.\nAnswer: -4 + 29*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-7))\/(-1 - 2)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((s*s**(-2\/29))\/s)\/s)\/((s\/(s*s**(-11)))\/s*s*s)*(s**(-2\/7))**(1\/16))**(2\/81) assuming s is positive.\nAnswer: s**(-21253\/65772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 137263 is divided by 15251.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 60\/(-36) + (-76)\/(-20) - 2.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-6)\/(-4)*2\/3. Let z(m) = 5*m**3 + 281*m**2 - 521*m + 64. Let g be z(-58). Put g, t, -4 in descending order.\nAnswer: g, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 562 + -556. Let g = -27 + 40. Suppose g*a - 15*a = -28. Calculate the remainder when a is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3438119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = 2*v + 8. Let z(r) be the third derivative of -r**5\/30 + 135*r**2 + 1. Give z(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 29 - 0*4\/(-8). Let u = j - 41. Let k be ((-20)\/u)\/(2\/6). What is the highest common divisor of 40 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -57163, -228639, -514433, -914545, -1428975, -2057723, -2800789?\nAnswer: -3658173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 225393, 225384, 225367, 225342, 225309?\n\"Answer: -4*n**2 + 3*n + 225394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 + 2393*r + 33 - 5.\nAnswer: 2393*r + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 303399.6 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 164816112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5 - -6. Suppose d = -t - 0. Let u be (-10)\/(-8) - 2\/8. Is u at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0\/(2 - (1 + 3)). Suppose -2*o + 10 = -2*u, -5*o + 19 = -i*o - 2*u. Solve -g - 27 = -0*g + 5*m, -19 = 2*g + o*m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that 4*l**4\/3 + 72484*l**3\/3 + 109493116*l**2 + 984930716*l\/3 + 656523848\/3 = 0.\nAnswer: -9059, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2309.741 millilitres to litres.\nAnswer: 2.309741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 6*i**3 + 1973*i**2 - 329*i - 159. Determine k(-329).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a + 5*p + 7, 0 = 5*a - 2*a + 3*p - 15. Suppose f - a*u + 7 = 0, -2*u - 4 = -3*u. Calculate the remainder when 123 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -125.2 - -130.2. Let l(a) = -a**2 - a. Let k be l(-2). Sort r, k, -2\/23, 1 in decreasing order.\nAnswer: r, 1, -2\/23, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the third derivative of v**8\/48 + v**5\/15 + 7*v**2. Find the third derivative of w(t) wrt t.\nAnswer: 420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -29, -67, -139, -251, -409, -619?\n\"Answer: -z**3 - 11*z**2 + 2*z - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -5, -6, 0 in decreasing order.\nAnswer: 2, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:53 AM and 4:11 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 + -11 - -1 - 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) 68  (b) -86  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:27 AM and 12:22 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 97832 and 4746599.\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2 + 15\/6)*(2 + -4). Let p = -2 + -2. Put p, -2, f, 1 in descending order.\nAnswer: 1, f, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10749.8 + 10750. Which is the closest to 0.3?  (a) s  (b) 39\/4  (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1101110 - 10?\nAnswer: -1101120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) -19  (c) -2  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 - 13*d**2 + 32*d - 16. Let s be v(10). Put -1, -7, s in increasing order.\nAnswer: -7, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23478*n + 23433*n = -450 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1303*d + 551*d - 30832 for d.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(48)*-1)\/sqrt(8) + sqrt(6))*5)\/(-3*(sqrt(72)\/sqrt(4))\/sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**3 + n**2 + 8*n - 11. Let x be z(5). Let p = 78 + x. Solve -2*o + 3 = -p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 2 - 2*m - m**2 - m**2 + 0 + 0*m**2. Determine u(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12910 and 25820.\nAnswer: 25820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 10\/(-5)*2\/(-10). What is p in 0*p - 2\/5 + y*p**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 c, and 1 k when three letters picked without replacement from {c: 2, h: 2, e: 1, o: 3, j: 1, k: 9}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the second derivative of 13*t**7\/42 - 3*t**5\/20 + 13*t**4 + t**3\/6 - 3*t + 10. What is the third derivative of n(x) wrt x?\nAnswer: 780*x**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrrhhhhrrrhhhrr. Give prob of picking 2 r.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-18)\/(-2) + -13)\/(0 - (-12)\/(-45))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 288820961?\nAnswer: 11, 13, 103, 19609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 33 and 129?\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 0, -3*r - 2456 = -2*c - 8*r. Suppose -8*q + c = -4*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(12\/7)\/g*g)\/(((g*g**(3\/5)*g)\/g)\/g) assuming g is positive.\nAnswer: g**(39\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*s = 12*s + 370. Is s a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**3 + 11*y**2 + 2*y - 65. Give k(0).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**2 - 15*c + 5. Let i be f(16). Does 41 divide -1 + 27\/i + 481\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and -91.14.\nAnswer: -18.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -27*b - b + 83 - 12*b**3 - 20*b - 55*b**2 + 45*b**3. Let h(k) = 15*k**3 - 27*k**2 - 24*k + 42. Let c(s) = 13*h(s) - 6*n(s). Factor c(o).\nAnswer: -3*(o - 1)*(o + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 13*h**2*l*p + 6*h**2*p*z + 5*h**2*z - 13*h**2 - 3*h*l*z - 2*l*p*z wrt p.\nAnswer: 13*h**2*l + 6*h**2*z - 2*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*p - 4*p + p)*(3 - 4 - 4)*(2*p**2 + 3*p**2 - 4*p**2) as w + k*p**2 + g*p**3 + r*p and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -9*k**3 + 5*k**2 + 3. Let o(b) = b**2 + 1158*b**3 - 10*b**2 - 5 - 2307*b**3 + 1167*b**3. Give -3*o(d) - 5*v(d).\nAnswer: -9*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 3*g - g**2 + 14 - 19 + 7. Let h be l(3). Suppose -h*j + j + 24 = 0. Is -1\/4 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-5 - -5) + (-5402)\/(-648). Let x = d - 7\/81. Find the common denominator of -40\/7 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of k**3\/3 - k**2\/2 - k + 3. Let b(s) be the first derivative of 3*s - 5\/3*s**3 + 2*s**2 + 1. What is -b(i) - 4*l(i)?\nAnswer: i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25*-53948.\nAnswer: -1348700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**4\/3 - 28*i**3\/3 + 163*i**2 + 780*i.\nAnswer: -i*(i - 15)*(i + 4)*(i + 39)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g + g + 42. Suppose -s = 5*q - g, -2*q + 228 = 4*s + 3*q. Suppose -5*b - 2*m = -3*m - s, -3*b - 5*m = -54. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/(-6)*(1 + 1). Which is the biggest value?  (a) 1  (b) y  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/363?  (a) 0.4  (b) 1  (c) -63  (d) 1\/2  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 31024, 62033, 93040, 124045?\nAnswer: 155048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 17 = g + 10, 3*o + 2 = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 11 = -7. Let q(d) = d + 1. Let c(f) = -3*f - 3. Let j(s) = c(s) + 2*q(s). What is j(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 65103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 - (0 + 2 + (-15)\/5). Suppose 5*q = 5*y - 140, 2*y - 3*q + t*q = 53. What is the greatest common factor of 31 and y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-9)\/(-297)*(-6 + -3). Is -2 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in twenty-one fifths of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + 1 - 1 - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -443125 divided by -443125\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 33 - 32.62. Let h = 5.78 - q. Let m = h + -0.4. What is the closest to 0 in 2, m, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17182 + -17187. Let k = 0 + -0.5. Let o = -1 + -1. What is the biggest value in k, l, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1962090 by 390.\nAnswer: 5031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 80 - 60. Let q be (28\/(-16))\/(5\/s)*-7. Calculate the highest common factor of q and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -245269515 divided by -81756505?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17 - 7 + 0)*(-2*x - 2*x + 3*x).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3447451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(2\/5)*i)**(-39)*i**13\/((i*i**0*i)\/i))**9 assuming i is positive.\nAnswer: i**(-1917\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 184*t**3 + 2*t + 5 - 133*t**3 - 5 in the form d*t**2 + f + q*t**3 + s*t and give q.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-1)\/(-2))\/((-1)\/10). Let j = f - -9. Suppose 7 = 5*i + 2*l - 0*l, 0 = -j*i + 5*l + 32. Solve -4 + i = n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 3*n - 6 = -3*v, 2*v = n - 6. Which is the closest to 5?  (a) v  (b) 2  (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the first derivative of -15*u**2\/2 - 4*u - 2. Find the first derivative of a(w) wrt w.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -497026.48 rounded to the nearest one hundred?\nAnswer: -497000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 125 = 3*m + 2*m, -3*j = 0. Solve 0 = r + 5*w + m, -4*r + 2*r - 14 = w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 185 divide 17379345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 392*r**5 + 12964*r**4 + 286441*r**3\/2 + 1063865*r**2\/2 + 74899*r\/2 + 1331\/2.\nAnswer: (r + 11)**3*(28*r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m = m - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -14*h**2*x**2 - 20489*h**2 - 244*x**2 - 14*x + 6 wrt h.\nAnswer: -28*h*x**2 - 40978*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(102)\/(1*sqrt(6)) - ((sqrt(187) + (sqrt(187) - (sqrt(187) + (1*sqrt(187) - sqrt(187)) + sqrt(187) - sqrt(187))))\/sqrt(11))**2.\nAnswer: -17 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sspg when four letters picked without replacement from vggssppvsppgpjgpggps?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -98, -2, 4, 1\/4, -5\/12?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 1. Let z(w) = 4*w**4 - 4*w**3 - 4*w**2 + 4*w + 24. Let l(q) = 24*x(q) - z(q). Determine u, given that l(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 304515252 by -4.\nAnswer: -76128813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5987957050?\nAnswer: 2, 5, 2111, 56731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22183871.\nAnswer: 491, 45181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 163969 is divided by 163902?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 + -4.5. Let g = -43064 + 43068. What is the second biggest value in -1, g, m, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-18)\/(-15))\/((-72864)\/(-3300) + -22).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/1003 in 0.08, 1, 1\/3, 15, 0.2, -2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1731008.7 months in years?\nAnswer: 144250.725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000076713407 rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 57739 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 215*j. Let g(d) = -1396*d + 1396*d - d**2. Calculate g(c(b)).\nAnswer: -46225*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 6 = 0, 3*q + 24*j - 20*j = -2208239976. Round q to the nearest 1000000.\nAnswer: -736000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 - -1. Suppose 0 = -i*k - 5*y - 2729975, -5*k - 4550015 = y - 4*y. Round k to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.01, 2\/53, -1\/17.\nAnswer: -1\/17, -0.01, 2\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13277 and 13345728?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**1\/z)\/z)**(1\/5)\/(z**(2\/3)\/z)**(-7\/3))**17 assuming z is positive.\nAnswer: z**(-748\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -99185460 divided by 6.\nAnswer: -16530910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1133378 (base 13) to base 11.\nAnswer: 2a94214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17 - 631*a + 17 + 3*a**3 - 5*a**3.\nAnswer: -2*a**3 - 631*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 27113 and 47785?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 111 + -111.1. Which is the second smallest value?  (a) -0.2  (b) -6  (c) 1  (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 207344 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 + 520?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -54*u + 51*u - 2955, -2*u - 2960 = -n. Does 54 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 - ((-96)\/224 - (4 + 288\/14)). Solve 14 - n = 14*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4602.53198 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1234, -2454, -3674, -4894, -6114, -7334?\nAnswer: -8554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2674 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -16844 to the nearest one hundred.\nAnswer: -16800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i + 3. Let u(y) = y**3 - 25*y**2 + 22*y + 50. Suppose 30 = 3*t - 42. Let q be u(t). Determine p(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**3 - 10*x**2 - 16*x + 4. Let q = -93 - -85. Determine m(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14161143 (base 8) to base 2.\nAnswer: 1100001110001001100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -12\/61  (b) 2  (c) -0.4  (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -l + 7*l - 8*l + 4*l**2.\nAnswer: 4*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (6 - 4) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 146111041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the third derivative of -d**8\/20160 + d**7\/5040 - d**5\/30 + 5*d**3\/3 - 83*d**2. Let x(m) be the third derivative of b(m). Factor x(w).\nAnswer: -w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*h + 15, 3*s - 83 = 5*h. Suppose s - 36 = 3*n. Let y(t) = -t**3 - 5*t**2. Calculate y(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 + 1.4. Let r be (3\/(-15))\/(-1 + 2). Which is the biggest value?  (a) r  (b) -3  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.761 + -2.77. Let f = 0.391 - o. Sort 2\/7, 0, 1, f.\nAnswer: 0, 2\/7, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 8 = -a, 4 = -0*a - a + 5*g. Let b(n) = -9*n**3 - 2*n - 2. Let v(y) = 36*y**3 + 9*y + 9. Determine a*b(p) - 2*v(p).\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 119776 and 4104.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ffll when four letters picked without replacement from llfllllllfllflll?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -132*x + 195 wrt x.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -0.3, 3\/5, -2.\nAnswer: -2, -0.3, -0.2, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 148513 is divided by 2553?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Does 158 divide 64081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 0, -0.1, 3, -2\/11, -90\/209?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (293 - 145 + 197*h - 147)*(7 - 1 + 0)*(-1 - 4 + 4) in the form t*h + m and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 b, and 1 i when three letters picked without replacement from niblpiap.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**3 + 8*d**2 + 39*d - 276. Calculate m(10).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, 0.01, 4, -2\/61, 1.\nAnswer: -2\/61, 0.01, 1\/4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*c**2 + 12*c**2 - 8*c**2 to f*c**2 + m + y*c and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 1095430 to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 24 - 24.1. Which is the closest to -2?  (a) g  (b) 4  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*c - 93*c**3 - 35*c - 39*c**3 + 3*c**2 + 61*c**3.\nAnswer: -71*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(-3)*2*321\/214. Suppose -4*n - 3*o = -12, -2*n + 31 - 11 = -l*o. Calculate the remainder when 10 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 113 - 94.4. Let k = -14.6 + f. What is the closest to k in 3, 0.4, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 18 - 5. Let u = 19 - -11. Let v be (-1)\/3 - (-400)\/u. What is the highest common divisor of v and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**(1\/3))**26*g*g*(g*(g\/(g*(g**10*g)\/g))\/g*g*g)\/g*g*g*(g**(3\/4)*g)\/g*g assuming g is positive.\nAnswer: g**(169\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/5, -1, 4, -3.\nAnswer: -3, -1, -1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 3. Let y(p) = -p + 16. Let t(i) = 11*u(i) - 2*y(i). Let d(g) = -g + 1. Suppose -5*x + 5*o = 15, -o = -0*x + 4*x - 8. Calculate x*d(v) + t(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**2 - 6*a - 5. Suppose 13 = 4*y - 19. Let p(q) = -q + 3. Let b be p(y). Let g be o(b). Solve g = -5*k + k + 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*g + 14 + 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60492651?\nAnswer: 3, 761, 26497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 5 - 1600*k - 4 + 1723*k + 1. Let j(a) = -3*a**2. Calculate j(w(z)).\nAnswer: -45387*z**2 - 1476*z - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -60?  (a) -4\/9  (b) 0  (c) -1\/15  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.01, -9, 0.5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**4*m)\/m**(-2\/27)*(m**(-1\/2))**(-2\/33)*(m**(1\/4))**(6\/23)\/((m\/(m\/(m**(1\/12)*m))*m)\/m**(-2\/17)) assuming m is positive.\nAnswer: m**(1378945\/464508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is (-16)\/80 - (-2043030)\/25 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -321 + 553. Calculate the remainder when 719 is divided by b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s*s*(s**(-18\/11)*s)\/s)*s)\/(s\/((s\/(s\/(((s\/(s*s**18*s*s))\/s)\/s)))\/s)) assuming s is positive.\nAnswer: s**(-246\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 133086431.\nAnswer: 19, 193, 36293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*p - 4*p - p**3 - 11*p + (-75*p**2 - 37*p**2 - 8*p**2)*(-2*p - p + 2*p).\nAnswer: 119*p**3 - 15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 + 2)*1\/(-2). Let g = j - -6. Suppose -4*z - g*l + 3 + 7 = 0, 3*z - 5*l - 25 = 0. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b in b**3\/8 - 288217*b**2\/8 + 20769997563*b\/8 - 394525914219\/8 = 0?\nAnswer: 19, 144099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and 585101.\nAnswer: 2340404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 5 = 0, -2 = 3*h - 2*z - 0. Let a = -1 + -2. Sort a, h, -2 in ascending order.\nAnswer: a, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002998449315 to four decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8655, 8657, 8659?\nAnswer: 8661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 175 and 182?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 2*v**2 + 89*v - 642. What is k(-51)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*o = -14*o - 180. What is the smallest common multiple of 52 and o?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (1376652\/(-3738))\/(-1 + (-40)\/(-42))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 42\/720*-6 - 2\/8. Which is greater: n or -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/6 and -43\/74478630.\nAnswer: 74478630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) + sqrt(85)\/(sqrt(25)\/sqrt(5)))*-1.\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7 - -8. Let p be ((5 - 1) + -8)*(y - 2). Suppose p*f - 65 = -2*h - 5, 0 = -5*h + 5*f + 75. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/(-16)*-3*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 less than 176267?\nAnswer: 176266.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.4?  (a) -0.07  (b) 1\/3  (c) -22  (d) 3  (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.5665351 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7274, 1749, -7458, -20347?\nAnswer: -36918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24372041?\nAnswer: 19, 1282739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/((-3)\/6*3). Suppose -f + 12 = -3*g - 3, 0 = c*f - 2*g - 30. Suppose -f*j - 18 + 66 = 0. What is the greatest common factor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -9672588 and 0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17819, -70207, -157167, -278699, -434803, -625479?\nAnswer: -850727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21126.\nAnswer: 2, 3, 7, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -87\/674 and -31\/448606312?\nAnswer: 448606312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -2. Let s(z) = -6*z. Let l(n) = -4*g(n) + s(n). Let j(h) = 5 + 2*h + 4 - 12. Let a(v) = -5*v + 4. Let b be a(3). Determine b*j(q) - 4*l(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = -3*w + 16, 6*w - z - 40 = 3*w. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -91836*u**2 + 4*u - 8. Let t(p) = -p. Let h be t(7). Let n be q(h). Round n to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1206663 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 0 + 4*i**2 + 2*i**4 - 6*i**2 to the form k*i**2 + m*i + s*i**3 + r*i**4 + j and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 46 - 46 - 4*z**2 + 5*z - 40*z - 46*z as m*z + t + x*z**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(55)\/(sqrt(5) - sqrt(180)))**2 - (sqrt(99) + -4 + (-2 + sqrt(99))**2).\nAnswer: -2464\/25 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4081*g - 232896 = 89503 for g.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/15682 in 0, 3\/7, 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -48*z - 727. Let f be k(-74). What is the greatest common factor of f and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 15, -18, -83, -174, -285?\n\"Answer: r**3 - 22*r**2 + 26*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**2. Let q(i) = -i**2 - 48 - 46 - 51. Calculate z(q(n)).\nAnswer: -n**4 - 290*n**2 - 21025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h**4 - 36651*h**3 + 659934*h**2 - 3960036*h + 7920504 = 0.\nAnswer: -36669, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**2 - 4*b. Let y be w(-4). Let i be (18096\/4140)\/((-2)\/5). Let t = i + 32\/3. Is t bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3 - 1) + 55\/(-20). Which is the nearest to 2?  (a) k  (b) 0.4  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 207*s - 675*s - 901 - 2843 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -2\/33, -240, -5, -16?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -345 - -2077\/6. Find the common denominator of p and -22\/17.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -20 - k + 23 + 9*k. Determine q(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/5 - 2513\/490 and 121\/266.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0 and 1.25.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*w + 6 - 6)*(-137*w + 76*w + 87*w) - 2*w**2 + w - w + w**2 - w + w + (w - 5*w + 3*w)*(w - 4*w + 5*w) to f*w**2 + i*w + c and give f.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -3*s - 3*s + 0*s + 0*s. Calculate z(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0011889 rounded to six dps?\nAnswer: 0.001189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**2 - 3*p**2 + 2*p**2 + p. Let v = 361 - 354. Suppose -f = -v - 0. Let a(k) = -3*k**2 + k. Determine f*g(h) - 5*a(h).\nAnswer: h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -216*z**2 - 47287*z**3 + 1 + 214*z**2 - 2*z + 47961*z**3 + z**4 as n*z**3 + w + k*z**4 + u*z + a*z**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5008206 is divided by 523.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -13*y - 23. Let d be t(-3). Suppose -12*n = d*n - 9128. What is the remainder when n is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the second derivative of -2*t + 0 + 1\/6*t**3 + 0*t**2. Let r(s) = -2*s. What is c(r(n))?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1963.\nAnswer: 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2 - (1 + 0)\/((-1)\/(-1)). Let h be r\/(-12)*-4*0. Solve 3*b - 17 = 4*d + 8, -d + b - 7 = h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 128*t - 2418. What is z(17)?\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, k: 2, p: 2, n: 1, u: 4}. Give prob of picking 1 u and 1 p.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the second derivative of -5*x**3\/6 - x**2 + 1506*x. Let z(j) = 10*j + 4. Give 7*d(c) + 3*z(c).\nAnswer: -5*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p + 7. Let u be t(4). What is the units digit of (4\/u)\/((-2)\/(-12))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + -3. Let s = -8260 - -8259.9. Which is the closest to s?  (a) 4  (b) x  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 3*v**2 - 314 - 266 + 580. Let d(h) = 418*h. What is b(d(u))?\nAnswer: 524172*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 264157215 by -12578915.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 5*k + 4*r, 3*k - 2*r - 6 - 10 = 0. What is the smallest common multiple of k and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.078704 to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-4)\/a**(-3\/7))\/((a*a**(1\/5))\/(a*a**(-1\/4)))*(a**(-1\/4)\/(a*a*a**(-3)*a))**12 assuming a is positive.\nAnswer: a**(-983\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*l - b + 7, 6*l + 302*b - 306*b = -18 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (3 + -14 - 7)*(-2)\/30\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 75972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the first derivative of -243*z - 297\/2*z**2 - 3\/4*z**4 + 89 - 19*z**3. Factor s(p).\nAnswer: -3*(p + 1)*(p + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 390 and 1935.\nAnswer: 50310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -14270 divided by 5\nAnswer: -2854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2332*v - 4*v**4 - 2338*v + 0*v**3 + 2*v**3 to the form g*v + d*v**4 + h + b*v**3 + n*v**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.1069 + -651.8931. Let k = c + 651.7945. What is k rounded to two dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 52*n - 13*n**2 - 4*n**2 - 52*n as s + i*n**2 + o*n and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -0*n + 9. Suppose -3*b + 1 = -b - 5*t, 4 = 4*t. Suppose 0 = 3*m - 6*m + b. Sort n, 5, m in descending order.\nAnswer: 5, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {y: 1, r: 17}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dbbaccaakcg. What is prob of sequence baa?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p**5 - 271*p**4 - 352*p**3 + 481*p**2 + 138*p = 0 for p.\nAnswer: -2, -1\/4, 0, 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 5, y: 4, l: 3, u: 1}. Give prob of sequence yfyu.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - (-8 + -7 + (41 - 14)) - 52.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11068 + 5332 = 80*s. What is the remainder when 216 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/4 - 10908\/(-48). Let w = v - 223. Solve 8 = -w*u + 3*m, -3*m = 3*u - 7 + 34 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*q = 15*q + 2601 + 292 - 253 for q.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) -2\/11  (c) -0.5  (d) -2112  (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -4\/9  (b) 519  (c) -4  (d) -884  (e) -4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 105331831 divided by 308891\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1055 + -1051. Suppose 0 = -3*u + 3*t - 1 + 4, 5*u - 6 = 4*t. Solve -k + h = u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1158262?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (90\/4095)\/(27\/(-189))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -38291045, -38291046, -38291047, -38291048?\n\"Answer: -j - 38291044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6*a*b**3*o*t - a*b**2*o*t - 104*a*b*o**2 + 3*a*o**2*t - a*t + 108*b**3*o**2*t - 1494*b**3*o*t wrt o.\nAnswer: -208*a*b + 6*a*t + 216*b**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12942*q**3 + 21351 - 21351.\nAnswer: -12942*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12*y**4 - 36*y**3 + 1344*y wrt y.\nAnswer: -144*y**2 - 216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -19*p**3 - 9*p + 9. Suppose 0 = 302*k - 292*k - 40. Let u(w) = 5*w**3 + 2*w - 2. Determine k*m(t) + 18*u(t).\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**2 + 6*u - 11. Suppose -12*c = -3*y - 16*c - 44, -4*c + 84 = -5*y. Let a be y\/(1\/((-14)\/4 + 4)). What is r(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 146 + -312. Let l = b + 237. Calculate the remainder when l is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**3 + 7*h**2 + 8*h + 4. Let a(k) = -k**3 + 3*k**2 + 4*k - 6. Let d be 2\/(4\/16*2). Let p be a(d). Calculate l(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes before 8:57 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1506866225.\nAnswer: 5, 61, 988109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -47 + 115. Let x = -36 + b. Suppose -2*d - x = -138. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Put together -0.4 and -0.0452.\nAnswer: -0.4452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -15*l - 14. Sort 3, l, 12, 5 in ascending order.\nAnswer: l, 3, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -101*g**3 + 102*g**3 - g**2 - 43 + 10 wrt g?\nAnswer: 3*g**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 7*o**2 + 181*o - 730. Calculate i(4).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/10 - 15\/(-25)*8. Suppose -6*c - 5*d - 86400 = -3*c, -a*c + 2*d = 144000. Round c to the nearest 1000.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*z**2 + 2*z**2 - z**2 to the form s*z**2 + c*z + y and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -524322 and 7935399?\nAnswer: 8459721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3, -13, -31, -63, -115, -193?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 49307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/9 in 7\/2, 1\/2, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - -2 - 1 - (-2 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 802*r + 50478. What is k(-63)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 17*a**2 - 97*a - 1501. Is o(-22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 110 - 223. Let v = c + 259\/2. Calculate the common denominator of v and 64\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 136968.\nAnswer: 2, 3, 13, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -552 divided by -3?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/(-50))\/(-1*(-2)\/(-5))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/2 of a millisecond in microseconds?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2778188715 to the power of 1\/2, to the nearest integer?\nAnswer: 52709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**3 + 8*b**2 + b + 4. What are the prime factors of l(-7)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8236 times 5?\nAnswer: 41180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the third derivative of d**10\/50400 - d**9\/20160 - d**5\/5 - 6*d**2. Let b(r) be the third derivative of n(r). Solve b(y) = 0 for y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i + 9*i - 18 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 14 + 19 = 3*a, 0 = -2*a + 4*y + 16. Suppose a = 5*i - 3*i. Suppose -3*t + 2*t + 3 = 0. Calculate the remainder when i is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i - 3*t + 18977, -i + 10*t + 3809 = 14*t. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(275) + sqrt(275) + 4 + 0)*-2 + -2)*2*3*-6)**2.\nAnswer: 518400*sqrt(11) + 5832000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*g**4 + 144*g**3 - 669*g**2 + 1044*g - 516 = 0. Calculate g.\nAnswer: 1, 2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the third derivative of 0*y - 2\/525*y**7 + 0 + 0*y**3 + 2*y**2 + 1\/300*y**6 + 0*y**4 + 0*y**5 + 1\/840*y**8. Factor p(d).\nAnswer: 2*d**3*(d - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.27 or 9?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*f**5\/5 + 1347*f**4\/5 + 2703*f**3\/5 + 1353*f**2\/5 = 0. What is f?\nAnswer: -1, 0, 451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 173 = 3*c + 176. Let d be (((-15)\/20)\/c)\/((-1)\/(-4)). Solve 15 = 4*n + t + 3, n - d*t - 3 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(0 + (sqrt(1331) - (4*sqrt(1331) + -3)**2 - (3*(sqrt(1331) + 1))**2)*5*6).\nAnswer: -1997580 + 4620*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, 7, 1816.\nAnswer: -11, 7, 1816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nns when three letters picked without replacement from {e: 4, w: 4, n: 3, k: 2, p: 1, s: 3}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -136, -1, -11, -9 in decreasing order.\nAnswer: 5, -1, -9, -11, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-530)\/477)\/(10\/15)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*h + 4 = -s + 2*h, -5*s + h + 1 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*c = 33*c - 11*c. Solve b - 5*b - 12 = c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.03?  (a) 5  (b) 0.2  (c) 1.919\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qaqqaqwggwauugq. What is prob of picking 1 u, 2 g, and 1 a?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 1329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = q + 20. Let f be (56\/q)\/((-6)\/(-15)). Calculate the greatest common divisor of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -i**5\/4 + 6*i**4 + 455*i**3\/2 + 408*i**2 - 2565*i\/4 = 0.\nAnswer: -19, -3, 0, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 413 = 4*x - 2*w, -3*x + 336 = 3*w. Calculate the remainder when x is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-12)\/27)\/((-46)\/207). Suppose -l*i = 2*i - 6*i. Factor -4\/3*f**2 + i*f + 0*f**3 + 0 + 1\/3*f**4.\nAnswer: f**2*(f - 2)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -2*j + 6, 0 = 5*j - 0*u + 3*u - 29. Let y = -4 + j. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64093 is divided by 2354.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 56982.9 millimeters?\nAnswer: 56982900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1785 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.06  (b) -1\/2  (c) -0.2  (d) -22  (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 205*g**3 - 28*g**2 - 22*g - 82. Is b(17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 831227230 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4 - 2)*5\/(-15). Suppose -646 = -4*z - 3*q + 1259, i*z - 985 = 5*q. Let l be ((-1)\/(-2))\/(8\/z). What is the greatest common factor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1149200454 divided by -3.\nAnswer: -383066818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 168 - 97. Suppose 8*w - m = 57. What is the greatest common divisor of 4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 5*t**2 + 268*t - 281. Give k(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 27\/4 of a microgram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 301224645 and 730.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 0, 9, -10, 68 in ascending order.\nAnswer: -10, -3, 0, 9, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**2 - 4*j - 2 + 1 - 2*j**2 - 3*j. Calculate s(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 34 + 2. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 332 + -434. Let s = c - -153. Calculate the smallest common multiple of 102 and s.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2283884, -2283922, -2283986, -2284076, -2284192, -2284334?\nAnswer: -2284502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.21 - 0.21. Let o = -246 + 251. Which is the biggest value?  (a) -0.5  (b) m  (c) 2  (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 5 + -2 + -2 - -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -d**3 - 308*d + 0*d**3 + 3*d**2 + 306*d to the form o*d + g*d**3 + u*d**2 + b and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/6 + 8664\/16. Suppose -5*h = 3*m - a, 3*m + 4*h + 189 = 725. Suppose 0 = 3*q - 7*q + m. Calculate the remainder when q is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -435*u + 133 = -416*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zp when two letters picked without replacement from {z: 2, y: 2, h: 1, l: 4, p: 5}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27590864.\nAnswer: 2, 7, 17, 43, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 356*i = 298*i + 2007818 - 737560. What are the prime factors of i?\nAnswer: 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -13*j - 23. Let i(y) = 27*y + 45. Let v(w) = -5*d(w) - 2*i(w). Is v(24) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 8a5a + -2?\nAnswer: 8a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10 - 12. What is the closest to -3 in 2\/3, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2*d**2 - 3 + (-d + 0*d - d)*(4*d + 0*d - 2*d))*(0*d - 2*d + d)*(1 - 5 + 1).\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1503.3396465 rounded to the nearest ten?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 4*t + 24 - 14 = 0, 2*t - 16 = 5*r. Calculate the common denominator of -9\/1564 and r\/(-3) + (-14404)\/312.\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the second derivative of -13*y**3\/3 - 3*y**2 - y. Let q be -4 + 0 - -8 - 11. What are the prime factors of s(q)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1581.\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -955, -1399, -1843, -2287, -2731, -3175?\n\"Answer: -444*t - 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 172 - 152 = 5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 5 = 0, 0 = -l + 5*l - 5*i - 53. What is the remainder when 18 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -2*n - 17. Suppose 7*h = -14*h + 42. Let x(s) = -180*s**2 + 101*s**h + 81*s**2. What is x(w(o))?\nAnswer: 8*o**2 + 136*o + 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 4*k + 17, r = -4*r - 4*k + 13. Suppose -r*w = 31 - 51. Solve 0*c - w = -4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -6*a + 28. Let c be z(4). Suppose c*w = -n - 2 - 18, 20 = -4*w. Which is smaller: n or -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6\/5 - 7\/6. Let w(n) be the second derivative of 0 + 0*n**2 + u*n**6 + 0*n**3 - 5*n + 1\/12*n**4 - 1\/10*n**5. Determine k, given that w(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qjjjjqqjqqqqqjjqjjj. Give prob of picking 3 j.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 119 and 68.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/6 - (-4)\/(-6). What is the remainder when (p - 4)*(-4 + -2) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5\/2 - 5\/4*u + 5\/2*u**2 + 5\/4*u**3.\nAnswer: 5*(u - 1)*(u + 1)*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*x = 15*x. Let l(h) be the second derivative of 1\/6*h**3 - 1\/10*h**5 + x + 0*h**4 - 3*h + 0*h**2. Find the second derivative of l(j) wrt j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29855.29ug in grams?\nAnswer: 0.02985529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 8 = 2*j, 0 = 3*j - 3*n - 5 - 7. Which is the nearest to 4?  (a) -1\/12  (b) 0  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 118 a factor of 308321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the third derivative of 11*l**7\/42 + l**4\/8 - l**3\/2 - 3*l**2 - 5. What is the second derivative of r(q) wrt q?\nAnswer: 660*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -4*s**2 + 12*s + 24. Let v be b(4). List the prime factors of 2 - -1 - -1864 - 32\/v.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -25125.\nAnswer: -1\/25125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1\/3)*t**(-3))**(38\/3)\/(t**(-1\/4)*t**(6\/11))**16 assuming t is positive.\nAnswer: t**(-4648\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000975887349 rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 4*r - 337 = 391, -3*d + r = -1127. Suppose -3*x + d = 2*y, -5*x - y = -4*y - 617. What are the prime factors of x?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the second derivative of -y**4\/4 + 13*y. Let c(o) = -20*o. What is i(c(q))?\nAnswer: -1200*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes after 8:38 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5352, -11496, -17640?\nAnswer: -23784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -5  (b) 0  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 4410 = -5*j, 9*j + 3528 = 13*j + 4*q. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 174301481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -32807*o**3 - 16*o**2 - 12*o - 21 wrt o?\nAnswer: -196842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l + 9. Let i be v(-5). Let u be (8\/(-12))\/((-1)\/6). Find the second derivative of -5*t**2 - 2*t + 5*t**2 + i*t + 5*t**u wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1340 - 167 = -2*g + 5*w, -3*g = 4*w + 1794. Let p = -568 - g. What is the remainder when p is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y = -4654*z + 4658*z + 1, 0 = z + 13*y - 38 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 34328 and 2261970?\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 540 divided by 1142760\nAnswer: 9\/19046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 20 = 12. Suppose g = 2*w - 54. List the prime factors of w.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**2 + 35*v + 293. Let c be b(-7). Let j = 15.8 - 17. Sort 0.1, c, j in descending order.\nAnswer: 0.1, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.47337 rounded to 3 dps?\nAnswer: 0.473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand i - 3*i + 0*i + (-1 + 1 + 2*i)*(6 + 0 - 4) + 2*i + 1 - 1 + (0 + 2*i + 0)*(-7 + 1 + 1)*(-2 + 3 + 1) + (-19*i - 6*i - i)*(1 + 1 - 4).\nAnswer: 36*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 95*o - 20. Determine b(-2).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes before 8:54 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/24 + (-38)\/(-16))\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1960\/72 + (-4)\/18. Let x(s) be the first derivative of 4 + 28*s**2 - 6 - i*s**2. Let r(o) = -3*o. Determine r(x(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -604 - -7847\/13. Let n = a - -59\/52. What is the closest to 0.1 in 0.5, n, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**2 + 6*h - 3. Let s be w(-6). Let z = 2 - s. Solve 9 + 16 = z*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(39)\/(sqrt(3) + sqrt(12)\/sqrt(4)))**2 + 0).\nAnswer: -65\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that 3*q**2\/5 - 1002*q\/5 = 0.\nAnswer: 0, 334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -4*h + 3. Let s(k) = -3*k**2 + 4*k + 8. Let z be s(4). Let r = 34 + z. Solve -3*d = r + h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*z - 2265 = 172*z + 4743 + 4818 for z.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -26 + i**3 + 26 + 2*i - 5*i**4 as a*i**4 + x*i**2 + g + z*i**3 + w*i and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c\/(c\/(c\/(c\/(c*c**(-7\/10)*c)))))\/c**(-3\/11))\/(c*c**0\/c*c)**(3\/5) assuming c is positive.\nAnswer: c**(217\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5)\/225*-9)\/((127\/25)\/((-6)\/15)).\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((q\/(q**9\/q))\/q)\/q**0)\/((q\/(q\/(q*q**(-3\/7))))\/(q\/(q\/q**3))))**(-13\/6) assuming q is positive.\nAnswer: q**(169\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/(-4))\/((-12)\/49314). Let t = 2031 - v. Let p = t - -24. Which is greater: 3 or p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the third derivative of 33*a**2 + 0 + 0*a + 5*a**3 + 27\/8*a**4. Find the first derivative of w(i) wrt i.\nAnswer: 81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3707956 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21*1*6\/(-18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3017 - 296 = 3*m + 5*s, 3*m - 3*s = 2745. What is the highest common divisor of 600 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -8*418*(-9)\/72. Let s = 448 - z. What is the greatest common divisor of s and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 29791 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 124 + -83. Let t = n + -31. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56998*n - 123 = 57001*n - 15*s, -3*n + 2*s - 6 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-5)\/(-9)*15*12\/150. Is o at most 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -4*x + 18, 2*x - 5*m = x + 9. Solve x*u - 8 = -3*t + t, u + 4*t - 16 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 61068 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/(-56))\/((27390\/1680)\/(-83))?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*a - 28*a + 30*a + 120*a**2 - 34*a - 124*a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the second derivative of -2*l**7\/21 - l**6\/15 + l**5\/4 - 5*l**4\/12 + l**3\/3 - 29*l**2\/2 + 83*l + 23. What is the third derivative of i(a) wrt a?\nAnswer: -240*a**2 - 48*a + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -2*n - 5. Let w = -491 + 494. Let q(m) = 9 + 5 - 31 + 8 - 7*m + w*m. Calculate 11*o(i) - 6*q(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0\/((-9)\/(-3)) - -4. Suppose y = b, -d - 2*y + 26 = 2*d. Let i be (-2 - -1) + d\/2. Put -4, i, 1 in decreasing order.\nAnswer: i, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 42633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 502648\/12*-18*(-3)\/36?\nAnswer: 83, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.00359 and 1307.\nAnswer: -4.69213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**2 + d - 13. Let y be k(3). Let o = 15 + y. What is the remainder when ((-9 - -7)\/(2\/97))\/(-1) is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m + 5*q + 6, 2*m - 4*m - 3*q - 3 = 0. Let h be (-1 + 1)\/(-1 - -3). Solve m*o - 4*r + 13 = h, 2 = -0*o - 2*o + r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -971*a - 2495. Give x(-3).\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 28*d**2 + 2*d + 35. Is b(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate i**3 + 2732 with respect to i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -257457 + 3042?\nAnswer: -254415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18364215.\nAnswer: 3, 5, 1224281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -277, -301, -373, -517, -757, -1117, -1621?\nAnswer: -2293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 + 4246\nAnswer: 4246.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 421*p - 437*p - 2 + 775*p.\nAnswer: -83*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 297.052 - 302. Let o = a - -5.2. Let l = o + 0.018. Round l to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 32459.9 centuries?\nAnswer: 3245990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 59843 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(208)\/(sqrt(8)*-1))\/(sqrt(18)*4) + sqrt(39)\/(sqrt(3) - -2*sqrt(75))*1.\nAnswer: sqrt(13)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tk when two letters picked without replacement from tttkvvt?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -5 from -0.1377.\nAnswer: 4.8623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k = -2*c + 14, -71*k + 14 = -c + 66*k - 135*k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -1 + 8 - 3 + 5*l - l**2 + 0*l. Let v be 3 - (-1 + 0 + -2). Determine i(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 23 - 17 = -4*k, 3*k + 2*v = 44. Let q be (-14)\/(-6) - 5\/15. Suppose -q = w - 2*w. Solve 4*m = -5*u + k, -m + 1 = w*u - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n - n + i - 10 = 0, -4*i = -4*n + 32. Is ((-9)\/n + 22)*1 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:09 PM and 8:13 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5 + -232?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 50 + 31 - 90 - o**2 + 31. What is s(0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -9b7430 - 1?\nAnswer: -9b7431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9378219?\nAnswer: 3, 167, 18719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1238, -2478, -3718?\n\"Answer: -1240*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r, 1 o, and 1 z when four letters picked without replacement from {z: 1, q: 1, w: 4, r: 2, o: 1, k: 3}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -712832\/45 + 15840. What is the common denominator of q and 133\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 159432 less than 3.4?\nAnswer: -159428.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = 5*u - 21. Is ((-635)\/u)\/(3\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*h**2 - 73*h + 73*h.\nAnswer: 47*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 53 + -80. Let c be (-3)\/l*-1*1. Sort c, -1, -0.5.\nAnswer: -1, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 96.063 + -96. Let v = y + 1.937. Let n(l) = 3*l - 12. Let d be n(9). Is v greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1020 by -30.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.05?  (a) -11  (b) 2\/3  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 6073*n - 66817. Determine v(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4*3\/6 - 3. Let l be n + 0 + 1 - -5. Factor -2*z**3 - 6*z**5 + z + 3*z**l + 4*z**5.\nAnswer: z*(z - 1)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**3 - 34*b**2 + 6110*b + 8. Determine n(-97).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 119368 + -0.006773337.\nAnswer: 119367.993226663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and (-3 + (-1 - -2))\/(4\/(-10))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1853\/24 + -235\/3. Let n = p - -53\/40. Let h = -3.9 + -1.1. What is the closest to n in 2\/3, 0.3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 29.\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + -1. Let y = 101.5 + -76. Let p = 26 - y. What is the closest to f in -0.1, p, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -3*c**2 + 69. Let l(a) = 10*a**2 - 208. What is 4*l(k) + 14*o(k)?\nAnswer: -2*k**2 + 134","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 2*o**3 - 4*o**2 + 3*o - 5. Let q(n) = n**3 - 3*n**2 + 3*n - 4. What is -4*q(d) + 3*t(d)?\nAnswer: 2*d**3 - 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -0.04, -2775, 4, -1\/3, 0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1775047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 2 = a, 5*q - 4 = q + 2*a. Suppose q = -85*s + 84*s - 18. Let h be (-21)\/(-6) + (-9)\/s. Solve -g = -h + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 13*j. Let l(c) = 24*c + 1. Let f(y) = 6*l(y) - 11*w(y). Calculate f(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4607 and 306?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 3*c + 0*c = -15, 24 = -7*c + 19*c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 49429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.364356*255.\nAnswer: 92.91078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 680 is divided by 76.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.14904545 to 3 dps.\nAnswer: 0.149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 20\/(-13)*1*29*20\/2900\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 50*i - 4661. Calculate the remainder when 375 is divided by h(94).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -292 - -161. Let m = d - -152. Calculate the greatest common divisor of 147 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -3, -0.2, -0.22?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 8588*j - 40*j**2 + 13*j**2 - 8550*j - 41*j**2 + j**2 in the form v*j**2 + g + t*j and give t.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 346726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 0 - 3*u**2 + 2*u**2 + 3*u**3 + 1. Let h(o) = 6*o - 1. Let k be h(1). Suppose -2*b = k*y - 1, 2*y = -5*b + 1 - 9. Give p(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (5\/((-5)\/(-2)))\/((-14)\/(-69783)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*p**4 - 1 - 6*p**2 + 5*p**4 + 2*p**4 + 11*p**3 wrt p?\nAnswer: 72*p + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -3\/5, -2\/15, -4, -4.6, 31, 0.0615?\nAnswer: 0.0615","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t*t*t**(-1\/6)*t*t**(-17)*(t\/(t\/(t**11\/t)))\/(t*(t\/t**(-5\/3))\/t*t) assuming t is positive.\nAnswer: t**(-47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 47*w**5 + 195*w**4 + 2*w**3 + 25291*w**2.\nAnswer: 2820*w**2 + 4680*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1837175?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 56029 - -0.11.\nAnswer: 56029.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -166*z + 51*z + 50*z + 3 + 54*z.\nAnswer: -11*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*w + 3*w + 12 = 0. Suppose -2*u = 3*s - 3, -2*u + 4 = u + 5*s. Suppose -5*c + u = -22. Calculate the remainder when c is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1139495 is divided by 51795.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 0 - 8\/3*w + 25\/6*w**5 - 10\/3*w**4 + 40\/3*w**2 - 16*w**3 = 0.\nAnswer: -2, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29 - 453*m + 229*m + 227*m - 13.\nAnswer: 3*m + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -m**2 - 87*m*p**2 + 380*p**2 wrt m?\nAnswer: -2*m - 87*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that -5*n**2 + 24227225*n + 96908980 = 0.\nAnswer: -4, 4845449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 319 = 2*a - 2*j, 5*j + 800 = 5*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 269291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35728770 divided by -1155.\nAnswer: -30934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7506 divided by 58.\nAnswer: -3753\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(480)*-4 - sqrt(480)*6)\/(sqrt(40)\/(sqrt(4) - -2*(sqrt(4) - (sqrt(4) - sqrt(16)\/sqrt(4))))).\nAnswer: -120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + 2 + (-2 - -142). Suppose 2*o - 6 = 0, o - 4 = 4*d - 3*o. Suppose -3*x + 2*x - b + 16 = 0, 0 = d*b. Calculate the greatest common factor of i and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1674415 is divided by 54013.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 2*j + 48, -2*j + 3*j - 48 = -4*i. Suppose 0 = 4*q + 3*s + 5, -6*s = 3*q - s + i. Solve 0 = -k + q - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 17 - 13 = 0. Let t be (-1 - f)\/(5\/(-4) + 1). Let s(w) = 3*w**2 - 5*w - 2. Let d be s(5). Calculate the greatest common factor of t and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 3*z)*(-1 - 5 + 1) + (-2 + 6 - 3)*(3*z - 7*z - 5*z).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the third derivative of -q**8\/504 - 2*q**7\/315 + q**6\/180 + q**5\/45 + 20*q**2. Let j(y) = 0. What is y?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 times -16335869\nAnswer: -16335869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -230 - 3*l + 230.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 4693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 314901287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 607547.6l in millilitres?\nAnswer: 607547600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 15) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gjxxxkkkkvngxxnvxv. What is prob of picking 1 n, 1 v, and 1 k?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 8*p - 11. Suppose -5*k + k = -4*b - 32, 0 = -k + p*b + 13. Suppose 111 = k*c - 0*c. List the prime factors of c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that 4*l**2 - 7832*l + 139680 = 0.\nAnswer: 18, 1940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -1\/4  (b) -0.1  (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -17 + 22. Let n = 9930 + -9923. Suppose 3*q = q. Put n, u, 1, q in ascending order.\nAnswer: q, 1, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -118, -114, -110?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-20 + 10 - -6) + -5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1806.4 + -1806. Let f = 15897\/230 - 33\/46. Let b = f + -68. What is the nearest to b in -1, g, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -2\/5  (b) 12  (c) -15  (d) 43  (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -92, -244, -632, -1376, -2596, -4412?\n\"Answer: -20*u**3 + 2*u**2 - 18*u - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12352895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1061*f = 1077*f + 16 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 - 0?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -4*u - q, 5 = 3*u - q - 7. Suppose -u*d - 136333137 + 38533137 = 0. What is d rounded to the nearest 1000000?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.0437?  (a) -0.6  (b) 0.1  (c) 7.67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/33 and 73\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5535*t - 238 = -5569*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 321*l*w + 61*l wrt w?\nAnswer: 321*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3.01 and -4.04.\nAnswer: -7.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7846, -13033, -18220, -23407, -28594?\nAnswer: -33781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 930699.6 nanograms in micrograms?\nAnswer: 930.6996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) 1467  (c) -13  (d) -0.1  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, t: 1, u: 1, w: 5, j: 2}. Give prob of picking 1 w and 1 f.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6*3\/6 - 0. Suppose k*z + 2 = 5. Calculate the greatest common divisor of 4 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.5327 to 2 decimal places.\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*b - 4*b - 2*b**2 - b**2 + 2*b**2 + 0*b**2 + (b + 1 - 1)*(-4*b + 4*b - 2*b))*(-1969*b**2 + 243083*b - 243083*b).\nAnswer: 5907*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -46 + (43 - 20) + 11 + 4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -2*k - 2. Let f(g) = 175588*g**2. What is d(f(j))?\nAnswer: -351176*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u + 2*u - 3*s + 46 = 0, -24 = -3*u + 3*s. What is the remainder when (6\/(-9))\/(6\/(-171)) is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -199 + 160.5. What is q rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + 2. Factor u + 27*u**4 - 6*u**3 - 3*u**2 + 24*u**x + 9*u**3 + 12*u**2.\nAnswer: u*(3*u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20286446 to the power of 1\/2, to the nearest integer?\nAnswer: 4504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6344.74029 - -0.35971. What is y rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - ((-8 - -9) + -7)) + (-6 - -11) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 1 + 11 - 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are -3424\/193 and -19 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**3 - 24*v**2 - v - 20. Let f = -558 + 534. Let j be u(f). Factor 3\/2*k**j + 0 + 0*k**2 - 3\/2*k**3 + 0*k.\nAnswer: 3*k**3*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of ((-4)\/2 - -6) + 27\/((-135)\/(-40)) and ((-16)\/(-3))\/((-9)\/(-54)).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12315 - 12314.979306. What is x rounded to 4 dps?\nAnswer: 0.0207","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (-1 - 1 - 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1086465?\nAnswer: 3, 5, 72431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2682 and 5590778.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-20)\/45)\/(6\/(-27)). Suppose k*q = -2*u + 4, -2*q - 3*q = -4*u + 35. Suppose u*a - 211 = 19. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c\/c**(-6)))\/c**1)\/(c**(-1\/9)*c**(-7)\/c)*c*c**(-1)\/c*c**(-5)*(c\/c**(2\/7))\/(c*c\/(c**5\/c)) assuming c is positive.\nAnswer: c**(-137\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -381*v**5 + 420*v?\nAnswer: -7620*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 5 = -23. Let t = 13 + m. Let j(f) = -f**2 + 6*f + 2. Let w be j(t). Solve -n + 3*p = p + 1, 3*n - w = p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**3 - 297221*l**2 + 11887240*l.\nAnswer: l*(l - 297181)*(l - 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 543299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 151042105 (base 6) to base 9\nAnswer: 5802675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -3*p**3 + 97*p**2 - 32*p - 54. Calculate a(32).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (7\/11)\/(1092\/2808)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -12*a - 6. Let c(w) = -4*w - 2. Let f(g) = -11*c(g) + 4*u(g). Let n be f(2). Calculate the remainder when (-27)\/(-15) - 2\/n is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 20*(((-316)\/(-10) - -4) + -4). Let f = o - 410. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -8690445 - -1b?\nAnswer: -8690427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*x + 4 = 3*x + 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 - 12. Let z = 161 + -121. Let f = z - s. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3*(-3)\/24)\/((-3)\/2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**3 + 3*r**2 - r + 5. Let y be v(3). Let f(q) = -5*q - 7*q**y - 3*q**3 + 7*q**3 + 1 - 5*q**3 + 0*q**3. What is f(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1110 + -3123201?\nAnswer: -3122031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-7)\/m)\/m**11*(m\/m**7)\/m**(-4))**18 assuming m is positive.\nAnswer: m**(-378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31 (base 4) to base 2.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(-2 + sqrt(891) + sqrt(891) + -3 + -5*(sqrt(891) + 0 + sqrt(891))) + -1)*-1)**2 + 4.\nAnswer: 6912*sqrt(11) + 513476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-314)\/(-4) - (-5)\/10*1. Let i = d + -53. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 + 19351285725.\nAnswer: 19351285724.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7959628 millilitres to litres.\nAnswer: 0.0007959628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**0)**(-20\/7)*x*x**1*x**(-4)*x)\/(((x*x*x*x*x**1)\/((x**(1\/4)\/x)\/x*x))\/((x*x*x**(-1\/4)*x)\/x*x*x**(-2\/15)*x)) assuming x is positive.\nAnswer: x**(-47\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8822\/205847 or 0?\nAnswer: -8822\/205847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5 + -4. Let h = -9.2 - d. Suppose -2*p = 4*x, 5 = -2*p + 6*p + 3*x. Which is the closest to p?  (a) 0.1  (b) h  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*u**5 + 0*u**5 - u**5 + (u**4 + 3*u**4 - 3*u**4)*(u - 4 + 4) + 3*u**3 - 3*u**3 + u**5 - 19*u**5 - 20*u**5 + 8*u**4 + 37*u**5.\nAnswer: 2*u**5 + 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 8*h**3 + 6*h**2 - 6*h + 409. Let y(w) = 23*w**3 + 17*w**2 - 17*w + 1227. Determine -17*d(q) + 6*y(q).\nAnswer: 2*q**3 + 409","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15 - -16. Suppose 2*g + n - 7 = 0. Suppose -1\/2*a + 0 + 3*a**2 - 9\/2*a**g + 2*a**4 = 0. Calculate a.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, k: 1, o: 1, l: 1, e: 1}. Give prob of sequence oe.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -302 less than -0.66?\nAnswer: 301.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1130412 (base 5) to base 11.\nAnswer: -14638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -302 - 1230?\nAnswer: -2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-11) - (-2 + 4706\/110). Let v = q + 41. Which is the nearest to -1?  (a) 3  (b) 0  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-20)\/18 + 25\/225. Is 3*h\/9*-15297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*a**5 + 10*a**4 + 1588*a**3 - a**2 + 3*a + 143871 wrt a?\nAnswer: -360*a**2 + 240*a + 9528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 219414 + -130051. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 445055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1576859835484 and 3?\nAnswer: 1576859835481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t = -2*t + 1, 2*t = 5*x + 23 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r = -x + 15, 4*r + 110*x - 233*x + 869 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*f**2 + 4 + 1 - 5 - 3 to k*f + z*f**2 + i and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes before 8:28 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19 - 18 - 15)*(n**4 - 2*n**3 + 2*n**3).\nAnswer: -52*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 2*f + 2. Let s = -14 - -11. What is v(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -3*u - 2 - 1 + 8*u - u**2. Let j be h(4). Let f(n) = 2*n + 1. Let i be f(j). Solve q - i = -0*q, -3*z - 9 = -5*q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 913552674 a multiple of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000465 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -27563, -55102, -82641, -110180, -137719, -165258?\n\"Answer: -27539*d - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (5 - 16) + -14 + 25\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 56613 at most 56613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, 7339, -946, -3\/2?\nAnswer: -946","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -4*b + 742. Let s(f) = 6*f - 1113. Calculate 7*m(u) + 5*s(u).\nAnswer: 2*u - 371","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*x - 3*x - 3*x + (-12*x + 5*x + 0*x)*(2 - 2 - 3))*(-2*x - 7*x + 0*x + (11*x - 6*x - 2*x)*(-1 + 4 - 2)) as p*x + r + w*x**2 and give w.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 621 - 64. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5335 + -53239\/10. Let b = -2172735 - -15183251\/7. Let x = b + 3692. What is the common denominator of x and r?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13 + 7*l - 13 + (1 - l - 1)*(3 + 1 + 1) to the form n*l + r and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -44.6 + 21. Let r = k + 23.598522. What is r rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 - 1)\/((-6)\/(-6)). Is (m + 4)\/(-2)*-20 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the second derivative of 0*x**5 + 0*x**2 + 0 + 1\/42*x**7 + 0*x**6 - 2\/3*x**3 + 4*x + 0*x**4. Find the second derivative of d(l) wrt l.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 182086842 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 857*w + 6 = 854*w - 3*r, -5*w = 3*r + 14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 2 w, and 1 p when four letters picked without replacement from {d: 3, g: 2, t: 8, n: 1, p: 1, w: 2}?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1551470, 1551460, 1551444, 1551422, 1551394?\nAnswer: 1551360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 196 is divided by 93.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -883*u**4 - 4*u**3 - 10*u + 3856. Let x(m) = 442*m**4 + 2*m**3 + 4*m - 1926. Let y(t) = -2*f(t) - 5*x(t). Differentiate y(a) with respect to a.\nAnswer: -1776*a**3 - 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m + 5. Let z be w(-1). Suppose 228 = z*l - 0*l + 3*v, 5*l - 296 = -v. What is the remainder when l is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -10*r + 12. Let o(d) = d**2. Calculate m(o(c)).\nAnswer: -10*c**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (1580\/480)\/79*-9\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-26)\/(-20))\/((-156)\/(-78)))\/((-17)\/4 + 4).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 4*u**2 - 13. Let v(f) = -f**2 + 1. Let h(i) = m(i) + v(i). Let h(j) = 0. What is j?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 3*w + 3*q - 52 = 0, q - 4 = 0. Suppose 3*c - w = -2*c, -c - 48 = -4*s. Suppose 3*i + 4 = s. Solve 0 = 4*v - i*u + 5, 3*v + 2*u + 30 = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 5*y - 55 = -r, -4*r + 52 = -4*y. Let h(o) = 72*o - 9. Let s be h(r). Does 15 divide ((-1)\/(-3))\/(3\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 t when two letters picked without replacement from {v: 4, t: 6, b: 4, z: 1}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15.94 + 0.06. Let g = 17 - u. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -14 or -3360?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 452 and 214022.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 109841*r - 11909*r + 68651*r.\nAnswer: 166583*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is (219831\/5)\/((-90)\/(-150)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 19471, 38882, 58171, 77278, 96143, 114706?\n\"Answer: -10*g**3 - g**2 + 19484*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8 + 14. Let i = o + -6.0000004. What is i rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 52828165 + -64.\nAnswer: 52828101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 34476 + -68951\/2. Factor 6*l**3 - 49\/2 - 42*l - m*l**4 - 11*l**2.\nAnswer: -(l - 7)**2*(l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -0*z. Suppose z*q + 25 = 5*q. Let l = q - 2. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 7*s**3 + 3*s**2 - 14*s + 8. Let l be u(-5). Let h = -469 - l. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-45)\/6 + 2\/(-4). Let y = w + 3. What is the tens digit of 58\/5 - 2\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 498.1989 micrograms to milligrams.\nAnswer: 0.4981989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-180)\/(-264) - (5\/2)\/5\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 2*l**2 - 7*l - 6. Suppose 0 = 3*i + 5*t - 4, 71*t = -3*i + 72*t + 10. Calculate f(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 not equal to -14\/1625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(32\/4)*0\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -595, -4 in decreasing order.\nAnswer: -1, -4, -595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 3*o = -10, 0 = -4*z + z - 5*o - 12. Suppose 3*m = -2*q - 1 - z, 3*q - 14 = 4*m. Is (-1 - -195)*1\/q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 150033 (base 6) to base 12.\nAnswer: 8319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2\/17))**(1\/45) assuming p is positive.\nAnswer: p**(-2\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 4  (b) -0.1  (c) -2\/7  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -176, -187, -200, -215, -232, -251?\n\"Answer: -o**2 - 8*o - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/9090140 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**3 + 8*v**2 - 6*v - 5. Let r be q(7). Suppose a + 5*l - 289 = 0, 5*l = 3*a + r*l - 795. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4b4 - 47?\nAnswer: -4fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*y, 3*p + 3*y = 8*y + 21. Calculate the remainder when p is divided by 4\/(-16)*0 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the first derivative of -61*z**2\/2 + 5*z + 3595. Let u(n) = -41*n + 3. Calculate -5*q(m) + 8*u(m).\nAnswer: -23*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -864\/5 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -m**2 - 1 - m**4 - 18*m + 17*m + 2 + m**3 + 3*m**2 in the form b*m**3 + w*m**2 + g + q*m**4 + u*m and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1856*r**6 - 837*r**2 + 3*r wrt r.\nAnswer: -222720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -204 + 209. Solve i*x + 16 = -4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 100 + 375. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6.767 + -0.033. Let a = -7 - y. What is the biggest value in -0.5, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a century in years?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5210 and 4095?\nAnswer: 4266990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/40852  (b) -0.05  (c) 2\/13  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 241982070, 241982069, 241982068, 241982067, 241982066, 241982065?\nAnswer: 241982064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 2*x**2 - 1747*x + 82226. Give z(50).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-24)\/10*130\/(-39). Suppose -6*z + x*z + 55 = k, 4*k + z = 202. List the prime factors of k.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 3*l = 3351, -4*i + 21*l + 4447 = 18*l. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the first derivative of 7*r**4\/4 + 2*r**3 - 3*r + 105. Let q(p) = -p**3 - p**2. What is 6*q(j) + u(j)?\nAnswer: j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 41 and 0.068.\nAnswer: 2.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 35118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59112*n + 30485*n + 28628*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((sqrt(900) - (sqrt(900) - (sqrt(900) - (sqrt(900)*5 + sqrt(900))))) + sqrt(900)))\/(6*(sqrt(2) + (sqrt(128)\/sqrt(4) - sqrt(2)))*2).\nAnswer: 15*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**2 - 24*n + 11. Let d(r) = -r**3 + 10*r**2 + 10*r - 1. Let i be d(11). Is w(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 3*a - 3, a + v = 2*a. Let o = -6 - 2. Let r(m) = -2*m**3 + 2*m**2. Let x(n) = 5*n**3 - 5*n**2. Give a*x(h) + o*r(h).\nAnswer: h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4720, -4949, -5118, -5197, -5156, -4965, -4594, -4013?\nAnswer: -3192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 2*p - 990 = 0, 501 = j + 11*p - 7*p. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 x when two letters picked without replacement from {i: 3, x: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1915479988, -1915479987, -1915479986, -1915479985, -1915479984?\n\"Answer: c - 1915479989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -131 - -399. List the prime factors of q.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(133) - -4*sqrt(133))*2)\/(sqrt(70)\/(-3*sqrt(10))).\nAnswer: -120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -4*((-11 - 5)\/(-8))\/((-8)\/21467) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1\/(-4))\/((-9)\/108). Suppose -h*c + 4 + 11 = 0. Factor 1\/2*l**c - 1\/2*l**2 - 1\/2*l**3 + 1\/2*l**4 + 0*l + 0.\nAnswer: l**2*(l - 1)*(l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 82 = 4*r, 318*t - 322*t + 69 = 3*r. Calculate the smallest common multiple of r and 6\/(-4)*6*-1.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 31 + -84. Let z = 21 - i. Let n = -75 + z. Which is the third biggest value?  (a) n  (b) 4\/7  (c) 2  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000726572131 rounded to six dps?\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h\/(h*((h\/h**(-21))\/h)\/h))*h)\/(((h\/h**(-10))\/h)\/h)*(h\/h**(2\/5)*h)\/h*h\/(h\/(h**(1\/28)*h)) assuming h is positive.\nAnswer: h**(2049\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5128707 - 3228707. Round b to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -5*v**2 + 239*v - 2117. Calculate s(36).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**2 - 7*x + 15. Suppose -f - 4 = 4. Let z be (-25)\/2*f\/20. Let l be p(z). Solve 0 = 2*a - 3*v + 1 - 3, -10 = -l*a + 5*v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -2*t**3 + t**2 + 3*t + 3. Suppose -5*r - 512 = -3212. Let i(v) = 2*v**2 + r*v - 1077*v - 2*v**3 + 541*v + 4. Calculate -4*d(z) + 3*i(z).\nAnswer: 2*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 42 - 53 - (-1 + (1 - 7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0, 5, -4, 11, -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1742286324 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(162)*-1)\/(sqrt(72)\/(sqrt(32) + sqrt(8))) - (6*sqrt(198))\/(-5*sqrt(176))) + -1.\nAnswer: -81*sqrt(2)\/10 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in a**2 + a**2 - a**2 - 3*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y + 13*u + 120 = -9*y + 14*y, 5*y - 33 = -2*u + 129 for y.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 0 + 0)*(-4*s - 18 + 18) - 5*s + 5*s - s + s + 2*s - 4*s + (1 + 2 - 1)*(4*s - 5*s + 0*s) to the form f*s + b and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, -1, 113 in decreasing order.\nAnswer: 113, 19, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 4*j - 58, 2*h + 41 = 3*j + h. Let x(q) = 2*q + 6. Let d be x(-7). Let p = j + d. Solve 2*r = -v + 1, -3 = -v + p*r + 12 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 6*d + 6. Let g be h(-2). Let q(u) = 14*u**3 + 5*u**2 + 5*u + 10. Let b be q(-10). Is b\/(-68) + g\/51 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -4*c + 10. Let b be z(7). Let a be 5\/(-180) + 4\/b. Which is bigger: -0.2 or a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**3 - 343*c**2 - 12376*c - 12032.\nAnswer: (c - 376)*(c + 1)*(c + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -939*c**2 + 2*c**3 + 31*c + 937*c**2 - 93*c + (2*c + 0*c + 0*c)*(0*c**2 + 4*c**2 - 6*c**2) + c**3 - 4*c**2 + 4*c**2 + 5*c**3 - 3*c**3 + 0*c**3.\nAnswer: c**3 - 2*c**2 - 62*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -17) + 10636 + -10747\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 4) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 + 760312?\nAnswer: 760311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*z + 483 - 537 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 10921365 divided by -5?\nAnswer: -2184273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, -0.05, 2, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -130.85  (b) -3.8  (c) 1\/21  (d) 2\/7  (e) 0  (f) -1\/8  (g) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5434916 divided by -13.\nAnswer: 5434916\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -105*n**5 + 2*n**4 + 13*n**2 + 21 wrt n?\nAnswer: -6300*n**2 + 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 659*g - 2*g**2 - 46232 - 659*g - 255*g**3 + 46232 + 2*g**2.\nAnswer: -255*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -9*i. Let m(o) = -11*o**2. Calculate n(m(c)).\nAnswer: 99*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 4*r = -17, -4*i - 29 = 5*r - 2*r. Let b be ((-2)\/6)\/(i\/45). Suppose 3*o = -b*o + 150. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i - 2*l + 7, 2*i + 4*l = i + 13. Let j = -31 + 33. Put -0.5, i, j in decreasing order.\nAnswer: j, i, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3619 + 3623. Suppose s = -4*d + 1 + 39, 3*d = 3*s + 15. Let y = d + -4. Solve 0 = -3*p - y - h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 5*y. Let k be (-1)\/6 - (-3 + 172\/(-24)). Let q(d) = k - d - 17 - d + 7. Determine q(x(p)).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*u + 40 = 18*u. Let l = u + -5. Let i = 0 + 0. Solve -2*x + 3 + l = i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.7 - -0.6. Let c be 3\/(-6) - (-6)\/(-12). Let o be c\/5 - 3\/(-90). Sort -3, o, k in decreasing order.\nAnswer: k, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 - 33 = -8*w. Let x(z) = 9*z - 5. Let b be x(w). Suppose b*d = 29 + 23. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 278641, 278643, 278645, 278647, 278649?\nAnswer: 278651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 12 = 0, 2*y + 4*t = 3*t + 150. Let j = y - 32. Calculate the remainder when j is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.5  (b) -0.3  (c) 865\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -11411240 - 5?\nAnswer: -11411245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -300*k + 335*k + 12 = 747 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes after 6:20 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(80)*-3 - sqrt(10)\/(sqrt(4)\/sqrt(2)))**2 - (-1 + (3*sqrt(80) - sqrt(80)) + 5).\nAnswer: -5074 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**3 + 6*k**2 + 8*k - 5. Let l be w(7). Let o be 2\/(-1)*l\/(-8). Let s be 0\/2 - (-6)\/2. What is the nearest to 1 in -1\/3, s, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23 - ((10 - 4) + 47 + -26).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4534.76 - 4534.8. Let t(h) = h**3 + 4*h**2 - 6*h - 7. Let w be t(-5). Which is the smallest value?  (a) w  (b) i  (c) -0.2  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6126*a - 5*a**3 - 2 - 6133*a - 2*a**2 + 3 - a**2 - 5*a**3 + a**2 + (3*a - 3*a - a)*(-2 + 2*a**2 + 2).\nAnswer: -12*a**3 - 2*a**2 - 7*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2692707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 385216905?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 8?  (a) 0  (b) 45  (c) -3\/2  (d) 0.023\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**3 + 4*w**2 + w - 4. What is the smallest common multiple of c(-3) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 - -2a?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes before 8:32 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + -1*sqrt(243) - (-2 + sqrt(243)*1 + sqrt(243))) + 4)**2*-6.\nAnswer: -13128 + 324*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 22949 and 3897?\nAnswer: 206541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 8*q**2 - 2*q + 2. List the prime factors of y(2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6 - 17*t + 6 + 17*t + 4738*t**2 in the form k*t**2 + j*t + o and give k.\nAnswer: 4738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 91*l + 14228 + 13114 = -38*l - 312*l for l.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1022347910 - -0.1.\nAnswer: 1022347910.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 122 + -5?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8\/5 in 0.1, -3, -17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 18660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - -8) + 4 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 391 - 386. Suppose 3*k = s*v + 3733, 5*v = -5*k + 5842 + 433. List the prime factors of k.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1515644 is divided by 523?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4026.498nm to meters.\nAnswer: 0.000004026498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.3  (b) -133  (c) -0.0668  (d) -56  (e) -0.1  (f) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 + 2*k**2 + 4 + (0*k - 3*k + 5*k)*(3*k - 2*k - 4*k)*(-3 - 2 + 0).\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the third derivative of -c**5\/60 - 5*c**4\/24 - 2*c**3\/3 - 4*c**2. Let h be d(-4). Solve h = 2*z + 1 + 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 120419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*a**2 + 0*a**2 - 14*a**2 + 2*a**2 - 3*a**2 + 4*a**2 + (a + 2 - 2)*(5*a - 2*a - 4*a).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 629385856?\nAnswer: 2, 11, 40637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*w + 2*w + 0*w + (-2*w + 4*w - w)*(2 + 3 - 4) + (4*w - 3*w - 2*w + (-7 + 1 + 2)*(0 + 0 + 2*w) + 8 - 10*w - 8)*(-3 + 11 + 13).\nAnswer: -400*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 + 0)*(-204 - 184 + 94)*(-2*q - q + q).\nAnswer: -588*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00462977 rounded to 5 dps?\nAnswer: 0.00463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51 is divided by 37?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of n**5 - 4034567*n**3 - 126531*n**2 - 109*n wrt n?\nAnswer: 60*n**2 - 24207402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and -615516.\nAnswer: 3077580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*9*(-21)\/(-20 + 83).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -21*w**3 + 43*w**2 + 263*w + 14. What is the thousands digit of u(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3690 divided by 738\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 3*(-3)\/(63\/(-1))*((-1197)\/14)\/(-171)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4.429 * -2.\nAnswer: -8.858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the first derivative of -7*r**5\/5 - 5*r**3\/3 + 5. What is the third derivative of n(w) wrt w?\nAnswer: -168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 24797.08 to the nearest 10.\nAnswer: 24800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -3*l - 5. Calculate the remainder when f(-13) is divided by (1 + 2)\/(2\/6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 3*q = -27, -5*r + 6 + 4 = -2*q. Suppose -3*c + r*u = -5*c, -3 = -3*c - 5*u. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 83*j**3 - j**4 - 2 - 80*j**3 + 3*j - 4*j + 1 - j**4 - 1 + (-5*j**3 + j**3 + 2*j**3)*(-4 + j + 4) + 25*j**4 - 4*j**4 - 2*j**4.\nAnswer: 15*j**4 + 3*j**3 - j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the first derivative of 37*j**6\/6 + 13*j**5\/5 - j**4\/4 + 921*j**3 + 6935. What is the third derivative of p(q) wrt q?\nAnswer: 2220*q**2 + 312*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.1  (b) 46298  (c) 9.2  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -7*k**4 + 65*k**3 + 251*k**2 + 192*k - 26. Let d(h) = 5*h**4 - 43*h**3 - 167*h**2 - 128*h + 18. Let s(l) = -13*d(l) - 9*m(l). Factor s(n).\nAnswer: -2*n*(n + 1)*(n + 4)*(n + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54 is divided by 53.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 132751 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10173597 and 609?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 27271\/3262 + -34\/233. Find the common denominator of 1\/102 and c.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 115 + -111. Calculate the remainder when 23 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -61 - 51 + 14 - 12 - 2*n - 143 to j + k*n and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*f**2\/4 + 2850*f - 217745.\nAnswer: 5*(f - 74)*(f + 2354)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1187669043 to the nearest integer?\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -99 + 182. Let z = 431 - c. Suppose 5*h = h + 2*i + z, 0 = h - 2*i - 81. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 2*q**2 + 9*q + 5. Let k be r(-6). Let g = -32 + k. Let w = g - -22. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**12*i*i*i*i*i)\/i)\/(i\/i**(-12)))\/((i**0*i)\/i*i**(-3)) assuming i is positive.\nAnswer: i**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**2 - 18*x - 4. Give y(18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 + 45090.\nAnswer: 45089.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -34 - -71. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.7 + -3.7. Let t = -21.048536 + 0.048536. Which is the second smallest value?  (a) h  (b) 2\/7  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 876767 or 2630305\/3?\nAnswer: 876767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 36 = -3*r. Suppose 3*o - 3*s = 12, 0*o - s = o. Suppose -p + 62 = -u, 0 = 2*p - 3*p + o*u + 61. Calculate the greatest common factor of p and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 634919 and 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 3*l + 2*l. Suppose -a - 4*f - 28 = -3*a, 0 = -5*a + 3*f + 35. What is the smallest common multiple of (0 - 1) + (-1 - l) and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 118 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 78 + 4*f**3 - 161 - 74*f**3 + 83.\nAnswer: -70*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i\/(i*i**(1\/4)*i)))**(-8))**31 assuming i is positive.\nAnswer: i**(-558)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/2324550 and 32\/195.\nAnswer: 30219150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 141*a + 1453 - 1030 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the second derivative of -5*d - 1\/15*d**6 - 5\/2*d**4 + 7\/10*d**5 + 13\/3*d**3 - 4*d**2 + 4. Factor f(v).\nAnswer: -2*(v - 4)*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -946 - -946. Put l, -4, 12, -0.3 in ascending order.\nAnswer: -4, -0.3, l, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 246197\/9 + -27355. Factor -8\/3 + c*d**2 + 22\/9*d.\nAnswer: 2*(d - 1)*(d + 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -5, 4, -0.5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/2 + 5467\/(-378)*3. Which is greater: -46 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 11*r - 74. Let n be (7\/5)\/((49\/(-35))\/(-7)). Let s be i(n). Let g = 0.3 - -0.1. Which is the second smallest value?  (a) g  (b) 1\/3  (c) s  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 9*h + 15. Let f(m) = 13*m + 22. Let d(c) = -5*f(c) + 7*v(c). Let q(j) = 3*j + 8. Let o = 150 + -145. Calculate o*q(s) + 8*d(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z + 5*a - 4*a - 34, -4 = 4*z + 5*a. Let y(f) = 9*f - 11. Let d(j) = j - 1. Let b(k) = z*d(k) + y(k). Is b(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 232 - 218. Suppose q*o = 8*o - o. Factor o*g + 0 - 6\/7*g**2 + 2\/7*g**3.\nAnswer: 2*g**2*(g - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the first derivative of -c**3\/3 + 15*c**2\/2 + 3*c + 539. Let g(z) = -z - 1. Calculate 3*g(n) + m(n).\nAnswer: -n**2 + 12*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 186*a + 202*a - 387*a + 5*v = 17, -6*a + 20*a = 4*v - 58 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 22706241949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and -47?\nAnswer: 18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -25, -1, -9621, 2.\nAnswer: -9621, -25, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -86*c. Let x(u) be the second derivative of -2*u**3\/3 + 4963*u. What is x(k(o))?\nAnswer: 344*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from qdgdnod.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 43845569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/17, 103, -3\/4, -0.1 in ascending order.\nAnswer: -3\/4, -2\/17, -0.1, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 33679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*d + 83 + 109. Let v(u) = -u**3 + 25*u**2 - 24*u + 7. Let a be v(d). Solve 5 = a*q - 8*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 30c8 (base 16) to base 8\nAnswer: 30310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {y: 3, g: 13}?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24604 is divided by 547.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*c - 4*c - 4*c**3 + (3*c**2 - 3*c**2 - 2*c**2)*(-2*c + 2*c - c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10731 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 34 in -1\/112, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1339*w + 1550*w - 5064 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - v = 25, v + 4*v + 5 = 0. Let g(n) be the third derivative of n**4\/24 + 5*n**3\/2 - 5*n**2. What are the prime factors of g(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*u**2\/7 + 174*u\/7 - 2523\/7 = 0. Calculate u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(3\/4)*m**(3\/4) assuming m is positive.\nAnswer: m**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 3*l = 0. Suppose l*w = -5*w + 40. Let z be 1*-2*20\/w. What is the second biggest value in -3, z, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19140 + 3250 = -5*n. Is (-3 + (-1)\/(-1))*n\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/108 and 91\/3324.\nAnswer: 29916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 12 = 2*w, -5*b - 3*w + 869 = 0. Suppose 20*d = 24*d - b. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 72\/(-10)*(6\/(-45) - (-4)\/(-20)).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*z - 68242 + 123597 - 24744.\nAnswer: 2*z + 30611","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-30)\/(-20))\/(2\/4). Solve 2*d = 13 - k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-5)\/u)**(12\/11)\/(u**(-4))**(-4\/35))**(-6) assuming u is positive.\nAnswer: u**(16176\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.072086 + 0.072. Round d to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -3*s**2 - s + 2. Suppose 45*x = 49*x - 8. Let o(y) = 100 - 36 - 36 + x*y + 4*y**2 - 30. Let m be (-1)\/(-2) + (-5)\/(-2). Determine m*b(v) + 2*o(v).\nAnswer: -v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(1\/5)*r)**(-28) assuming r is positive.\nAnswer: r**(-168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -3*l**2. Let q(v) be the first derivative of 2*v**2 + 17. Give i(q(w)).\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1.141231008*0.5\nAnswer: 0.570615504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.12 in 7, 4, -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -533450.44 times -1?\nAnswer: 533450.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2, 6, 12, 20?\n\"Answer: g**2 + g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2117 + 1?\nAnswer: -2116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*i**2 + 0*i**2 + 0*i**2 + 0*i**2 to o + s*i + u*i**2 and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 182735 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 - 6)*(i**4 + 0*i**4 - 2*i**4) + (-4*i**2 - 2*i + 2*i)*(-i**2 - 4 + 4).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 629023?\nAnswer: 629023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3 and 24.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 513449 + 612631 = 12*t + 84*t. What are the prime factors of t?\nAnswer: 2, 3, 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 520712792 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*j - 10*j + 120. Solve 7*x - x = j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 24 and 1632?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -3 + (1 + 15 - 1). Suppose -d - 3*p - 22 = -2*d, 3*p = -l. Solve z - d = -5*j, 6*z - 2 = 3*z - j for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13454 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**2 + 8*d - 3. Let z be (-4)\/(-3)*(-45)\/6. Let t be (z\/(-4))\/(1\/2). Suppose t*r + 50 = 5*q + 10, 34 = -5*r - q. Calculate h(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -1088*q**2 - 7*q + 8. Let p(v) = 544*v**2 + 4*v - 5. Give -4*b(j) - 7*p(j).\nAnswer: 544*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 - -3.5. Let k(m) = 8*m + 36. Let y be k(-5). Let x = 4.6 - 0.6. What is the biggest value in y, d, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5731*n - 6283 = 5670*n. Calculate the greatest common divisor of 9476 and n.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 4 = 2*d, 3*k - 9 = -5*d - 41. Let y be (-17)\/(-4) + 1\/k. Suppose -1 + 305 = y*w. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 113 - 56 - 1966*x**2 + 987*x**2 + 965*x**2 - 57.\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -2*l**3 + 8*l**2 - 10*l - 12. Let o(x) = -x**2 + x + 1. What is -10*o(n) - t(n)?\nAnswer: 2*n**3 + 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2026 + 164108\/81. Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -63*b**5 + 7*b**4 + 10*b**2 - 7*b - 619 wrt b?\nAnswer: -1260*b**3 + 84*b**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -9 - 2 + 6*k - 4 + 7 wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -114*x**2 - 788*x + 15*x**2 + 788*x.\nAnswer: -99*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3, -72, 0.4, 1\/2, 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8 - 6. Suppose 416 = g*t - 6*t. What are the prime factors of ((-1)\/(-2))\/((-4)\/t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 2 - 2 + 2*o**2. Suppose -2*j + 132 = -114. Let t(c) = j*c - 123*c + 3*c**2. Calculate t(w(i)).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.79  (b) 4  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0.4, -3\/14, -0.02 in ascending order.\nAnswer: -3\/14, -0.02, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = i + 192. Calculate the remainder when i is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -2*j**3 - 5*j**2 + 13*j - 1. Let d be p(-6). Suppose -3*o + d = -u, 2*u = 3*o - u - 183. Calculate the highest common factor of 168 and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -474213153, 3, -4.\nAnswer: -474213153, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -250412 (base 6) in base 14?\nAnswer: -8128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -295, 1, 5, 2 in ascending order.\nAnswer: -295, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 93262 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -223*t = -240*t + 64090. What is the thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eg when two letters picked without replacement from {g: 1, z: 1, e: 2, h: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 73096*s**3 - 46288.\nAnswer: 219288*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * 675.55.\nAnswer: -135.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -4*g**4 - 420*g**3 + 4248*g**2 + 327456*g + 933120 = 0.\nAnswer: -108, -24, -3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (655\/(-262))\/((-10)\/(-24))*12\/(-81).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**2 + 11*f + 11. Let h be n(6). Suppose 5*g + 2*x = 2*g + h, 10 = 2*g - 3*x. Let z = -109 + 120. Calculate the greatest common factor of z and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 21*b**3 + 15*b**3 + 25*b**3 + 3*b**5 - 13*b**3 - 24*b**4.\nAnswer: 3*b**3*(b - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 273669194 to the nearest 10000.\nAnswer: 273670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of -17*u**4\/4 - u**3\/3 + u**2\/2 - 7272*u - 8274. Differentiate d(z) with respect to z.\nAnswer: -51*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -11635*h**3*t**2 + 95746*h**3 + h**2*t**4 - 1 wrt t?\nAnswer: -23270*h**3*t + 4*h**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1124 by -281.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*q + 0*q - q + (-q + q - 2*q)*(1 + 1 - 4) + (4 + 2*q - 4)*(934 - 3744 - 1551).\nAnswer: -8717*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -2\/7, -5\/2, 0, -46, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**2 + 6*w + 42. Let g be r(10). Let n(q) = 5*q**2 - 5*q**g + 2*q**2. Let l(d) = -d - 5*d + 5*d. Calculate n(l(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 192 and 3838038.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u - 12, 7 - 33 = -5*s + 3*u. Solve 2*l = s*l - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*-90.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3 - (-8)\/3)\/(2\/30). Sort 4, w, 1, 0.\nAnswer: w, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27641.07 at least as big as -0.18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 90*p**2 - 629*p + 1. Give q(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, x: 2, n: 1, s: 1, k: 2, d: 1}. Give prob of picking 2 x and 2 k.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -58895 and -4.6?\nAnswer: 270917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**2 - 25*v + 52. Give f(28).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 35, 14, -29, -100, -205, -350, -541?\n\"Answer: -i**3 - 5*i**2 + i + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -38.302 - 3.698. What is the biggest value in 0.4, y, 0.001?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 42 in -0.49, -0.08, -3, -3\/4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 18, -78, -308, -720, -1362, -2282?\n\"Answer: -8*g**3 - 19*g**2 + 17*g + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-3)\/x)\/x*x*(x\/(x**(1\/2)*x*x))\/x*x*(x\/(((x*x*x**(1\/6))\/x)\/x))**(-10))**29 assuming x is positive.\nAnswer: x**(-2407\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f + 2. Let h be w(-5). Let d = -14 + h. Let l(s) = -s**3 + 2*s - 6. Let u = 158 - 152. Let g(t) = -t**3 + 2*t - 7. Give d*l(n) + u*g(n).\nAnswer: n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*11.12\nAnswer: 5.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 22231 and 9?\nAnswer: 200079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the third derivative of o**4\/24 + o**3\/3 - o**2. Let h(k) = k + 2. Suppose -144 = -49*c + 13*c. Calculate c*n(a) - 5*h(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 87252563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.018395061 to 3 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2194 - -4625. Suppose u + 13669 = -i. What is i rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 377570 and 377570 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4 - -10*1) + -1. Let z(r) = -2 - r**2 + 3 + 7*r - r. Let k be z(i). Solve k*a - a = -c + 20, c + 2*a = 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -50948.9 to the nearest 10.\nAnswer: -50950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50723851120 + 50723851120 + 3*a**3 - 21*a**2.\nAnswer: 3*a**3 - 21*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 5*a + 1. Let u be v(1). Determine g, given that 5*g**3 + 11*g - 2*g**3 - 13*g - 7*g + u*g**2 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/2, -0.5, -331\/7, 13?\nAnswer: -331\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 6, 8379, -4, -1\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (67 - 1) + -61 + 3 + 9.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 26\/(-13) - (8 + -12 + 3). Which is smaller: -27\/172 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that 2*o**2\/9 + 4*o\/9 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -2*i**3 + 7*i**2 + 284*i - 907. Calculate a(3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**3 - 6*s**2 + 6*s. Let m be q(3). Let v(h) = 4*h + 46. Let t be v(m). Calculate the highest common divisor of t and 470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*s = 182 - 50. Calculate the common denominator of -109\/6 and -5 + (-62)\/s + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 1578, 3 in ascending order.\nAnswer: 3, 4, 1578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-15 - 7 - 35)*(3*p + 4*p - 3*p) - 4*p - 8 + 8 + (-2*p + 5*p - 5*p)*(-2 + 2 + 3) as u*p + r and give u.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 830658839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1\/6, -0.11 in ascending order.\nAnswer: -4, -1\/6, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5476 is divided by 568?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 86 - 33. Let a = -35 - l. Calculate the greatest common factor of 45 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 24024448?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jnnajlkkjjakjjjjqa. What is prob of picking 1 a, 1 n, and 1 j?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = 35*m - 38*m. Let w = m - 41. Which is smaller: -19 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1505 - -2686. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -15318 >= -15319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 37*m + 289. Determine l(-4).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52119 = -6613*i - 30546 - 23143 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -9731, -38927, -87589, -155717, -243311?\n\"Answer: -9733*f**2 + 3*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 95 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -14*u**5 - 690*u**4 - 8176*u**3 - 2280*u**2 = 0.\nAnswer: -30, -19, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2c - 47?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -15*o - 50. Let j be s(-3). Sort -2\/23, 5, j in descending order.\nAnswer: 5, -2\/23, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1013 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -13 + 2 + 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 4) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 208 and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - -206) + -2350 + 2263?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w - 6*u = -20, 18*w - 5*u = 24*w - 30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1292782 and 3995?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*k + 108, -57*p + 4*k - 268 - 104 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -56963 divided by -56963?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + 466 + 50. Suppose -4*b = -0*b - y. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -44889.089955 - -44889. Let z = s - -0.09. What is z rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -61216 or -0.08?\nAnswer: -61216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2371, -2379, -2387, -2395, -2403?\nAnswer: -2411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-19220)\/14 + 876\/924 + (-1)\/11. Put -0.3, 3, m in ascending order.\nAnswer: m, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (((-224)\/(-20))\/7)\/(4\/(-10)). Let c be 5*-1*(n\/(-10))\/1. Is (-789)\/c*4\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (44 - 21 - (139 + 3)) + 16?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7*f**2 - 5*f**2 - 25*f + 9*f**4 - 133*f**4 - 10*f wrt f.\nAnswer: -2976*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 5  (b) -4  (c) 0.3  (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b + z + 4113, 0 = -2*z - 7 + 1. What is the highest common factor of 60 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 4*m**3 + 6*m - 8*m**2 + 2*m**2 - 10 - 8*m**3 + 3*m**3. Suppose 15 = -5*i - 20. Calculate f(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8864415.\nAnswer: 3, 5, 7, 107, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 572 = t. Let v = t - 83. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 2 - 1)*(0 + 2 + 11)*(-4 + 2 + 0)*(-z - 1 + 1) as i*z + o and give i.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + 0*l + 5*g = -20, 4*l = 5*g - 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 2 - 6 + (4 - 5 - 1)*(-1 + 0 - 1))*(2*d**3 - d**3 - 2*d**3).\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4624)\/(-7) + 84\/(-147). Let a(o) = -o**3 - 2*o**2 - o - 2. Let f be a(-2). Suppose f = y + 4*y - u. List the prime factors of y.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*a - 6*a - 88 + 17*a + 11*a + 10 in the form g + c*a and give g.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -120 - -123. Suppose 4*b - j - 2 = 0, -2*b - 5 = j - m. Solve -4*t - 8 = -b*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 2*g**3\/13 - 50*g**2\/13 - 1762*g\/13 - 1710\/13 = 0.\nAnswer: -19, -1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ololdkkldlddkmsssolk. What is prob of sequence kkl?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -3*p**3 + p**2 + 3*p + 3. Let o be y(-1). Suppose 18 = -43*h + 52*h. Solve -h*v + 1 = -n, o*v + 9 = v + 5*n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 180, 243, 64, -477, -1500, -3125, -5472, -8661?\n\"Answer: -20*w**3 - w**2 + 206*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -7*s**3 + 357*s**2 + 7. Give w(51).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 + -6. Let f(t) = -t**3 - 8*t**2 + 8*t - 8. Let b be f(h). Solve -5*n + 3*n - 3*s + b = 0, -2*n + 3*s - 5 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 13*j**3 - 4*j**2 + 2*j + 11*j**3 + 0*j**3 + 1 - 12*j**3. Suppose -18 = 2*w - 11*w. Let t be c(w). Calculate the greatest common divisor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-5))\/(405*(-3)\/(-150))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1200 divided by -123.\nAnswer: -400\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -46*t**2 - 24*t**2 + 108*t**2 - 2. List the prime factors of n(3).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-50))\/((-1)\/(-5))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) 4  (c) -412  (d) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -59 + 58. Let f(o) = -4 - o + 3 + 2*o. Give f(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 18 - 19. Let h = v + 1.042. What is h rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1734338 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 6, x: 4}. What is prob of sequence hx?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*l**2 - 81*l - 3*l**2 - 8 + 22 - 8.\nAnswer: -6*l**2 - 81*l + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add together -35109 and 99.489394.\nAnswer: -35009.510606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.12 and -3.\nAnswer: 3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:26 AM and 10:22 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qdqddddqddddqd. What is prob of sequence dddq?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 157*l - 155*l - 166 = -5*j, -5*j + 154 = -2*l. Let r = -7 - -4. Put r, j, -4 in increasing order.\nAnswer: -4, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 732675.696 less than -0.051?\nAnswer: -732675.747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 160.98 - 161. Let t be 6\/16*(-8)\/(-6). Is r equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 53 + -27. Suppose 0 = 27*g - b*g - 95. What are the prime factors of g?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1186 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**4\/m*m**(-2\/53) assuming m is positive.\nAnswer: m**(157\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 977 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: Sort -5, -61, 3\/7 in decreasing order.\nAnswer: 3\/7, -5, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**3 - 4*u**2 + 2*u + 23. Let n be l(0). Suppose 81 + 57 = -n*c. Suppose 0 = -3*s - 12 - 12. Which is bigger: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -19.1000343 + 19.1. What is f rounded to six decimal places?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 128605801*u - 193604331?\nAnswer: 128605801","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-90)\/((-1620)\/(-18))*69\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/7 of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((90\/(-15))\/((-270)\/27))\/((-3)\/(-30))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 77*g + 211. Let f(k) = 37*k + 106. Suppose -23*s + 24*s + 2 = 0, -4*s - 73 = -5*y. Let h(p) = y*f(p) - 6*c(p). What is the derivative of h(i) wrt i?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9863*d**4 - 96*d**3 - 22545959*d**2.\nAnswer: -236712*d - 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -4522*u**3 - 6*u**2 - 32*u + 38. Give d(1).\nAnswer: -4522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + f**2 + (9 + 13 - 2)*(-10*f**2 + 14*f**2 + 0*f**2) - 10*f**2 + 12*f**2 - 8*f**2)*(-f + 3 - 3)*(3 - 1 - 4).\nAnswer: 150*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 16c + -71?\nAnswer: db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000999792 to six decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in 0.2, 0.31, -10, -0.2, -81?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 59 - 56. Suppose 0 = -l*z - x + 115, -4*z + 4*x + 175 = x. Solve -q + 2*f = -f - 16, 5*f = 5*q - z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 3*c**3 + 14*c**2 + 10*c - 15. Let k(s) = -7*s**3 - 29*s**2 - 20*s + 31. Let l(q) = -2*k(q) - 5*r(q). Let g be l(-11). Is 0 + (g\/2 - -18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (15 - 8) + -5 + 661. What is the highest common factor of o and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes after 2:38 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.6  (b) 0.127  (c) 0.5  (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3431 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.5  (b) 915  (c) -674\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l + 15. Let y = -24 - -49. What is the remainder when y is divided by p(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -33*j**3 - 5*j**2 + 5*j + 5. Let u(h) be the first derivative of -91*h**4 - 56*h**3\/3 + 28*h**2 + 56*h - 3179. Determine 56*c(d) - 5*u(d).\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -634 + 533. Which is the biggest value?  (a) 0  (b) -0.1  (c) r  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 - 22. Let r = f + 11. Which is the nearest to 1?  (a) 4  (b) r  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d + 25 + 59. Let v = d - 16. Which is smaller: v or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 489.5286 millilitres to litres.\nAnswer: 0.4895286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 670.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 380995960 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -604696, -1209276, -1813856, -2418436, -3023016?\nAnswer: -3627596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 9\/6842 and -69\/5477954?\nAnswer: 60257494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + m + 16 = 0, -w + 2*m + 41 = -6*w. Is 4\/6 + (-291)\/w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j = -q + 5, 2*q - j = 15 - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 24, 87, 188, 327, 504?\nAnswer: 719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4331 is divided by 2141.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:40 AM and 12:15 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11010111011110001100010 - -10110?\nAnswer: -11010111011110001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 802 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -630 = -43*n - 27*n. Solve -169*t + 166*t - n = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -90303\/277 + 326. Let n = q + -547\/1939. Let h = 4 + -6. Which is the third smallest value?  (a) h  (b) 1  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - -53 - (1 + -3).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1503*q + 5060 - 2159 + 3111 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 833 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -2\/613467?\nAnswer: -2\/613467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from pvhppph.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -15.77 + -0.23. Let p = s + 11. What is the biggest value in 1, 0.1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15713 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the third derivative of -r**6\/240 + 7*r**4\/24 - 3*r**2. Let j(p) be the second derivative of n(p). Let c(d) = 8*d - 6*d + 3 - 3. What is c(j(o))?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11 - -5) + 7 + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 20920895 less than or equal to 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -9*j - 5. Give r(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-21)\/(-21) - (-6 + 7). Solve j + 2\/9*m**3 + 4\/9*m**4 + 0*m**2 + 2\/9*m**5 + 0*m = 0 for m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 55 - 58. Let t(n) = 13*n**3 + 3*n**2 + 4*n - 2. Let o(p) = p**3 + p**2 + p - 1. Give w*o(s) + t(s).\nAnswer: 10*s**3 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 9*n = -96. Suppose 2*s - 2*t - 12 = 0, n + 11 = 4*s - 5*t. Suppose 5*b + 4*a + 127 = 382, 0 = -s*a + 15. What are the prime factors of b?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41344315?\nAnswer: 5, 8268863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3976 and 12334?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {y: 3, b: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2  (b) -368\/325  (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oxxo when four letters picked without replacement from {x: 6, o: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -103282589.9 rounded to the nearest ten thousand?\nAnswer: -103280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7975067?\nAnswer: 7975067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 19*d + 57. Calculate c(-8).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71 = -8*i - 121. Which is bigger: i or -49\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8\/14*((-220295397)\/58)\/(-67)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yppypyyyyy. Give prob of sequence pyy.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63130620 is divided by 46?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -73268 divided by -8085?\nAnswer: 73268\/8085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.753769 and 0.07.\nAnswer: -0.683769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2632, -3\/5, 5, 3\/7, -15.\nAnswer: -15, -3, -3\/5, 3\/7, 5, 2632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 15*k**2 - 2*k**2 + 4*k**2 - 2*k**2 + 2*k**2 + k**2 + (-2*k + k + 5*k)*(-k - 2*k - 2*k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(133)\/(sqrt(7)*-2*6))**2.\nAnswer: 19\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/8 and -73\/196.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 27 and 1191.\nAnswer: 10719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (20 + -14 + -11 - (-13 - 0)) + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2798, -11319, -25566, -45539, -71238, -102663, -139814?\nAnswer: -182691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -249349, -249349, -249347, -249343, -249337?\n\"Answer: g**2 - 3*g - 249347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(297)*-3)\/sqrt(9))\/(sqrt(11)*-1*4).\nAnswer: 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -1 - -0.1716\nAnswer: -0.8284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66 is divided by 41.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 0 - (-315 - -332)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 44858.448 milliseconds in hours?\nAnswer: 0.01246068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, f: 2, a: 1, c: 1, l: 2}. Give prob of picking 1 f and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1, 0, -7.\nAnswer: -7, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve t = -3*n - 126, n + 42646 - 42604 = t for n.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 4*t - 2*o - 94, t - 45 = -o. Suppose -5*j + t = -a, j = a + 33 - 7. What is the units digit of (-174)\/a + (-4)\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-696)\/14616)\/(3\/(-180)*-1).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kf when two letters picked without replacement from fkh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 928 + -912. What is the remainder when 94 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**3 + 6*t**2 + 5*t - 9. Let n be x(-4). Suppose -v - 5 = 5*w, 3*w + w + v = -4. Let o(l) = -19*l**3 - l. Let j be o(w). Solve j = -p - n*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7 <= -89470\/11259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qp when two letters picked without replacement from vqqvfqqfvqqpvpqfqqq?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -9*c + 74 + 12*c + c**2 - 5*c. What is the tens digit of f(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 225 + -192 - (0 + 37).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 5 + 4 + (5 + 1 - 5)*(50 - 17 - 8))*(3 + 3 - 4)*(81 - 81 - 3*m) in the form u + z*m and give z.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z + 72 = 10*z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 33.93535 micrometers?\nAnswer: 0.00000003393535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 50 and 1470?\nAnswer: 7350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 225341 (base 9) to base 7.\nAnswer: 1102003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 138*f + 2074. Let y be z(-15). Let l be 4\/2*(2 - 0). What is the first derivative of -2*r - 93*r**l + 70*r**4 - y + 2*r wrt r?\nAnswer: -92*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14.4999998 + -14.5. What is w rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + (sqrt(252) + 0 - sqrt(252)) - sqrt(252)) + 3)**2.\nAnswer: -48*sqrt(7) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**3 + 11*b**2 - 14*b + 10. Let x(o) = -5*o - 23. Let w be x(-12). Suppose -4*d - 2*p = 11 + 29, 5*d - 4*p + w = 0. Is k(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + a = -4*c + 92, -4*c - 3*a + 94 = 0. Calculate the greatest common factor of 55 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -10679*m**3 + 2*m**2 - 29*m - 29. List the prime factors of z(-1).\nAnswer: 11, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.208 to two dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 - g. Let n(q) = 136*q + 2*q**3 - 65*q - 70*q. Give 3*a(p) + 3*n(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8\/10*(-870)\/348. What is the nearest to x in -2, -10, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 99\/(-82566)*(-948)\/79.\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*r + 6*r + 48 = 0. Let w(s) = -s**3 + 15*s**2 - 15*s + 20. Let x be w(14). Suppose -h - x = -r. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12212 + -1010210?\nAnswer: -220221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(13)*-3 - (3*sqrt(1300))**2.\nAnswer: -11700 - 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 2 + 4)*((2 - 5 + 2)*(-2*w + 3*w - 2*w) - 3*w + 2*w + 5*w).\nAnswer: 50*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 5 = -w. Let q = -3 + w. Suppose -4*c = -3*c. Sort 2, q, c in decreasing order.\nAnswer: 2, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i - 4*i + 6*i + (-8*i - 9*i - 9*i)*(-1 - 2 + 1))*(2*i**2 - 5*i**2 + 7*i**2).\nAnswer: 224*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000728611803 to 7 dps.\nAnswer: 0.0000729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 less than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 5*m - 2 = 0, 3*m = -5*g + 5*m - 16. Let p = 0 - g. Suppose 0*r - 2*r = -0*r. Put 2, p, r in descending order.\nAnswer: p, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*y**2 + 4*y**2 + 13*y**2.\nAnswer: 17*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/8*8\/(224\/(-12)).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i = -i - 30. Let f(g) = -g + 14. Determine f(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**2\/2 + 29*d\/2 + 1975.\nAnswer: -(d - 79)*(d + 50)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 + 83 = 3*n. Calculate the remainder when 106 is divided by n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -4*h + 26, 3*v + h + h + 7 = 0. What are the prime factors of ((-4)\/v)\/((-1)\/(-25))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14853603?\nAnswer: 3, 41, 197, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18 - 17. Let d(l) = s - 80*l + 81*l - 1. Let c(y) = -36*y + 9. Let a(f) = 9*f - 2. Let o(w) = 9*a(w) + 2*c(w). Determine o(d(q)).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 62 and -0.3?\nAnswer: -18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5156?\nAnswer: 2, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -158206, -316404, -474586, -632752, -790902, -949036, -1107154?\n\"Answer: 8*m**2 - 158222*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f**3 - 4*f**3 + 5*f**3)*(-9082*f + 4620 - 2313 - 2307).\nAnswer: 9082*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 0*u = -3*u - 32, -4*u = 4*s. Suppose a - s*a = 27. Let r = 31 - a. Calculate the highest common divisor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the third derivative of g**5\/20 - 3*g**2. Let j(r) = -2*r - 5. Let z(h) = -3*h - 7. Let u(n) = -7*j(n) + 5*z(n). Calculate s(u(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 88293.\nAnswer: 3, 19, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the first derivative of -r + 1\/2*r**2 - 45. Let w(m) = -6*m + 5. Determine 10*o(y) + 2*w(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times 7431?\nAnswer: -37155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + v = 0, 4*v - 11 = -3*z + 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 3 = 5*o, -o + 43*q = 44*q - 3. Sort o, 3, -1\/3, -16.\nAnswer: -16, -1\/3, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.3 + -1.138. Let b = -4.712 - -4.6. Let m = g + b. Which is bigger: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -451 (base 6) in base 15?\nAnswer: -ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 0 + 3)*(u**5 - 4*u**5 + 0*u**5) + 2*u**5 + 3*u**5 - 2*u**5 + 0*u**4 - u**5 + 0*u**4.\nAnswer: 5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5970*v + 160905 + 12225 = 0 for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 204180 + -140?\nAnswer: 204040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (137 - 143) + 1 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) 22  (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x + 1. Let k(w) = -7*w - 8. Let l(q) = -k(q) - 5*u(q). Let v(d) = -4*d - 5. Determine -7*l(j) - 4*v(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 340973*k + 4886. Let y(a) = 698*a + 10. Let p(z) = -5*r(z) + 2443*y(z). What is the hundreds digit of p(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes before 2:25 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(64) - sqrt(64)*1)\/(sqrt(968) - -2*sqrt(968)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 35299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4 + 6)\/((-4)\/(-18)). Let o be (-24 - (5 + -8))*1. Let f = 30 + o. What is the highest common divisor of f and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -4 - -2622 - (-1 + (1 - 1)). Let s = -1181 + b. What are the prime factors of s?\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**3 + 9440*p**2 + 7389492*p - 79634945808.\nAnswer: (p - 2308)*(p + 5874)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3\/5  (b) -0.4  (c) 2601\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**2. Let v(h) = -3*h - 93. Calculate v(j(x)).\nAnswer: 3*x**2 - 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -254557 - 28?\nAnswer: -254586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 103\/2 + -341\/8. Calculate the common denominator of m and -81\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**3 - 31*h**2 + 951*h + 86. Calculate i(-50).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.007943*-4825.\nAnswer: 38.324975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 14, i: 4}. What is prob of sequence it?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*p + 260 - 290 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -23*x + 12*x - 11 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3 + -1 - -15)\/(-1). Sort 3, f, -2 in decreasing order.\nAnswer: 3, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-15 - 704\/(-48))*-201. Solve -88*b = -n*b + 105 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*w**3 + 26*w**3 + 15*w**3.\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in fifty-seven fifths of a microgram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -w + 4*i, 6*w - 5*i + 30 = 11*w. Let b(d) = -4*d**2 + 4*d + 6. Let l(z) = 3*z**2 - 2 + 4 - 4*z**2 + z. Give w*b(o) - 7*l(o).\nAnswer: -o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 2*t = -12. Solve 0 = -3*w + 4*g + 8, -t*g - 23 = 4*w + 13 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 98760065 to the power of 1\/2, to the nearest integer?\nAnswer: 9938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13166594 divided by 12.\nAnswer: 6583297\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 2*u**2 - 5*u + 2*u + 2*u**3 - u**3 + 1. Suppose r - q + 8 = 0, 2*q + 0 - 10 = 0. Let f be s(r). What is the greatest common divisor of 4 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x*x**(2\/7)\/x)**(-1\/6)\/(x\/x**12*x\/x**(-2\/9)))**(5\/6) assuming x is positive.\nAnswer: x**(6025\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = m + o - 3*o, -3*m + 21 = -4*o. Let f be (-4)\/14 - m\/(-21)*23. Solve 3*t + 22 = -f*u + 1, -u = -3*t - 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(132))\/sqrt(4))\/(sqrt(27)\/(sqrt(36)\/sqrt(4))).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-3\/5)\/(o\/(o*o**(-2\/9)*o*o)))**(-24))**9 assuming o is positive.\nAnswer: o**(-1272\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 4*s - 8. Let t(p) = 8*p + 1. What is the smallest common multiple of t(1) and i(4)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 59*d - 1 - 5*d**3 - 66*d + d**4 + 5*d**3 as o*d + q + b*d**3 + s*d**2 + m*d**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/5 + (-88)\/(-440) + 8. Let a = 32 + 4. Calculate the greatest common divisor of i and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*r**2 + 3*r + 3 - 72*r**3 + 146*r**3 - 17*r**4 - 77*r**3 to l + y*r**3 + c*r**2 + n*r + m*r**4 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*j**4 - 5*j**3 - 6713*j - 6975637 with respect to j.\nAnswer: -12*j**3 - 15*j**2 - 6713","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 192 a factor of 17209887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/2 - (-74)\/(-6))*2733\/(-1822).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 1329172320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 27*n - 87. Let l be w(-8). Let t = 369 + l. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40233.6655 rounded to the nearest 10?\nAnswer: 40230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 2, -3*l = -6*l - 5*t + 22. Let u be 4\/((l - 2)*1). Suppose 5*w - 9 = u*w. Solve 0 = -0*n + w*n + 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 955490 and 910?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*j - 2*l - 30 = -2*j, 3*l = 4*j + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/5 of a centimeter in millimeters?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 49986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -2  (b) -15  (c) 1  (d) -0.023\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 218788620 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 1.66419 minutes?\nAnswer: 0.0011556875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -50*l**2 - 6*l - 7. Let w(i) = -51*i**2 - 4*i - 13. What is 2*g(x) - 3*w(x)?\nAnswer: 53*x**2 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(1\/3)\/s)\/s**(2\/63))\/((s\/(s\/s**(-1)))\/(s*s\/((s*s**(3\/5))\/s)*s)) assuming s is positive.\nAnswer: s**(851\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 1\/4  (b) -5  (c) 9938\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 56057170 to the nearest integer?\nAnswer: 7487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f + 6 - 0. Let d be ((2 + -1)*0)\/1. Let j be (-4)\/f - d\/6. Solve 5*z = -0*z + j*y + 28, -5*z + 8 = 3*y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 356568 and 2.\nAnswer: 356568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*z + 22*z - 5*u = -25, 10 = -5*z + 2*u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 942544 is divided by 157088?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 9 + 2 + 5 + 3 + -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k - 14. Let c be p(-11). Let w be (1 - 15\/c) + -3. Sort -3, -5, w in descending order.\nAnswer: w, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 20695151025.99999691 - 20695150931. Let d = 95 - j. What is d rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*y**2 - 4944*y - 78592 = 0. Calculate y.\nAnswer: -2456, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q - q - 55 = 0. Let c be 6\/33 + 108\/q. Suppose -6 = -3*o - 4*g + 4, 3*o + g = 25. What is the highest common divisor of c and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 2*u + 1. Let h(b) = -6*b - 2. Let r(o) = -3*h(o) - 8*x(o). Calculate r(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 151.5 + -163. Let d = a + -43.5. Is -0.1 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2659 is divided by 242?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/11, 23, 3, 1777, -1\/18 in descending order.\nAnswer: 1777, 23, 3, -1\/18, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -0.13, -3, 1\/671, 6?\nAnswer: 1\/671","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1232 and 352.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*o + 33*o + 44 = 0. Suppose y - o = 6*k - 5*k, 3*k + 12 = 0. Calculate the greatest common factor of 126 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8.3 - -8. Let z = -3 + 3.1. Let f = 0.3 - z. Which is the biggest value?  (a) j  (b) 2\/11  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26542.19 rounded to the nearest 10?\nAnswer: 26540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - (-11 + (-1 + -18 - -16)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes after 6:47 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 126917415 a multiple of 3768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13402021\/1116 + -12009. Calculate the common denominator of a and 53\/9.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -29792.33 - -29793. Let d = 2567\/56 - 1381539\/29848. Let p = 12\/41 + d. Put 2, p, m in descending order.\nAnswer: 2, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 take away -3855.66063?\nAnswer: 3834.66063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) 7  (c) -374\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k + 1 = -2*m, -24*k + 29*k + 2*m + 3 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16, -15, -14?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -11*u**2 + 41*u - 12. Let w(x) = 4*x**2 - 14*x + 4. Let b(z) = 3*f(z) + 8*w(z). What is b(8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + 1420424230?\nAnswer: 1420424224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 10065 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 7*d**3 + 26724*d**2 + 21490988*d - 6142464 = 0.\nAnswer: -2666, -1152, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 89972.\nAnswer: 2, 83, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -4*k. Let n(v) = -7*v**2. Calculate t(n(a)).\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 186*d**3*n**4 + 5237*d**3 + d**2*n**4 wrt n.\nAnswer: 744*d**3*n**3 + 4*d**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/d**(1\/4)*d**0*(d**(1\/4)\/d)**(-2\/45)*(d**(-2\/5))**(-27)*d*d**(-1\/2)*d*d**(-3\/8)*d assuming d is positive.\nAnswer: d**(329\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 67 + 19 + -72 + -12\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**2 - r - 1. Let g be (6\/(-10))\/((-12)\/(-60)). Let f(q) = -q**2 - 5*q - 4. Determine g*c(z) + f(z).\nAnswer: 2*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 63026, 126051, 189076, 252101?\n\"Answer: 63025*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 263.1 - 263.09997381. Round r to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -17*l - 4. Let a(c) = 15*c + 3. Let i(z) = -5*a(z) - 4*n(z). Let v(m) = 4*m. Suppose -4*j = -3*b - 6 + 1, -3*b + 7 = 2*j. Determine j*i(f) + 5*v(f).\nAnswer: 6*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 46308577*o*v**3 + 2*v**3 - v**2 + 366098*v - 5 wrt o?\nAnswer: 46308577*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) -2\/7  (b) 28  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1509828054316 and -1.\nAnswer: -1509828054317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3510127 millilitres in litres?\nAnswer: 0.0003510127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 + 7*s - 9)*(4 - 9 + 0) - 3*s - 3*s + 2*s.\nAnswer: -39*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**8)**(2\/21)\/((c*c**(-7\/3))\/((c*c*c**(-25)*c)\/c)) assuming c is positive.\nAnswer: c**(-437\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**7*j*j**(-2\/27))\/(j\/(((j**7*j)\/j)\/j*j)*j\/(j**(-1\/5)\/j)*j)*(j*j\/j**3)\/j**(3\/4)*j**(-2\/7)\/(j\/j**(-2)) assuming j is positive.\nAnswer: j**(-27631\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 328607 bigger than 328608?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 8 = -5. Let n(z) = -z**2 - 7*z - 5. Let y be n(-2). Let w(t) = t. Let k(o) = 6*o - 1. Calculate j*k(g) + y*w(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3641809?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -5210216 rounded to the nearest one thousand?\nAnswer: -5210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 11*f - 9. Let c be w(3). Calculate the highest common factor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that 3*d**2 - 108396*d - 12068919 = 0.\nAnswer: -111, 36243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*p - 1\/3*p**2 + 1\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 44591 and 493?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 19 + -29.2. Let c = -10.19944 - d. What is c rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1107*z = 1245*z - 414. Let m(b) = 4*b**3 + 3*b**2 - b - 12. Let k(n) = -n**3 - n**2. Determine z*k(o) + m(o).\nAnswer: o**3 - o - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(340))\/sqrt(10))\/(sqrt(10)\/((sqrt(5) - -1*sqrt(5)) + sqrt(5))) - (4 + sqrt(425) + 0 + sqrt(153))**2.\nAnswer: -1104 - 61*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1189 + -364. Suppose -5*l + w = 220. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*o = -33 - 79 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0, -16 in increasing order.\nAnswer: -16, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*g - g + 2*g)*(-3*g**2 + 356*g - 185*g + 596 - 170*g) to t*g + y + n*g**2 + i*g**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 36 - 1858*r - 84 + 48 in the form l*r + j and give l.\nAnswer: -1858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 41860153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*l - 2*n - 3, 4*l + 29 - 12 - 6 = -0*l - 3*n for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minus 4726.3926?\nAnswer: -4724.3926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve k - 16 = -4*v, 8*k - 4*k + 41 = 5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 0*q + 3*q + 0*q**2 + 2 + q**2 + 1. Let i(m) = m**2 + 4*m + 4. Let l(t) = -3*i(t) + 4*w(t). Suppose -12*z - 20 = -2*z. Determine l(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, 18, 57 in decreasing order.\nAnswer: 57, 18, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1510289617 to three dps.\nAnswer: 0.151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7 + 8. Suppose o + 175 = -5*q, -5*o - 56 + 231 = -5*q. Let c = 39 + q. Solve -c*n = 3*t + u, -4 = -t + 2*n - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15.817872 minutes to hours.\nAnswer: 0.2636312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -95\/28 and -43\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 145 divide 26368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -271 (base 11) to base 6.\nAnswer: -1252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 287, 1\/3, 1\/5, -4, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 47924 and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (2 - (-1 - 2)) - (-38 - -45).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b - 0*b + 952. Suppose 0 = -3*i + 70 - b. Let l = -25 - i. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1514574 and -0.102.\nAnswer: -0.0154486548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 248\/40*(-330)\/(-66)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 477530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 m when two letters picked without replacement from wqqwwmmemqwqmwmqq.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence udl when three letters picked without replacement from {f: 7, l: 1, d: 2, h: 2, u: 3, v: 3}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 21*g**2 + 47*g - 51. What is s(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.3 - -0.27. Let p = -0.38 + q. Let o = p - -0.01. Sort -3, o, -2 in ascending order.\nAnswer: -3, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 957 = 257*j + 3784 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(320) - 6*(-1 + sqrt(320)))**2 + 4*(-1*sqrt(320) + sqrt(320))) + ((((3*sqrt(20))\/sqrt(4) - sqrt(5)) + 4 + -2)*-2)**2.\nAnswer: -1408*sqrt(5) + 24204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -3*g + 26, 3*a + 4 = 2*g - 22. What is the least common multiple of 2 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2630 = 6036*k - 5736*k - 12670 for k.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 858*z + 36950. What is w(-43)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, 0.0419, 11993, 3\/8?\nAnswer: 0.0419","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*n**4 - 145*n**3 - 735*n**2 - 1055*n - 460.\nAnswer: -5*(n + 1)**2*(n + 4)*(n + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -17586614 - -40786599. Suppose -2*s - i = 3*g, 0*g - 46399980 = 4*s + 4*g. What is s rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 4*j**2 - 7109*j + 6. Let f(n) = -5*n**2 + 7052*n - 7. Calculate 6*f(d) + 7*l(d).\nAnswer: -2*d**2 - 7451*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + -142?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 359805 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: Let l = 5799 + -4911. Calculate the highest common divisor of l and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0058841816 to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -10  (b) 1  (c) 0  (d) -51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - x = 3*m - 14, 25 = -5*m - 3*x. Let f(z) = -z**2 - 6*z + 6. Let r be f(-7). Which is the biggest value?  (a) m  (b) r  (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**3\/3 - 16*w**2\/3 + 40*w\/3 - 32\/3.\nAnswer: 2*(w - 4)*(w - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4612710 rounded to the nearest ten thousand?\nAnswer: 4610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2.86 and -0.05?\nAnswer: 2.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22*d**3 + 1 - 64019*d + 64018*d - 5*d**2 - 1 to the form o*d + r*d**3 + l + u*d**2 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -6500\/16543 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Factor u**3\/2 + 137*u**2\/2 + 68*u.\nAnswer: u*(u + 1)*(u + 136)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-7 - -6)\/(1\/(-31)). Let t be n\/(-42) + 2\/12. Put 1, -3, t in decreasing order.\nAnswer: 1, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c and 1 f when four letters picked without replacement from cffcc.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zlb when three letters picked without replacement from {l: 2, z: 1, b: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add together 83 and -0.38.\nAnswer: 82.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*y**2 + 6*y**2 - 2*y**2)*((-3 + 1 + 4)*(3 + 2 - 6) + 2 - 2 - 1 - 1 + 1 + 1 - 82 + 5 + 35) to q*y + p*y**2 + o and give p.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 143 is divided by 39.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/525 in -3, -0.2, 269?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t - 17 = -16 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times 112969?\nAnswer: 338907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -5*r + 45195, 2*k + 45205 = -23*r + 28*r. List the prime factors of r.\nAnswer: 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-z + 2*z + 2*z)*(0*z + 0*z - 2*z)*(-1 + 1 - 1) as j*z + l*z**2 + a and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.5  (b) -1  (c) 3\/7  (d) -2\/9  (e) -1\/3  (f) 281\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 679769899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4 and 4.9?\nAnswer: 19.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, d: 1, p: 1, t: 2}. What is prob of sequence mmt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -adb4 (base 16) to base 3\nAnswer: -2020222222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1585\/12 + 10405\/84. Calculate the common denominator of x and -61\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from odod?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the third derivative of -d**4\/24 + d**2. Let y(v) be the first derivative of -5 + 3*v**2 + 2*v**2 + 3*v**2 - 6*v**2. Calculate y(x(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 216536?\nAnswer: 2, 27067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 742199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -504354 (base 6) in base 4?\nAnswer: -21233032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -363*i**5\/8 - 825*i**4 - 8391*i**3\/2 - 1806*i**2 + 16320*i - 9600 = 0?\nAnswer: -8, -4, 10\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.060206 rounded to three dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7889*v**3*x**2 - 2*v**3*x - 4*v**3 + 4*v*x - 34 wrt x.\nAnswer: 15778*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*j = 3*j - 473. Let c = 11 + -4. Suppose -c*v = -2*v - 75. What is the remainder when j is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.659998984 - -1.66. Round p to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -25358968000 to the nearest one million.\nAnswer: -25359000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 5 - t + 7*t**3 + 3.\nAnswer: 7*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1547.52 - -60.405.\nAnswer: 1607.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, y: 6, o: 7}. Give prob of sequence yz.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 2*d. Let w(k) = 6475881*k**2. Determine w(u(o)).\nAnswer: 25903524*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 + -4. Let u = -2.96 - 0.04. Let r = 3 + -3. What is the second smallest value in r, u, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*g + 2*g - g)*(6 - 4 + 4) + (0*g + 0*g - 2*g)*(1 - 1 + 8).\nAnswer: -40*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 270.9595 - -0.0405. Let l = y + -259.3. Let b = l + -11.69768. Round b to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 840 divided by -28\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 3, -165\/2, -36?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -f**2 - 2*f**2 + 2*f**2 + (-f + 1 - 1)*(-5*f + 2*f + 4*f) + (2 - 2 + 2*f)*(-3*f + f + 4*f) - 435*f + 0*f**2 + 447*f + 2*f**2.\nAnswer: 4*f**2 + 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9 * 0.05.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 27 = x - 402, 4*x - 184 = -2*t. Let q be 1\/(-4 - -1)*(t + -1). Is q less than or equal to -218\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 28*q**2 - 8*q - 2. Let p(s) = -s**2 + s + 1. Let n = -33 + 34. Let b(w) = n*z(w) + 5*p(w). What is the tens digit of b(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 36  (b) -2\/45  (c) 0.3  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**4 - u**3 - u**2 + u - 6. Let g(h) = 1. Let o(w) = 6*g(w) + v(w). Factor o(r).\nAnswer: r*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 443\/6  (b) 2\/11  (c) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 36*r + 17*r - 196780 + 22940. What is the highest common factor of r and 480?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and -0.0024.\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + b + 3)*(-1286 + 296 - 35730 + 8395 - 32484 - 2883).\nAnswer: -63692*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 17*m**2 - 10*m + 41. Let x be n(7). Suppose 7*a + 76 - x = 0. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 214306 - -4?\nAnswer: 214312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 3*f + v - 5, -5*v - 2 = -4*f. Factor -9*q + f*q**2 + 3*q + 6*q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the second derivative of 25*h - 1\/2*h**3 + 0 + 5050000*h**2. Let j be g(0). What is j rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6770.\nAnswer: 2, 5, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**3 + 47*t**2 - 48*t + 63. Give n(46).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 + -1113712.\nAnswer: -1113708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 3 - 2 + 6*t**2 - 3 + 2*t**2 + 3 + (-1 - 2*t + 1)*(0*t - t + 0*t) to the form k + u*t**2 + z*t and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/550 and 91\/22?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + (1 - (17 - 27)) + -9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 504188005 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*q**2 - 4*q**2 + q**2 + (q + 3*q - 3*q)*(-3*q + 4*q - 2*q)*(0 - 2 + 4) as u + w*q**2 + i*q and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000006569 to 7 decimal places.\nAnswer: 0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**3 + 5*x**2 - x - 1. Let y be s(-5). Suppose 1 = h, 2*r + 2*r = y*h + 36. Let b = r + 2. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 9*g**2 - 6127 + 3058 + 3062 - 49*g. Let s(m) = -14*m**2 + 73*m + 11. Calculate -5*s(i) - 8*u(i).\nAnswer: -2*i**2 + 27*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3956 and -8.\nAnswer: -31648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4\/11, 0.8, -53328?\nAnswer: -53328","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 99 + -97. Let t(l) = -254*l - j*l**3 - 22*l**2 - 14 + 3*l**3 + 258*l. What is the units digit of t(22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-4) - 717*1*(414\/216)\/(-23)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -4123, -3354, -2583, -1810, -1035, -258, 521?\n\"Answer: w**2 + 766*w - 4890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 69817 - 42567. List the prime factors of s.\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -9*n. Let u(t) be the second derivative of -3*t**4\/4 - 61*t. Give u(f(v)).\nAnswer: -729*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 6*b**2 + 46*b + 2. What are the prime factors of v(-9)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wccaacacjccccac. Give prob of picking 1 w and 1 a.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 120582876 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 10208 a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (-7 - -4) + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*s - 20 = 16*s. Suppose -s*m - 4*x = -9525, 3*x - 912 = -2*m + 2905. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 234*x + 20 = 4*r + 229*x, 2*x - 15 = -3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 15362 and 5.\nAnswer: 76810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 12, g: 3}. What is prob of picking 2 d?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3450345 * -1.8.\nAnswer: 6210621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhghebgsgcc. Give prob of picking 1 e, 1 h, 1 g, and 1 c.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (2 - (-6 + (15 - 6))) + 47 + -67\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 667 or 26.7959?\nAnswer: 26.7959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**2\/9 - 1036*d\/9 + 12454\/3.\nAnswer: 2*(d - 479)*(d - 39)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, 5, -39\/4, 165.\nAnswer: -39\/4, 5, 15, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**2 - 2*s - 1. Let d(q) = 4*q**2 - 7*q - 2. Let l(j) = 2*d(j) - 7*x(j). What are the prime factors of l(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 411 (base 5) to base 9\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 0*a - 6 = 0. Let r = 82 + -146. Let v = r - -64.4. Put a, -2, 5, v in ascending order.\nAnswer: a, -2, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (804\/(-2211))\/((-82)\/22 + 4).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 2*f**3 + 13*f**2 - 7*f + 1. Calculate o(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - m + 7 = 6*a, a - 16 = 2*m. Calculate the least common multiple of a and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0\/4 + -3 + -1 + 4. Suppose n - 1 = 0, 3*y - n - 3*n = -1. Is y equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v\/(v**(-2\/7)*v)))**3\/(v**(-2\/9))**(-2\/67))\/((v**(-4\/5)*v*v*v*v*v)\/(v*v\/(v\/v**(-6\/7)))*(v**(-1))**29) assuming v is positive.\nAnswer: v**(571504\/21105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 27 - 23. Solve -z*x + 24 = 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**2 - 22*r + 40. Let l be u(20). Put l, -4, 2 in increasing order.\nAnswer: -4, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 34\/10 + 0 + 6\/(-15). Let w be (n\/(-9) - -1)\/((-2)\/(-36)). Find the first derivative of -w*r**4 - 3 - 4*r**3 + 1 + 2*r**4 - 5 wrt r.\nAnswer: -40*r**3 - 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aeesesssse. What is prob of sequence ssa?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 84a5 + -3?\nAnswer: 84a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(33)\/(sqrt(3) + sqrt(240)\/sqrt(5)))**2.\nAnswer: 11\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -288*l + 63. Let w(q) = 23*q - 5. Let c(m) = -5*j(m) - 63*w(m). Let b(g) = -1408*g**2 - 1415*g**2 + 2819*g**2. Give b(c(t)).\nAnswer: -324*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - -2) + -2 - (13 + 7 - -86 - -26).\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -5236*c + 2193877. Determine u(419).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 3*y - 6 = 0, -y - 2 = -0*n - 3*n. Is 1\/7 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92 = -10*z - 4*g, -574*g = 7*z - 577*g - 47 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 4*z - 34 = 0, -5*k + z = 4*z - 62. Suppose k = 4*l - 2*l. Which is the third smallest value?  (a) -1  (b) -9  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30544 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 704*f - 551*f + 1019 + 588 = -2065 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k + 11*k + 287. Let n = -38 - k. Suppose 3*q - 2*x - 3 = 15, 3*x + 6 = q. Solve -2*z - 5*m = n*z + 15, z = 2*m - q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 1, 3, -234, -29, -14, 4 in decreasing order.\nAnswer: 4, 3, 1, -2, -14, -29, -234","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**2 + 151*m - 622. Determine o(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/t**(-8)*t*t*t**(3\/10)*t assuming t is positive.\nAnswer: t**(123\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 15*d + 26893 = -18*d, -10 = 2*d. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -2089*y**2. Let n(w) = -42*w**2. Calculate c(n(r)).\nAnswer: -3684996*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*v**4 + 6*v**4 - 2*v**4 + (3*v**3 - 4*v**3 - 2*v**3)*(3 - 3 + 3*v).\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11468 and 2068?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-57*y**4 - 95*y**4 + 71*y**4)*(-2 + 0 + 1)*(3*y - 5*y - y).\nAnswer: -243*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the first derivative of -17*i**3\/3 - 15*i + 16. Differentiate o(n) wrt n.\nAnswer: -34*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange k - k - 3*k**4 + (6*k**4 - 4*k**4 + k**4)*(5 - 1 + 0) - 12*k**4 - 25*k**4 - 21*k**4 to h*k**2 + r*k**3 + x*k + n*k**4 + g and give n.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 598 a factor of 6575685438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s + 3. Let j(h) = 40*h - 33. Let q(p) = -73*p + 61. Let c(n) = 11*j(n) + 6*q(n). Calculate 2*c(l) - 3*u(l).\nAnswer: l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y + 1. Let i be 2\/6 - (-800)\/(-150). Determine v(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b*b\/(b**16*b)*b**(-6) assuming b is positive.\nAnswer: b**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes before 2:13 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 19.17024 millennia?\nAnswer: 191.7024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 40706483?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -12*w + 369. What is m(16)?\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 12) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -7*h + 5*h + 3*h. Let u(m) = -6*m**4 + 4*m. Let r(i) = 2*t(i) - u(i). What is the second derivative of r(w) wrt w?\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 34 + -38.75. Let v = 0.25 - a. What is the second biggest value in 0.5, 0, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide (-102)\/(3 + 0)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (154\/(-110))\/(3\/(-28695)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 104 a factor of 12480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 104 and 234?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1465)\/19 + 18\/171. Let w be 3\/21*-4 + (-58)\/h. Which is smaller: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1069.5 - 1072.7116. What is f rounded to one dp?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24\/(-18)*(-1)\/(-4)*-1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1260195234 - -0.5.\nAnswer: 1260195234.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -27, -153, 0.3, 2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -336\/29 - -2439\/203. What is the smallest value in -0.5, -3, -3\/2, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2721027540 and 23.\nAnswer: -2721027517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 8*o = -10. Let v be (1\/o)\/(((-2)\/(-12))\/1). Suppose t = 3*s - 10 - 4, v*s = -3*t - 6. Which is greater: t or -7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-8877)\/(-18) - (-5)\/(-30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-648)\/(-108))\/((35\/2)\/(-7)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (-48)\/(-12 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -137*m**2*y - 265*m**2 - 2*m*y - 565392*y with respect to m.\nAnswer: -274*m*y - 530*m - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2351 a factor of 333095471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 11929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2074.5 - 872. Round h to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -51 - -46. Which is bigger: -48\/11 or g?\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1414368 to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.62114733 to 2 decimal places.\nAnswer: 1.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 399 and 969.\nAnswer: 6783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 868049.1 millimeters to micrometers.\nAnswer: 868049100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) 0  (b) -35\/1801  (c) 4  (d) -0.3  (e) 5  (f) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 h when two letters picked without replacement from {m: 2, h: 5, p: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 11011001111111 (base 2) to base 11\nAnswer: a533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1085*i**3 + 26*i**2 - 26*i**2 - 544*i**3 - 14*i - 539*i**3.\nAnswer: 2*i**3 - 14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10551 + -63167\/6. Find the common denominator of q and 16\/369.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.344 - -0.144. What is the closest to 0 in -3, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.70881719 + -0.6585125. Let x = 0.0503 - b. Round x to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -8\/43  (b) 0.4  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 351\/65 - (6\/2 + 1).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -12632, -12308, -11768, -11012, -10040, -8852, -7448?\n\"Answer: 108*q**2 - 12740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9843.828l to millilitres.\nAnswer: 9843828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 27 and ((-639)\/(-15))\/((-2)\/(-10)).\nAnswer: 1917","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 6210102, -0.4, 1 in increasing order.\nAnswer: -0.4, 1, 6, 6210102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2680*q**3 + 30*q**2 - 2590*q**3 + 5613*q**3 - 15*q**2 - 16*q**2.\nAnswer: 343*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.7590883 - -4.25.\nAnswer: 7.0090883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 3*c + 3. Let n be v(-2). Let d = -3294 + 3321. What is the smallest value in n, d, -1\/3, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 + 1188078?\nAnswer: 1188084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 368569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 15 = 4*l. Determine w so that -3*w**2 - w**2 + 2*w**2 + w + 2*w**4 - w**l = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -164b - 1aa39?\nAnswer: -20488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, -2\/3, -33568.87?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3090.3 - -3090. Let w = -4 + 9. Sort w, -1\/2, -3, d in ascending order.\nAnswer: -3, -1\/2, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:07 PM and 1:53 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*2*-5*sqrt(275)*2)**2.\nAnswer: 110000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (21\/564)\/((-14406)\/(-16464)).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*i**2 - 2*i - 12*i - 10*i - 65 + 30*i - 4*i as o*i**2 + f*i + t and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 17058 rounded to the nearest 100?\nAnswer: 17100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 2*f**3 - 20*f**2 - 28*f + 25. Let n be y(12). Let j = 260 - n. Which is the smallest value?  (a) -54  (b) j  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-16)\/(-10) + 42\/(-70). What is the nearest to z in -1\/3, -0.5, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-i + 2*i - 3*i)*(-5 + 5 + 2) + 2*i + 3*i + 3*i)*(-1764*i**3 - 1002*i**3 + 490*i**3) as w + d*i**3 + z*i**2 + h*i**4 + r*i and give h.\nAnswer: -9104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7\/(-36))\/7*(-3)\/1?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1530 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 20*z**2 - 2. Let p be y(-1). Suppose 26*h - 40 = p*h. Solve -i - h*w + 19 = -0*w, -15 = -5*w for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -9*j**2 - 5*j + 4. Let i(p) = -10*p**2 - 4*p + 3. What is -7*i(d) + 6*l(d)?\nAnswer: 16*d**2 - 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**3 + 4*o**2 - 6*o + 4. Let h be d(-5). Suppose 1 + h = -2*c. Sort 4, 2, c.\nAnswer: c, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 274 = -4*f, f = 2*c + c - 269. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17879\/(-2090)*11 - 7\/(-70)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the second derivative of 0*p**2 + 0 + 0*p**3 + 3\/4*p**4 - 9*p. Let m(h) = -2*h**2. Give g(m(t)).\nAnswer: 36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9 and 27099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13, -54, -121, -214, -333, -478?\nAnswer: -649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 - -17. Suppose 3*n - 9 = f. What is the lowest common multiple of n and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m - 5*m + 3*m + (0 + 1 + 1)*(-1 + 2*m + 1) + (4 + 4*m - 4)*(4 + 3 - 8))*(-m**4 + 0*m**4 + 2*m**4).\nAnswer: m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 40505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d = 10*d + 24 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -210021000 - 1010?\nAnswer: -210022010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 7128068 to the power of 1\/3, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -25 + 28. Suppose -19 = -5*y - f, o*y = y - 5*f + 3. Suppose -y - 1996 = -2*i. What is i rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 425  (b) 15  (c) 0.3  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 + 5. Let z = 27961\/4 - 6991. What is the second smallest value in -2\/11, 5\/2, k, z?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*u**2 - 4*u**2 + u**2)*(7 - 2 + 0 + (-1 + 1 + 2)*(4 - 1 - 4)) in the form c*u**2 + n*u + d and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2137025?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 26 + -21. Let k be u + (-2 - (-3 - -2)). Put -2, -1, k in increasing order.\nAnswer: -2, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 15, -3\/5, 1571838?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, -5, 7, -57, 0, 5, 33 in decreasing order.\nAnswer: 33, 7, 5, 0, -5, -13, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 147609?\nAnswer: 3, 7, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 4*s + 2. Let p be (-12)\/(-28) - 72\/21. Let g(a) = -a - 1. Give p*t(z) - 8*g(z).\nAnswer: -4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes before 2:14 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1\/(-7))\/(10\/30). Which is the nearest to -3\/4?  (a) t  (b) -5  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.03, -10137, -2\/93, 7, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 43 + -49. Does 11 divide f\/(-2 - 4)*611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0*(-3)\/(-36)*-4)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 303 + -303. Solve 7*y - 1 - 20 = x for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 47*u**2 - 28*u**3 - 22*u**2 - 6*u + 6*u - 26*u**2 to c*u + i + j*u**3 + h*u**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -120*v**2 + 275*v - 35. Let y(m) = 179*m**2 - 412*m + 52. Let r(g) = -8*d(g) - 5*y(g). Factor r(k).\nAnswer: 5*(k - 2)*(13*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**3 - 3*q**2 + 4*q. Let v be r(3). Suppose -4*g + v = -4. What is the smallest common multiple of 9 and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 394843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 75*f**2 - 120*f**2 - 37*f + 37*f - 25*f**2. Let q(g) = -g**2 - 8*g. Determine q(u(v)).\nAnswer: -4900*v**4 + 560*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48*b + 323*b + 150*b.\nAnswer: 425*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 792 divide 433547928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1416.55 take away 53943?\nAnswer: -52526.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(24)\/(-3*sqrt(392)).\nAnswer: -sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/5 or -4953?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*f + 1\/3*f**3 + 1\/3*f**4 + 0 - 2\/3*f**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 156952 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((2\/(-2))\/26)\/((-2)\/32*2).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.0434 and 670523.\nAnswer: -29100.6982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 934650 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y\/y**(-1))**(31\/5)*(y**(-2\/7))**(-1\/35)*(y**(-1\/4))**37\/((y*y**7)\/(y\/((y\/(((y**(-2\/7)\/y*y)\/y)\/y))\/y))) assuming y is positive.\nAnswer: y**(71\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 31642553 (base 8) to base 6\nAnswer: 401021123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*u + 2*u. Suppose u*j + 2*j = -22. Let p(m) = -2*m + 4. Let h(v) be the first derivative of -v**2\/2 + 2*v - 386. Determine j*h(w) + 6*p(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 8*l - 12*l. Let p = 12 - l. Suppose 3 - 5 = -5*b - 4*o, -5*b - o + p = 0. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1708, 6763, 15186, 26971, 42112?\nAnswer: 60603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1)\/k)\/(k\/(k\/k**(1\/5))*k*k)*(((k*k*k\/((k*k**(1\/4))\/k)*k)\/k)\/k)**(4\/17) assuming k is positive.\nAnswer: k**(-322\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**2 - 1. Let r be 2*1\/2 - 12. Let h(c) = -5*c**2 + 6. Let g(v) = v**3 - 5*v**2 - 5*v - 8. Let b be g(6). Determine b*h(s) + r*z(s).\nAnswer: -s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 50933*p**2 + 17 - 16 - 50370*p**2 to s*p + z*p**2 + b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 - (-1 - (5 + -8)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -10, -42, -114, -238, -426, -690?\n\"Answer: -2*v**3 - 8*v**2 + 6*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-1)*o\/o**3*(o*o**(-1\/4))**(-49) assuming o is positive.\nAnswer: o**(-159\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24 + 24 - 400*i**3 + 449*i**3.\nAnswer: 49*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 2*i**2. Let l = 405 - 289. Let g(k) = -5*k**2 + l*k - 11*k**2 - 12*k**2 + 2 - 116*k. Calculate d(g(t)).\nAnswer: 1568*t**4 - 224*t**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -2110 (base 9) in base 11?\nAnswer: -1188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the second derivative of -47*p**8\/8 - 109*p**4\/6 - 759*p. What is the third derivative of g(i) wrt i?\nAnswer: -39480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 1, 224, 16 in decreasing order.\nAnswer: 224, 16, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the third derivative of -11*g**5\/20 - 23*g**4\/24 - 2*g**2. What is the second derivative of i(w) wrt w?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes after 5:05 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 2*w - 3*w + 3 - 4*w. Let y(z) = 3 - 21*z + 7 + 5*z. Let b(d) = 10*a(d) - 3*y(d). Let o(k) = -2*k**2. Give b(o(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -3621, -6563, -8891, -10599, -11681, -12131, -11943, -11111?\n\"Answer: i**3 + 301*i**2 - 3852*i - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -27133, -27294, -27505, -27766, -28077?\n\"Answer: -25*v**2 - 86*v - 27022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*s + 101463 - 101463.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -126 (base 12) to base 3\nAnswer: -20110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3\/7 + 15\/(-84))*312. Solve 56*d + m = 358 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/15 of a hour in minutes?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -9 (base 14) to base 15\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a tonne in kilograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16 and 7944.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + -15 + -1 + 69 + -16.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -o**4 - 4*o + 3*o + 4*o**3 + 2*o to the form s*o**2 + q*o + x + m*o**4 + t*o**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -143 + 17. Let h = a + 519\/4. Factor 4*k**4 - h*k**2 + 0 + 1\/2*k + 6*k**3.\nAnswer: k*(k + 2)*(4*k - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 86 and 1168.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43*y + 2*y**3 - 49*y - 3*y**3 + 92*y.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -202 = 4*x - 238, -5*x = -17*h + 40 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes after 2:28 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 + 0.5. Let q(l) = 4*l + 65. Let i be q(-17). Which is the third smallest value?  (a) h  (b) i  (c) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y**5 - 5858*y**4 + 23400*y**3 + 32*y**2 - 93632*y + 93600 = 0.\nAnswer: -2, 2, 2925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -12849238*z**2 - 13*z + 79099 wrt z?\nAnswer: -25698476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 41 - 153 = -o, z + 5*o = 39. Let p = -34 + z. What is the remainder when 9\/(-12) - (-115)\/4 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1209800.87 + 489.6.\nAnswer: 1210290.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -27*45*6\/(-15). Suppose 5*p = 5*m - 2*m + f, 189 = 2*p - 3*m. What is the highest common divisor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.561 + 1.561. Which is the third smallest value?  (a) -1\/5  (b) 0.3  (c) -41  (d) 0.2  (e) n\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4746?\nAnswer: 2, 3, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 25532770 + 2*g**2 - 35*g - g**2 - 25532743 + g**3 in the form p*g + b + i*g**2 + x*g**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 23630658.\nAnswer: 2\/11815329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 6668, 6677, 6706, 6767, 6872?\n\"Answer: 2*b**3 - 2*b**2 + b + 6667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 31162 and 4?\nAnswer: 124648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4997430 or 4997408?\nAnswer: 4997430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 491 + -2?\nAnswer: 48a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 108\/252*245*(-28)\/(-882)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23601 = -5*d - 5429. Let y = d - -8295. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**3 - 6*f**2 - 12*f + 7. What is the hundreds digit of g(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 7*m - 3. Let x(c) = -c**3 + 4*c**2 - 3*c + 4. Let h be x(3). Let p = 0 + 9. What is the remainder when n(h) is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2281.1156 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 190211138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 5 = 5*f. Let d be (325 - -9) + (f - 3). What is d rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 369\/(-615)*20\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 48 and 35775048?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11640.219 + -11592.22023. Let f = -48 + u. What is f rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-78)\/4*(-74)\/3. Suppose 5*b - 732 = -4*p, -3*p - 2*b + 6*b = -518. Suppose i + p = q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -873, -877, -881, -885?\nAnswer: -889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*g = 58*w - 53*w - 20, -3*g + 4 = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 194*q**2 - 13*q - 39. Let a(k) = -k**2 - 2*k - 19. What is -2*a(d) + v(d)?\nAnswer: 196*d**2 - 9*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u + 8. Let v be m(5). Calculate the common denominator of -13\/14 and (-1)\/v + (-1590)\/(-288).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 1 - 4)*(-1 + 1 + 3*w)*(-28 + 30 + 28).\nAnswer: 90*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u\/(u*u\/(u*u*((u\/u**(1\/9))\/u)\/u)*u)*u**(1\/4))\/((u*u\/(u\/(u**(-1\/2)*u)*u))\/(u*u*u*u\/u**(1\/3)*u)))**24 assuming u is positive.\nAnswer: u**(310\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 115244 and 564?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1185817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34 is divided by (-92)\/(-3) + (4\/(-6) - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes after 3:26 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 112 and 8.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (15*1\/27)\/((-2)\/6)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2212021 (base 4) in base 15?\nAnswer: -323d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the third derivative of k**7\/6 + k**5\/60 + 5*k**3 - 65*k**2. What is the first derivative of f(l) wrt l?\nAnswer: 140*l**3 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the third derivative of c**5\/30 - 3*c**4\/8 - c**3 - 2*c**2 + 6*c. Let o be i(6). Solve -5*n = u - 23, 5*u = u + o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 16, 4, -44 in ascending order.\nAnswer: -44, -1, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-27\/5)\/c**(1\/20))\/(c**(-18))**(-45\/2))**(21\/5) assuming c is positive.\nAnswer: c**(-172389\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4.3 - -9.3. What is the third biggest value in 0.3, 2\/5, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than 310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in -1\/4, -1\/5, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 2*r - 16 = 0, 3 = 2*w + 4*r - r. Suppose -2*l + 11 = -21. Suppose -l = 5*s - s - 3*v, 4*v - 20 = 4*s. Is w smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2 - 8)\/((-9)\/(-6)). Let p be (-1)\/(v\/(-2*74)). Let c = -14 - p. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 21781592*n**3 - 746927*n**2 + 3*n - 1.\nAnswer: 130689552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9391 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 - 67371329736?\nAnswer: -67371329735.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 729 and 28902123?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 25*q + 10. Suppose 0 = 4*g + x - 73, -2*g - 4*x = 2*g - 76. What is the remainder when g is divided by u(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -161 - 13*w - 2*w**2 - 6 + 10*w**2 + 18*w - 57*w. Calculate the remainder when 609 is divided by n(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -26 + 30. Let p = -1385 + 1273.9. Let k = -111 - p. Sort k, 3, -2, x.\nAnswer: -2, k, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3482 + -1230. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13592.\nAnswer: 2, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 3721828439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3245249165?\nAnswer: 5, 1567, 414199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:14 PM and 4:16 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2800664?\nAnswer: 2, 23, 31, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {m: 11, l: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (110\/(-25))\/((-8)\/20). Suppose -35 = -5*t - x, 2 = -t + 4*x - 12. Suppose -13 = -t*m + n. Sort m, -5, -3 in descending order.\nAnswer: m, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 866, 3041, 5926, 8915, 11402?\nAnswer: 12781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30\/(-48)*4\/10.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {m: 5, l: 3, g: 3, x: 9}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 14 + -13 - 2\/(-10). What is the third smallest value in h, -2\/15, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 145329875 a multiple of 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes after 11:12 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -147*l + 354. Let s(d) = -49*d + 118. Let a(q) = -17*s(q) + 6*w(q). Differentiate a(h) with respect to h.\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0041 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*f - 3*f + 0*f + 5*f + 2*f**2 in the form a + z*f + j*f**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1703 (base 10) in base 3?\nAnswer: -2100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*p**2 - 23*p**5 - 8*p**2 + 6*p**2 + 4*p**2 wrt p?\nAnswer: -1380*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**3 + 4*c**2 - 4. Let g(s) = s**3 - 4*s**2 + 2*s. Let i be g(3). Let b be n(i). Find the first derivative of -d - 1 + 0 + b - 2 wrt d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*h**4 + 2*h**3 + 176*h**2 + 182935*h wrt h.\nAnswer: 48*h**2 + 12*h + 352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -183 - -365. What is the remainder when q is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -82, -83, -84?\n\"Answer: -s - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 7*n + 17. Let v(z) = -z + 1. Let k(s) = r(s) + 4*v(s). Let f be k(-8). Let b(t) = 2*t**2 + 4*t + 4. Calculate b(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 46*r + 0 + 504\/11*r**2 - 2\/11*r**3.\nAnswer: -2*r*(r - 253)*(r + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28126.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -109\/9954 and 71\/3792?\nAnswer: 79632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 14 = 3*c, -26 = -4*q + 7*c - 2*c. Factor -2\/3*m - 1\/2*m**q + 0 - 2*m**2 - 11\/6*m**3.\nAnswer: -m*(m + 1)*(m + 2)*(3*m + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -25*o**2 + 10*o - 10. Let j(q) = -8*q**2 + 3*q - 3. Let b(k) = -3*i(k) + 10*j(k). Let p(x) = 2*x. What is p(b(v))?\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5 - (-2 - (0 + -3)). Suppose -3 = -j + 3*u, 4*u + 6 + 3 = 3*j. Suppose 40 = j*b + 2*b. Solve -4*t - b = q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -231, -1028, -2363, -4242, -6671, -9656?\nAnswer: -13203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1812405?\nAnswer: 3, 5, 7, 41, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 755 by 5.\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -2*o**3\/7 + 1900*o**2\/7 - 451250*o\/7 = 0?\nAnswer: 0, 475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 313489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -62315*l**3 + l**2 + 25035.\nAnswer: -186945*l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 61\/4 of a decade in months?\nAnswer: 1830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 106533515?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/30)\/(52\/(-39))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1260205972.\nAnswer: 2, 23, 13697891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 162163 is divided by 40399.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -1618\/3 less than -539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ksuukxuiicukkuxk. What is prob of picking 2 x and 1 s?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((3*(sqrt(84) + sqrt(84) + sqrt(84)*-5) - sqrt(84))\/sqrt(4))\/(2*sqrt(175) + (sqrt(343)*-1 + sqrt(343) + sqrt(343) - sqrt(343))))**2 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7248145*i - 7247891*i - 5679 + 345 = 0 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*l = 16*l + 15. Calculate the remainder when ((325\/(-10))\/l - 2)*12 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 6, 0.1, 3312, 4, 2\/17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 78 and 120939.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 17 + -16.93. Let k = p - 0.05. Let s = k + -1.02. What is the closest to 2\/3 in -0.2, s, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7485 - 7527. Which is the closest to 1\/4?  (a) -5  (b) z  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -2*q**2 + 8*q + 2. Let g(h) = -h**2 + 4*h + 1. Let v(b) = b - 7. Let a be v(10). Let c(t) = a*n(t) - 7*g(t). What is c(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 441016984?\nAnswer: 2, 3083, 17881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12 - -10. Let i = r - -2. Is i at most 2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o*o\/((o\/(o*(o\/o**(1\/2))\/o*o))\/o)))\/(o*(o*o*o**(1\/2)*o)\/o)*o**4*o**(3\/4)*((o*o*(o**12*o)\/o)\/((o**(-1\/9)*o)\/o))**(-30) assuming o is positive.\nAnswer: o**(-5095\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -4716, -4260, -3504, -2448, -1092, 564, 2520?\n\"Answer: 150*a**2 + 6*a - 4872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 5796556 divided by 1449139\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12 - 12. Sort -1\/8, c, 3.\nAnswer: -1\/8, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 171186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*r**3 - 1 + 0 + 31*r**3.\nAnswer: 40*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2461*g - 2459*g - 3*r = 1, 2*r = g. Factor -14\/5 - 19\/5*o + 1\/5*o**3 - 4\/5*o**g.\nAnswer: (o - 7)*(o + 1)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 17 + -8 + (-16 + (-1 - -14) - -2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * 268.3.\nAnswer: -26.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the second derivative of -6*r**2 + 11*r + 1\/6*r**3 - 1\/240*r**6 + 0 - 5\/48*r**4 + 1\/30*r**5. Let i(j) be the first derivative of u(j). Factor i(z).\nAnswer: -(z - 2)*(z - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -121*f - 3493. What is v(-28)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -359 + 51 = -j. Calculate the greatest common divisor of j and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 4  (b) -6  (c) 1  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (481 + 175 + 1810)*(3 + 2*i - 3) to z*i + f and give z.\nAnswer: 4932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8\/(2\/10 - (-24)\/80). What is the highest common factor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 457, -3, 110, 0.4, 0, -20 in decreasing order.\nAnswer: 457, 110, 0.4, 0, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 6*v. Let g = 38 + -32. Let c(k) = -k**2 - 7*k - 4. Let l be c(-6). Let x(j) = g*j**2 - 2*j**2 - 2*j**l. Calculate x(z(q)).\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.1021 and -0.4.\nAnswer: -0.2979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -2*w**2 - 1. Let y(i) = 310249*i**2 - i - 310247*i**2 + 0*i. Give 4*x(b) + 3*y(b).\nAnswer: -2*b**2 - 3*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -552, -549, -554, -573, -612, -677, -774, -909?\nAnswer: -1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4 + (-3)\/(6\/4). Let p(b) = 4*b**2 + 3*b - 4. What is the remainder when p(j) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*l**3\/l)\/l)**45*(l**2)**(-3\/11))**(24\/11) assuming l is positive.\nAnswer: l**(23616\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 9, 1\/19, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 30.48, 6, 5, 2\/3, 3, 0.4, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9495474 is divided by 1319?\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qkkkqikqqqqkiii?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 52  (b) 2\/13  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 7) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 22674 and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -1922*y**5\/11 + 518692*y**4\/11 - 21495966*y**3\/11 + 18265748*y**2\/11 + 2625848*y\/11 + 87600\/11 = 0.\nAnswer: -2\/31, 1, 50, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -278 - -676. Let k = h - 399. What is the fourth smallest value in k, -0.1, 10, 1\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 849\/112 - -358433\/112. Let r = y + -3203. Find the common denominator of -8 + 5 - (-67)\/14 and r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.18 less than 0.3?\nAnswer: -11.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 230.6 + -230.95. What is the nearest to 0 in v, -6, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-9\/2)\/s)\/(s*s**(1\/6)\/s))**(8\/7) assuming s is positive.\nAnswer: s**(-136\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 29148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -c**3 - 2360*c**2 - 42201*c - 105390 = 0. What is c?\nAnswer: -2342, -15, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2*z)*(-3 + 3 - 3*z**2) - 4*z**3 - z**3 + 0*z**3.\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 276\/27 - (-2)\/(-9). Let t(o) = -s + 8 - o - 3. Suppose -2*w - 25 + 13 = 0. Give t(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -94*a**3*t**2 + 2*a**3*y + 51*a**3 + 40*a*t**2*y + 2*a*t*y - 44*a*y - 3*t*y - y - 4 wrt a?\nAnswer: -564*a*t**2 + 12*a*y + 306*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -13*r**2 - 6*r**2 + r**4 + 29*r**4 wrt r.\nAnswer: 720*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8555 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:19 AM and 2:45 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 864*w**5 - 620*w**5 - 2527*w**5 + (-w + 2*w**4 + w)*(0*w + w + w).\nAnswer: -2279*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -3*l - 2. Calculate the least common multiple of 4 + 3 - (3 - l) and (-3)\/((-2)\/1 + 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 454*i + 10894891 - 117937078 = -5633569. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 899.4034 centimeters in nanometers?\nAnswer: 8994034000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*z = -5*g + 7*z - 7, -33 = 3*g + 3*z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least 1\/7352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*a**2 - 6*a**3 - 11*a + 5 + 2*a**3 + 13*a + 2*a**3 to l + y*a**3 + j*a**2 + b*a and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 82 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.038 - -5.638. Let t = 0.6 - o. Let u = -2 - -1.9. Which is the biggest value?  (a) t  (b) 5  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + -1*1*sqrt(5))**2.\nAnswer: -10*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -3*v**4 - 12*v**3 - 5*v**2 + 16*v + 12. Let o(q) = 3*q**4 + 12*q**3 + 6*q**2 - 15*q - 12. Let a(r) = -4*o(r) - 3*w(r). Factor a(m).\nAnswer: -3*(m - 1)*(m + 1)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-42)\/3 - (4 - 2). Let g = k + 30. Calculate the greatest common factor of g and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10\/9 in 7, -5, -1\/7, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.02 and 98.\nAnswer: -1.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 179?  (a) -12  (b) 4  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -6*w + 137. What is l(25)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 105, 102, 99?\n\"Answer: -3*y + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -131157032 - -0.5.\nAnswer: -131157031.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64*u - 324 = 37*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000101509 rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 116\/(-144)) + (-1)\/(-9)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/(((-450)\/(-140))\/5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 14224180519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jsjshfhejjhf. What is prob of picking 2 h?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 9 - 209?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -44\/123?\nAnswer: -44\/123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 4*w - 49 = 0, 12*w - 9*w = 4*h - 63. Calculate the smallest common multiple of 21 and h.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sssm when four letters picked without replacement from msssmsmssss.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h**2 + 4*h + 13685 = 0.\nAnswer: -115, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27*j**2 - 142*j**2 + 191*j**2.\nAnswer: 22*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 163.79401379 to three dps.\nAnswer: 163.794","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1.37242358 - 1.6\nAnswer: -0.22757642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1847708 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 368.7 - 368.703017. Round q to four dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/4 in -2, -0.08, 5, 2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 70 + 113. Does 19 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-10))\/((-14)\/10).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 925650*c**4*w**2 + 2*c**2*w**2 - 3*c**2*w + 10020*c**2 - 13*c*w**2 + 2*w wrt c?\nAnswer: 22215600*c*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put together -21.532 and -176.104862.\nAnswer: -197.636862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3150209, -6300454, -9450699, -12600944, -15751189, -18901434?\nAnswer: -22051679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 88076416 to the nearest integer?\nAnswer: 9385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 17  (b) -19  (c) -75617\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88*x**4 - 224439*x**3 - 19991279*x**2 + 11185800*x - 1371564 = 0 for x.\nAnswer: -2458, -93, 2\/11, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 2032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 192 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, n: 5, d: 5}. Give prob of sequence nndd.\nAnswer: 10\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -7*n + 33 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -5*s + 182, 0 = -m - 1. Calculate the remainder when (62\/(-6))\/((-6)\/s) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 < -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*y**3 - y**3 - 5*y**3)*(-4*y + 5*y - 3*y) + 3*y**3 + 6*y**2 - y**4 - 6*y**3 + 4*y**3.\nAnswer: 5*y**4 + y**3 + 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2595389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132*z + 69 = 199 + 266. Solve 5*m = -3*x + 2, x + z - 1 = -3*m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 6, i: 4}. What is prob of picking 1 y and 1 i?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 1558.\nAnswer: 2\/779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 74676 and 5172?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:27 AM and 3:52 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 511868?\nAnswer: 2, 7, 101, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0, 3, -5, 3\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -35*b + 12*b - 48066 - b**2 + 48021. Calculate x(-18).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the first derivative of -g**4\/4 - 19*g**3\/3 - 17*g**2\/2 + 13*g + 36. Let o be m(-18). What is the units digit of 2 + (5*-44)\/o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qbbcccqq. Give prob of sequence qbc.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -671.3 from -4074814.\nAnswer: -4074142.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24183.\nAnswer: 3, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 62362 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 52 + -45. Suppose 2*p = -m*p + 27. Suppose p*l + 12 = -48. Let k(f) = -2*f. Let q(r) = 15*r. Determine l*k(j) - 3*q(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a**2\/2 - 70*a - 931\/2 = 0. What is a?\nAnswer: -133, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -2*x - 54. Let o be (2 - 7)*17\/((-1530)\/252). Solve -8*i - o = x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = 5*t - 5*f, 86*t - 87*t - 26 = -4*f. Suppose -3*n = -0*n - 18. Solve -t*d + n = -0*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1471.8631 plus -1429845?\nAnswer: -1428373.1369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*p**2 - 33*p + 4 + 33*p + p**2.\nAnswer: 18*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -3*l - 13. Let x be z(-5). Differentiate -518*b + 11 + 11*b**2 + 518*b + 0*b**x wrt b.\nAnswer: 22*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q - 2*y - 12, 0*q - 4*q - y - 12 = 0. Let r(c) = 6*c**3 + 217*c**2 + 37*c + 40. Let a be r(-36). What is the second biggest value in q, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35411578.\nAnswer: 2, 17, 1041517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -145.544903 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11006 + -11001. Suppose -2*i - 2*i = -2*r - 212, 4*i = 5*r + 212. Let o = i - 28. What is the highest common factor of w and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) 5  (b) -5\/3  (c) -3  (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -169\/77 - -982\/693. What is the closest to -2 in w, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 (base 4) in base 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7140 is divided by 52?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -152640 = 1917*g - 327*g for g.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.2939942 to two decimal places.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.746 + -2?\nAnswer: 4.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -59476503*b**2 - 89691563 wrt b?\nAnswer: -118953006*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1860, 1878, 1922, 2004, 2136?\n\"Answer: 2*j**3 + j**2 + j + 1856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minutes before 6:08 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1230 = 187*d - 269*d for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, g: 14, k: 2}. Give prob of picking 1 g and 1 k.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3637.\nAnswer: 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (765\/(-18))\/(-17) - 1\/2. Solve s*x = -28 + 38 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes before 10:29 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 11952 and 277316?\nAnswer: 828620208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:06 AM and 1:50 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/6)\/(69\/(-1035))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -478*l**2 - 3*l**3 + l + 478*l**2 + l**3 wrt l?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -j - j. Solve j*x = w - 2, 0*x - 11 = -4*w + 5*x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 27*n - 467. What is u(5)?\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1731246?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times 327?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + 4. Let w be 4 + (6 - s - 4). Which is the nearest to -2\/15?  (a) w  (b) -1\/4  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**3 - 5*s**2 + 3*s**2 + 3*s**2. Let b be c(-2). Let h(f) = 10*f**2 + 5. Let o(v) = 23*v**2 + 11. Let k(r) = -7*h(r) + 3*o(r). Calculate k(b).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 556759041 to the power of 1\/2, to the nearest integer?\nAnswer: 23596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*o**2 + 3*o**2 - o**2)*(0 - 2 + 3) + 792 - 792 - 80*o**2 - 3*o**2 + 4*o**2 + 0*o**2 + (-1 + 1 - o)*(2*o + 2*o - 5*o) + 0*o**2 + 2*o**2 + o**2.\nAnswer: -77*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -730 + 590. Suppose -h + 14 = -0. Calculate the remainder when c\/h*2\/(-4) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**2 - 7*b - 1. Let x be p(-6). Suppose 61 = 2*k + 5*w, -19 = -k + x*w + 4. Suppose -k = 8*f - 12*f. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 5285*t**2. Let k(c) = -14*c**2. Give k(d(q)).\nAnswer: -391037150*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -227.48507 - 640.1?\nAnswer: -867.58507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 312009350.\nAnswer: 2, 5, 6240187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) -0.105  (c) -2392\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-25*p + 151*p + 292*p)*(0*p**3 - 3*p**3 + 2*p**3) + 6*p**4 - 10*p**3 + 10*p**3 + (p - 5*p + 2*p)*(-p + 2*p**3 + p).\nAnswer: -416*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 105768044 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 4*i = 12, 15 = -0*n - 5*n + 5*i. Is 5 a factor of 378\/12 + (-3)\/2 - n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 559*h**3 - 3*h**2 + 311*h**3 + 3*h**2.\nAnswer: 870*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 5, -22 in ascending order.\nAnswer: -22, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -23 - -26. Which is the nearest to 0?  (a) y  (b) -0.15  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3311*q = -3308*q - b - 14, 4*q - 30 = -q - 5*b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 - 1)*(-t - 2*t + 4*t + (-2 + 3 - 3)*(t - 3*t + 4*t) - t - 3 + 3 + t - 4*t + 0*t) in the form y*t + q and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14769 and 536031.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 minus -7.8?\nAnswer: 32.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0.1, -0.3, 14, -1\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/11*9*(-27)\/(-1215)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, -1\/4, -173?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2521 is divided by 97.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 10 = 3*s, -5*b + 0*s + 15 = -2*s. Let z be (((-16)\/10)\/(-2))\/(b\/265). Suppose d + 5*a + 53 = 0, -4*d - 3*a = -0*d + z. Is -54 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*k**3*m**2 + 18*k**3*m - 6*k**3 - 3*k**2 - 31048*k*m**2 - 2*k*m wrt k.\nAnswer: 18*k*m**2 + 108*k*m - 36*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (72\/(-81))\/((-72)\/112428).\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1048204?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -23931*u + 54060?\nAnswer: -23931","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:10 AM and 2:44 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes before 1:18 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2, -45, -2\/11, -0.3, -3923, -3, -3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000360774 to 5 dps.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by 146?\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a = -r - 13, -14*r + 24 = -3*a - 51*r + 33*r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*p - 11*p + 38*p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in seven halves of a week?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 - 1. Solve r = -5*w - 10, 12 = -d*w - 2*r + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.3  (b) -0.1379  (c) -0.26  (d) 1\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -10 - 2*z + 3 - 1 + 0. Let c(m) = 2. Let f(g) = 4*c(g) + h(g). Let b(y) = 14*y**2. Calculate f(b(w)).\nAnswer: -28*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 34338727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -180845.69 to the nearest 100.\nAnswer: -180800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*b = -4*b + 1392. Let t = b + 507. Suppose 2*o = 7*o - t. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -464*b + 35. Let c(m) = -424*m. Calculate c(s(u)).\nAnswer: 196736*u - 14840","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 6, -1, -12, -27, -46, -69?\n\"Answer: -2*j**2 - j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -243*n - 45. Let u(g) = 11*g + 2. Let m(t) = -4*h(t) - 90*u(t). Let v(c) be the first derivative of c**3\/3 + 1131. Give m(v(f)).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h - 9. Let b be x(14). Suppose 0 = -o - b + 7. What is the highest common factor of 22 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2416890 less than or equal to 2416901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 102200 (base 3) to base 8\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.5 from 0.316018648.\nAnswer: -0.183981352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5671?\nAnswer: 53, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*p**3*q*s**3 - p**3*s + 3*p**2*q*s**2 - 24*p*s**2 + 79*q*s**3 wrt s.\nAnswer: 18*p**3*q + 474*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 = 78*r - 100. Suppose 13 = 3*n - p, -2*p + 0*p = 8. Factor -n*y + 9*y - 2*y**3 + 350 - 342 + 2*y - r*y**2.\nAnswer: -2*(y - 2)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46 - 174 = -2*o + 24*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 20697377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.232 + -15.537. Let t = -13.8 - k. Round t to 2 dps.\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-3\/8))**(-47)\/(r**(-6\/5))**(-4\/11) assuming r is positive.\nAnswer: r**(7563\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -178 + 190 = 6*j + 3*t, -5*j - t + 7 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 + 120?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 25 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00003117 rounded to six decimal places?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the first derivative of 21*b**2\/2 + 5. Let y(f) = -7*f**2 - 5*f + 5. Let x(u) = -3*u**2 - 2*u + 2. Let v(a) = 5*x(a) - 2*y(a). Determine s(v(j)).\nAnswer: -21*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**3 - 4*s**2 + 4. Let j(g) = -g**3 - 10*g**2 + g + 13. Let k be (3\/6)\/((-2)\/40). Let u be j(k). Calculate y(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25648 is divided by 2554?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (-5 - ((-6 - 1) + -5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*u**5\/3 - 201464*u**4\/3 - 1007216*u**3\/3 + 201464*u**2\/3 + 335740*u = 0. Calculate u.\nAnswer: -50361, -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -493 less than -494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -292*x. Let z(k) = -6*k - 3079. Determine z(d(o)).\nAnswer: 1752*o - 3079","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -677 - 928 - 263 + 2*n + 430 - 416 as p + q*n and give p.\nAnswer: -1854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1298573 is divided by 7200?\nAnswer: 2573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 1319.9 to the nearest ten.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 14212095 to the power of 1\/3, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 31679*d + 112631.\nAnswer: 31679","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the first derivative of -n**5\/30 + n**4\/8 - n**3\/6 + n**2\/12 - 24. Factor m(k).\nAnswer: -k*(k - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-2\/5))**(-1\/48)\/((z*z**(-1\/5)*z)\/(z**(-2\/13)*z*z)))\/(z**(-1\/8)*z**(5\/3))**(-2\/153) assuming z is positive.\nAnswer: z**(3563\/47736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*n - 4*b + 16, 5*n - 5 = 5*b. Find the third derivative of 4*d**3 + 1 + d**3 + 0*d**3 + 8*d**4 + 18*d**2 - 2*d**n wrt d.\nAnswer: 192*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (4*-1*sqrt(91) + -6*(sqrt(91)*2 - sqrt(91)))\/(sqrt(77)\/(sqrt(99)\/(sqrt(45)\/sqrt(5)))).\nAnswer: -10*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aajpwjj. Give prob of picking 2 j, 1 a, and 1 w.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 225 = -63. Suppose -5*c + a = 52. Solve j - c*w - 11 = 0, 5*w + 33 + 12 = -5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*b = -103 + 39. Let c = -157 + 167. Let f(r) = 4*r + 9 + c*r - 13*r. What is f(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 626 - 24. Suppose n = -3*l + 5255. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -57*y - 243. Suppose -10*v + 15*v - 1 = 2*o, 22 = -2*o - 2*v. Calculate the least common multiple of 6 and j(o).\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1823 and -4.1674999.\nAnswer: -1827.1674999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:38 AM and 6:21 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 5326, 5339, 5350, 5359, 5366?\n\"Answer: -w**2 + 16*w + 5311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, -11, -8 in ascending order.\nAnswer: -11, -9, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-11 - (-19 + 7)) + -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes after 2:44 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*g + 5*t + 10, t = -9*g + 7*g - 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 181629744 divided by -16\nAnswer: -11351859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -30989302.797 to the nearest one thousand.\nAnswer: -30989000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 2, -4, 3, 1066 in descending order.\nAnswer: 1066, 6, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 39*(16\/(-18))\/2*-3. Calculate the greatest common factor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4, -12, -28, -58, -108, -184, -292?\nAnswer: -438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnnnpnnnnnnnnnnnnnnn. What is prob of picking 1 n and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange s**2 - 5*s**3 - 1 + 1 + s + 4*s**3 to the form g*s + z*s**2 + c + q*s**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 40 (base 9) to base 7.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -15 + 23. What is the smallest common multiple of j and 0 + (-5)\/((-15)\/27)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 - 2)*(3 - 16*v + 24 + 17*v).\nAnswer: -v - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 10.35244+72.855\nAnswer: 83.20744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11 + 16. Suppose -3*q + 2*q = -8. Calculate the remainder when q is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -46.163073 to 2 decimal places.\nAnswer: -46.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the third derivative of 0 - 1\/588*s**8 + 0*s**3 + 2\/735*s**7 - 1\/105*s**5 + 1\/210*s**6 + 0*s + 3*s**2 + 0*s**4. Factor b(t).\nAnswer: -4*t**2*(t - 1)**2*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30378 = 7*m - m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -660*r - 12 - 4 - 5.\nAnswer: -660*r - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**2 + o + 4. Let j be b(-3). Let n = j - 15. Put 5, -10, n in decreasing order.\nAnswer: 5, n, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22 (base 12) to base 2\nAnswer: -11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 14 - 12 = 0. Is 20 a factor of (-16)\/(-4) - (-592)\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m + 150 - 23 = -5*n, 3*m - 49 + 61 = m - 2*m for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 37911940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1285?\nAnswer: 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*v - 5*v - 3*v)*(3 + 11*v**2 - 8*v**2 - 2*v + 0*v**2).\nAnswer: -51*v**3 + 34*v**2 - 51*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-8 + 7)\/(-1 - 13\/(-14)). Suppose -f + x = -4. 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 40099 - 3*f**3 - 40099.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.1 + 1.9. Let r = p + -1.5. Let b = 7.7681 + -3.7681. What is the closest to 2\/5 in r, b, -2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 - (-3 - (-1 + -3) - (40 - (23 - 18)))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 105 - 153. Let n = 63 + y. Let x = n + -15.2. What is the closest to -3 in -1, x, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = n + 14932*s - 14931*s, -2*n + 12 = n - 5*s for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -3*q**2 + 2*q**2 + 3*q**2. Let l(s) = 9*s. Calculate i(l(n)).\nAnswer: 162*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 0, -2*u + 10 = 2*c - 4. Calculate the remainder when u is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 375303251 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**3 + 9*x**2 + 11*x - 8. Let r be l(10). Let m be -2 + 2*33\/30. Find p such that 1\/5*p**r + m*p + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 85078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1866 and 6?\nAnswer: 1866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 2*k - 0*k + 18, -5 = k. Suppose d*q = 7*q - 114. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18099?\nAnswer: 3, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes before 3:02 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the first derivative of -8\/5*y**5 + 0*y**3 + 0*y + 2 + 0*y**2 + 1\/2*y**4. Solve t(m) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4552 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0, 1, -12, 4.\nAnswer: -12, -3, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -2*m, 3*r - 257*m + 255*m = 36. Suppose 5*z - 45 = 5*o, -o = 4*o + 20. Solve -4*f = t - z*t + 16, -r = -3*t + f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -49*o - 1986. Calculate l(-42).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -18 + (17 - (-23 + (58 - -10))) + -3\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 27 - 29 - (-1 - -4) - (10 + -6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.79347096 rounded to 2 dps?\nAnswer: -0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8964980*m**2 - 8964968*m**2 - 3 + 3.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*h = -0*h - 71 + 14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = 5*j - 64105, 6*j - 7*j - 2*x = -12822. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -930 - 805*o**3 - 194*o - 646*o + 160*o**3 + 1530*o**2 + 10*o**4 + 2095*o = 0. What is o?\nAnswer: -1, 1\/2, 3, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**2 + 5*j + 5. Let p(g) = -2*g**2 + 11*g + 11. What is 2*p(d) - 5*y(d)?\nAnswer: d**2 - 3*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 - (12\/7 + -2). Suppose -9*h = h + 10. Is b > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -4 + 4*21\/12. Let h be (k*2\/(-6))\/(2\/(-8)). What is the derivative of 8912*v - 8912*v + 3*v**h + 34 wrt v?\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 8 = l. Let n = l + 4. Suppose 0 = n*f - 13 - 17. Solve f = 4*u + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -6*(-1)\/(-2)*-1. Differentiate -q + 4*l**2 + 6 - l + l wrt l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -25, 69, 407, 1109, 2295, 4085?\nAnswer: 6599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/11?  (a) -1  (b) -0.4  (c) 0.5  (d) -20  (e) -10  (f) -0.663\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - v = 9. Let u(f) = f**3 - 9*f**2 + 2. Calculate the remainder when 2 is divided by u(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5580 + -562. What are the prime factors of c?\nAnswer: 2, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -27*a**3 + 121*a**5 + 25*a**3 + 75*a**5 + (2*a - 3*a**5 - 2*a)*(-1 + 1 - 1).\nAnswer: 199*a**5 - 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 34*u**3 - 33*u**3 - 11*u + 17995 - 17995 + 4*u**2 to the form y + p*u**3 + j*u + t*u**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 18*v**2 + 2*v - 2. Let l be h(2). Let j = 112 - l. What is the remainder when j is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -365*v**6 + 6*v**4 - 13*v**3 + 46831*v**2 + 18*v?\nAnswer: -43800*v**3 + 144*v - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 12 = -x + 2*k, -4*x + 16 = -k. Is (-2)\/4 + 78\/x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-5)\/(-16)*28\/(-49). Let s = -7\/435 + -2501\/12180. Let r = s + q. Is -0.52 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -12\/1319, -3 in increasing order.\nAnswer: -3, -1, -12\/1319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -232 + 232 = k. Suppose 0 = -s - 3*i + 9, s + i = 5 - 0. Let p = 4 - s. Solve k = -y + 2 + p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (88\/32)\/(4\/((-64)\/(-2)))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -96500.081 minus 18.4902?\nAnswer: -96518.5712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 2*s**2 + 199*s + 10. Let o(a) = 15*a**2 + 1462*a + 71. Let m(w) = -3*o(w) + 22*r(w). Suppose 0 = 5*h - 2*d + 57 - 8, -3*d = -6. Calculate m(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -303*o - 8*o**2 - 2*o**2 + 11 + o**3 + 2*o**2 + 302*o. Let z be f(8). Solve z*m + 0 - 15 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 2*q**2\/7 + 424*q\/7 + 22472\/7 = 0.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 74*u + 2813. Let h be r(-38). Sort -3\/5, 3, h, 5, 0.4.\nAnswer: -3\/5, 0.4, h, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes after 7:42 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4 + (-3 - -1)*(-3 + 4) + -1. Let k be 3*(-3 - -6)\/3. Sort k, -7, r in ascending order.\nAnswer: -7, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 2*o**3 + 4*o**2 + 4*o + 2. Let i be ((-84)\/(-8) - -3)\/((-1)\/2). Let m = 32 + i. Suppose -3*l - 3*r = -4*r + 10, -10 = -m*l - 5*r. Determine c(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -15*r**3 + 108*r + 11. Let p(g) = -8*g**3 + 54*g + 6. Calculate -6*n(h) + 11*p(h).\nAnswer: 2*h**3 - 54*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 46 + -33. Let p = -8 + h. Let x = 12.872 + 12.128. Which is the second biggest value?  (a) x  (b) 4  (c) -3  (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {d: 13, l: 1, j: 3}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*c**3*l**2*q - 3*c**3*l*q**2 - 29*c**3*l*q - 15*c**2*l - 2037315*c*l**3*q**2 + c*l**3*q + 6*c*l**3 + c*q - 6*l**2*q wrt q.\nAnswer: -6*c**3*l - 4074630*c*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12737 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.76 != -13693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1035 - -10?\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*j = -20*j + 10. Let t(q) = -q**3 - 5*q**2 + q + 4. Let b be t(j). Put b, 3, -4 in increasing order.\nAnswer: -4, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*h + 10. Suppose -30 = -2*t - 2*j, -h*t + 2*t = 2*j - 14. Calculate the remainder when 47 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(99)\/((sqrt(99)*5)\/sqrt(11)) - (((sqrt(121) + sqrt(121)*-5 + sqrt(121))\/sqrt(11) - sqrt(11)) + 5)))**2.\nAnswer: -672*sqrt(11) + 87616\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r + 2*r - 3*r)*(3 - 1 + 0).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:34 PM and 5:35 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w**5 - 7317505*w**4 - 36587615*w**3 - 51222695*w**2 - 21952590*w = 0. What is w?\nAnswer: -3, -1, 0, 1463506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**2 - 11*a + 10. Let z be k(10). Let s be z + 6 + -4 + 6 + 2. Calculate the greatest common divisor of 130 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 54160?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the second derivative of 3*g**5\/10 + 11*g**3\/6 - 89*g - 2. Let a(j) = -7*j**3 - 11*j. Determine -4*a(l) - 5*t(l).\nAnswer: -2*l**3 - 11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in thirty-two fifths of a microsecond?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 23 = -32. Let n be (-8)\/12*c - -4. Let f be (-4 + n)*176\/32. Let z(q) = -q**3 - 10*q**2 + 10*q - 7. Determine z(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -704*v - 6832347 + 18332891 = 0. What are the prime factors of v?\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 3*f**2. Let y(p) = -54*p**2. Calculate y(n(h)).\nAnswer: -486*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 t, and 1 n when three letters picked without replacement from wwwtwtwwrwowwntwn.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z + 25, 0 - 2 = a - 4*z. Let n(o) = -801*o**2 + 4021*o + 1. Let m be n(5). Calculate the greatest common factor of a and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -59724, -121059, -182394, -243729, -305064, -366399?\n\"Answer: -61335*r + 1611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -103 + 91. Let u be -6*((-11)\/d - 3\/12). Which is the biggest value?  (a) 93  (b) 3  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2491 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 17, 2 in ascending order.\nAnswer: -1, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 320 + -124. Suppose 2*o + 0*o - d = 0. Find the common denominator of o\/12 - (2 + -1) and 47\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 93 - 94. What is the closest to i in -1, 5\/2, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.6 + -0.6. Let k = -2.98 + 2.7. Let w = k + 0.48. Which is the nearest to n?  (a) -5  (b) w  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11)\/(-4)*64\/((-67584)\/(-144))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 14 + (-9 - (12 - 12))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 a when two letters picked without replacement from jjajyyyjyfjjjccjj?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*a - 72 = -8. What is the common denominator of -5\/6 and (-17)\/(-8) - a\/16?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -144 - -78. Let o = 2318.9 - 2319. Which is bigger: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -12057, 0 in decreasing order.\nAnswer: 0, -5, -12057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d = -2*y - 27, 24*d - 56 + 68 = 4*y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.089g to milligrams.\nAnswer: 5089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 1039*h - 152. Is d(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10 + -26. Let q = 15 + u. What is the second biggest value in q, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and 4.1?\nAnswer: -16.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2051628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -82.1 or -4.635?\nAnswer: -82.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 + -4. Let v = 82 + -77.1. Let z = -4.92 + v. Which is the third smallest value?  (a) z  (b) x  (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 37660 and 95620?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 + (436800\/(-465))\/52?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n + 3*q = 0, 3*q + 5 = -5*n + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-10 - -3) + (-13 - (-549)\/27). Factor 1\/3*s**3 - z*s - 37\/3*s**2 + 37\/3.\nAnswer: (s - 37)*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 48 and 1024?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 6 - 14. Let b be (v - -4) + -7 + -1. What is the tens digit of 3040\/56 + b\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -2*q**2 - 7105*q + 35580. Give x(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**2 + 12*s + 11. Let w be f(-11). Suppose w = 6*o - o - 1390. Suppose 0 = -d - 3*n + 52, 0 = 5*d + n - 4*n - o. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 5185003 + 62*c**2 - 5185003. Let a(b) = 17*b**2. Determine a(t(n)).\nAnswer: 65348*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -2*x**2 + 15*x - 14. Let z(t) = 10*t + t**2 - 12*t - 2*t**2 + 2*t**2. Let i(g) = u(g) + 3*z(g). What is i(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -3300878109 and 0.5.\nAnswer: -3300878108.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (7\/2)\/((-7)\/(-42)). Let h be 22\/132 - 130\/(-12). Find the first derivative of h - a*u**3 - 7 + 12 + 4 wrt u.\nAnswer: -63*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43135285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19, -202, -699, -1666, -3259, -5634, -8947, -13354?\nAnswer: -19011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 33570869 and 59728.\nAnswer: 537133904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**3 - 5*n**2 + 10*n - 21. Let g be q(4). Solve 2 = -g*i + 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -905 greater than -417032\/461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 9 + 0 = 0. Suppose -m = 5*w - 13, -5*m + t = w - 4*w. Let y = m - 2. Calculate the lowest common multiple of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, v: 2}. Give prob of picking 1 t and 1 v.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 20 = 3*d, u + 4 = -2*d + 14. Suppose -2*h + 560 = 2*n, 17*h - 13*h - d*n = 1096. Does 25 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 5*s - 1. Let n be y(1). Suppose n*w = 4*r + 572, -4*w - 286 = -6*w + 4*r. What is the highest common factor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -4*r - 41. Determine f(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 39 + -40 - (0 - -29). Let w = 95 + c. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2148, -2366, -2944, -4068, -5924, -8698, -12576, -17744?\nAnswer: -24388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29, 67, 119, 191, 289, 419?\nAnswer: 587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.07 and -31799.\nAnswer: -31798.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 471 + -267. Let d = u - 607\/3. Determine a so that -1\/3 + a**5 - 1\/3*a - d*a**4 - 2\/3*a**3 + 2*a**2 = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2553 + -2548. Suppose -4*c - c - 30 = -4*n, 25 = 3*n - 5*c. Solve -n*p - w - 20 = 4*w, 4*w = r*p - 16 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the third derivative of -s**6\/120 - s**5\/12 + s**4\/8 + 8*s**3\/3 - 107*s**2 - 9*s. Calculate t(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-2)*l**7*l)\/(l*(l\/l**7)\/l*l*l**(2\/39)*l) assuming l is positive.\nAnswer: l**(388\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -18289 - -35241. List the prime factors of j.\nAnswer: 2, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 403 is divided by 67?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -2134 divided by -1067\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from {c: 1, x: 6, z: 1, o: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, n: 3, y: 6, f: 3}. Give prob of sequence yyyc.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the first derivative of w**4\/6 + w**3 - 7*w**2\/2 + 4*w + 1. Let i(v) be the first derivative of q(v). What are the prime factors of i(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x + x - 6, -4*x = t + 1139. Let m = 1743 + t. Suppose m = 6*j + 188. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 835?\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.7 + 5. Let f = 4 - w. Suppose 4*y - y = 9. Which is the nearest to 0?  (a) 0.5  (b) f  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.011324*6.9\nAnswer: 0.0781356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -3*s**3 - 28*s**2 - 5*s - 21. List the prime factors of i(-12).\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 378 is divided by 77?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -p + 10*p + 6*p - 4*p.\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 5*k**4 + 2550*k**3 + 176035*k**2 + 2500890*k + 2327400 = 0?\nAnswer: -431, -60, -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the second derivative of 2068*r**7\/21 - 203*r**4\/3 + 2795*r + 2. Find the third derivative of g(y) wrt y.\nAnswer: 248160*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1287 - 21*d - 455 + 20*d.\nAnswer: -d + 832","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1422 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-60)\/16*(-96)\/60\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = 5*q + 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.3 - 2.1. Let q = k - -0.9. Which is the nearest to 0?  (a) q  (b) -0.5  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8\/(-12) + (-2)\/(-3) - -45 and 25.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 66) + 396 + -360?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 39 - 38.77. Let z = 0.230011 - d. What is z rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -24.02411 + 0.01411. Let o = 174 - 150. Let g = h + o. Which is bigger: -1\/4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-7 + (-1 - -4) - -9) + -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-722)\/(-10) + -3*8\/120. Find the common denominator of -71\/24 and (-8)\/32 - (98\/o - 0).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 488*d - 3*d + 794 = 12434 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 i when two letters picked without replacement from {b: 5, i: 1, h: 3, s: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 949, 21, 13\/29 in increasing order.\nAnswer: 13\/29, 21, 949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 12\/21 + 803\/77. Let k = -8 + z. What is the smallest common multiple of k and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 - 3)*(2 - 2 - b) + (3*b + 3*b - 5*b)*(-1 + 1 + 1)*(-1 - 6 + 19).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 137 = 4*r + 4*z, 0 = -5*r - 2*z + 184. Suppose -5 + r = 11*p. What is the second derivative of -9*f - 1776*f**3 + 1765*f**p + f + 40*f wrt f?\nAnswer: -66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ebembtmmdtemmebm. Give prob of picking 1 m and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pccepcpccccppcccepc. What is prob of sequence eepp?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 9?  (a) 36  (b) 47  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -75856*p**2 - 4*p**3 + 75856*p**2 + p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*c - 46 + 37 = -225. Solve 5*u + 5 = 5*k, -8*u - 5*k = -c*u - 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -386 - 168084\/(-435) - 443*(-1)\/5.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**3 - o**2 - o - 1. Calculate n(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*o**2 - 47*o**2 - 3893*o + 89*o**2.\nAnswer: 24*o**2 - 3893*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6731794825 rounded to three decimal places?\nAnswer: 0.673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 9\/7625 and 17\/87718.\nAnswer: 10964750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.03491kg to nanograms.\nAnswer: 2034910000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let f be (4\/(-14))\/(3\/21). Sort 4, f, 1.\nAnswer: f, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*o + 0*o + 2*o)*(963 + 215 - 246)*(-8 + 3 + 10 + 16) in the form c*o + h and give c.\nAnswer: -39144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-3)\/3)\/(-3))\/(2\/(-96))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -334*k**2 + 173*k**2 + 3*k - 2*k + 53 - 2*k + 169*k**2 in the form p + q*k + h*k**2 and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -63\/464 and 37\/13144.\nAnswer: 762352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 46547573693 and 1136?\nAnswer: 46547572557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 18.81, 1, -490?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -28*r + 5*r + 46. Factor -3\/2*p**r + 0 + 3\/2*p.\nAnswer: -3*p*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27\/4*z**3 - 5499\/4*z**2 - 609\/4 + 3657\/4*z = 0.\nAnswer: 1\/3, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 60 and 140.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/12)\/(135\/(-40))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17 (base 12) to base 2.\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 33853637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 522960541?\nAnswer: 19, 401, 68639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -0.211096 * -164\nAnswer: 34.619744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -27 + 59. Suppose -5*p + o = -0*s + 3*s, -4*s = -2*p - 8. Suppose -3*t + 8*t - p = 4*v, 0 = t - v. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2 - (-2 + 2) - (-128)\/(-72). Find a such that -32\/9*a**4 + 80\/9*a**3 - q - 22\/3*a**2 + 20\/9*a = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -530, 1\/5 in ascending order.\nAnswer: -530, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 3*k**2 + 1 + 7 - 8. Suppose -1 = -2*m + 5. Let w(o) = m*o + 0*o - 3*o - 2*o. Calculate w(y(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 522 and 10556?\nAnswer: 95004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 610 = -5*t + 2178, 0 = -2*t - a + 627. Let v be (0 + -58)*t\/16. Let b = 9025\/8 + v. Calculate the common denominator of b and -67\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3*(286\/3 - 2). Find the common denominator of (-6)\/8 - (-1358)\/q and -71\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*f - 3*f + 4*f)*(700*f + 159 - 159 - 2262*f).\nAnswer: 3124*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.37 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -637*q - 4313 + 2291 = 4985 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(-9))\/j*j\/((j*j*j\/(j**(2\/11)*j*j)*j)\/j) assuming j is positive.\nAnswer: j**(-97\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-21)\/224)\/((-5)\/(1300\/(-39)))\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (110*v - 212*v - 12 + 121*v + (2 - 1 + 0)*(3*v - 4*v - v) + 2*v + v - 2*v)*(12*v**3 - 12*v**3 - 24*v**3).\nAnswer: -432*v**4 + 288*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 + -278b8c?\nAnswer: -278b93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -2*n - 5. Let y be k(-5). Suppose 4*l - 59 = 3*l. Let f = -58 + l. Sort f, -5, y in ascending order.\nAnswer: -5, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2143 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1925)\/105 - (-152)\/8. What is the closest to k in 0.4, 159, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 39\/486130 and -25\/36.\nAnswer: 8750340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 124\/3 + -42. Which is the closest to -2?  (a) 0.3  (b) -3  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**2 - 21*p - 50. Calculate b(-19).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n**(-1\/7)\/n)\/n)\/(n*n*n**(-2\/7)\/n))**26 assuming n is positive.\nAnswer: n**(-520\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*x + 8 = 20*x. Let h(s) = -s**2 - 1. Let z(u) = -6*u**2 - 3*u - 3. What is x*h(k) + z(k)?\nAnswer: -2*k**2 - 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -6390, -6389, -6388?\n\"Answer: y - 6391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 851\/(-555) - (2 + -5)*-1. Which is the second biggest value?  (a) -0.04  (b) g  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/1449 and 2\/(-168)*525\/(-350)*103\/9?\nAnswer: 11592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 30 = -2*n, -d + 33 = -2*n + 2*d. Let x = -65 + 72. Suppose -5 - x = w. Are w and n unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -30*s - 5. What is d(-2)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p - 1 + 4. Suppose -p*j + 38 + 22 = 0. Let t = -8 + j. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9 + 13. Suppose 0 = 5*y - 10*y. Solve y*t + j*t + 3 = 3*l, -5*t + 3 = 3*l for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**3 + 7*o**2 - 160*o + 448. Let f be n(3). Solve -7*s - f*i = -6*i - 11, 3*i + 8 = 2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 692536419 to the power of 1\/2, to the nearest integer?\nAnswer: 26316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 55361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 90 and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r + 46 = 50 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*-2*sqrt(220) + sqrt(220))\/(-6*sqrt(15)\/sqrt(3)))\/((sqrt(576) + (sqrt(576) - (3*sqrt(576)*5 - sqrt(576))) + sqrt(576) + sqrt(576))*-6).\nAnswer: -sqrt(11)\/1440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/2*60\/18. Suppose -f = -r*f + 576. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -4*120\/32 + 6 - -1202 is divided by 62.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 48800683?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence opxj when four letters picked without replacement from oxpojxohjo?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -3*k**2 - 2*k. Let s = 4 - 8. Let w be s\/10 + 210\/25. Let r(c) = -2*c**2 - c. Determine w*r(d) - 5*p(d).\nAnswer: -d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -1\/9, 6, -1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-11)*v**(1\/19)\/v*v\/v**(2\/9)*v*v**(15\/8) assuming v is positive.\nAnswer: v**(-11347\/1368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -8*s + 394 + 650, 3*y + 497 = 4*s. Solve 0 = 13*l - s + 89 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 + -11. Let p = 4.4613 + 0.5387. Which is the closest to -0.4?  (a) p  (b) -4  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 7126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -294952 or -294955?\nAnswer: -294955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-2)*(35\/(-14))\/(15\/(-9))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**2 - 4*s - 3. Let u be p(-3). Suppose -114 = -4*n + u. Let d = -37 + 55. What is the remainder when n is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -12, 5\/4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1467 and 70905.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1\/116, 2\/25, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10*n**3*q**3*u**2 - 18*n**3*q*u - n**2*q**3*u**2 - n**2*q - 13*q**3*u wrt n.\nAnswer: 60*q**3*u**2 - 108*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -67, -71, -75, -79, -83, -87?\n\"Answer: -4*n - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6250 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/3  (b) 5  (c) -1.331034  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 10) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in 2, 62, -0.44, -27\/7?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10\/53, -0.1, -216 in decreasing order.\nAnswer: -0.1, -10\/53, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -23\/17, 3, -56, -4?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1357.\nAnswer: 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.042131243 to three decimal places.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -685768 divided by 92.\nAnswer: -7454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 3*h = -1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 61.43339963 - 61.4364. Let w = 0.003 + d. Round w to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -232 or 0?\nAnswer: -232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 2.765915 litres?\nAnswer: 2765.915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3, -0.5, 1\/4, -5, -0.22, 0.13?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 3*i**2 + 155*i + 393. Let x be u(-49). Which is the third smallest value?  (a) x  (b) -6  (c) 3\/139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -3*m - 37. Calculate the remainder when 29 is divided by w(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 731 is divided by (3\/10*600\/240)\/(1\/80).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(110)*-2 + sqrt(110))\/((5*sqrt(60))\/sqrt(6)).\nAnswer: -7*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*m + 162 = -9*m. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7391?\nAnswer: 19, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i + 5 = -264*v + 266*v, 5*i = -4*v + 21 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the first derivative of 5*k**3\/6 - 55*k**2\/4 - 255*k + 490. Factor y(a).\nAnswer: 5*(a - 17)*(a + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9 + 9 + 2*g**5 + (-8*g**4 + 0*g**4 - 2*g**4)*(g + g - g).\nAnswer: -8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 3, -16924 in increasing order.\nAnswer: -16924, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -89*i = -94*i - 45. Let c be 1\/6*16\/i. Is -1 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c - 2*x - 1151, -6*x - 760 = -2*c - x. What are the prime factors of c?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:58 AM and 7:26 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 2 b when four letters picked without replacement from {v: 3, b: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 58.6 + -57.6. Put -4, 0.8, 1\/4, u in increasing order.\nAnswer: -4, 1\/4, 0.8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*1*((sqrt(720) - (-1 + -1 + sqrt(720)) - ((sqrt(720) + (sqrt(720) - (sqrt(720) - 1*sqrt(720))))**2 + -2)) + (-1*sqrt(720)*-2*6)**2)*4.\nAnswer: 2419296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1216503.\nAnswer: 3, 17, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 129686329?\nAnswer: 129686329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -723, -3, 56 in increasing order.\nAnswer: -723, -5, -3, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*c*s**4 - 39*c*s**3 + c - 2*s + 141 with respect to s.\nAnswer: 12*c*s**3 - 117*c*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 13) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1391 and 642?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (-2 + (-7 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-26) - 11*(-2)\/26.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 187 divide 49347243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**3 + 9*u**2 + u + 2. Let x(w) = 4*w**3 + 27*w**2 + 2*w + 6. Determine 8*j(s) - 3*x(s).\nAnswer: -4*s**3 - 9*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -9*y - 3. Let t be i(-5). Suppose -z - 6 = -4*q + 1, -5*q = 3*z - 30. Suppose 0*w = q*w - t. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -6*u + 65. What is the remainder when 14\/(6\/4 + -1) is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l - 2. Let k be h(-2). Let t = -1 - k. Solve a = -2*o + 7, -t*o = -7*o + 4*a - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 2 - 34 = 0. Suppose 3*o - 6*o = -u. Suppose k = 4*k + o. Let q(j) = -j + 3. Give q(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3470472*i**2 - 2*i + 1272091 wrt i.\nAnswer: -6940944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1954 - 1953. Put 4, -2, t, 172 in increasing order.\nAnswer: -2, t, 4, 172","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s + 3*s - 4*s)*(2 - 2 + 2*s**4) + 36*s**2 + 2*s - 42*s**2 - 2*s**5 - 4*s.\nAnswer: -4*s**5 - 6*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gjoopoj. Give prob of picking 1 g and 1 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -30433*o. Let h(y) = 4*y**2 - 10*y + 3. Give h(l(f)).\nAnswer: 3704669956*f**2 + 304330*f + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 40 and ((21\/9)\/(1\/48))\/2?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2016) + -4*sqrt(2016)*-4)\/((sqrt(70) + 4*(sqrt(70) + sqrt(70)*2 - sqrt(70)))\/(sqrt(40)*-6)).\nAnswer: -272*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 times -2.296?\nAnswer: -0.6888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 18?  (a) 4\/3  (b) 0.5  (c) -2\/11  (d) -75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nsggssngngs. What is prob of sequence ngn?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, n: 2, t: 4, h: 1}. Give prob of sequence hnnt.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f - 30 = -2*f. Suppose 2*t + f*d - 2 = 0, 4 = 12*t - 8*t - 3*d. Let v = 3434\/13 + -264. Which is smaller: v or t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 109 is divided by 2880\/100 + -29 - 176\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/10 and -11\/8618.\nAnswer: 43090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 + -2632355431?\nAnswer: -2632355436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that 3*l**5 - 84*l**4 - 7533*l**3 + 138270*l**2 + 3984288*l + 18783072 = 0.\nAnswer: -42, -11, -7, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-92)\/(-322)*1\/(-2)*98.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 103 is divided by ((-52)\/78*(-2 + -4))\/((-1)\/(-7)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 40 = -8*g. Suppose w - 2*s + 3 + g = 0, -3 = -s. Sort w, -4, 1, 5.\nAnswer: w, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 - t**2 - t - 1. Let d(r) = -4 - 3*r - 3*r**2 + 3*r**2 - 1 - 4*r**3 - 3*r**2. Let g(q) = -d(q) + 3*m(q). What is the derivative of g(p) wrt p?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 6*x**2 - 7*x + 11. Let f be z(5). Suppose -5*s = -104 - f. Let m = s - 21. Solve -2*a = -7*a + m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**2 + 9*l. Determine m(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 24919139 to the power of 1\/2, to the nearest integer?\nAnswer: 4992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/16 and 26\/(-14) + (-15)\/(-10).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3777 (base 16) to base 10.\nAnswer: 14199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7807 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 3*u + 4 = 2*q, 2 = -u. Let w = 36 + -41. Which is the nearest to q?  (a) w  (b) 0.1  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/5, 6\/85, -3, 0.3, 2 in ascending order.\nAnswer: -3, -2\/5, 6\/85, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -36115 (base 15) in base 10?\nAnswer: -172370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -97 - -483\/5. Let h be 0 + (-4)\/(-10) + 0. Let w = -41.8 + 37.8. Which is the biggest value?  (a) y  (b) h  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-10) + (-1657)\/(-10)*4. What is the highest common divisor of 51 and i?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**2 + 31*s - 23. Let a be b(-32). Let f be -2*(1 - (2 - 0)). Suppose -28 = -3*x - 2*k, -k + a = x - f. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2*-2)\/(4\/(-6)). Let d(n) = -4*n - 7 + n - 2*n. Let k(t) = 4*t + 6. Give v*k(y) + 5*d(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 625\/90799 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (1 + sqrt(1200))**2.\nAnswer: 40*sqrt(3) + 1206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express k + 2*k**2 + 1724 - 4*k**2 - 1725 as q + y*k + n*k**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n\/((n\/(((n*n**(-9)*n)\/n)\/n*n))\/n)*n)**(2\/73))**(-38) assuming n is positive.\nAnswer: n**(380\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes after 6:41 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -1269*l - 45. What is the hundreds digit of d(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*o - 3*g + 27, -5*o - 687*g + 27 = -684*g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -291*l**2 - 8 + 8 + 271*l**2.\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**2 - 1. Let l(z) = 3*z**2 + 14. Calculate -l(a) - 6*v(a).\nAnswer: 3*a**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 2*n**3 + 4*n**2 - 78*n + 1. Determine f(5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14, -9, -54, -127, -234, -381, -574, -819?\nAnswer: -1122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -132, -126, -116, -102, -84, -62?\n\"Answer: 2*a**2 - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -234.244043 + 1.6.\nAnswer: -232.644043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a*a**(-8)*a**(-17) assuming a is positive.\nAnswer: a**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1886 by 943.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 104252 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.28 - 508.\nAnswer: -508.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7065, 1, 54, -5, -4, 4.\nAnswer: -7065, -5, -4, 1, 4, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 494*b - 488*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Are -117.12611 and 0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**2 - 1. Suppose k - 24 = 5*t, -4*k + 5*k + 4*t = -21. Suppose 5*g = 4*g + 39. Let z(d) = g - 16 - 22. Determine k*z(q) - l(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -6.3401 times 0.01\nAnswer: -0.063401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (5 + sqrt(2205)*1 + -4 + (sqrt(2205) - sqrt(2205)*-2))*-6)**2*1 + 0.\nAnswer: 2016*sqrt(5) + 1270084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 5225*l + 84. Let p(c) = 5227*c + 72. Let k(o) = -7*p(o) + 6*u(o). Let t(w) = 2*w. Give k(t(d)).\nAnswer: -10478*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 3, 1\/4, 1\/13 in descending order.\nAnswer: 3, 1\/4, 1\/13, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c - 25, -4*r - 32*c - 40 = -28*c. Put r, 1, -15, 2 in descending order.\nAnswer: 2, 1, r, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 192.6148 rounded to 0 decimal places?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-273)\/(-6) - (1 - (-3)\/(-2)). Let z = n - -20. What is the highest common factor of z and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 47096578 by 2.\nAnswer: 23548289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -11*g + 40. Let n(x) = 23*x - 93. Let a(k) = 7*j(k) + 3*n(k). What is a(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -163*a + 330. Is j(-19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -2*y**3 - 15*y**2 - y + 22. Give s(-5).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 0.2, -13453\/171 in decreasing order.\nAnswer: 0.2, -9, -13453\/171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 453965611 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 27 - 17 - 10 - 47*z. Let s(m) = 5*m**2 + 2. Let c(k) = 17*k**2 + 7. Let q(n) = -2*c(n) + 7*s(n). Give q(p(f)).\nAnswer: 2209*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 5*k - 4. Let o = -9 - -12. Let z(g) = -9*g + 7. Let i be (((-2295)\/34)\/(-27))\/((-1)\/(-2)). Determine i*u(h) + o*z(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1.1464 times -297\nAnswer: 340.4808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 2*u, 7*u - 2*u = 2*h - 253. What is the remainder when h is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 11*z + 15*z + 4 = 0, -4*z - 8 = 0. Solve -t*l = -5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the third derivative of 0*l + 0 - 1\/6*l**3 + 1\/24*l**4 - 3*l**2. What is the derivative of v(w) wrt w?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 1880*f**2 + 2*f - 1. List the prime factors of c(-1).\nAnswer: 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -6*l + 6 + 71 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**(-3\/8))\/b*b*b\/(b*b\/(b*b\/(b\/(b*b\/((b\/b**(-3))\/b)*b)*b)*b))*b)\/((b\/(b\/b**4))\/b**(4\/3)) assuming b is positive.\nAnswer: b**(-25\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1319?\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83616597 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + (15 - 5) - ((-2 - -14) + -8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 953 + 115*f**3 - 397*f**3 - 1052*f**3 + 153 wrt f.\nAnswer: -4002*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((k - 3*k - k)*(1 + 5 - 4) + k - 1 + 1 + 0*k - 2*k + 0*k)*(3 - 3 + 3) in the form v*k + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes after 3:05 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n + x + 2*x - 59, 5*n + 5*x = 150. Suppose -5*c = 64 + n. Let m = c + 74. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 50 + 2 = -4*m, -2*p + m = -30. What is the remainder when 143 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2373 is divided by 743?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5949 is divided by 1369.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -58, -208, -446, -772, -1186?\n\"Answer: -44*y**2 - 18*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 258 and 205798.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -39640466*o**2 - 6983087.\nAnswer: -79280932*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 17 + -41. Let s = 76 + q. What is the remainder when s is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 384815*l**2 + 1705*l**4 + 543*l**4 - 382595*l**2 wrt l.\nAnswer: 53952*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31 is divided by 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the second derivative of -a**3\/3 + 18*a. Let i(g) = 642 - 20*g**2 - 642. What is i(v(u))?\nAnswer: -80*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -2*a**2 + 47*a + 37. Let r be k(24). Suppose -2*w - w = -117. Calculate the greatest common divisor of r and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05 - -1538.8?\nAnswer: 1538.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 32 = 88. Suppose 16 = 2*r + 4*i, 0 = r + 3*i + 2*i - f. Solve -z - 16 = r*h, 5*z + 20 = h - 6*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -120 - -125. Solve -2*h - 2*z + 1 - l = 0, 0 = -4*h + z + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/835666 and 49\/578538.\nAnswer: 7520994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.825255516 to 2 dps.\nAnswer: -3.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 68 = -79. Put 0, u, 3 in descending order.\nAnswer: 3, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-4)*538\/(-807)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18005420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -483056 divided by 112?\nAnswer: -4313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -3*m - 639 - 2*m + 640 - 3*m - 4*m**2. Let o = 3 - 4. Let p be (0 - -2)\/o*3. Let c(l) = 3*l**2 + 7*l - 1. Calculate p*c(w) - 5*u(w).\nAnswer: 2*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 60741 divided by -6749.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2344457 to the nearest integer?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 19909288 rounded to the nearest one hundred thousand?\nAnswer: 19900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -151*w - 30 = -143*w + 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-111)\/6 - (-12)\/(-8). Let a = w + 20. Suppose -7*g + 9*g - 8 = a. Calculate the remainder when 11 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - 151*d = -148*d + 2, 2 = c - 5*d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/d**(-2\/5)*d**0*d)\/(d**(-7)\/(d**3\/d*d*d)))\/((d**4\/d**(-2\/7))\/((((d*d\/d**(2\/3))\/d)\/d)\/((d*d**(-3)\/d)\/d*d*d))) assuming d is positive.\nAnswer: d**(1097\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -13*u**2 + 14. Let a(m) = -142*m**2 + 160. Let x(g) = 3*a(g) - 34*t(g). Let s(p) = -15*p**2 - 5. Give -4*s(r) - 5*x(r).\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1323451 (base 6) to base 12.\nAnswer: 36587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 0*g + 247*g**2 + 2*g + 129*g**2 - 6*g + 2. Let i be t(1). Calculate the highest common divisor of i and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 105 + -104. Which is the smallest value?  (a) q  (b) 0.5  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ywwa when four letters picked without replacement from dwydddwwdywawsya.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1aa6b (base 16) in base 2?\nAnswer: 11010101001101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Put 3, -2, 1, -4, -3 in ascending order.\nAnswer: -4, -3, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q*q*(q\/q**(2\/45))\/q*q\/q**(-10) assuming q is positive.\nAnswer: q**(583\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -612 * 3.\nAnswer: -1836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 147 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.11039 + -2.11039. Let q = -10.7 - -11. Which is the smallest value?  (a) u  (b) q  (c) -26  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*z + 10*z - 33. Suppose -d + 48 = z*d. Solve d*a = 5*f, 0*f + 10 = 2*a - 5*f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**3 - 15*o**2 - 110*o - 51. Calculate j(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 764832811 to the power of 1\/2, to the nearest integer?\nAnswer: 27656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (133980\/(-6600))\/((-14)\/30) - 30. Suppose -3\/2*w**2 - a - 9*w = 0. Calculate w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 0, 22, 74, 168, 316, 530, 822, 1204?\n\"Answer: 2*s**3 + 3*s**2 - s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from {k: 1, t: 1, i: 1, e: 3, u: 2, o: 11}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57*t - 18*t - 64*t + 12*t.\nAnswer: -127*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2944260013 to the power of 1\/2, to the nearest integer?\nAnswer: 54261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 2 = -3. Let s(v) = -v + 0 - 1 + 2. Let l be s(f). Solve 3*q + n - 24 = -2*n, l = 3*q + 4*n - 27 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 + (-40)\/(-18) + 0. Which is the closest to 1\/7?  (a) 1\/3  (b) -1\/3  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1300) + 5*sqrt(1300)*-6)**2.\nAnswer: 1093300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17460 - 16910. Calculate the highest common factor of n and 500.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -121.4 and 290286918.\nAnswer: 290286796.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 13768555.5us?\nAnswer: 0.00015935828125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13021 and 281851.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**2 + z + 3. Let h be m(3). Let y(f) = -2*f**2 - 8*f + 1. Let i(u) = -2*u**2 - 7*u. Let g(s) = -4*i(s) + 3*y(s). Determine g(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(425) + -4 + (sqrt(425) + -1)**2 - ((sqrt(17) - sqrt(68)\/sqrt(16)) + 1).\nAnswer: -11*sqrt(17)\/2 + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1345*a**4 - 12*a**3*y + 59393*a**2 + 2*y wrt a.\nAnswer: -32280*a - 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/f**0)\/f*f**(2\/7))\/(f**(2\/7)\/(f\/((f*(f\/(f**(2\/19)\/f*f))\/f)\/f))) assuming f is positive.\nAnswer: f**(21\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 - 4 + v**3)*(18 - 49 + 23).\nAnswer: -8*v**3 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -814, -974, -1240, -1612, -2090, -2674?\nAnswer: -3364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 6*o**3 + 33*o**2 + 5*o + 11. Let f(u) = 2*u**3 + 11*u**2 + 2*u + 4. Determine 11*f(r) - 4*v(r).\nAnswer: -2*r**3 - 11*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.13409 and -11.\nAnswer: -11.13409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*v - 5*i - 1 + 6, 5*i + 4 = -4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**3 - 6*u**2 + 5*u + 7. Let q be d(5). Let o = -1 + q. Suppose -v - c + o = -0*v, 0 = -v + c - 2. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 381.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*b**2 + 3*b**3 - 28*b**2 + 73*b**2 - 25*b**2.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + 0\/5 + 5 + 175\/60.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate c**3*m - 83*c**3 + 2114*c**2*m - 126*c + 2 wrt m.\nAnswer: c**3 + 2114*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 319385331 to the power of 1\/2, to the nearest integer?\nAnswer: 17871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2482.\nAnswer: 2, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-280)\/67704*13)\/(-5)?\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-1*sqrt(5))**2 - (sqrt(90)\/sqrt(2))\/sqrt(9).\nAnswer: -sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1108, 4618, 10292, 17986, 27556, 38858, 51748?\n\"Answer: -24*l**3 + 1226*l**2 - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -107 + -92.08\nAnswer: -199.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -76*n - 2*n**2 - 2 - 22*n**2 - 6*n**3 + 74*n + 2*n**4 in the form x*n**2 + k*n**3 + y*n**4 + v*n + t and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t\/(t\/(t*t\/((t*t*t\/(t*(t\/((t**0*t)\/t))\/t))\/t*t))))**(1\/16)*t*t\/((t\/((t\/t**(1\/6))\/t*t))\/t)*t\/(t\/t**(-9)))**(-31) assuming t is positive.\nAnswer: t**(9083\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 + 1d71?\nAnswer: 1d6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -239*z + 11. Let g be j(7). Let o be (3\/(-9))\/(1\/g*2). Suppose 0 = 3*u - o - 167. What are the prime factors of u?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 5*h = 110, -3*h - 96 = -4*z - h. Suppose -9*t + 10 = -z. Solve t*v = 2*v + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3 - (-4 + 3)) + 0. Let r(z) = z**2 + 8*z + 12. Let j be r(-2). Solve j = -h*d - 0 - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 5*q + 6. Let u(l) = 428*l. Calculate u(n(s)).\nAnswer: 2140*s + 2568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**3 - 69*u**2 - 263*u - 131. Let z be r(-65). Calculate the highest common factor of z and 15424.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 75533435 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**2 - 2*z + 5. Let u be j(-3). Sort 0, -5, u in decreasing order.\nAnswer: u, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (9 - (0 - (6 - 10))) + (1 - 30)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (768\/(-36))\/(4\/(-264)). What is the highest common factor of s and 1232?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -330 by 199.\nAnswer: -330\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -3. Let g = 28 + -35. Let p(t) = -t + 7. What is g*r(f) - 3*p(f)?\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 118262107237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -206685375 divided by -39.\nAnswer: 5299625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 838 + -836 - (-1 + -13).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5*5\/375*10.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 5}. Give prob of picking 2 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 258250.\nAnswer: 2, 5, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*h + 44 - 50 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -24 (base 5) to base 10.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3938.\nAnswer: 2, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*t + 5*t - 7*t**2 - 15*t.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 205369.2 + 0.5.\nAnswer: 205369.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 470834899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, p: 1}. Give prob of sequence rr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*t - 6*t**2 - 6*t)*(-6*t + 5*t - 5*t).\nAnswer: 36*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 60\/50*-3*(-5)\/24?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - s)*(-47*s + 168 - 167 + 200*s).\nAnswer: -153*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1050 divided by 210.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 13921 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -5201456 < -5201457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 64727 and 11873.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, s: 5}. Give prob of sequence gg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 189619, 189621, 189631, 189655, 189699, 189769?\nAnswer: 189871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 58*l - 442*l**3 + 43*l**3 + 14*l**3 - 119*l + 2 + 64*l to the form x*l**3 + k + q*l + t*l**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qiqqikkiiiqqkakkii. What is prob of sequence kqk?\nAnswer: 25\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -16*h**2 - 511*h - 31. Determine i(-32).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15 - 12080*h + 12 + 92 - 117.\nAnswer: -12080*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 15 - ((7 - (-8 + 12)) + -20)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*x - 19 + 21 - 19*x.\nAnswer: -15*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-3)*m)\/(m*m**(-1)))\/(((m**(-1)*m)\/m)\/m**(-3\/2)) assuming m is positive.\nAnswer: m**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1214, 2430, 3650, 4874, 6102?\nAnswer: 7334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2385.8 rounded to the nearest 10?\nAnswer: -2390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5310 and 5?\nAnswer: 5310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10 + 1 + 4 - -1) + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1645 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 186 = -2*v, 372 = 331*v - 327*v + t. Solve -20*o = 7 + v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -85, -177, -275, -379, -489?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -5*j**3 + 45*j**2 - 26*j + 3. Let i(l) = -8*l**3 + 46*l**2 - 27*l + 4. Give 3*d(x) - 2*i(x).\nAnswer: x**3 + 43*x**2 - 24*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -16*g**2 - g. Let f = -168 + 159. Suppose -3*p = 18 + 12. Let l be (3\/p + f\/45)*2. Give o(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -2*o**2 - 26. Let z(r) be the first derivative of -r**3\/3 + 261. Give w(z(p)).\nAnswer: -2*p**4 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 4*a - 29 = -3, -10 = -l - 3*a. What are the prime factors of l\/(3\/3) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 19*u**3 - 15*u**2 + 4. Let i(s) = 20*s**3 - 16*s**2 + 5. Let o(f) = 4*i(f) - 5*w(f). Find the third derivative of o(y) wrt y.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -294358 or -294674?\nAnswer: -294358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4483 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = -o - 3*o. Suppose -4*t = 4*g - 2660, 5*t + 3341 = o*t - 3*g. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 485, 8\/3, 4, -5, 0.52 in ascending order.\nAnswer: -5, 0.52, 8\/3, 4, 485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8552 - -59865\/7. Which is the nearest to 2?  (a) d  (b) -0.04  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**2 - c. Let y(k) be the third derivative of -k**5\/20 + k**4\/6 + k**3\/2 + 147*k**2. Give -4*m(v) - y(v).\nAnswer: -v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the first derivative of b**3\/3 + 2*b**2 + 3*b + 1. Let s be (-12)\/(-60)*(-10)\/4*-24. Let p be s\/(-4) - (10 + -8). Calculate w(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = w - 2*v + 3, -5*w - 194*v + 24 = -191*v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/(-4) + (-7)\/(-14). Let w be (s - -1 - -62)*91\/26. Let v = -100 + w. List the prime factors of v.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-2))**(-2\/15) assuming h is positive.\nAnswer: h**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 846*t**2 - 3321*t**2 + 25 - 494*t**2.\nAnswer: -2969*t**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes before 12:31 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 d when two letters picked without replacement from {h: 1, j: 1, d: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i**5 + 124*i**4 + 625*i**3 - 17880*i**2 + 13680*i + 3456 = 0. Calculate i.\nAnswer: -12, -1\/5, 1, 12, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let 6*i**4\/7 + 285864*i**3\/7 + 3421181364*i**2\/7 + 55318971960*i + 1572818319450 = 0. Calculate i.\nAnswer: -23765, -57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 18 and 3240.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 654356 (base 8) in base 2?\nAnswer: 110101100011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4.9 - -5. Which is the nearest to r?  (a) 33  (b) -2\/9  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 128 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**3 + 21*o**2 - 39*o + 28. Let d be c(19). Suppose d*y = 308 + 1042. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 932, 3735, 8406, 14945, 23352, 33627, 45770?\nAnswer: 59781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w*w*w*w\/w**(-1\/7)*w*w\/(w**(1\/13)*w) assuming w is positive.\nAnswer: w**(461\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*v - 12 - 8. Let b be (18\/(-8))\/((-6)\/16). Suppose 0 = 4*t - b - 14. Put -5, t, v in decreasing order.\nAnswer: t, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.0501 + -0.05771. Round z to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 28619357, 3 in descending order.\nAnswer: 28619357, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 5*m + 2210 = 0, -o - 2*m = -m - 446. Suppose k - o = -k. What are the prime factors of k?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q - 6 - 12. Is (-1465)\/(-9) + (-4)\/q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 3*f**3 + 22*f**2 - 2*f - 1. Give a(-8).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 47675279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -8, -6, -12, -32, -72, -138?\n\"Answer: -i**3 + 2*i**2 + 3*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a = 866*s - 877*s + 9, -4*a - 2*s = 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*n - 2*n - n + 4*n - n - 2*n + (-1 + 0 - 1)*(0*n + 2*n + 0*n) + n + 3*n - 6*n - n - 1 + 1 + 16 - 4*n + 5*n - 2*n)*(-5*n**2 + 4*n**2 + 2*n**2).\nAnswer: -6*n**3 + 16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2927.0724 months in years?\nAnswer: 243.9227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6*(1 - (-1)\/(-2)) and ((2 - 1) + -2)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -2*b**2 + 45*b + 262. Determine u(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-18 + -11)\/((-4)\/312) is divided by 84.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4877378 by 94.\nAnswer: -51887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 418 is divided by 111?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.1472 - -0.3032. Which is smaller: v or 0.6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*c + 3598 - 3733 = 0. Solve -5*o + 2*u = c, 29*u = o + 26*u + 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = -6*d + 8*d. Let g = d - -24. Which is greater: g or -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s + 10. Let a be 5*(-1 + 0 + 0). Let f be v(a). Suppose -f*w + 8*w - 30 = 0. Calculate the highest common factor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 111 - 11210?\nAnswer: -11022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2860 and 91065.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000119064 to six dps.\nAnswer: 0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 155958 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 677.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the second derivative of 7\/12*p**4 - 40 + 1\/2*p**3 - 1\/5*p**5 - p - 1\/5*p**6 + 0*p**2. Find the third derivative of m(l) wrt l.\nAnswer: -144*l - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1101100100 (base 2) in base 6?\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2 - -3)\/((-3)\/(-42)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-64)\/(47168\/6499))\/(3\/(198\/(-6)))?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1460325459 to the power of 1\/4, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -10*h**3 - 4*h**2 + 7*h + 3. Let c(l) = -2*l**3 + l + 1. Let n(i) = 4*c(i) - w(i). Determine n(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -276 - -746. What is the greatest common factor of 30 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1783.38 + 25?\nAnswer: -1758.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**3 - t**2. Let n be ((-4)\/10)\/((-4)\/10). Let w(u) = 5*u**3 + u**2 - 1. Let o(i) = n*h(i) + w(i). List the prime factors of o(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -943*q + 6755 = -628*q + 1036*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n + 42 = 10*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4, 6\/17, 0.5, -3, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 1)*(4*b**5 + b**5 - 4*b**5) + 0*b**5 + 2*b**5 - 4*b**5 + 0*b**4 + 0*b**4 - b**5.\nAnswer: -4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 33568776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17 + 3 + -10 + 6 + 0 + -1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -397709323*b + 1378688104?\nAnswer: -397709323","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4*(-1)\/18 - 416\/(-9) is divided by ((-2)\/(-2))\/(-1) - -17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 159 - 101. What are the prime factors of w?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**2 + 2*s - 17. Let t(y) = 3*y**2 + 6*y - 51. Let q(v) = -17*p(v) + 6*t(v). Let f be q(-7). Let l be 34\/(-51)*(0 - 27). Is f greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 307 - 302 - (-5 - (-2 + -51))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 216800395*a**2*k**3 + 2*a**2*k**2 - 89*a**2 + 2*a*k**2 - 2187*a*k wrt k?\nAnswer: 1300802370*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 - 2 = 4*l. Suppose -b = -j - j + 5, 3*b = -l*j + 21. Factor 15*t**3 + 10*t**2 - 6*t**b - 8*t - 3*t**3 - 8.\nAnswer: 2*(t - 1)*(t + 2)*(3*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.4 and -1290695994604.\nAnswer: -1290695994603.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 80660.45 days to hours.\nAnswer: 1935850.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j + 7. Let g be a(5). Let u(w) = 4*w**3 - 6*w**2 + 4*w - 4. Let q be u(g). Suppose -3*y - 3 + q = 0. Solve y*d = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1574342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -2*w + 6*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 4*u**2 - 2. Let o(v) = 3*v**3 - 10*v**2 + 5. Let m be o(3). Let q(y) = 2*y - 4. Let h(d) = -d + 3. Let t(g) = m*h(g) - 3*q(g). Calculate l(t(i)).\nAnswer: 16*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-264)\/44*2\/((-60)\/(-2))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x + 1. Let v be j(1). Suppose 3 = 3*z, 4*f - 11 = f - 5*z. Solve v = -4*i, -i - 4 = 4*a + f*i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2734 divided by 83?\nAnswer: -2734\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 5, -27, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18*b + 6*b - 20*b to w*b + z and give w.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1  (b) -2\/5  (c) -8\/9  (d) 3\/20  (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 769, 1546, 2311, 3058, 3781, 4474, 5131?\nAnswer: 5746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**3 - 7*r**2 - 8*r - 29. Determine v(7).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 1 - 1)*(1671*q + 779*q + 6186*q) in the form m*q + r and give m.\nAnswer: -17272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**3 + 10*u**2 + 15*u + 10. Let t(x) = x**3 + 2*x**2 - 7*x. Let i(m) = -h(m) - 2*t(m). Calculate i(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**3 + 125*r**2 + 533*r - 2596. Calculate a(129).\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes after 12:09 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1712*l**3 + 86052*l**2 - 359*l + 187879?\nAnswer: 10272*l + 172104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8\/(3 - 2 - -1). What is the second derivative of -w*o**2 + 11*o**2 - 11*o + 10*o wrt o?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -206, -415, -624, -833, -1042, -1251?\nAnswer: -1460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(972) + -1*(sqrt(972) + 3))*-4*3 + 1)**2.\nAnswer: 1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*p - 15 = 23*p. List the prime factors of (-13 - p)*(0 + 10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f**5\/9 - 32*f**4\/3 + 302*f**3\/9 - 68*f**2\/3 = 0. Calculate f.\nAnswer: -51, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 108165698 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-3)*((-10)\/95)\/(3540\/(-20178)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) 3  (b) 1\/3  (c) 1305  (d) -6  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 5 - 3. Suppose 5*v + b*m + 3*m = 10, -5*v + 4*m + 37 = 0. Suppose 0 = 5*j + 3*a + a - 29, 4*j - v*a - 15 = 0. Solve 20 + j = 5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 74, 11082, -1 in decreasing order.\nAnswer: 11082, 74, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the third derivative of 5*j**4\/24 - 19*j**3 - j**2 + 90. Calculate the least common multiple of 8 and w(34).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 12*c**2 + 1. Let b(q) = q**2 - 1. Let y(u) = -b(u) - o(u). Let z(j) = 21*j. Calculate y(z(k)).\nAnswer: -5733*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 - ((7 - 1) + (55 - 57))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-130)\/(((-1600)\/50 + 2 + 15)\/6)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6828.61233 rounded to the nearest 100?\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -928*p + 29386 - 7114 = 0 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 - -18.213285248?\nAnswer: 18.413285248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 5*t = -32, -3*k + 3*t + 2*t = -29. Suppose -3*j - 51 = -a, k*a - 93 = a - 3*j. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 215 = 13*s + 26*s + 722 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 2*o - 42. Let h be q(21). Sort 3, h, -3, 2 in descending order.\nAnswer: 3, 2, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/904 or -3642?\nAnswer: -3642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) 2  (c) 20006\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z + 13*d = -12, 21*d - 20*d = z - 9 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -37243, 4, -6581 in descending order.\nAnswer: 4, -6581, -37243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is f in 0 - 370\/3*f**3 + 2\/3*f**5 + 0*f + 62*f**2 + 182\/3*f**4 = 0?\nAnswer: -93, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1044015 divided by -815.\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 208354 is divided by 194451?\nAnswer: 13903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**3 + 58*y**2 + 178*y + 293. Let g be d(61). What is the second biggest value in g, 15, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**3 - 23*c**2 - 4*c + 47. Let s be g(23). Let w = s + 58. Let j(l) = -l + 3. What is the remainder when w is divided by j(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -3*v**2 + 138*v - 1231. What is j(12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 78 - 76. Suppose -4*v + 119 = 5*h, -p*v - 2 = 3*h - 61. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -2*g + 6, -37*g + 2*q = -40*g - 7. Let r(h) = h - 1. Let y(f) = -7*f**2 - 5*f + 3. Give g*y(p) - 3*r(p).\nAnswer: 7*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/9, -223, -5, 0.3 in decreasing order.\nAnswer: 0.3, 1\/9, -5, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*f = -22*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y\/((y**(-10)*y)\/y))*y**(-3\/5)*(y**2\/y)**33)**(-46) assuming y is positive.\nAnswer: y**(-5152\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 22258892 a multiple of 617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.7  (b) 0  (c) -4  (d) 2\/3  (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 308b6 (base 12) in base 11?\nAnswer: 43786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - a - 7 = a, -8 = -2*v + 2*a. Let t(n) be the third derivative of -n**5\/60 - 2*n**2. Give t(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, b: 6}. What is prob of picking 1 b and 2 d?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -58\/6279 and 19\/63?\nAnswer: 18837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the first derivative of 3\/2*s**2 + 0*s**3 - 3 - 4\/5*s**5 + 0*s + 0*s**4. Find the second derivative of g(n) wrt n.\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 3*a**2 + 17*a + 12. Let q(w) = -w**2 - 6*w - 4. Let z(n) = -2*j(n) - 7*q(n). Give z(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 195, -4, -120 in ascending order.\nAnswer: -120, -4, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**2 - j + 212. Give b(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -9 + (6 - 0) + (3 - -5 - 15)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 120443453?\nAnswer: 13, 17, 659, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -460.3892994 to the nearest integer.\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 413077715 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79*l + 77*l = 4*o + 5886, 0 = -3*o - 12. Is -2935 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -20*k + 36*k - 1 - 17*k. Let l(s) = 3*s + 10. What is 5*c(m) + l(m)?\nAnswer: -2*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 84894790?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**2 + 7*g + 3. Determine k(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*m**3 + 3671 - 11018 - 9*m**4 + 3673 + 3671 - 9*m**4 to h*m**4 + x*m**2 + r*m + v + n*m**3 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(39)\/sqrt(3)*6 + sqrt(13) + -3 + 0 + sqrt(13) - (5 + sqrt(117) + sqrt(13) + sqrt(13))*-6)**2 + 3.\nAnswer: 2052*sqrt(13) + 19504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -35.79 from -1308.\nAnswer: -1272.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**2 - 8*j + 19. Calculate z(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6626\/5 - -1402. Let a = z - 76. Which is smaller: 2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -189, -192, -195, -198, -201, -204?\n\"Answer: -3*f - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 5*a - 6*a. Let b be a\/((-1)\/(-2 - 4)). Let z be 2\/9 + (-8)\/b. Solve 3*o - 3*u - 15 = z, -2*o + 7*u - 3*u = -14 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-168)\/(-18)*(-3)\/2. Let l be (-66)\/u + 4\/14. Let y(t) = -23 + 19 + 8 - 5*t. Give y(l).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7480 = 195*a - 59*a. Solve a*u + 84 = -29*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 72.4, 2, 0.1497 in ascending order.\nAnswer: 0.1497, 2, 72.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4053924 and 6?\nAnswer: 4053924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 406356889.\nAnswer: 406356889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eight fifteenths of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 7*x**3 + 323*x**2 + 25*x - 983. Determine b(-46).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/(-1 + 6\/255*42). Suppose 2*w + 0*w - s = -5*a, 0 = -4*w. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:57 PM and 6:25 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.064 - 4.936. Let n = 102 + -102.5. What is the second smallest value in u, n, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.04  (b) 64  (c) -2\/5  (d) 2  (e) 3\/8  (f) 1\/9  (g) 187\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 51, 0.06473, -3\/5, -64 in ascending order.\nAnswer: -64, -3\/5, 0.06473, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 85276.\nAnswer: 2, 21319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(91) - 4*(sqrt(91) + -1*sqrt(91)) - 2*sqrt(91)*-1))\/(sqrt(63) + 1*sqrt(5103) - (sqrt(4032)*-1 + sqrt(4032))).\nAnswer: -2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*y**3 + 15422*y**2 + 159653*y + 144228.\nAnswer: -(y - 5151)*(y + 1)*(3*y + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 228 + -48. Suppose 9*h = 3*h + q. Is 34 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 451 and -0.065.\nAnswer: 450.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*g = 4*d + 6*g - 8, 2*d + g = 4. Suppose -d*x - 2*b = -98, -3*x - 4*b = b - 137. Calculate the least common multiple of 21 and x.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 368548815 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 52\/13485 and 19\/28710?\nAnswer: 890010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 3*k = -12, -5*u + 4*k + 11 = -4. Suppose 0 = 2*d + 2*t, -d + 0*t = 2*t + 2. Let 1 - r**d - 22*r**3 + 23*r**u + 0 - r = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 5*a = -10, 5 = 5*n + 2*a - 5. Suppose -n*s + 6682 = 5*x, 2*x - 105 - 2575 = s. What are the prime factors of x?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 take away -381515111912?\nAnswer: 381515111910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + (-31)\/39 - 1\/(338\/(-156)).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 1 u when three letters picked without replacement from abwacuo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (133\/189)\/(10241\/3234).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -4*s**3 - s**2 + 1. Let o be l(-1). Suppose 0 = -p - o*f - 4, 3*p = -0*p - 3*f - 12. Let z(d) = -3*d + 2. List the prime factors of z(p).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1025\/44 + 65801\/220. Let h = 276 - r. Which is the third biggest value?  (a) 2\/11  (b) h  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-2\/17)*z*z**2\/z)\/(z*(z\/(z\/(z*z*(z\/z**(-2\/19))\/z))*z)\/z*z**(1\/7)) assuming z is positive.\nAnswer: z**(-827\/2261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add 15823.2 and 20565.\nAnswer: 36388.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:35 AM and 6:29 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 5744, 9081, 12402, 15707, 18996?\n\"Answer: -8*l**2 + 3361*l + 2391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/18 + (-31)\/(-6). Suppose 0*u + 10 = k*u. Is 125 + u\/(1 + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 5, e: 1, l: 6, h: 1, b: 2, p: 5}. What is prob of picking 1 l and 1 m?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -18*c**3 - 414*c**2 + c + 36. Give u(-23).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that c**5 - 395*c**4 + 3149*c**3\/4 - 983*c**2\/2 + 393*c\/4 = 0.\nAnswer: 0, 1\/2, 1, 393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 456.3177*-0.4.\nAnswer: -182.52708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (t + 2*t - 4*t)*(2*t**3 + 3*t**2 - 3*t**2) - 3*t**4 + 2*t**4 + 4*t**4 - 2*t**4 + t - t to c*t**3 + h*t + g + o*t**2 + r*t**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.37 - -0.87. Sort t, -0.06, 3, 2\/131.\nAnswer: -0.06, 2\/131, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**2\/2 + 48485*q\/2.\nAnswer: -q*(q - 48485)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*b - 1 + 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the third derivative of -1247*v**6\/120 - 1207*v**3\/3 + 2565*v**2. What is the first derivative of q(k) wrt k?\nAnswer: -3741*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 55\/3 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 + b**2 + b + 1. Suppose -m = 4*m - 5*o, 2*m = o + 3. Suppose -5*c + 8 = -m*g, 0 = g + 3*g - 5*c + 9. Give h(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/((-7)\/(-30)))\/((-171)\/(-2964)*-26).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/1434954 and -31\/316.\nAnswer: 226722732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 3, -16859 in descending order.\nAnswer: 3, -0.4, -16859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-704)\/(-1760)*1\/3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 806.1802ng in milligrams?\nAnswer: 0.0008061802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1348 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 44*a**2 + 2 - 45*a**2 + 2 + 28*a - 65. Give n(25).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 2*r**2 - 3*r. Let k(g) = -9*g**2 + 12*g - 4. Let x(z) = -k(z) - 4*v(z). Calculate x(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.730669 meters to kilometers.\nAnswer: 0.004730669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 335 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the second derivative of q**4\/4 + 48*q. Give k(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53*t**3 - 89*t**3 + 163*t**3 + 2*t**2 - 3*t**2.\nAnswer: 21*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -s + 110 - 109 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -26 + 41. Let s be (-6)\/u*(-15)\/27. What is the biggest value in 4, 2, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is four sevenths of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = 4*r - 236, -71*a + 74*a + 6 = 0. Calculate the highest common divisor of 976 and r.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 163*n**3 + 31*n**2 wrt n.\nAnswer: 978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -259756654 rounded to the nearest 1000000?\nAnswer: -260000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 241, 234, 227, 220?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-4)*12\/(-9)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8306*n + 25 = -3*b + 8304*n, 4*b + 55*n + 286 = -9 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 25 = -z - 4*z, -z + 20 = 4*p. Suppose -8 = -u + 6. Suppose -2*v = -4*q + u, -3*v - 4*q + 18 + 11 = z. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 166  (b) -2\/25  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -82.329 to 0 dps.\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (44*y - 33*y - 46*y)*(2 + 1 + 0) + 0 - y + 0 + (-4 + 4 + 2)*(2*y + 4*y - 4*y) + 4*y + 2*y - 5*y + 3 - 3 + 2*y - y + 2*y - 2*y to g + x*y and give x.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 5*y - 17, 105*y - 100*y - 25 = 5*m. Sort m, -4, -185, -5.\nAnswer: -185, -5, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 742941764 to the nearest integer?\nAnswer: 27257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 9, -55, -2 in descending order.\nAnswer: 9, -2, -13, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1841 and 7273265?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 940728 and 3192.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/5 of a meter in centimeters?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 15780.\nAnswer: -1\/3156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**3 + 20*p**4 - 27*p + 27*p)*(2 - 4 + 3).\nAnswer: 20*p**4 - 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 182737 = -9*q + 50*q. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 561518813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 5*a**3 + a**2 + 3*a + 2. Let r(n) = n - 17. Let p be r(22). Is j(p) 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 1.999596 millilitres?\nAnswer: 0.001999596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 4783548*l**3 - 8183*l**2 - 531895*l - 8183. Let s(y) = 2338*y**3 - 4*y**2 - 260*y - 4. What is -4*d(p) + 8183*s(p)?\nAnswer: -2338*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = -4*c + 2*r + 84, -104 = -5*c + 2*r. Calculate the greatest common divisor of c and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*j + 4*t + 25, 6*t = 5*j - 27 + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 68 and 268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (k**2 + 4*k**2 - 3*k**2)*(3547*k + 14673*k + 4423*k) + k**3 - 2 + 2 as w + d*k + f*k**3 + y*k**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 30095 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 157 at most as big as 965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6858*b**3 - 13553*b**3 + 6809*b**3.\nAnswer: 114*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 30 times -1.14\nAnswer: -34.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m + 8. Let y(n) = -n**3 + 2*n**2 + 11*n + 1. Suppose 370*k + 12 = 364*k. Let v be y(k). Determine f(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -1  (b) 0  (c) 3  (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.2, -2, 0.5, -355973\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 7*p + 14. Let l be d(6). Suppose 0*o - 4*o = -l. Solve 5*y = 1 + o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**4 + 218*z**3 + 6048*z**2 + 5832*z.\nAnswer: 2*z*(z + 1)*(z + 54)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/7, -1, 3, -0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 2*a - 4*f + 21 = 0, -4*a - 5*f + 27 = 0. Let q be (-2608)\/(-216) + -9 - (1308\/162 + -8). Solve 5*b - 16 = -i - 2*i, a*b = q*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.91516ug in nanograms?\nAnswer: 5915.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -6921*i + 1601 + 6922*i - 1601. Let c(o) = 391*o**2 + 69*o - 69. Let p(z) = 28*z**2 + 5*z - 5. Let r(s) = -5*c(s) + 69*p(s). Determine r(d(g)).\nAnswer: -23*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -4\/5, -0.04, -4\/1519, -0.6, 0.2, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10859 a factor of 1642796766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 857, 891, 925, 959, 993?\nAnswer: 1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 40\/24*(-5)\/(-3050). Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y - 27. Let u be p(-22). Let j(k) = k**2 + 4*k + 5. Let x be j(u). Let a be 4\/10*x\/8. Which is greater: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and 42777?\nAnswer: 85554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3914 and 5562.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 - 9*s + 8. Let c be m(-9). Let v = -322 + 573. Let o = v - 163. Calculate the highest common divisor of o and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 975?  (a) -0.4  (b) -1.8  (c) 53  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 0.1  (b) 38  (c) 2\/11  (d) -3629  (e) 0  (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1025 + 1024.8929. Let o = b + 0.126. Round o to 3 dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4 or 0.135?\nAnswer: 0.135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 2*s**2 - 9*s + 13. List the prime factors of m(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 989753 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*m = -10*m + 41. Let h = m - -43. Solve h*z + 0 = -8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -19 and 33?\nAnswer: -627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z - 4 = -a - 28, -5*z + 2*a + 23 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = -3*w - 0, 3*w = -3*p + 30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 24 = -4*y, 5*g - y = -0*g - 10. Calculate the remainder when 96 is divided by (-2 - 16)*-2 - (4 + g).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 418047577 to the power of 1\/2, to the nearest integer?\nAnswer: 20446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.703 + -0.297. Which is the nearest to 0.2?  (a) -5  (b) 0  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33370059.\nAnswer: 3, 1699, 6547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 + -1664?\nAnswer: -1664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -3*y + 34. Determine z(14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (11430\/(-27))\/((-2)\/3). Let d = l + -311. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 648 - 1218 = 49*r + 459 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o + 14. Let c be a(6). Let m be 5*(64\/c)\/4. Let f be 0*((-14)\/m)\/7. Solve -5*t - 2*z = -5*z + 5, f = 4*t + 5*z - 33 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-58)\/(3538\/1403)*2*2*(-1)\/16?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**2\/9 + 56050*p\/9 + 560300\/9.\nAnswer: 2*(p + 10)*(p + 28015)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -199 + 1593\/8. Let o(s) be the third derivative of 0 - w*s**4 - s**2 + 0*s - 1\/6*s**3. Give o(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(1100) + -3 + -4 + sqrt(1100)*3 + sqrt(1100) + 3 + 3.\nAnswer: -1 + 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/10 in -1\/3, 1.74, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve g**2\/2 - 15196*g - 1127242 = 0.\nAnswer: -74, 30466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -0.3, -0.1, -0.013 in increasing order.\nAnswer: -0.3, -0.1, -0.013, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**3 - 2*m**2 + 26*m + 12. Determine t(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*x**2 - 6*x**3 - 40 + 2*x**3 + 18*x**3.\nAnswer: 14*x**3 - 8*x**2 - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 74956065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -13950000 rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7, 65, 159, 289?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (12\/10)\/(9\/150). Let l be (-3)\/12 + w\/16. Let x = -0.2 + 0. What is the second smallest value in l, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 10*i**2. Let p(s) be the third derivative of -13*s**5\/60 - 2*s**2 + 12. Give t(p(a)).\nAnswer: 1690*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -89 + 86 - 3\/(3\/(-10)). Suppose c*r - 129 + 108 = 0. Solve -2*g + 1 = 5*v - 18, -r*v + 24 = -3*g for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25290117 rounded to the nearest 100000?\nAnswer: 25300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2601 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 803171147 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 7*s**3 - 3)*(1 + 4 - 4).\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -1236*f + 2. Let u(k) = -1213*k + 1. Calculate -3*i(n) + 4*u(n).\nAnswer: -1144*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -240 - -242. Let x be 3\/(-12)*-6 - (-17)\/l. Solve 3*p - x = -4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9960?\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 53195430*g**3*w + 274277855*g**3 wrt w?\nAnswer: 53195430*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 444*j - 11200 = 3896 for j.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**2 + c - 1. Let y(v) = -7*v**2 + 16*v - 5. Let t(r) = 6*j(r) - y(r). Calculate the remainder when ((2\/2)\/(-2))\/(47\/(-8366)) is divided by t(12).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -3*b + 1 - 15, -5*b = c + 18. Suppose c = -2*x + 2*l, x + 7 = 3*l - 4. Solve -4*v - x*k = -0*k - 4, -v + 1 = -2*k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes before 8:18 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000002846 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 3, w: 3, j: 7}. What is prob of sequence wwqw?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 896610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7496685?\nAnswer: 3, 5, 7, 7933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in twenty-seven quarters of a meter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -52852 - 12\nAnswer: -52864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j + 19. Let b be o(-21). Let t(x) = 23*x + 2. Let v(r) = 32*r + 2. Let h(w) = 7*t(w) - 5*v(w). Let d(c) = 3*c + 9. Give b*d(k) + 5*h(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/10)\/(11\/(2750\/60)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 3 x when four letters picked without replacement from {x: 7, l: 5}.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 12) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5043, -5177, -5311, -5445?\nAnswer: -5579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*m**3 + 0*m**3 + 0*m**3)*(-107 + 40 + 16*m + 40 + 40).\nAnswer: 80*m**4 + 65*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 638.7869 decades?\nAnswer: 63.87869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**2\/9 + 128*k\/9 + 2048\/9.\nAnswer: 2*(k + 32)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 10) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 2, b: 5, v: 5, t: 6, l: 1, e: 1}. What is prob of picking 1 v, 1 e, and 1 l?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/12 - 9\/(-4). Suppose 160 = -2*m + f - g*f, 5*f = 20. Let y be m\/(-8) + 4\/(-16). Solve -2*t + y = -0*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yfyffwyfyynayayna. Give prob of sequence yawa.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*r + 5*r + 500. Find the common denominator of (-2)\/20*-2*(-13080)\/(-576) and (-5)\/r*(-235)\/(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 12  (b) 1.3  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 16?  (a) -2\/5  (b) -0.2  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 32*h**5\/11 - 1885008*h**4\/11 + 27760277186*h**3\/11 - 13879785156*h**2\/11 + 1734958418*h\/11 = 0.\nAnswer: 0, 1\/4, 29453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:41 PM and 12:08 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 9*y**3 + 26*y**2 + 33*y + 285. Let u(l) = 4*l**3 + 12*l**2 + 15*l + 142. Determine 6*k(d) - 13*u(d).\nAnswer: 2*d**3 + 3*d - 136","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-2*sqrt(1296)*-5 + sqrt(1296) - sqrt(1296)))\/(1*sqrt(363) + sqrt(972)).\nAnswer: -600*sqrt(3)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.25692 + -16.25692. What is the second biggest value in 0.3, -2, u, 2\/223?\nAnswer: 2\/223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 5*q + 0*q + q - 3*q - q - 3*q + 2*q + (3 + 2 - 6)*(0 + q + 0) + 2*q + 0*q - 3*q)*(7*q**3 - 7*q**3 - 4*q**4).\nAnswer: 4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-three sixths of a century?\nAnswer: 4600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 8*p**3 + 3*p**2 + 8*p + 7. Let d(f) = -23*f**3 - 8*f**2 - 25*f - 22. Let n(i) = -6*d(i) - 17*l(i). What are the prime factors of n(7)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 888330169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i. Let q be g(4). Let o be 0\/((-2)\/q*-2). Factor 3*b**2 + 5*b**2 - 20*b + o*b**2 + 20*b**3 - 12 + 4.\nAnswer: 4*(b - 1)*(b + 1)*(5*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 123 and 393.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 - -4. Let d = -16 - -18. Factor 6*y**3 + m*y**d + 2*y**2 - 4*y**3.\nAnswer: 2*y**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 2156, 4311, 6464, 8615?\n\"Answer: -b**2 + 2158*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*y + 7751 + 2985 = 110*y. Let o(p) = -2*p - 1. Calculate the remainder when y is divided by o(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17*v**2 + 2 - 2)*(0*v - 2*v - v).\nAnswer: -51*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 9164, 76238, 258304, 612860, 1197404, 2069434, 3286448, 4905944?\n\"Answer: 9583*q**3 - 2*q**2 - q - 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*f - 160*f**3 - f - 11*f + 122*f**3.\nAnswer: -38*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 126656191*b + b**3 - 126656191*b.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Let h = -18 - -17. Let w(p) = 97*p + 3. Let t be w(h). Let c = 97 + t. Solve -2*x = -c*x + 3*b - 4, -2*x = 5*b - 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is m in 5*m**5 - 1078*m**4 + 6843*m**3 + 11270*m**2 + 3344*m = 0?\nAnswer: -1, -2\/5, 0, 8, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-nine halves of a century?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -31*v**3 - 3*v**2 - 12*v + 10. Let f(x) = -32*x**3 - 4*x**2 - 16*x + 10. Determine 3*f(o) - 4*i(o).\nAnswer: 28*o**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Round 481.0193828 to 2 dps.\nAnswer: 481.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * -33.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.3  (b) -17  (c) -3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2940 - 2938. Solve -4*g + 26 = -m*o, -3 = o + 4*g - 14 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 8*c - 13*c - 3 + 4 + 1. Calculate i(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 21 - 13. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.513126*9\nAnswer: 4.618134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 2 u when three letters picked without replacement from tutttttgxtxtxtxut?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -34057 - -39014. Calculate the remainder when d is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g**3 - 23156*g**2 + 92598*g - 69444 = 0.\nAnswer: 1, 3, 11574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 10 = -2*p. Let o be p + (0 - -1) + -3. Solve -4*t - o*u - 8 = 0, -3*u = 3*t - 6*u - 15 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8\/56 - (-1022086)\/182. Calculate the greatest common factor of w and 780.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -8*m - 6 + 18*m - 9*m. Let s(f) = -5*f. Let i(v) = -6*v - 1. Let x(z) = -6*i(z) + 7*s(z). Let r be x(0). Let w(c) = 1. What is r*w(d) + a(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.05  (b) 60  (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*u**3 + 183*u**2 + 5*u + 72589 wrt u.\nAnswer: 9*u**2 + 366*u + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43326 = 24*b - 36618. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13026 (base 9) to base 2.\nAnswer: 10001001000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**2 + 8*s - 15. Let t be h(5). Solve t = -0*q - 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -15*l + 65*l**4 + 14*l - 22*l**4 + 7 - 95 wrt l.\nAnswer: 516*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -2*q**2 - 67*q - 61. Give t(-33).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the first derivative of -u**4\/2 + u**3 + 1. Find the third derivative of j(m) wrt m.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.5969 - -1.7969. Sort 2\/3, u, -240, 1.\nAnswer: -240, u, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n = n + 40. Solve 3*f - 15 = n*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 195644790763\/1680 - 116455238. Let u = 1\/336 + d. What is the common denominator of u and ((-3)\/36)\/(3\/(-100))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 2*p + 14. Let y(c) = 14*c - 1. Let g(n) = -82*n + 21. Let i(o) = -g(o) - 6*y(o). Determine 5*i(l) + 6*q(l).\nAnswer: 2*l + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 978 + -972. Suppose 43 - 37 = d*x. Let y(w) = -w + 1. Let u(p) = 13*p + 1. Calculate x*y(g) - u(g).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 516594726?\nAnswer: 2, 3, 31, 61, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ky when two letters picked without replacement from {k: 6, y: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 22*i**3 + 2*i**2 - 45*i**3 + 22*i**3 - 2 + i as j*i**3 + d*i**2 + k*i + r and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 231 and 2464?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -79, -147, -205, -247, -267, -259, -217, -135?\n\"Answer: h**3 - h**2 - 72*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48 - 32 + 140*f + 82*f + 121 + 16*f.\nAnswer: 238*f + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3133827.\nAnswer: 3, 29, 12007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*k**2*v**3 + 36*k**2 - k*v**3 - 109*v**3 wrt k?\nAnswer: 4*v**3 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the first derivative of 15*g**2\/2 - 48. Let v(u) = 11*u - 8. Let z(j) = 4*j - 3. Let x(k) = 3*v(k) - 8*z(k). Give i(x(c)).\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*v**3 + 2 - 19*v + 10*v - 2*v**3 in the form x*v + n*v**2 + j*v**3 + p and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 288 and 25664.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -113806259*h**2*q**2 + 100*h**2*q + 90612*h**2 - 2*h*q wrt q.\nAnswer: -227612518*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/73, -0.5, -16, 6, -1 in ascending order.\nAnswer: -16, -1, -0.5, 2\/73, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1116.82m in nanometers?\nAnswer: 1116820000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 57 = 67. Suppose 0 = 12*a - 181 - 83. What is the remainder when r is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0\/(18\/10 - (-168)\/(-210)). Let j(t) = -5*t**2 - 2. Determine j(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**2\/3 - 3653932*s + 10013414295468.\nAnswer: (s - 5480898)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -486 divided by 1.\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 o when two letters picked without replacement from {o: 1, v: 1, y: 2, z: 1, w: 8, x: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 706905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -287 + 1032?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 1140.195 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 114.336 + 4.964. What is m rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6951*p + 6954*p = -10*k - 20, 3*k = 5*p - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*j**4 + 4*j**4 - 7*j + 2*j**4 - 3 + 15*j**3 + 0*j**4 - 17*j**3 to the form k + l*j**4 + t*j**3 + o*j**2 + w*j and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -410.1 - -363. Let p = y - -47. Let t = -9 - -4. What is the closest to p in t, -3\/7, 2\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - 10. Let y be w\/(-15) + (-36)\/10. What are the prime factors of 2\/6 + (-95)\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2.7025000145 and -4.\nAnswer: -1.2974999855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -3*x + 59. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 13401, 13400, 13399, 13398?\n\"Answer: -n + 13402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 10 = -0. Let m be (5 - h) + -2 + 1. Differentiate -2*c**4 - m*c**4 - 8 + 5*c**4 + 3 wrt c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -49\/115 + -4\/23. Suppose 2*o - 3*w + 65 = 0, 3*w - 43 = -4*o - 200. Sort o, 4, j.\nAnswer: o, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jdfnnqqf. What is prob of sequence ffnd?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -18 + 23. Put i, -42, 2, -1 in descending order.\nAnswer: i, 2, -1, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 147 and 1113.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3ac + -62ef?\nAnswer: -5f43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.13 + -31.33. Let c = a + -4.8. Sort -1\/6, c, -2.\nAnswer: c, -2, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 3 - (35 - 46).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/620*47554\/8437.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 151 is divided by 45.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2d3 (base 14) to base 7.\nAnswer: -1453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(156)*-5*5 - sqrt(156)))\/(sqrt(72)\/sqrt(600)*-2).\nAnswer: -520*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 1 = -19. Suppose r - 18 = -2*y, 5*r + 9*y = 4*y + 105. Let u be (-32)\/r*3\/(-2). Sort u, l, 1.\nAnswer: l, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**2*v*v**(-8))\/(v**(-2\/3)\/v)**(-15\/7))**(-17\/5))**(-5\/6) assuming v is positive.\nAnswer: v**(-170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0.7 - -2679933364926\nAnswer: 2679933364926.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:34 PM and 4:29 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15892 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) -1\/4  (c) 0.2  (d) -3  (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 112 + -111 + (0 - -10) - -4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -6725 - -5?\nAnswer: -6720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -3*p + 193, 2*o = 3*p - p - 124. Suppose -z - 315 = -5*h, 4*h - 5*h = -3*z - p. Calculate the remainder when h is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (40\/50)\/((-9)\/5 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 12\/14*37\/(-740)*10\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -1486280 to the nearest 1000.\nAnswer: -1486000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (-172)\/(-20) + (-6)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -q**4 + 4*q - 4*q + 33*q**4 - 9*q**4 + 15*q**4 + 2*q**4 - 5*q**4 + 2*q**4 + (0*q + 3*q - 5*q)*(-6*q - 3*q**3 + 6*q).\nAnswer: 43*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * -76\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f*f**9\/f*f*f)**(16\/3))**(-13) assuming f is positive.\nAnswer: f**(-832)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 124362 divided by -141\nAnswer: -882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y - 2*r - 8, -2*r = 4*y - 7*r - 8. Let g(v) = -v**3 + 11*v**2 - 9*v. Let a be g(10). Calculate the greatest common divisor of a and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -171 + 173. Calculate the smallest common multiple of 5 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2088 + 3572. Suppose -5*x + x + b = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, 11, 882 in decreasing order.\nAnswer: 882, 11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1c8 (base 16) in base 6?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 + -125 + -76 + -6?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 202.4 + -202. Which is the nearest to 1\/2?  (a) -1  (b) -0.028  (c) v  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -5*((-5)\/(-15)*9 - 4). Suppose 0 = 2*w + a*d, 0*d = 3*w - d - 34. Let n(k) = k + 2. Calculate the smallest common multiple of n(5) and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 266 is divided by 82.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8222688 - 5458064. Suppose m + 4285376 = -5*l. What is l rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4879 + 17063 = 4*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11996 less than or equal to -186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -28\/25 and -1\/4930?\nAnswer: 24650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.14395*2\nAnswer: 0.2879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -4  (b) -5\/2  (c) 0.3  (d) -1.32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -11585*x. Let f(p) = 7*p - 83. Determine c(f(w)).\nAnswer: -81095*w + 961555","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j = -3*c + 10, 0 = -c + 9 - 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -277526986*q*x**2 - 760*q*x + 512*q + 2*x - 2 wrt x.\nAnswer: -555053972*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one fifth of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the first derivative of 1 + 1\/3*b**3 + 0*b + 0*b**2. Let a(c) = -3*c**2. What is d(a(x))?\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 173.2786 plus 0.3?\nAnswer: 173.5786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 8676982 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a microsecond in nanoseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 0.06, -0.5, -1\/19, 0.2, 1\/9, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**3 + 6*f**2 + 6*f + 9. Let j be u(-5). Solve j*r + 11 + 5 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -162 + 162. Let i(f) = -f + 1. Calculate i(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/45?  (a) 0  (b) 2\/19  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the first derivative of 2*n**5\/7 - 128*n**4\/7 + 2284*n**3\/7 - 3800*n**2\/7 + 1250*n\/7 + 427. Find h such that k(h) = 0.\nAnswer: 1\/5, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g + g. Let p(v) = v**3 + 3. Let n be p(g). Suppose -4*w + n*w + 185 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2 - 0\/((-8)\/(-2)). Suppose -z*m = m - 1749. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -85*c. Let v(d) = -7*d. Let t(o) = -2*p(o) + 25*v(o). Let x(m) = -18*m**2. Calculate x(t(n)).\nAnswer: -450*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and -13.2.\nAnswer: 26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -85, -1 in decreasing order.\nAnswer: 3, -1, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 2*t. Let k(i) = -179699*i**2 - 601*i + 1803. Let f(a) = 599*a**2 + 2*a - 6. Let u(b) = 601*f(b) + 2*k(b). Give y(u(z)).\nAnswer: 1202*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/((-5)\/(2688\/1792*5\/3*-2))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -22, -26, -16, 14, 70?\n\"Answer: n**3 + n**2 - 14*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 14 = 2*g. Suppose m - 180 = -17*m. Solve -c + 2*p - m = 0, -c - 5*p = -17 + g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -81\/5440 and -103\/3400?\nAnswer: 27200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 342 is divided by 120.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(539))**2 + (sqrt(121)\/(sqrt(11) + -3*sqrt(11)) - sqrt(11)).\nAnswer: -3*sqrt(11)\/2 + 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 868957188?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.32 * -474\nAnswer: -151.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 266292.\nAnswer: 1\/66573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(0 + sqrt(5) + (sqrt(180) - sqrt(5))**2 + sqrt(5)).\nAnswer: 4*sqrt(5) + 250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 382328845 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:58 PM and 1:13 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 56\/(-189)*3\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -12 - -34?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*k - 544 = 14*k. Suppose k*h - 58*h - 1260 = 0. Is h a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 14085219 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 8. Suppose 255 = 64*g - 47*g. What is the highest common divisor of g and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -345, -688, -1031?\n\"Answer: -343*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 60 and 48940.\nAnswer: 146820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, 1, 134, 3, 11 in descending order.\nAnswer: 134, 11, 3, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = -4*k - 20, -3 = 5*s - k - 8. Suppose 0 = -n - 4*n - 105. Let r be 27\/n - 8\/(-28). Sort s, 6, r in decreasing order.\nAnswer: 6, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 2*c - 0*c. Suppose -10*v = -c*v - 20. Suppose -v*w + 945 = 4*w. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 - 4)*(3*f - 3*f + f**4) + 4*f**4 - 5*f**4 + 5*f**4.\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -56268 less than -56268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/(-7)*2\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 215 * 6.05\nAnswer: 1300.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 7 + 9. Calculate the least common multiple of c and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/(a**(-1\/4)*a))\/a)\/(a\/a**(-1\/5)))\/((a**(-2\/3)*a)\/(a*a**(1\/6)\/a*a)) assuming a is positive.\nAnswer: a**(-67\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3 - (4 + -7) - 10\/(-2). Solve p*h = -2 - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 551*a**2 + 373. Let l(p) = 3*p**2 - 8. Let j(k) = 3*h(k) + 6*l(k). Differentiate j(g) with respect to g.\nAnswer: 3342*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f - 91*c + 87*c, -3*c = -2*f + 40. Solve -47*u - 33*u = -f*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**2 + 15*l + 28. Let c be i(-12). Sort -2, 4, c in descending order.\nAnswer: 4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-6)\/(-12))\/(2\/12). Suppose -3*u + 3*n + 21 = 0, 1 + 12 = u - g*n. Let i(w) = w**3 - 5*w**2 + 5*w - 2. Let l be i(3). Sort 5, l, u.\nAnswer: l, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(-23))\/(x*(x*(x*x**(-4\/11)*x)\/x)\/x))**(-1\/16) assuming x is positive.\nAnswer: x**(65\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a kilometer in meters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -4 - ((-2130)\/(-35))\/6. Let d = 2511559\/252 - 89560\/9. Let t = d + j. Which is smaller: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 31*v - 66*v**4 + 5 - 2*v**3 + 72*v - 40*v to the form l*v**3 + x*v + n + w*v**2 + t*v**4 and give t.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.03888 to 4 dps.\nAnswer: -0.0389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 83510 and 1193.\nAnswer: 83510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s - 3, 0 = -4*n + 2*s - 2. Let h(l) = -l**3 + 3*l**2 + 6*l - 7. Let k be h(4). Suppose g = a, k + 4 = 3*a + 2*g. Which is greater: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 495360 a multiple of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20292425?\nAnswer: 5, 811697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 137 is divided by 64?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (-6*(4*(sqrt(2299) - (sqrt(2299) + 2)) + 2 + 3 + sqrt(2299)))**2*3.\nAnswer: -7128*sqrt(19) + 249259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x + 15 = 4*x. Let u be (x - -7) + 17*20. Let w be (-112)\/u + (-4)\/(-18). Is 0.1 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 4, 319.737 in descending order.\nAnswer: 319.737, 4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 4*y + 3. Let v be u(0). Suppose -s + v*s + 12 = 0. Let q(o) = o**3 + 9*o**2 + 4*o - 5. Is q(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 1 = -w, 2*d - 4 = -4*w - 0. Let p be (1 - (d - -6))*3. Let v be 5*2\/p*1. Which is the nearest to 0.1?  (a) 0.4  (b) v  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -4*v + 41. Suppose -5*t - 3*y + 496 = -0*y, t = -3*y + 104. Let o = 163 - t. Calculate the remainder when o is divided by n(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 = -5*v + c - 24, -2*v - 34 = -4*c. Which is smaller: v or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -24 or -89205\/3953?\nAnswer: -89205\/3953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**3 - 8*o**2 - o - 7. Let w be i(-8). Let x be w + -8*(-2)\/4. Solve -x*c + 9 = -11 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 72 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Total of -12 and -4.928.\nAnswer: -16.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**2 + r - 2. Let f be 0 + -2 - (-2 + 0)\/2. Let w be f - (9\/6 + (-63)\/14). Calculate o(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 65 and 637?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 191438*n - 191434*n + 184 = 14*a, -3*a = 0 for n.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.02 + 3.02. Sort 2, 5, j.\nAnswer: 2, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/(-14) - 33644\/3640 - -10.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-30)\/9)\/((-2)\/3). Suppose -3*x - 4 = x - 5*w, -3*w = -12. Put 1, x, l in increasing order.\nAnswer: 1, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1  (b) -3\/5  (c) 107  (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.7?  (a) 7\/5  (b) -0.4  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the second derivative of s**6\/360 - 11*s**4\/12 - 4*s. Let o(m) be the third derivative of f(m). Let j(i) = -28*i**2. Give j(o(z)).\nAnswer: -112*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*p**5 + p**2 - p**2 + (-3 + 3 + p**2)*(-9*p + 9*p + 10*p**2)*(-37 + 13*p + 37 + (3*p - p - p)*(2 - 1 - 3) - 3*p + 2*p - p).\nAnswer: 88*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1708476931?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*d = -1 - 44. Solve -18 = -d*n - 33 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -344 - -829. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/1 - (1 - 0). Suppose c*x - 84 = -4*x. Let o(z) = 4*z**3 - 29*z**2 - 112*z + 503. Calculate the remainder when o(9) is divided by x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, v: 2, s: 5, g: 3, e: 1}. What is prob of picking 2 g, 1 e, and 1 s?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -2*g**3 + 52*g**2 + 52*g - 55. Determine a(27).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 4*d**2 - 49*d + 23. What is the remainder when 840 is divided by j(14)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 less than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 50 - -42. Let f = g + -64. What is the remainder when f is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 - 29 = 5*l. Suppose 14 = j + 3. Let u = j - l. Calculate the remainder when 43 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-88)\/(-5)*(1 + 4). Suppose k + 3*k = f. Calculate the lowest common multiple of k and 1\/2 + 6741\/630 - 16\/(-20).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3314*c*g**5 + 6*c*g + 26 wrt g?\nAnswer: 66280*c*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 5*c - 0. Is (-3)\/12*c + 3065\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqkkqqkqkq. What is prob of picking 3 q and 1 k?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4344 + 4123. Is g equal to -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 0) + -13 + 22 - ((-38 - 6) + -3)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 2*((-4 + 1*sqrt(1377)*3 + sqrt(1377))*-4)**2.\nAnswer: -9216*sqrt(17) + 705537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 1 + 4)*(1 - 5 - 16)*(7*n**2 - 3*n**2 + 2*n**2).\nAnswer: -960*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(-2) + 12\/(-16). Let f = 345\/8 - 43. Which is the third biggest value?  (a) f  (b) -3  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 130131 (base 5) to base 7\nAnswer: 20461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 8 = j - 0*p, j - 17 = 5*p. Let z = j - 1. Is ((-22)\/(-8))\/(z\/28) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*x**3 + 28324 - 28324.\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 388, -171, -1102, -2405?\n\"Answer: -186*i**2 - i + 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 920666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is z in 20*z**2 - 18*z**3 + 7*z - 13 + 23*z**3 - 2*z - 17 = 0?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -126439, -252907, -379375, -505843, -632311?\nAnswer: -758779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.3, -107, -10, -46176?\nAnswer: -46176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38746 is divided by 116?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 0 = -2*k. Let u be k - ((-148779)\/3270 - 3). Let g = 1\/545 + u. Find the common denominator of g and 49\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -59*d**2 - d**3 - 3*d + 55*d**2 + 3 + 8*d. Let k be (1 + 18\/(-4) + 3)*10. Let g be i(k). Solve -g*p + 30 = -5*l, 4*p + 2 - 7 = -5*l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r - 1. Let l(u) = -17*u - 7. Let i(j) = -l(j) + 2*t(j). Let x be i(-7). Let s = 191 + x. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/(-4) + 18\/(-72). Solve l = -2*x - x - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 9 + -751206?\nAnswer: -751197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes before 4:42 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -5*h**3 - 645*h**2 - 610*h + 3840 = 0.\nAnswer: -128, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the first derivative of -1\/2*p**2 + p + 8. Differentiate o(x) with respect to x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2818688495.12 - 10.\nAnswer: -2818688505.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 23 = -8. Let n = r + 75. Calculate the highest common divisor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -2*u**2 + 2*u + 6. Let n(q) = 6*q**2 - 6*q - 17. Suppose -4*s = 49 - 149. Suppose s = -4*p + 1. Determine p*n(o) - 17*g(o).\nAnswer: -2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -48 or -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 11*p**2 - 5*p - 93. Let o(v) = 4*v - 1081. Determine m(o(w)).\nAnswer: 176*w**2 - 95148*w + 12859483","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 449479397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -619 + 656. Put z, 1\/5, 1\/11 in increasing order.\nAnswer: 1\/11, 1\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2248 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/253 and 5\/2024.\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express ((1 - 3 + 0)*(-m - 2 + 2) + 2*m - m + 0*m + 3*m - m - m + 2 + m - 2 + 2 - 2 + 11*m)*(0*m + 3*m - 2*m) in the form k*m**2 + r + c*m and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -382 divided by 1?\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 134*r - 243 - 359 = 1274 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes before 2:41 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 101\/381126?\nAnswer: 101\/381126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 26 - 19 = 0. Suppose -c + b + 38 = -0*b, -2*c + 3*b = -80. Let f = -22 + c. What is the smallest common multiple of p and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and 0.47.\nAnswer: -0.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -21053 + -0.06\nAnswer: -21053.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 6*x = 9. Let a(l) = l**2 - 2. Let i be a(4). Suppose c + 0*c - 3*b - i = 0, 22 = x*c + b. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 304185 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 192*a - 50*a**3 + 0*a**2 + 54*a**3 + 54 + 3*a**2.\nAnswer: 4*a**3 + 3*a**2 + 192*a + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 100 = -x - 19*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f + 17*j + 14 - 71 = 60, -30*f + 32*f - 12 = -3*j for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve b**2\/5 - 992731*b\/5 - 31768416\/5 = 0 for b.\nAnswer: -32, 992763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k - 40 = k + 4*q, -10*q + 16*q - 7*q - 10 = 16*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 286 = -4*j, -a + 28 = -5*j - 61. Calculate the remainder when a is divided by 35.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -147  (b) -3  (c) 0.4  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*j**2 - 2*j**2 + 0*j**2 - 13*j**2.\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, 4\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 1841*y - 29471. Determine x(16).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 2\/21413465 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**2 + h + 5. Suppose -2*r + 3*f + 9 = 2*r, -3 = -2*r + 3*f. Suppose 3*i + r*y + 12 = 0, 2*i - 20 = 3*y + 2*y. Calculate z(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 127*n = 144*n - 136 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 693\/(-55) + 11 + (3\/(-5))\/(-1). Suppose -h - 1 = 3. Sort -8, j, -3, h.\nAnswer: -8, h, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -259*h**2 - 173*h**2 + 287*h**2.\nAnswer: -145*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.021019386 + -2.\nAnswer: -1.978980614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.5?  (a) 38  (b) 2\/9  (c) 3  (d) 2\/13  (e) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127\/60 and 13\/110.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 609226 is divided by 6031?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the second derivative of 3*s**6 - s**5\/20 + 51*s**2\/2 + 995*s. Find the first derivative of z(l) wrt l.\nAnswer: 360*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 103981 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wznf when four letters picked without replacement from fzsnnwnwwnwnn.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 + -5. Let t = r + 5. Factor 0 + 1\/3*v + 1\/3*v**t - 1\/3*v**3 - 1\/3*v**4.\nAnswer: -v*(v - 1)*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6618947\/9 + -734515. Let q = u + -921. Calculate the common denominator of -139\/12 and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 717, 807, 901, 999?\n\"Answer: 2*u**2 + 84*u + 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 182408 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3.05 + -0.05. Let d = 91.96 + -91.76. Put d, h, 1\/6 in decreasing order.\nAnswer: h, d, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 68*m - 399. Suppose 4*x = -0*d - 2*d + 108, d = 4*x - 120. Suppose 0 = z - x + 13. Calculate the lowest common multiple of z and o(6).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 101*s - 236. What is the units digit of d(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*t**3 + 750*t**2 - 4365*t + 6480.\nAnswer: -5*(t - 144)*(t - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 215302 (base 7) in base 14?\nAnswer: db39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 16?  (a) -4  (b) 0.1  (c) 0  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (48\/(-20) - 0)\/(18\/20). Sort m, 0.5, 0.4.\nAnswer: m, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -573*a - 42. Let f(w) = 4*w**2 + 3*w - 6. Let t be f(2). Let j be z(t). Round j to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*f + 2171 - 713. Suppose -f = -4*o + 2*o. Does 27 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (14 - 8) + (-5 - (5 + -4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 90, -3, 4, 41621, -4, 3, 5 in increasing order.\nAnswer: -4, -3, 3, 4, 5, 90, 41621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -3, 19\/10, 483, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 4*p + 34 + 18, 5*y - 74 = 8*p. Let g be (-50)\/(-220)*8\/y. Factor g*n**3 + 0 + 6\/11*n + 8\/11*n**2.\nAnswer: 2*n*(n + 1)*(n + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - i - 9 = -24, -v - 2*i = -10. Suppose -102 = 2*o - 5*o. Suppose 0 = -v*r - 2*l + 36, -2*l = -2*r + l + o. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -233 + 327. Calculate the greatest common divisor of m and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/4 < -2.2368237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2609, -2611, -2613, -2615, -2617?\nAnswer: -2619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2\/7, 4521, 0.41, 0.5?\nAnswer: 4521","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28313460?\nAnswer: 2, 3, 5, 7, 23, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1916542 divided by -13127?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 640554516?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 + 10. Suppose 7*y - 3*y = 56. Suppose 6 = l*h - y. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbhyyhybbhybb. Give prob of sequence hhhb.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 15283.2 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 3 + 141*g + 35*g.\nAnswer: 176*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 985*l**3 - 2*l**4 - 1470*l**3 + 1 - 3*l + 5*l to the form k*l**3 + u + z*l**2 + c*l + w*l**4 and give k.\nAnswer: -485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let h = -4939 - -4939.23016. Round h to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 205736, 416139, 626532, 836909, 1047264, 1257591, 1467884?\nAnswer: 1678137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:08 AM and 8:54 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 7732.19886 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.1 + -1.9. Which is the second smallest value?  (a) 0  (b) 6  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 136*c**4 + 52*c.\nAnswer: 1632*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n + 2775 - 2791 = -2*a, 7*n + a = 28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -168 + 18 = -15*i. Suppose -2*j - 4*l = i, 0*l = 3*j + l - 5. Let u = 5.4 - 5. Do j and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the second derivative of 41*x**3\/3 - 9*x**2\/2 - 7*x. Is a(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2365622 (base 9) in base 8?\nAnswer: -4712732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 951920*u - 4759596. Calculate v(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the second derivative of 7*y**6\/30 - 5*y**3\/2 + 4*y. Find the second derivative of x(i) wrt i.\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 95358, 190716, 286080, 381450, 476826, 572208?\nAnswer: 667596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**2 - 12*s + 11. Calculate the remainder when t(-11) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -110756 or -109727?\nAnswer: -110756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*r + 6*w - 1643 + 1683 = 0, 0 = -4*r + 7*w + 82 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 12 = -4*p. Suppose 3*w = -5*v + p, 2*w - 6*w - 3*v + 16 = 0. Solve 0*h = -w*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**2 - 8*d + 5. Let p be i(7). Let o = p + 11. What are the prime factors of (o\/12)\/((-2)\/(-192))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-2)*8\/(-15)*25\/(-20).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -267.6 + 266. Let l = 45.1 - 47. Let f = l - w. Which is the nearest to f?  (a) 0.5  (b) -4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 3*i**3 - 2*i**2 - 2*i + 2. Let f(l) = l**2 + 6*l + 2. Let u be f(-6). Let m be k(u). Suppose 5*d = -m + 129. List the prime factors of d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 - -13. Let c = 10.04 + -1.94. Let o = w - c. Sort o, -0.2, 0.3.\nAnswer: -0.2, o, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w = 4, 0 = -4*d + 45*w - 46*w - 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4 and 4.515?\nAnswer: 18.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 81 times 5613\nAnswer: 454653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -17 - 17*f + 8 + 12. Let p(l) = -11*l**2 + 8*l. Let x(a) = 7*a**2 - 5*a. Let w(r) = 5*p(r) + 8*x(r). What is t(w(u))?\nAnswer: -17*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 6 - 20 - -30 - -7\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 4604 = -5*q. Is q\/(4 - 18\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 2*l = 3 + 15, 2*v = -l - 9. Let t be v*3\/6 - -9. Calculate the highest common factor of t and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + q = 186, 79 = -h - h + 5*q. Calculate the common denominator of 1 + 174\/(-28) + 0 and h*15\/(-50) - 0.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-3)*25\/(-10))\/((-6)\/(-3))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13)\/(-39) + (48\/(-9) - 3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 349023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z = 5*s - 16, -2*s - 11*z = -12*z - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15 and 276639765?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3177629925.\nAnswer: 3, 5, 42368399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 3 + 4)*(-2 + 2 + 12)*(-12*d - 10*d + 3*d) as q*d + k and give q.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of a*b*z**3 - 7*a*b*z**2 - 3*a*z - 183*z**3 wrt b?\nAnswer: a*z**3 - 7*a*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**3 + 2*c + 2. Let l(g) be the first derivative of -g**4\/2 + g**2 + 2*g - 18. Determine -2*l(u) + 3*r(u).\nAnswer: u**3 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from sctrsrsrrrtsriir.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 722*m - 866 = 720*m. Are 0.1 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 666119.\nAnswer: 666119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the third derivative of d**5\/60 - d**4\/24 - 19*d**3\/6 - 186*d**2 - 1. Calculate l(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -56, -0.4, 8, 4, 35\/1329 in descending order.\nAnswer: 8, 4, 35\/1329, -0.4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3*(2 - 1 - 2). Let n be (1 - (4 - 11)) + -6. Let i be w\/(18\/n)*-12. Solve -i*b - 15 = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -105 - -238. Suppose -5*c + 936 = j, 0 = -c + 2*j + t + 52. Calculate the greatest common divisor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 7*x**3 - 11*x**2 + 9*x + 1. Let l(f) = f**3 - f**2 + f. Let t(r) = -5*l(r) + s(r). List the prime factors of t(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17 = 2*g - 27 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 * -0.67\nAnswer: -0.201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a - i + 10, -5*a - 3*i = 1 - 17. Suppose 3*h = -2*l, -2*l = -a*h - 8 - 12. Let c = 1 + l. What is the least common multiple of c and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/6)\/((-91)\/(-26)) - 255668\/(-1653505).\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**(-3\/11)\/(f**(2\/17)\/f))\/(f**2)**(-1\/3))**34)**(-1\/9) assuming f is positive.\nAnswer: f**(-1432\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 584*k**3 - 22*k**2 + 135059.\nAnswer: 1752*k**2 - 44*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*d + 11044933 = 11042489 for d.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 37*a - 62. Let f be q(8). Let d = f - 61. Does 26 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 96 + 83. Suppose d = 4*g - 205. Calculate the highest common divisor of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(22) - (sqrt(308)\/sqrt(7))\/sqrt(2) - sqrt(154)\/sqrt(7)*5)\/((1*sqrt(256) - sqrt(16))\/(sqrt(32)*-3)).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2694913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 54 + -30. Let p = l - 1. Suppose 3*w + 5 = p. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (14*l**2 - 25*l**2 + 55*l**2)*(20*l - 120 + 120)*(-1 - 1 + 3) to m*l**2 + r*l**3 + t*l + j and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**3 - 11*q**2 + 29*q - 15. Give n(8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 427, 855, 1285, 1717?\n\"Answer: q**2 + 425*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 110 + 94 = 0. Let h = 99\/2 + f. Let o = 2.1 + -2. What is the closest to o in -3\/7, h, -5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:54 AM and 8:38 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000417 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5247*q = -6315*q - 63012 for q.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2*1\/5)\/((-3)\/(-15)). What is the remainder when 15 is divided by 1*(1 - 3) + (-12)\/s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-5)\/f**(1\/15))**26)**(-1\/48) assuming f is positive.\nAnswer: f**(247\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*h + 1 + 1204*h**2 - 628*h**2 + 3*h**3 - 654*h**2 to the form m*h**3 + a + o*h**2 + k*h and give o.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t + 6. Suppose -2*w = -5*x + 99, 5 + 5 = -5*w. What is the remainder when x is divided by i(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4578058.444700862 + 4578149.6447. Let z = j + -91.2. What is z rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 519 or 518?\nAnswer: 519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3337121 or -16685598\/5?\nAnswer: -3337121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:29 PM and 4:05 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -136 - 136 = -16*c. What is the highest common factor of c and 527?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 1 - (-14 - (-5 - 0))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -87*l - 5. Let j(z) = 88*z + 6. Let p(m) = -m**3 + 7*m**2 - 6*m + 4. Let q be p(6). Let w(b) = q*a(b) + 5*j(b). Is w(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zjq. What is prob of picking 1 j and 1 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 13*g**4 + 28*g**2 - 34*g**2 + 163*g**3 + 1 - g**2 + 22*g + 0 + 7*g**4 wrt g?\nAnswer: 480*g + 978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 155, 158, 155, 140, 107?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 4*b = -20, -b + 39 + 2 = 5*u. Suppose -g = -3*p - 3, 5*g + u = 4*p + 24. Solve -4*c - 5*i - 2 - 6 = p, -5*i - 17 = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10658?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -211\/5  (b) -0.08  (c) 0.3  (d) 103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -62, -2, 1 in decreasing order.\nAnswer: 1, 0, -2, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -103116 by 2.\nAnswer: -51558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 - -1716ad2?\nAnswer: 1716ad2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -3756 + -171\nAnswer: -3927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 4*s - 61. What is d(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1290*a**3 - 2086*a wrt a?\nAnswer: -7740*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/4*8\/(-10))\/((-824)\/(-20600))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.008661728 rounded to four dps?\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**3 + 12*b**2 + b + 9. Give y(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/s**1*s**(-29) assuming s is positive.\nAnswer: s**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ixxxxxxixxxi. Give prob of picking 1 i and 2 x.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 426940 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2079318363.\nAnswer: 3, 43, 1499, 10753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*q - 4*q + 0*q + (-3 + 0 + 1)*(-4 + 4 - q) + 56 - 3*q + 4*q + 15 as l*q + v and give v.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the second derivative of 5\/6*r**3 - 1\/12*r**4 - 1\/2*r**2 + 0 - r. Calculate v(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 186 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 78 + -70. Suppose 0 = t - 2*j - 8, 0*t - 4*j - b = 2*t. Solve 6*x**2 - x**t - 70 + 55 + 10*x = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 <= -18\/1103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (-4 - 0) - (-5 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 25 + 13. Let f = -138 - -143. Suppose 25 - 133 = -f*j - 3*b, 2*j - 2*b = 40. Calculate the remainder when w is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 6762500.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0\/(-1 + (1 - 2)). Let a(z) = z + 11. Let j be a(-9). Sort j, u, 5 in decreasing order.\nAnswer: 5, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 325*a**3 - 169*a**3 - 4 - 164*a**3 + 4.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -896, -1750, -2604, -3458, -4312, -5166?\nAnswer: -6020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -33*k**2 + 21*k + 793. Let m(b) = -56*b**2 + 36*b + 1322. Give -7*m(i) + 12*v(i).\nAnswer: -4*i**2 + 262","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 60, -3, 1\/6, 0, 35, -1 in ascending order.\nAnswer: -3, -1, 0, 1\/6, 35, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/7  (b) -1  (c) 0.207\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -616622 divided by -242\nAnswer: 308311\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3748 and 0.5.\nAnswer: -1874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2543 + 1.828.\nAnswer: -2541.172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-14)\/4)\/(9\/18)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.53 + -0.33. Let g = m - 0.199976. What is g rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -217*p**5 - 14*p**4 + 497*p**3 - 78*p**2 + 130*p - 6851 wrt p?\nAnswer: -13020*p**2 - 336*p + 2982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 6*o - 165 = 0. Let z = 125 - 99. Let k = o - z. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3118690 is divided by 3548?\nAnswer: 3546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.163 + 0.282. Let f = 0.5 - q. Round f to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:12 PM and 1:43 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 591822 and 815997?\nAnswer: 53855802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 755 (base 11) to base 6.\nAnswer: 4111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -790*b - 22231. What is z(-26)?\nAnswer: -1691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 27*t + 116*t - 76*t to i*t + z and give i.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.17409?  (a) 2\/3  (b) 0.21  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 24*t. Let k(p) = -p**2 + 579*p. Determine h(k(m)).\nAnswer: -24*m**2 + 13896*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 152 + 140 = 2*r, 3*b - 5*r + 434 = 0. List the prime factors of 6\/14 + b\/(-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m**3 + 18*m - 11. Let k = -799 - -794. What is the smallest common multiple of 108 and y(k)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -4\/17, -4, -0.05, -0.1 in ascending order.\nAnswer: -4, -0.5, -4\/17, -0.1, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -1264 - 331. Calculate the remainder when t is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -27.39 + 27.29. Which is greater: -7\/67 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8891 + 12124. Calculate the highest common factor of x and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 8 = 8. Let k be 1*8*(-6)\/6. Let u be 4\/(-8)*k - 0. Sort 1\/6, x, u in descending order.\nAnswer: u, 1\/6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -3*t**2 - t - 1. Let m(z) = 3*z**2 - 2*z - 1. Let k(x) = -37*x**2 + 25*x + 12. Let s(l) = 2*k(l) + 25*m(l). Determine -p(r) - s(r).\nAnswer: 2*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the second derivative of -5\/6*z**3 + 3*z + 0 - 1\/12*z**4 + z**2. List the prime factors of k(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/21 and -43\/477.\nAnswer: 3339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 128156 is divided by 178?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1381970\/29 or -47654?\nAnswer: -1381970\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 3225.6807 to the nearest one hundred.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**3\/8 - 3*s**2\/2 - 33*s\/8 - 9\/4.\nAnswer: 3*(s - 6)*(s + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*m**4 - 62824*m**3 + 216*m**2 + 3410 wrt m?\nAnswer: -120*m - 376944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 43727 and 148552.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 13*t**2 + 2*t - 15. Give p(-4).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 0 - 6 + 6*r.\nAnswer: 6*r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 1  (b) -2\/5  (c) 4  (d) 798  (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z\/(z\/((z\/(z**(3\/8)*z))\/z)))**(1\/23)\/(z\/(z**(-20)\/z*z)*z*z*z\/(z\/z**(-21))) assuming z is positive.\nAnswer: z**(-371\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 459, 456, 453, 456, 471, 504, 561?\n\"Answer: w**3 - 6*w**2 + 8*w + 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -317, -630, -949, -1280, -1629, -2002?\n\"Answer: -q**3 + 3*q**2 - 315*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2525\/6 + 417. Suppose 9*j = 5 + 4. Calculate the common denominator of (0 - j\/2)\/(22\/(-858)) and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 4 = -16. Suppose x - 2 = 4*j, z = 5*x - 3*x. Suppose j = 3*y + 2*y - 125. Calculate the remainder when 47 is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c - 107 - 110 - 107 + 309. Calculate f(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**3 - 4*f**2 - f + 7. Suppose -3*c - 6 - 6 = 0. Does 10 divide m(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = -u - 4*p + 5, 0 = -2*p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/22)\/(275\/(-3850)*14\/4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 73000 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 5*z - 106 = 0, -38*o + 40*o = z + 167. Calculate the least common multiple of o and 6.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -122 and -300619.\nAnswer: 36675518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -749 + 747. Which is greater: 234 or t?\nAnswer: 234","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 3 - 8 + 6*z**2 - 8*z**2 + 13. Let c be b(-3). Do c and -62\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the second derivative of 0 - 5*f + 17\/2*f**2 + 1\/20*f**5 - 13\/6*f**3 + 13\/12*f**4. What is the units digit of h(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**2 - 116*i + 3256. Calculate l(48).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**3 - 242*c**2 + 4959*c.\nAnswer: -c*(c - 19)*(c + 261)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 6 (base 9) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.12 - -0.85. Round x to 1 dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 119.93 and -4994?\nAnswer: -598930.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**2 + 10*l - 4. Let w be (-35)\/(35\/7) - 2. What is p(w)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**2 + 10*q + 15. Let m be 3\/7 + 1743\/49. Suppose 43*j - 37*j + m = 0. Give z(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4467812 rounded to the nearest one thousand?\nAnswer: -4468000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3567 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: -1411930 (base 12) to base 10\nAnswer: -4005108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**3 + 13*m**2 - 15*m - 192. Calculate u(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 90563405 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: Let r(k) = -k**2 - k + 1. Let w = -97 - -123. Suppose 0*z - w*z = 78. What is r(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 - (16 + -2 + (185 - 238))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the first derivative of -3*h**2\/2 - 21*h + 5. Let w be (-12)\/3*4\/((-16)\/(-8)). Let i be p(w). Solve i*f - 9 = 6*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 34709*f - 78. Is z(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15415.\nAnswer: 5, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3392 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 4 - 3*c)*(-2 + 2 + 1)*(-162 - 150 + 255)*(3*c - c - 4*c) to n + k*c**2 + y*c and give k.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -6198*d**2. Let j(a) = -9*a**2. Give j(s(y)).\nAnswer: -345736836*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -76743284*n - 181689637?\nAnswer: -76743284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(130)*3 - sqrt(130)) + (sqrt(130) - -2*sqrt(130))*-5)\/(1*sqrt(160) + sqrt(40)\/sqrt(4)*-3).\nAnswer: -7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 1035938.7 to the nearest ten thousand.\nAnswer: 1040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(-1\/18))**(-17)\/(p**(-3\/23)*p**8) assuming p is positive.\nAnswer: p**(-9905\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 2*o**2 - 15*o**2 - 5*o**2 - 10*o**2 + 2*o**2. Let b(q) = -11*q. What is b(r(x))?\nAnswer: 286*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4349 + 4352. Put -0.7, 96, -1, l in increasing order.\nAnswer: -1, -0.7, l, 96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31a (base 15) to base 3.\nAnswer: 221221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -19*u**2. Let q(k) = -279*k. Determine v(q(n)).\nAnswer: -1478979*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1820016013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l - 16. Let p be y(-21). Which is smaller: -36 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000005818 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 8610, 17205, 25806, 34413, 43026, 51645?\n\"Answer: 3*f**2 + 8586*f + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 142398 is divided by 8322?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*r**2 - r**2 - r**2 + (1 - 1 - 3*r)*(r - 2*r - r) + 820*r**2 + 909*r**2 - 539*r**2 in the form i*r**2 + j*r + s and give i.\nAnswer: 1198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1153 + -23151?\nAnswer: -24344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bffzfffifyzybfi. What is prob of picking 2 f and 1 i?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the first derivative of -41*u**4\/4 - 34*u**3\/3 - 40. What is the third derivative of j(s) wrt s?\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**3 - 10*u**2 - 20*u - 13. Determine m(-9).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 2*o**2 - 358*o - 14730. Determine p(-35).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**2 - 97*w - 508. Let k be y(-5). Which is the nearest to 0?  (a) -5  (b) k  (c) 1\/2  (d) -0.309\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the second derivative of -3*a**5\/20 - a**3\/3 + a**2\/2 - a. Let y = -17 - -18. Calculate z(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 4, f: 1, r: 2, g: 6, a: 3}. What is prob of sequence ddra?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11*a**3*y**2 - 2*a**3*y - a**2*y - 94*y**2 wrt a.\nAnswer: -66*y**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the first derivative of 4*u**3 + u**2 + 17*u - 41. Let d be p(-6). What is the third derivative of 3*i + 451*i**2 - 20*i**5 - d*i**2 - 3*i wrt i?\nAnswer: -1200*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**3 - 11*n**2 + n + 12. Is o(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/(-5))\/(2\/10). Let d be ((-4)\/(-10))\/(30\/75). Let m be (v + d)\/1 - -13. What is the highest common factor of 18 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12651.1 + -2246.78?\nAnswer: -14897.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/7 - (-9 - (-150)\/42). Suppose -290*b + v = -288*b. Let y(h) = 190*h - 80. Let s(t) = -7*t + 3. Give b*y(j) + 80*s(j).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1312345.861 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1946, -1874, -1738, -1532, -1250, -886, -434, 112?\n\"Answer: b**3 + 26*b**2 - 13*b - 1960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cgh when three letters picked without replacement from {h: 2, t: 4, u: 2, c: 7, g: 4, k: 1}?\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/(h\/(h*h\/(h**(-6)\/h)*h))*h*h**(-8\/5))\/(h**2*h*h\/((h\/(h*h**(2\/7))*h*h)\/h)))**(3\/10))**(6\/7) assuming h is positive.\nAnswer: h**(1926\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 58 * 15569.3\nAnswer: 903019.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -31*m**3 + 9*m**3 + 3*m**3 + (4*m - 3*m**2 - 4*m)*(7*m - 7*m - 3*m) as k*m**2 + n + w*m + d*m**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1903?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**3 + 9*q**2 + 8*q + 18. Calculate z(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 694 is divided by 51?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1011237 is divided by 1578.\nAnswer: 1317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10145*u = -10427*u - 564 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, u: 3, h: 2, l: 3, k: 2, r: 1}. Give prob of sequence ral.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6252 and 148?\nAnswer: 925296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (255*r + 240*r - 493*r - 271)*(-5 + 0 + 0).\nAnswer: -10*r + 1355","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1110 a factor of 214468952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, -304\/5, 3\/2194 in increasing order.\nAnswer: -304\/5, 3\/2194, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -16*f**3 - 18*f**2 - 38*f - 21. What is h(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 10 = 6. Suppose -5*c = -2*c. Let z = n - c. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 26\/4 - ((-30)\/12 - -3). What is the common denominator of (x\/105)\/(7\/105) and (-13)\/(-10) + 0 + 1?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 11835322?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 475*y**6 + 30*y**2 - 3*y.\nAnswer: 57000*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wxxw when four letters picked without replacement from wxwxxwwxlowx?\nAnswer: 10\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/9, 21, 2, -42, 0.4, -74?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 473, 3232, 10721, 25304, 49345?\n\"Answer: 394*w**3 + w**2 - 2*w + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -49*t - 60. Let v be i(-19). Let z(y) = -y**3 - 2*y**2 + 4*y + 1. Let o be z(-4). Suppose 4*n + v = o*n. What are the prime factors of n?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -208 = 65*a - 39*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:42 PM and 10:21 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -2*f**3 - 35*f**2 + 17*f - 19. Let l be n(-18). Let a be ((-76 - -1) + l)*22\/(-44). Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(-2\/29))\/k*(k\/(k\/k**(2\/47)))\/k assuming k is positive.\nAnswer: k**(-1211\/1363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -30*g - 2. Let k(u) = -u - 1. Calculate 2*k(z) - w(z).\nAnswer: 28*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 420.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oowowwowwwwwo. Give prob of sequence ooow.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 447062545?\nAnswer: 5, 163, 548543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -109*y + 68463 + 207. Is y a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (11 + -7 - 5 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 20 = -6*m. Suppose -2*f = -m*f - 9. Let h = f + 6. Calculate the smallest common multiple of h and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 769, 2714, 5951, 10480, 16301?\n\"Answer: 646*d**2 + 7*d + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from hxx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -19 - -12. Is -7 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 15 = -l. Suppose -5*f - 5*p = -435, -4*f + 289 = -4*p - 59. Suppose 0 = -3*u - f + 93. Solve l*m = -5*t - 19, -u*t + 3*m - m + 2 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/978593 and 28\/9086935.\nAnswer: 63608545","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Is 1737 a factor of 281963736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -8*h + 66. Let r be n(8). Sort 4, r, -5, -3 in descending order.\nAnswer: 4, r, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/8*(-1464)\/(-305) - 32?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is (4 - 3) + (-4906)\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47668 is divided by 23832.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-282)\/(-8) - (42\/8 + (14 - 21))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.04874 - -148.95126. What is the closest to 6 in -2\/3, f, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**3 + 12*d**2 - 2*d - 8. Let i(s) = -4*s**2 + 2*s. Let q be i(2). What are the prime factors of j(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 672 and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = -d + 3. Suppose 2*y + 50 = 2*c, -d*y + 13 = 1. Suppose -4*f = -121 + c. What is the remainder when f is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((6*-2*sqrt(11))**2 + (1 + sqrt(11))**2 + -5)*-4.\nAnswer: -6361 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(14)\/(sqrt(63)\/sqrt(9))*5 + 0 + sqrt(98) + 3 + sqrt(98).\nAnswer: 3 + 19*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58899 = -14345*z - 46574 - 160605 - 6477 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wdwwwwww. What is prob of picking 1 d and 2 w?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:12 PM and 12:37 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that z**3\/4 - 1705*z**2\/2 + 15264*z = 0.\nAnswer: 0, 18, 3392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -43, -43, -29, 5, 65?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/31110 and 91\/1464?\nAnswer: 124440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, h: 1, f: 3, g: 9, u: 2, r: 3}. What is prob of sequence guu?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m**2 - 9*m + 5. Let p be s(9). Suppose -a + 2 + 1 = p*j, 0 = 3*j + a - 1. Let f(h) = 5601*h - 1. Let l be f(j). Round l to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13494)\/(-663) + -20 + 0.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -0.04 * 7.5484376\nAnswer: -0.301937504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 6 - 3)*(-2 + 4*w + 2)*(-2 + 0 + 4) to h*w + a and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 50*n + 1. Let b be g(-4). Let d be 9\/(b\/(-98) + -2). Let l = 737 - d. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1075?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 2*x + 3. Let g be k(-5). Let v(n) = n**3 + 6*n**2 - 7*n + 6. Let p be v(g). Solve -l + p*l + 10 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20, -17, -86, -193, -344?\nAnswer: -545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 8\/(-6)*3\/2. Let f be (16\/(-24))\/(i\/(-18)). Let b = f + 29. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1889 (base 11) to base 13\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -117841 and -0.59.\nAnswer: 69526.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d - 7*q + 8 = -4*q, 0 = -2*d - q - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 5 - 159*f**2.\nAnswer: -159*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2923.598 rounded to the nearest integer?\nAnswer: 2924","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the second derivative of 7*p**5\/10 - p**3\/3 + 5*p**2\/2 - 2*p. Suppose -3 = 2*v + 4*g - 5, -5*v + 2*g + 17 = 0. Is z(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79*h + 5*u + 40 = 84*h, -24*u = 96 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -4868 + 3*a**2 + 4868. Let w(x) = -17*x**2. Calculate w(j(m)).\nAnswer: -153*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 81 and 16119.\nAnswer: 16119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(-4\/19)\/g)\/g*g\/(g**(-2)\/g) assuming g is positive.\nAnswer: g**(53\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -15*b - 8. Let u(h) = 5*h + 3. Determine -6*m(s) - 17*u(s).\nAnswer: 5*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**3 + 4*v**2 - v - 2. Let a be r(-4). Suppose -3*g = -4*g + t - 1, -2 = -2*g - a*t. Solve 0 = -4*o + o - f - 4, -o + f = g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 5*l - 2. Let d(c) = 4*c - 1. Let z(p) = -3*d(p) + 2*h(p). Let o(x) = 2*x - 2. Let f be o(2). Let i be (2\/(-1))\/((-4)\/f). Determine z(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 19248130?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(684)*1 + sqrt(684) - sqrt(684)) + sqrt(19))**2 - ((sqrt(475) - sqrt(475)*3 - sqrt(475)) + sqrt(475))**2.\nAnswer: -969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*2*sqrt(68).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -5, 66063, 3 in ascending order.\nAnswer: -5, 3, 5, 66063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 104 and 170378.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/10 + (-14661)\/(-135))\/(-2)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(64)\/sqrt(2) - (sqrt(20) - sqrt(20)*1)\/sqrt(10))**2 + (sqrt(2) - sqrt(16)\/sqrt(8))*-2 + 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -4 - 58*x + 0 + 56*x. Let j(s) = -598 + 1169 - 572. Give f(r) - 2*j(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 17254 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 18345.22429 - 18345. Round z to 3 decimal places.\nAnswer: 0.224","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 4, 9, 14, 19, 24, 29?\n\"Answer: 5*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**2 + 5*r. Let k be a(3). Suppose -15 = -k*n + n. Suppose -19 = -l - 3*i, -5*i + 3 - 46 = -n*l. Calculate the remainder when 30 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8944 and 197184.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 + 4 + 6 - 15)*(0*x**5 - 2*x**5 + x**5).\nAnswer: 18*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 + 17*d**2 + 51*d - 11. Let q be a(-13). Solve -5*f + 0*p = 5*p + 5, -q*p = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12 - 2. Does 8 divide (32\/j)\/(2\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes after 4:58 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 300 + 162 = 78*n - 6 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2*h - 1)*(-3 + 4 - 4) - h - h + h + (-h - h + h)*(-1 + 5 - 2).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-three sixths of a millennium?\nAnswer: 46000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**3 + 4*q**2 + 288*q + 1287. Determine v(-5).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 571349054?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the third derivative of f**7\/560 - f**6\/320 - f**5\/80 - 462*f**2. Factor p(l).\nAnswer: 3*l**2*(l - 2)*(l + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from vvvvvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -62 (base 8) to base 10\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/2 + 56\/2. Suppose u - d = -4*v, 4*v - 28 - 4 = 4*u. Calculate the remainder when ((-720)\/54)\/(4\/(-6)) is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27554 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -620 * 0.02.\nAnswer: -12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1*((3 - -21) + 0). Let v = 62 - s. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -112134404 (base 6) to base 12\nAnswer: -837404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**3 - 6684*r**2 + 5544162*r + 67495896.\nAnswer: 2*(r - 1677)**2*(r + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-36 - -37)*((-4)\/10)\/(-2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 120 and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -11084 - 1386449451\nAnswer: -1386460535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m + 4, 4*m - 212058 = -4*x + 78674. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 661141*r**3 + 1158005*r wrt r.\nAnswer: 3966846*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 0 = 4. Let x(y) be the second derivative of y**4\/12 + y**3\/3 - y**2\/2 - 7*y. Determine x(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -2*r + 5. Let o(y) = -y + 6. Let f(i) = -423*i + 241 + 17 + 446*i. Let d be f(-11). Calculate d*q(z) - 4*o(z).\nAnswer: -6*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*(((w\/(w*w**(2\/15)*w)*w)\/w)\/w)\/w*w*w)\/w*w**8*w**3\/w*w**(-1\/4)\/w assuming w is positive.\nAnswer: w**(457\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r = -166 + 136. Solve -3*w + r = x, -2*w - 4*x + 5*x = -10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9 and (-8)\/(-3) - (-1)\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 - ((-13 - 1) + (-51 - -54))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 2*o**2 - 30*o - 65. Let j be d(-2). Solve 14 = 2*a + 5*b, 5*a + 16 - 13 = -j*b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21720746*24.\nAnswer: 521297904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the third derivative of p**6\/120 + p**5\/15 + p**4\/12 + p**3\/6 - 3*p**2. Let j be s(-3). Suppose -2*a - 4 = -j*a. Sort -5, -1, a in increasing order.\nAnswer: -5, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27644 is divided by 628?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 divided by 9268?\nAnswer: -19\/9268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5b + -345?\nAnswer: -2b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v + 5*z = -5, -3*v + v - 6 = -4*z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18 and -1 + 3 - -19*(6 - 5)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -c62 + -2?\nAnswer: -c64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -5340 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11319196 is divided by 436?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 11 = 8. Solve -w - o*w = 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111000 (base 2) to base 8.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (48 - 44 - 46)*(24*x + 9*x + 7*x)*(2*x**2 - 2*x + 2*x)*(0*x**2 + 5*x**2 - 4*x**2).\nAnswer: -3360*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 148, 147, 146, 145?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-4*sqrt(234)\/sqrt(6))\/(2*sqrt(21)\/sqrt(7))*1.\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j + 2. Let a be b(-1). Suppose c - 36 = -a*c. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cmcmccmcmmcccccc. Give prob of sequence mcmc.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.091 + -4.009. Let k = -4 - d. Let z = -1.66 - k. What is z rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes before 2:56 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/35215080 and -13\/8.\nAnswer: 35215080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**3 + 6*z**2 - 2*z + 2. Let j be (84\/147)\/((-2)\/(-21)). Give i(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.06, -3, 5, 23, -21\/8 in increasing order.\nAnswer: -3, -21\/8, -0.06, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 2*d, -99776 = -3*z + 111*d - 107*d. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1*3\/1*3. Suppose -3*w = 2*s + 19, 2*w - 3*w - 2*s - l = 0. Let q = -88 + 266\/3. Which is the third biggest value?  (a) w  (b) -2\/3  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - 1. Let a be o\/2 + 1\/2. Suppose 3*b + a = 2*h, 0 = -5*h + b - 4. What is the third smallest value in -2, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 527538 to the power of 1\/2, to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 38\/84459 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9738*d**5 + 6*d**4 - 79616*d + 226.\nAnswer: 194760*d**3 + 72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 3*o, -2*v - 4*o + 1 = 17. Suppose -5*l + 8*l - 93 = v. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 g when two letters picked without replacement from {j: 2, g: 1, o: 1, p: 1, v: 1, u: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 20460 - 164811\/8. Let p = n + 12053\/88. What is the common denominator of 2\/6*242\/4 and p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20012021021222 (base 3) to base 6.\nAnswer: 154322255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**2 - 10*p + 13. Let l be n(10). Solve l = -7*o - 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0630869 rounded to 5 decimal places?\nAnswer: -0.06309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -105 - -66. Let r = 81\/2 + h. Which is the smallest value?  (a) 0  (b) 2\/9  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -82, -39, 5 in decreasing order.\nAnswer: 5, -4, -39, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = 3*m - 2*r - 40, -m + 10 = -5*r. Suppose 5*l - 4*o = -o + 34, -5*o - m = -3*l. Let d = 3 + l. Calculate the highest common divisor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the second derivative of u**4\/15 + 2788*u**3\/15 + 971618*u**2\/5 - 78*u. Factor x(l).\nAnswer: 4*(l + 697)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 13115 - 0?\nAnswer: 13115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the first derivative of 29*m**2 + 3*m - 77. Is z(1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = i - 9, -37*i = 5*n - 32*i - 25. Suppose 2*c + 3*t = -40, 0*c = 3*c + t + 53. Let b = 11 + c. Sort -2, n, b in decreasing order.\nAnswer: n, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 0*r = 3*p - 5823, -3*p = r - 1949. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -38 + 44. What is the remainder when 24 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 401674868 to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 + (-11)\/(-9))*(22 - 13). Solve c*f = 2*z + 2, f + 4 - 17 = -2*z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 312 = 4*a, 3*m + 2*a = -32 + 326. Calculate the remainder when m is divided by 28.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -766\/3 - -254. Let v = 13 + -10. What is the nearest to 7 in p, 2\/13, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 1840, 5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 3 = t - 27, -t + 20 = -3*p. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 26*h**3 + 11*h**4 - 26*h**3 + (-h + 6*h - h)*(-2*h**2 + 2*h**2 + h**3) + (1 - 1 + h)*(-1 - h**3 + 1).\nAnswer: 14*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 40850 to the power of 1\/2, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1225603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 13*f. Suppose -a = -4*p + 26, -2*p - a + 2 = 4*a. Let r be u(p). Calculate the highest common factor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5896, -16183, -30862, -49933, -73396, -101251, -133498?\nAnswer: -170137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v + 12*b + 1 = 21*b - 5*b, 5*v - 25*b = -115 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14411 is divided by 13 - (19 - (36 - 15)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 35\/(-39) - (-4)\/6. Let q = -53947 - -53952. What is the second smallest value in -1, d, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 + 2 = -2*q. Let b(l) = 5*l**2 + q*l**2 - 9*l**2. Let z(f) = -f. Let g(d) = -35*d. Let m(j) = -g(j) + 28*z(j). Calculate b(m(n)).\nAnswer: -49*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve b - 16*m = -18*m - 7, 3*m + 14 = -2*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2824 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2741649?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 80821.7930131 - 80776.793. Let y = -2769 - -2814. Let m = u - y. Round m to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 151927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26891, 216912, 733179, 1738814, 3396939, 5870676, 9323147, 13917474?\nAnswer: 19816779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kjhjkjhuu. Give prob of sequence jhhk.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 103 (base 16) to base 9\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 1 = -5*z. Which is greater: 2 or z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2937, 5857, 8775, 11691, 14605, 17517?\nAnswer: 20427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*1 - (-20 + 16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1008067 is divided by 67.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.9 + 1.1. Suppose 0 = 2*f + 2*u - 3*u + 1, 5 = -2*f + 5*u. Which is the nearest to f?  (a) x  (b) 0.1  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*d**3*m*r + 7*d**3*r + 69*d**2*m*r - 13*r wrt m.\nAnswer: -5*d**3*r + 69*d**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -2*o**3 + 2*o**2 + 2*o - 2. Let a(k) be the third derivative of k**5\/60 - k**4\/4 + 7*k**3\/6 + 4*k**2. Let t be a(5). What is h(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j**3 - 22*j**2 - 168*j + 1728 = 0 for j.\nAnswer: -9, 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3149116 and 5463.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, y: 1, z: 2, e: 2}. Give prob of sequence eyz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(7) + sqrt(63) + -4)**2.\nAnswer: -32*sqrt(7) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 20948466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 1552*h + 1564. What is v(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -9*m**2 - 1660*m + 6868. Calculate a(4).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 7 - 15. Let k be f\/(0 + 1 + -2). Let w = -13 + 38. Solve 0 = 3*q + k*q - w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -29*i**2 + 2. Let s(v) be the second derivative of 0*v**3 - 1\/12*v**4 - 12*v + 0*v**2 + 4. Calculate t(s(w)).\nAnswer: -29*w**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -219, -406, -583, -744, -883, -994, -1071, -1108?\nAnswer: -1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 269318*o**3 + 26752*o**2 + 6.\nAnswer: 1615908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 276 minutes after 10:41 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**3 - 17*n**2 + 16*n + 9. Let m be p(16). Let u(r) = 2*r - 16. Let w be u(m). Solve 0 = -3*x + w - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1181)\/1 - (-6)\/2. Find the common denominator of (-4)\/20 - q\/(-360) and 71\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i**4\/3 + 13544*i**3\/3 - 45272294*i**2\/3 - 3990809480*i\/3 - 3854870675 = 0. Calculate i.\nAnswer: -83, -3, 6815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -367 - -369. What is the highest common factor of 4 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**3 + y**2 + y + 3. Let s(c) be the second derivative of c**3\/6 + 5*c**2\/2 + 4*c. Let n be s(-5). What is the units digit of h(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 24 = 5*v. Let h be 2\/v + 33\/12. What is the second derivative of h*g + 2*g**3 - 5*g + 4*g wrt g?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 3 = -2*z, -z + 478 = -3*n. Let q = -120 - n. Suppose -4*x + 3*o = -4, -3*x - 3*o + 2 = 20. Put x, 5, q in ascending order.\nAnswer: x, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67*c + 29*c + 38*c - 23 - c**2.\nAnswer: -c**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -23 + 0 - (-169 + 328 + -112).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 595*o - 16908 = 249*o - 1063*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 < 1251\/2165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kbtvtbbzbtte. What is prob of picking 3 b?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 0*v - 10 = 0. Let a(b) = -b**2 - 5*b - 1. Let x(p) be the second derivative of p**4\/12 + p**3\/3 - 109*p - 2. Calculate v*x(j) - 2*a(j).\nAnswer: -3*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 155*w + 616. Determine f(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 59\/5 of a second in milliseconds?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 900770 divided by -450385?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 5*p**3 - 2*p**2 + p + 13. Let h be z(-3). Let n = 148 + h. Let 1\/4 - 11\/4*i**4 - 7\/2*i**3 - 3\/2*i**2 - 3\/4*i**n + 1\/4*i = 0. What is i?\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 5*z = 0. Suppose 0 = 3*s - 15, z*s = 2*y + 3*s - 7. Is 7 a factor of ((-2)\/y)\/((-1)\/(-36))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 38 - 43. Let s = -739\/6 - -124. Which is the biggest value?  (a) 1\/3  (b) 24  (c) s  (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from soossoosooo.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**2 - 8*o - 1. Let u be w(-8). Suppose 4*j - 4 + 16 = 0. Let d be u - (-12)\/(-1 - j). Solve 5*t + 15 = 2*b, d*b - 4*t = -3 - 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than 42\/39143165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1829, -3650, -5461, -7262, -9053?\nAnswer: -10834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rhtftrgdgtft. What is prob of picking 2 r, 1 f, and 1 d?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -28\/199, -1, -1\/2, -15, 1?\nAnswer: -28\/199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 674.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*k**3 - 6904*k**2 + 5999360*k - 71001600 = 0. What is k?\nAnswer: 12, 1720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -6 - -42?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -42549\/2 less than -21276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 435525095 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(2 + (-2 + sqrt(112))**2 + sqrt(7) - ((sqrt(567)*-1)**2 + 1)).\nAnswer: 90*sqrt(7) + 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -269 + 1 + (24582 - 24443)\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 351, -1, 4, 3, -69, -5 in ascending order.\nAnswer: -69, -5, -1, 3, 4, 351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((16\/12)\/((-25)\/30))\/(66\/(-15))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 484124?\nAnswer: 2, 127, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1337620470?\nAnswer: 2, 3, 5, 47, 971, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 9*j - 2*j**2 + 54 + 4*j**3 - 28 - 24. Is c(3) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**3 - 12*w**2 - w - 6. Let l be (-2)\/(-9) + (-170)\/(-45). Suppose 2*q + 4*t = -4, 32 = -0*q - q + l*t. Does 6 divide z(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15 + 24881714*z**3 + 24881711*z**3 - 12 - 49763429*z**3 - 16 + 43.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 866.1897 tonnes?\nAnswer: 866189700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -c1 - 13?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -331823 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:46 PM and 3:25 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**2 + 88*u + 968.\nAnswer: 2*(u + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(4 + -2 + 1*sqrt(200) + -1))**2.\nAnswer: 500*sqrt(2) + 5025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 94490 is divided by 3493?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(171) - (-2*1*sqrt(171) - sqrt(171)).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 496.5064 - 712.50729. Let j = 216 + r. Round j to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = 2*s, -2*s + 2*y = -0*y - 12. Suppose -16 = -s*n - 0. Let j(p) = 7*p**2 + 16*p - 17. Let x be j(1). Which is smaller: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2686\/11 + -244. What is the second biggest value in 15, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (4 + (sqrt(76) - (-1 + sqrt(76) - sqrt(76))*-6) - -5*-5*sqrt(76)*-1) + 0)**2.\nAnswer: -728*sqrt(19) + 51425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 93 + -87. Suppose 14*s + j*s = 400. Calculate the smallest common multiple of s and 35.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -56*a*t**3 + 3*a*t**2 - 140*a wrt t.\nAnswer: -168*a*t**2 + 6*a*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = b. Let x(h) = 3*h + 53. Let w be x(b). Find the third derivative of 69*o**4 - 13*o**2 - 154*o**4 + w*o**4 wrt o.\nAnswer: -768*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 31558, 63146, 94734, 126322, 157910, 189498?\n\"Answer: 31588*y - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i*i*i**2\/i))**(-20)\/(i**(1\/6)*i**(-1)) assuming i is positive.\nAnswer: i**(245\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -1300 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -10946418 - 5?\nAnswer: -10946422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the first derivative of 2*s**3\/3 - 1. Let r be (-6)\/(-12) + (-2)\/4. Let k(b) = -4 + r*b + 4 - 2*b. What is k(q(m))?\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 38273, 76531, 114747, 152903, 190981, 228963, 266831, 304567?\nAnswer: 342153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -2*x + 49. Let i be q(5). What is the third derivative of -10*w**6 - w + 4*w - 3*w + i*w**2 wrt w?\nAnswer: -1200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 6, z: 4, x: 1, t: 1, n: 1, i: 2}. Give prob of sequence zntx.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -6168, -5691, -4626, -2679, 444?\n\"Answer: 49*n**3 + 134*n - 6351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22271?\nAnswer: 22271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*x**3 - 906*x**2 + 19377*x - 35154.\nAnswer: 3*(x - 279)*(x - 21)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - i + 1 = 2*f, 2*i + 4 = -f. Let c be 0\/(1\/(4\/8)) - f. Solve -3*b - 12 = -h + 2, -c*h + 4*b + 22 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3660810 != 3660809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 203 is divided by 32?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -25257, -25225, -25179, -25119, -25045, -24957, -24855?\nAnswer: -24739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**2 - 3*j - 2. Let w be g(4). Suppose w*f + 11 = -11. Let x(k) = -k + 9. What is the tens digit of x(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 4*t + 1. Let k(m) = 5*m + 2. Give 6*i(g) - 4*k(g).\nAnswer: 4*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-948)\/5530*7\/(-9). Let p = -112 + 110. Which is the third smallest value?  (a) -2\/63  (b) 0.3  (c) v  (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/2 in 0.05, 1\/4, 5, -5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -89 - -162 - 126 - -11\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 103 is divided by 71.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*n + n + 5*n)*(3 + 0 + 0)*(-16*n + 6*n**2 + 16*n) + 9 + 3*n**3 - 9.\nAnswer: 39*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -35 (base 13) to base 9\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h + 14 = 5*n, -n - 3*h + 30455 - 30459 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the first derivative of -d**7\/35 - 17*d**5\/120 + 7*d**3\/3 - 8. Let w(l) be the third derivative of s(l). Find the second derivative of w(m) wrt m.\nAnswer: -144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/24)\/(4\/(-24)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*sqrt(288)\/sqrt(6) - (sqrt(192)*2)**2.\nAnswer: -768 - 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 689869.\nAnswer: 689869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18 and 238.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:44 AM and 11:49 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, d: 3, s: 1, p: 1, w: 1, j: 1}. What is prob of picking 1 h, 1 d, 1 s, and 1 w?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: What is 587 minutes before 12:44 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes after 4:30 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 33*i + 2900. Determine g(-87).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = j - 2*n + 2, 3*n = 9. Suppose 10*s + j = 11*s. Solve m + s = -1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3092 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -1\/917, 5, -14, -0.07 in increasing order.\nAnswer: -14, -0.1, -0.07, -1\/917, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - 0 - -5) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 21534\/(-296)*8\/3. Is o bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 418.31, 47, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 354*r + 3885 - 2115 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 225, 379, 403, 231, -203?\nAnswer: -965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minutes after 1:37 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -4\/15187  (b) -1.03  (c) 1  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 56 and 224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 8*x**2. Let w(g) = -7*g + 239 - 491 + 254. Give c(w(k)).\nAnswer: 392*k**2 - 224*k + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6762686 and 539?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 13 - -9034b2?\nAnswer: 9034c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fffdffdkfkfk. What is prob of picking 3 k?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 134 divide 695499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**2 + 29*m + 104. Let x be z(-24). Let g be (x + 10)*(-3)\/(27\/6). Solve 0 = 2*u + 2*h, -h - g = 3*u + 3*h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 96 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -87814242 divided by -6\nAnswer: 14635707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**2 - x + 2. Let v be j(2). Let a(p) = -p**3 - 10*p**2 - 7*p - 5. Let l be a(v). Let i = l - -426. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 120 - 323. Is q at least -203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**(-2\/5))**(-7)\/(m**(-2\/7))**(-3\/13))**(-13))**40 assuming m is positive.\nAnswer: m**(-9952\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -137200\/249 or -550?\nAnswer: -137200\/249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18882 = 18*t - 27*t. Does 25 divide (0 - t\/(-4)) + 28\/56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.3 or -2171497?\nAnswer: -2171497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 183 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1483734 is divided by 164849.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-295)\/(-575) - (-10)\/115. Find y, given that -y**2 + m*y + 2\/5 = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and 3075.06?\nAnswer: -6150.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.19749467795 and 1.103.\nAnswer: 1.30049467795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*f**3 - 29*f**3 - 12*f**3.\nAnswer: -28*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8823736ml in litres?\nAnswer: 0.0008823736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 100 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k - 3*x = 4, 0 = 3*k + 2*k + 5*x + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2100)\/45)\/(-20)*(-6)\/147.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 7 = 27. Let y = -7 + 4. Put y, 3, a in increasing order.\nAnswer: a, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r = -2*y + 8, 4*y + 3 = 4*r + 23 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1*(-4)\/((-144)\/(-3))*-3\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -14697701 divided by 1849?\nAnswer: -7949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -461188 divided by -4706\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**3\/4 + 8909*y**2\/4 + 21643427*y\/4 + 15959850127\/4.\nAnswer: (y + 1703)**2*(y + 5503)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sec when three letters picked without replacement from cvseecwcwwewaecvww.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*f = -40 - 466. Let d = -42 - f. Find the third derivative of 5*j**d - 25*j**4 - 5*j**4 - 5*j**2 - 7*j**4 wrt j.\nAnswer: -768*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 5491 - 13749 = -3*n, -3*l = 10*n - 14368. What is the highest common divisor of l and 896?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from crcrzic. What is prob of sequence izi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let -44*i**3\/3 + 54*i**2 + 584*i\/3 + 56 = 0. What is i?\nAnswer: -2, -7\/22, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 125 divide 643674625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 376 divided by 6\nAnswer: 188\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9)\/(-6))\/(3\/2)*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (64\/80)\/((-14)\/10)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 313, 311, 309, 307, 305, 303?\n\"Answer: -2*x + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6238?  (a) -1  (b) 5\/4  (c) -3.5  (d) 0  (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 5*(-12)\/90 + 273\/315. Factor -o*x**2 + 0 + 7\/5*x.\nAnswer: -x*(x - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -1 - 2*y - y**2 - 2*y**3 + 0*y + 3*y**3. Let m be z(2). Let v = m - -6. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -11*l**2 + l + 25946. Let n(o) = -14*o. Determine u(n(p)).\nAnswer: -2156*p**2 - 14*p + 25946","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20 + 19 + -13 + 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33059 is divided by 39.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -60*q**5 - 123*q**4 + 177*q**3 + 15*q**2 - 9*q = 0.\nAnswer: -3, -1\/4, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 6\/3161, 1, 12, 0.3?\nAnswer: 6\/3161","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:57 PM and 11:12 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 17\/102 + 7426\/8892 + -5 + 4. Which is bigger: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 131379*g**3 - 1924*g**2 - 27 wrt g.\nAnswer: 788274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 602.7927l to millilitres.\nAnswer: 602792.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h + 2 = 3*z, -3*z - 4*h + 26 = -8*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*x = -2*x - 9603. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hwww. What is prob of picking 1 w and 1 h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -25*j. Let k(x) be the first derivative of -x**2\/2 - 44. Calculate c(k(w)).\nAnswer: 25*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -316 divided by -79?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -5*(-2*sqrt(1800))**2*4.\nAnswer: -144001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:29 PM and 2:02 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**2 - z + 2. Determine q(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*z - 11*z - 40 = 4*i, 3*i = -12. Sort -5, -1, z in decreasing order.\nAnswer: -1, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 2574705 - 2927787 = 0. Suppose -4*m - 3*v = 445848 + r, 0 = 4*m - 2*v + 2279992. Round m to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**3 + 32*r**2 - 27*r + 285. Give x(-33).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 442623 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the first derivative of -p**6\/120 - p**5\/5 - p**4\/2 - 4*p**3\/3 + 175*p**2\/2 - 260. Let q(u) be the second derivative of y(u). Determine q(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-1410)\/846)\/((-150)\/(-324)*-3))\/((-4)\/6)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14582467?\nAnswer: 14582467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vlvl when four letters picked without replacement from {v: 2, l: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-18)\/(-45))\/((-4)\/(-50)). Which is the third biggest value?  (a) x  (b) -0.1  (c) -3  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-97394)\/932)\/((-22)\/4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7 - -18. Let y = -11 + r. Suppose -14*w + 8*w = -30. What is the closest to y in w, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.383533 rounded to three decimal places?\nAnswer: -0.384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 240*f - 225*f = 5188905. Suppose -11*p + f = 118040. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 25.9191985 to 3 dps.\nAnswer: 25.919","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 + -765444?\nAnswer: -765445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 25670 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 456719821.\nAnswer: 47, 9717443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 143398 plus -40676?\nAnswer: 102722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 + -1020?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11563 - -27425. Is 103 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 3*y**2 + 2*y + 4. Calculate the smallest common multiple of f(-2) and 208.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jollllllc. What is prob of picking 1 l, 1 o, and 1 c?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d*d\/d**(-9))\/(d*d*d**(2\/7)))\/((d*(d*d**(2\/7))\/d*d)\/((d*d**(-2\/11))\/d)) assuming d is positive.\nAnswer: d**(558\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -3550.00426 rounded to the nearest integer?\nAnswer: -3550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17063, 18359, 19655, 20951, 22247, 23543?\nAnswer: 24839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Is 82952267 != 248856797\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 10*j**2 + 2*j + 57. Let x(u) = 49*u**2 + 11*u + 287. Calculate 11*q(k) - 2*x(k).\nAnswer: 12*k**2 + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -k. Let z = 10 - k. Let f(i) = i**2 - 10*i + 26. Let c be f(5). Is z greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 499 - 472. Let j(m) be the second derivative of -7*m**4\/2 + 345*m. Let i(o) = -6*o**2. Calculate r*i(q) - 4*j(q).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -2 + 2*f + 2. Let i(b) be the second derivative of 0*b**2 + 4*b + 0*b**3 - 13 + 7\/6*b**4. Give i(q(s)).\nAnswer: 56*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:22 AM and 12:48 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the second derivative of 4\/7*h**7 + 6 - 47\/12*h**4 + 0*h**5 + 0*h**2 + 0*h**6 + 4*h + 0*h**3. Find the third derivative of a(w) wrt w.\nAnswer: 1440*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 413 is divided by 72?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((-4 + (sqrt(99) + -3*sqrt(99)*2 + sqrt(99) - sqrt(99)))**2 - (sqrt(44)\/(sqrt(4)*3*6) + -2)).\nAnswer: 2159*sqrt(11)\/18 + 2497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand r**2 + 3*r - 3*r + (4 + 5 - 5)*(-r - 3*r + 0*r)*(-r + 7*r - 2*r)*(-1 + 4 + 0).\nAnswer: -191*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 14*u**2 - 388*u - 1498. What is c(-4)?\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 219, 287, 333, 363, 383?\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 99 a factor of 1090812690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = g - 0*g - 6, -13 = -4*g + 5*x. Suppose -13 = -3*h + g. Solve 8*q + 12 = h*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 454*q + 1356*q - 27150 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1087*p**2 - 2213*p**2 + 1131*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 8 + 4. Suppose 5*j - 161 = -4*l, 0*l - 2*j = r*l - 119. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b = a + 6, -5*a + 12 = -4*b + 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -r**2\/3 - 9200*r + 55204\/3 = 0?\nAnswer: -27602, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (82\/41)\/((-60)\/(-40)*20\/2)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -102 divided by 5711451.\nAnswer: -34\/1903817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**3 + 4*o**2 + o - 3. Suppose 1 = v + 2*g, 3*v = g - 120 + 130. Calculate k(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 6 - 1)*(f**3 + f**5 - f**3) - 8*f**5 + 25*f**5 + 101*f**5 + (f - 2*f + 2*f)*(-3*f**4 + f**4 + 3*f**4).\nAnswer: 121*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4, 26, 76, 166, 308, 514, 796?\nAnswer: 1166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -36*w**5 - 656*w**5 + 51*w**4 - 589*w - 51*w**4 + 91*w wrt w?\nAnswer: -13840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 3, 0, -7, -18, -33, -52?\n\"Answer: -2*j**2 + 3*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 3*d**2 + 542*d - 869. Calculate k(-182).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 2*d = -5*b - 43, 0 = 3*d + 3*b - 12. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 32319891 and 43093188.\nAnswer: 129279564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(684) + -3)**2.\nAnswer: -36*sqrt(19) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -6 - (126 - 115).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -30*o**2 + 30. Let x(f) = f**2 - 2. Determine 2*p(c) + 30*x(c).\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -8  (b) -0.1  (c) 2\/5  (d) 24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 12  (b) -0.1  (c) 3  (d) -3\/2  (e) -5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 165379\/249 less than or equal to 665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**3 - 6*x**2 - 6*x - 28. Let k be z(8). Calculate the highest common factor of k and 416.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 371819311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the second derivative of -3*a**4\/8 + 30*a**2 + 11*a. Let z(m) be the first derivative of j(m). Calculate z(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + 4*w + 9 = 5*a, 4*a - 5 = w. Let m = -158020 + 158016. Put m, -13, a in increasing order.\nAnswer: -13, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 <= -118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -62*y**2 + 0*y + 3*y + y - 5*y to l*y**2 + f*y + t and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q - 0 + 21. Suppose -4*a = -5*g + 5599989, -2*g + 6999985 = -5*a + 3*g. Let d be 2\/q - a\/14. Round d to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - d)*(d + d - d)*(-5*d - 8*d + 4*d) + (-6*d + 4*d + 4*d)*(-4*d**2 + d**2 + 5*d**2).\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:08 AM and 12:24 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*l + 4*t, -2*l = -3*t - 48 + 44. Put 0, l, 8, 1 in decreasing order.\nAnswer: 8, 1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.09*-49.01879.\nAnswer: -4.4116911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3240 - 143220323?\nAnswer: -143212033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-25 - 0) + 1424 + -1379\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 703 and 5498068.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -5*(-49)\/(-210)*6*-1*5?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in seventy-one fifths of a millennium?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dadagagaddaa. What is prob of sequence dada?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sfpyypscsywcfsc. What is prob of sequence spc?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 352180733?\nAnswer: 211, 1669103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2297 and 55?\nAnswer: 12.6335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 2*t + 170 = 0, -t + 6*t + 85 = d. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-51 + 51 - 13*a)*(-6 + 3 - 2).\nAnswer: 65*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 23866 - 1622951\/68. What is the common denominator of a and -1 - (82\/(-6) + 0)?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 times -11.41?\nAnswer: 5.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes after 4:26 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v - 20 = 2*v. Differentiate v + 4*d**3 - 4 + 2 wrt d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 97145 and 245.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 76992 is divided by 3313.\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjjjjjjjljjjjj. What is prob of picking 2 j?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + 4 - (-2 - -99 - (-35 + 24 - -5)).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52 = 2*j + 2. Let n = 41 + j. What is the highest common divisor of n and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 2*r**2. Let p(u) = u + 90*u**2 - u - 83*u**2. Determine w(p(l)).\nAnswer: 98*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30123201 - 383.431.\nAnswer: -30123584.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Do 219129 and 219133 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20 - -29. What is z in 3*z**3 + 31*z**4 - 16*z**4 - z**3 + 4*z**3 + n*z**5 = 0?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - 5 - (-22 - (-6 + 4) - -4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**2 - 17*f + 6. Let b be y(17). Let a be (-13 - -7) + b\/1. Solve 8 = 2*h - a*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 193332 is divided by 467?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -87 - -61. Let m = 124 - 87. Let i = m + g. What is the lowest common multiple of 3 and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 84*v**2 - 346*v - 121. Let a(u) = 21*u**2 - 86*u - 33. Determine -11*a(h) + 3*w(h).\nAnswer: 21*h**2 - 92*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i + 6. Let q be a(6). Suppose 0 = -0*z - 5*z + x + q, 0 = -x - 2. Find the third derivative of -g**z + 8*g - 2*g**5 - 8*g wrt g.\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 834420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2998 = -2*b - s + 5*s, -s + 4522 = -3*b. Let o = -2953\/2 - b. What is the common denominator of (-296)\/30*(-20)\/8 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 3299692927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -31f8d8 (base 16) to base 6\nAnswer: -154105520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 4082022 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 = j - 2*u, -3*u = 3*j - 5*u + 131. Let q = 63 + j. Let z be (-6342)\/(-70) + (-6)\/10. What is the highest common factor of q and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 27\/(-72) + -29*6\/48. What is the smallest value in 10, 1, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1212030\/13 greater than or equal to -93232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 2*v**2 + 5*v. Let m(u) = -4*u - 7 - 6 - 3*u - 2*u. What is the remainder when m(-4) is divided by j(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 42 + -57. Let g = u + -57. Let a = -73.6 - g. Round a to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + j - 31 = 0, j - 5*j - 11 = -3*q. Suppose -2*z + q = 1. Suppose 5*m - 2 = z*v, -4 = 6*v - 4*v - 4*m. Is v a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1990 or -720193\/362?\nAnswer: -1990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 281*n**2 + 2*n + 659 - 98*n**2 + 3*n**3 - 116 - 95*n**2 - 89*n**2 to the form p*n**2 + m*n + r*n**3 + y and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most as big as -4\/8675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -10001001111011010 (base 2) to base 6\nAnswer: -1302534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 4*t**2 - t - 2. Is d(2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/(a\/((a*a*a\/(a\/((a\/(a*a**(-1\/6)))\/a*a)))\/a))*a)**39)**(-46))**11 assuming a is positive.\nAnswer: a**(-42757)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2629\/2 - -1316. What is the fourth smallest value in 2, 0.057, j, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1225.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 5*s**3 - 335*s**2 + 3435*s - 7425 = 0.\nAnswer: 3, 9, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 143*i**2. Let a(l) = -17*l + 81*l**2 - 83*l**2 + 17*l. Determine a(v(p)).\nAnswer: -40898*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000970738 to 5 dps.\nAnswer: 0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 20 = -r - 5*t, 5*r + t - 5 = 0. Let h(m) = -m + 0*m - 1 + 1 + 2. Calculate h(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**2 - 5*t**3 - 3*t - 2*t**2 + t**3. Let z(l) = 0*l + 3*l**3 + 4*l + 0*l + l**2 + 2*l**3. Calculate 4*v(j) + 3*z(j).\nAnswer: -j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.24986144 to two dps.\nAnswer: 2.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kjj when three letters picked without replacement from ojjodjkjdrdrrjjjodr?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1870590.834 nanoseconds to weeks.\nAnswer: 0.000000003092908125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 PM and 5:03 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 545012550.\nAnswer: 2, 3, 5, 31, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 111 a factor of 141310436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*n + 26*n = 626775. Does 47 divide n\/(-27) + (-12)\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3227 divided by -6.\nAnswer: -3227\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -24 - -37. Let s(p) = p - 12. Let w be s(n). Let m(f) = 88*f**3 - 1. Is m(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*u + 3*p - 15, 5*u + 40*p - 43*p + 15 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, c: 4}. Give prob of sequence cyyy.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*r - 4*r + 4*r)*(-3 - 17 + 0).\nAnswer: -80*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 2*p - 259 = 0, 5*d + 5*p + 108 = 4*d. Let r = d - -251\/3. What is the second smallest value in -1\/10, 1\/2, r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-234)\/(-15))\/(132\/(-880)) + (-48)\/(-3).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8339 - -9806. What is the remainder when k is divided by 489?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u - 2. Let k(b) = 53. Let p(o) = 3*d(o) + k(o). What is the units digit of p(27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4687 + -3831. Calculate the highest common divisor of 32 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -29, 168, 513, 1000, 1623, 2376, 3253?\n\"Answer: -s**3 + 80*s**2 - 36*s - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + 4*r - 43 = 0, 3*p - 31 = 34049*r - 34053*r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2201178*v - 2201119*v - 826 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and -0.80774769 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 1\/254*3648\/912\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.05 and 0.5.\nAnswer: -0.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -20?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -4 + 2 + 3*a + a. Let c be j(-4). List the prime factors of (2\/6)\/((-2)\/c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 22  (b) 3\/5  (c) 2\/7  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -q**6 + 27*q**5 + 54*q**2?\nAnswer: -120*q**3 + 1620*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-6)\/7)\/3 - 666\/(-126). Let x(g) = g**2 - 5*g + 5. Let d(o) = -o + 1. Let p(l) = y*d(l) - x(l). Let h(w) = 6*w. What is h(p(n))?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 686, 623, 550, 467, 374?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1795453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2300 - 2845 = -15*b. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4 + -1)*6\/(-5). Suppose 9 = o*y - 3*y. Let t = -134 - -137. Solve y*k = n - 3*n + 16, -5*n + 22 = t*k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -80 and -146658.\nAnswer: 11732640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 419.5964 rounded to 1 decimal place?\nAnswer: 419.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the second derivative of 0*h**2 + 5\/3*h**3 + 0 + 15\/4*h**4 - 5*h. Solve x(c) = 0 for c.\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 k and 1 b when four letters picked without replacement from bkkttdktkbbkktbktb.\nAnswer: 35\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:27 AM and 8:13 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m - 7. Let i be b(3). List the prime factors of (-508)\/(-16) - 1\/i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**3 + 3*g**2 - 8*g + 10. Let w = 41 + -32. Suppose 14*k - w*k + 25 = 0. Let c be z(k). Solve -3*p + c*r - 5 = 2*r, -5*r - 18 = 2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 111\/200 and -41\/90.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*v + 0*v + 0*v)*(-4*v**2 - 3*v**2 + 6*v**2) - 2*v**3 + 3*v**3 + 3*v**3.\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-36)\/270*(-16)\/((-160)\/(-750))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -2*t**2 + 52*t - 6. Let k(g) = -g**2 + 87*g - 1267. Let q be k(68). Give j(q).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -20, -78, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1633584305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 10 = 28. Let q(b) = b**3 - 5*b**2 - 12*b + 4. Let n be q(s). Let x = 36 + n. Solve -x*c + 6 = -c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f**3 - 13*f**2 + 15*f + 8. Give a(12).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 9\/3 - 6\/(-2). Let u(n) = -5*n**2 + 6*n + 2. Let r(x) = x**3 + 10*x**2 + 5. Let b be r(-10). Let p(m) = 4*m**2 - 5*m - 2. Give b*u(c) + l*p(c).\nAnswer: -c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((0\/(-4))\/5)\/(0\/(-2) + -1). Do 10\/3617 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -33\/2, -2\/5, -1, -0.06 in descending order.\nAnswer: 0.5, -0.06, -2\/5, -1, -33\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (486\/(-63))\/9*-7*1. Let y(c) be the first derivative of -r + 0*c + 0*c**2 + 13\/3*c**3. Let t(k) = 2*k. Determine t(y(x)).\nAnswer: 26*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 109.2275cm?\nAnswer: 1.092275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 o when two letters picked without replacement from oohhhooooooo?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 30.5 + -33. Let k = u - -2.38. Let m = -0.28 + k. Which is the third smallest value?  (a) m  (b) -3  (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 556344 and 556344 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7897370 and 20.\nAnswer: 15794740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**3 + 10*z**2 - 27*z - 32. Let p be v(-12). Solve p*q = -9*q - 0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 13300.381 to the nearest 10.\nAnswer: 13300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -3*s**2 + 268*s + 14030. Give w(-37).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -148*q - 480 = -26*q + 118*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10.8 or -113.73?\nAnswer: -113.73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 4  (b) -3  (c) 19  (d) 150.121  (e) -3\/5  (f) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 149 a factor of 6589078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -2*q**2 - 12*q + 6. Let r(d) = -8*d**2 - 49*d + 25. Determine -9*k(z) + 2*r(z).\nAnswer: 2*z**2 + 10*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 4*m - 1 + 2 + 2*m - 2*m - 4*m + (-3 + 5 - 1)*(-1 + m + 1) - 3*m + 0*m + 5*m + (-3*m - 2*m + 2*m)*(3 - 1 + 1).\nAnswer: -6*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 2*k**2. Let g(l) = 8*l**2. Let o(s) = 43*s - 81*s + 38*s - 9*s**2. Let t(h) = 6*g(h) + 5*o(h). What is t(j(z))?\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -15457000 rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16 - 56. Let s = 94 + n. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x*x**16*x)*x)\/x*x\/((x**(-17)\/x)\/x) assuming x is positive.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 + 114 = 11*i. Solve 0 = -4*d - i + 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 122329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 732939076 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide (-27 - -15) + 0 - -1*69180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -5 - 1 + 0 + 0*j - j. Let n(d) = 2*d + 7. Let k(i) = -3*n(i) - 4*x(i). Differentiate k(y) wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 - -1) + 2 + 10 + -12?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - q = -6, -4*w + 5*q = -w + 18. Which is the nearest to w?  (a) -0.2  (b) 1\/6  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 223*n**2*q + 61*n**2 wrt q.\nAnswer: 223*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**3 + 12*m**2 + 13*m + 26. Determine g(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -127 = -10*a - 27. Let b = a - 8. What is the common denominator of 10\/33 and b - ((-2 - (-753)\/54) + -4)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15180\/483 - 32)*(-1 - (-22)\/36).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 4.632888 and -12505046.\nAnswer: -12505041.367112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -9  (b) -1\/2  (c) -1\/4  (d) 9\/4  (e) -2  (f) -0.03\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -114, -1\/10, 1, -0.3, -0.03?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/(-5) - 1\/(5\/4). Let a(b) = 3*b**2 + 2*b + 1. What is a(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 363 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}